The SAS
System 1
16:43 Thursday, September 4, 2003
Obs sn school
region dep anx
1 1 e
mt 13.8841 41.111
2 2 e
mt 66.8004 121.475
3 3 e
mt 40.5782 121.675
4 4 e
mt 59.8734 103.588
5 5
e mt 84.7704
118.232
6 6 e
mt 54.9218 62.458
7 7 e
mt 63.1259 140.896
8 8 e
mt 63.8040 116.806
9
9 e mt
29.6637 72.344
10 10 e
mt 83.9336 115.829
11 11 e
mt 66.6998 122.229
12 12 e
pd 74.7233 145.779
13
13 e pd
55.9017 117.697
14 14 e
pd 65.5721 133.496
15 15 e
pd 44.5053 99.002
16 16 e
pd 88.5693 89.982
17 17 e
pd 59.8350 104.093
18 18 e
pd 53.8154 90.226
19 19 e
pd 74.1691 107.432
20 20 e
pd 82.2499 106.282
21 21 e
pd 56.9291 126.832
22 22 e
pd 52.7095 82.418
23 23 e
ct 41.1582 119.002
24 24 e
ct 52.3150 71.859
25 25 e
ct 42.6881 110.361
26 26 e
ct 43.2770 92.155
27 27 e
ct 60.1689 103.425
28 28 e
ct 60.6654 120.601
29 29 e
ct 43.7758 175.041
30 30 e
ct 70.1284 92.059
31 31 e
ct 45.9578 99.546
32 32 e ct
50.9755 84.409
33 33 e
ct 44.6401 97.622
34 34 m
mt 58.9348 73.314
35 35 m
mt 65.5741 89.918
36 36 m
mt 66.1563 91.984
37 37 m
mt 25.2364 121.241
38 38 m
mt 37.0383 79.311
39 39 m
mt 19.8505 113.047
40 40
m mt 22.7806 89.730
41 41 m
mt 34.7680 126.046
42 42 m
mt 66.5682 62.387
43 43 m
mt 45.7563 101.494
44
44 m mt
60.3764 87.859
45 45 m
pd 55.5819 102.895
46 46 m
pd 31.1926 85.042
47 47 m
pd 51.5617 107.264
48 48 m
pd 56.8348 68.842
49 49 m
pd 60.8674 89.470
The SAS
System 2
16:43 Thursday, September 4, 2003
Obs sn school
region dep anx
50 50 m
pd 24.8565 87.764
51 51 m
pd 76.9039 101.593
52 52
m pd 36.9111
102.949
53 53 m
pd 41.9661 117.714
54 54 m
pd 74.7322 17.571
55 55 m
pd 53.1188 157.271
56
56 m ct
69.5264 90.139
57 57 m
ct 61.8127 97.753
58 58 m
ct 54.6441 103.845
59 59 m
ct 33.1523 90.934
60 60
m ct 56.2267
130.803
61 61 m
ct 23.9409 97.028
62 62 m
ct 26.0715 158.092
63 63 m
ct 65.2166 69.295
64 64 m
ct 53.4644 127.261
65 65 m
ct 56.7826 125.990
66 66 m
ct 75.3949 132.371
67 67 h
mt 51.2102 136.950
68 68 h
mt 20.0385 67.443
69 69 h
mt 74.3731 141.766
70 70 h
mt 41.4041 100.343
71 71 h
mt 51.4706
95.434
72 72 h
mt 58.1307 105.358
73 73 h
mt 59.7271 125.464
74 74 h
mt 50.2542 126.350
75 75 h
mt 55.7964
155.564
76 76 h
mt 39.3995 50.148
77 77 h
mt 69.0542 92.848
78 78 h
pd 57.0417 57.603
79 79 h
pd 48.1935 122.155
80 80 h
pd 31.5548 122.460
81 81 h
pd 59.3465 122.497
82 82 h
pd 23.6775 100.508
83 83 h
pd 36.6846 111.619
84 84 h
pd 39.4744 139.147
85 85 h
pd 92.0427 119.165
86 86 h
pd 39.6790 58.592
87
87 h pd
55.3403 95.655
88 88 h
pd 49.3727 105.540
89 89 h
ct 26.7549 60.064
90 90 h
ct 74.6080 120.949
91
91 h ct
27.6541 117.151
92 92 h
ct 70.3249 143.039
93 93 h
ct 54.2520 117.929
94 94 h
ct 63.9590 115.466
95 95 h
ct 59.6480 83.332
96 96 h
ct 45.4581 74.700
97 97 h
ct 55.6040 88.296
98 98 h
ct 58.8937 131.847
The SAS
System 3
16:43 Thursday, September 4, 2003
Obs sn school
region dep anx
99 99
h ct 27.8744 91.753
100 100 h
ct 37.6750 104.066
name, univariate to assess distribution 4
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: anx
Moments
N 100 Sum Weights 100
Mean 104.053797 Sum Observations 10405.3797
Std
Deviation 26.5632721 Variance 705.607426
Skewness -0.2604103 Kurtosis 0.67940887
Uncorrected
SS 1152574.4 Corrected SS 69855.1352
Coeff
Variation 25.5284026 Std Error Mean 2.65632721
Basic Statistical Measures
Location
Variability
Mean 104.0538 Std Deviation 26.56327
Median 103.7162 Variance 705.60743
Mode . Range 157.46991
Interquartile
Range 31.75131
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 39.17206
Pr > |t| <.0001
Sign M 50
Pr >= |M| <.0001
Signed Rank S 2525
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 175.0406
99% 166.5664
95% 144.4089
90% 135.2227
75% Q3 121.5753
50% Median 103.7162
25% Q1 89.8240
10% 69.0685
5% 59.3284
1% 29.3407
0% Min 17.5707
name, univariate to assess distribution 5
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
17.5707 54 145.779 12
41.1107 1 155.564 75
50.1483 76 157.271 55
57.6029 78 158.092 62
58.5923 86 175.041 29
Stem
Leaf # Boxplot
17
5 1 0
16
15
678 3 |
14
1236 4 |
13
122379 6 |
12
111122222566677 15 +-----+
11
0235677888899 13 | |
10
00112333444456677 17 *--+--*
9 00000122223567889 17 +-----+
8
23458889 8 |
7
22359 5 |
6
022799 6 |
5 089 3 |
4
1 1 0
3
2
1
8 1 0
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate to assess distribution 6
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: anx
Normal
Probability Plot
175+
*
| +++
| **+*
|
****
|
+****
| ******
| ****+
| *****
95+ *****
| *****
| ***
| *****
| +***
|
+++*
|+
|
15+*
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1
+2
name, univariate to assess distribution 7
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: dep
Moments
N 100 Sum Weights 100
Mean 52.4255756 Sum Observations 5242.55756
Std
Deviation 16.7918384 Variance 281.965836
Skewness -0.1042801 Kurtosis -0.3660847
Uncorrected
SS 302758.716 Corrected SS 27914.6178
Coeff
Variation 32.0298598 Std Error Mean 1.67918384
Basic Statistical Measures
Location
Variability
Mean 52.42558 Std Deviation 16.79184
Median 54.78296 Variance 281.96584
Mode .
Range 78.15852
Interquartile
Range 22.59673
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t
31.22087 Pr > |t| <.0001
Sign M 50
Pr >= |M| <.0001
Signed Rank S 2525
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 92.0427
99% 90.3060
95% 79.5769
90% 74.4905
75% Q3 63.4649
50% Median 54.7830
25% Q1 40.8682
10% 27.2045
5% 23.8092
1% 16.8673
0% Min 13.8841
name, univariate to assess distribution 8
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs
Value Obs
13.8841 1 82.2499 20
19.8505 39 83.9336 10
20.0385 68 84.7704 5
22.7806 40 88.5693 16
23.6775 82 92.0427 85
Stem
Leaf # Boxplot
9
2 1 |
8
59 2 |
8
24 2 |
7
55557 5 |
7
00044 5 |
6
56667779 8 |
6
000000112344 12 +-----+
5
5556666677778999 16 *-----*
5
01112233344 11 |
+ |
4 5556689 7 | |
4
01112334 8 +-----+
3
5777899 7 |
3
0123 4 |
2 556788 6 |
2
00344 5 |
1 |
1
4 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate to assess distribution 9
16:43 Thursday, September 4, 2003
The UNIVARIATE
Procedure
Variable: dep
Normal
Probability Plot
92.5+
++*
| +*+
| ***
|
+**
|
****
| ****
| ***
| ******
52.5+ ****+
| **+
| ***
| +***
| ++**
| ++****
| *****
| +*+
12.5+*++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, means for distributions 10
16:43 Thursday, September 4, 2003
The MEANS Procedure
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 100
104.0537967 26.5632721 17.5706762 175.0405889
dep 100
52.4255756 16.7918384 13.8841473 92.0426659
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
name, creating histograms to examine skew 11
16:43 Thursday, September 4, 2003
Frequency
‚ *****
‚ *****
‚ *****
‚ ***** *****
25 ˆ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
*****
20 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
15 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ *****
***** *****
‚ ***** *****
***** *****
10 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
5 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
*****
‚ *****
***** ***** *****
***** *****
‚ ***** *****
***** ***** *****
*****
‚ *****
***** ***** *****
***** ***** *****
*****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
10 30
50 70 90
110 130 150
170 190
anx Midpoint
name, creating histograms to examine skew 12
16:43 Thursday, September 4, 2003
Frequency
‚ *****
25 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
20 ˆ *****
‚ *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
***** *****
15 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
10 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** *****
5 ˆ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
*****
‚ *****
***** ***** *****
***** ***** *****
***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
10 20
30 40 50
60 70 80
90 100
dep Midpoint
name, univariate sorted by region 13
16:43 Thursday,
September 4, 2003
--------------------------------- region=ct
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 34 Sum Weights 34
Mean 107.005324 Sum Observations 3638.18103
Std
Deviation 25.1468714 Variance 632.365141
Skewness 0.56181229 Kurtosis 0.52266698
Uncorrected
SS 410172.791 Corrected SS 20868.0497
Coeff
Variation 23.5005796 Std Error Mean 4.31265287
Basic Statistical Measures
Location
Variability
Mean 107.0053 Std Deviation 25.14687
Median 103.6351 Variance 632.36514
Mode . Range 114.97616
Interquartile
Range 30.01486
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 24.81195
Pr > |t| <.0001
Sign M 17
Pr >= |M| <.0001
Signed Rank S 297.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 175.0406
99% 175.0406
95% 158.0922
90% 132.3707
75% Q3 120.9491
50% Median 103.6351
25% Q1 90.9342
10% 74.6997
5% 69.2947
1% 60.0644
0% Min 60.0644
name, univariate sorted by region 14
16:43 Thursday, September 4, 2003
--------------------------------- region=ct
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
60.0644 23 131.847 32
69.2947 19 132.371 22
71.8593 2 143.039 26
74.6997 30 158.092 18
83.3323 29 175.041 7
Stem
Leaf # Boxplot
17
5 1 0
16
15
8 1 |
14
3 1 |
13
122 3 |
12 1167 4 +-----+
11
05789 5 | |
10
0344 4 *--+--*
9
01222788 8 +-----+
8
348 3 |
7
25 2 |
6
09 2 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
175+ *
|
++++
| *++++
|
*+++
|
***+
|
****
| ****
| ++**
| ********
| ***++
| *+*+
65+ * +*++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region 15
16:43 Thursday, September 4, 2003
--------------------------------- region=ct
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 34
Sum Weights 34
Mean 51.0202755 Sum Observations 1734.68937
Std
Deviation 14.6079101 Variance 213.391038
Skewness -0.2906323 Kurtosis -0.7576314
Uncorrected
SS 95546.2337 Corrected SS 7041.90424
Coeff
Variation 28.6315783 Std Error Mean 2.50523592
Basic Statistical Measures
Location Variability
Mean 51.02028 Std Deviation 14.60791
Median 53.85820 Variance 213.39104
Mode . Range 51.45396
Interquartile
Range 17.97730
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 20.36546
Pr > |t| <.0001
Sign M 17
Pr >= |M| <.0001
Signed Rank S 297.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 75.3949
99% 75.3949
95% 74.6080
90% 70.1284
75% Q3 60.6654
50% Median 53.8582
25% Q1 42.6881
10% 27.6541
5% 26.0715
1% 23.9409
0% Min 23.9409
name, univariate sorted by region 16
16:43 Thursday, September 4, 2003
--------------------------------- region=ct
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
23.9409 17 69.5264 12
26.0715 18 70.1284 8
26.7549 23 70.3249 26
27.6541 25 74.6080
24
27.8744 33 75.3949 22
Stem
Leaf # Boxplot
7
55 2 |
7
000 3 |
6
5 1 |
6
00124 5 +-----+
5
56679 5 | |
5
1234 4 *--+--*
4
556 3 | |
4
1334 4 +-----+
3
8 1 |
3 3 1 |
2
6788 4 |
2
4 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
77.5+ +++ *
|
*+*++*
|
**+
|
****
| ****+
| ****+
| +*++
| *****
| +*+
| ++++*
| *++* **
22.5+ *+++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1
+2
name, univariate sorted by region 17
16:43 Thursday, September 4, 2003
--------------------------------- region=mt
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 33 Sum Weights 33
Mean 102.140665 Sum Observations 3370.64196
Std
Deviation 27.9107832 Variance 779.011821
Skewness -0.3204873 Kurtosis -0.4758631
Uncorrected
SS 369207.991 Corrected SS 24928.3783
Coeff Variation 27.3258287 Std Error Mean 4.85864372
Basic Statistical Measures
Location
Variability
Mean 102.1407 Std Deviation 27.91078
Median 103.5876 Variance 779.01182
Mode . Range 114.45309
Interquartile
Range 33.81646
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 21.02246
Pr > |t| <.0001
Sign M 16.5
Pr >= |M| <.0001
Signed Rank S 280.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 155.5638
99% 155.5638
95% 141.7663
90% 136.9499
75% Q3 121.6752
50% Median 103.5876
25% Q1 87.8588
10% 62.4583
5% 50.1483
1% 41.1107
0% Min 41.1107
name, univariate sorted by region 18
16:43 Thursday, September 4, 2003
--------------------------------- region=mt
----------------------------------
The UNIVARIATE Procedure
Variable:
anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
41.1107 1 126.350 30
50.1483 32 136.950 23
62.3873 20 140.896 7
62.4583 6 141.766 25
67.4426 24 155.564 31
Stem
Leaf # Boxplot
15
6 1 |
14
12 2 |
13
7 1 |
12
1122566 7 +-----+
11
3678 4 | |
10
0145 4 *--+--*
9
00235 5 | |
8
8 1 +-----+
7
239 3 |
6
227 3 |
5
0 1 |
4
1 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
155+ +++*
|
*++*
|
++*+
|
****+**
| ***++
| ****+
| ***+
| +**
| +*+**
| +*+**
|
+*+
45+ +*++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region 19
16:43 Thursday, September 4, 2003
--------------------------------- region=mt
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 33 Sum Weights 33
Mean 51.5743544 Sum Observations 1701.9537
Std
Deviation 18.5546977 Variance 344.276808
Skewness -0.374295 Kurtosis -0.578202
Uncorrected
SS 98794.0211 Corrected SS 11016.8579
Coeff
Variation 35.9765972 Std Error Mean 3.22995829
Basic Statistical Measures
Location
Variability
Mean 51.57435 Std Deviation 18.55470
Median 55.79643 Variance 344.27681
Mode .
Range 70.88629
Interquartile
Range 26.17465
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t
15.9675 Pr > |t| <.0001
Sign M 16.5
Pr >= |M| <.0001
Signed Rank S 280.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 84.7704
99% 84.7704
95% 83.9336
90% 69.0542
75% Q3 65.5741
50% Median 55.7964
25% Q1 39.3995
10% 22.7806
5% 19.8505
1% 13.8841
0% Min 13.8841
name, univariate sorted by region 20
16:43 Thursday, September 4, 2003
--------------------------------- region=mt
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest----- -----Highest-----
Value Obs Value Obs
13.8841 1 66.8004 2
19.8505 17 69.0542 33
20.0385
24 74.3731 25
22.7806 18 83.9336 10
25.2364 15 84.7704 5
Stem
Leaf # Boxplot
8 5 1 |
8
4 1 |
7 |
7
4 1 |
6 667779 6 +-----+
6
00034 5 | |
5
5689 4 *-----*
5
011 3 |
+ |
4
6 1 | |
4
11 2 | |
3
579 3 +-----+
3
0 1 |
2
5 1 |
2
003 3 |
1 |
1
4 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate sorted by region 21
16:43 Thursday, September 4, 2003
--------------------------------- region=mt
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Normal
Probability Plot
87.5+ ++
|
+*+ *
|
+++
72.5+
+++ *
|
***+***
| ***+
57.5+
****+
| ***++
| *+++
42.5+ **+
| +**
| +++*
27.5+ +++**
| +++* *
| ++*
12.5+ +*+
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region 22
16:43 Thursday, September 4, 2003
--------------------------------- region=pd
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 33 Sum Weights 33
Mean 102.92596 Sum Observations 3396.55668
Std
Deviation 27.1568113 Variance 737.492401
Skewness -0.8371443 Kurtosis 2.14165373
Uncorrected
SS 373193.613 Corrected SS 23599.7568
Coeff
Variation 26.3848026 Std Error Mean 4.72739406
Basic Statistical Measures
Location Variability
Mean 102.9260 Std Deviation 27.15681
Median 104.0927 Variance 737.49240
Mode . Range 139.70021
Interquartile
Range 29.18355
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 21.77224
Pr > |t| <.0001
Sign M 16.5
Pr >= |M| <.0001
Signed Rank S 280.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 157.2709
99% 157.2709
95% 145.7785
90% 133.4956
75% Q3 119.1653
50% Median 104.0927
25% Q1 89.9818
10% 68.8424
5% 57.6029
1% 17.5707
0% Min 17.5707
name, univariate sorted by region 23
16:43 Thursday, September 4, 2003
--------------------------------- region=pd ----------------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
17.5707 21 126.832 10
57.6029 23 133.496 3
58.5923 31 139.147 29
68.8424 15 145.779 1
82.4182 11 157.271 22
Stem
Leaf # Boxplot
15
7 1 |
14
6 1 |
13
39 2 |
12
2227 4 |
11
2889 4 +-----+
10
123346677 9 *--+--*
9
0069 4 +-----+
8
2589 4 |
7 |
6
9 1 |
5
89 2 |
4
3
2
1
8 1 0
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate sorted by region 24
16:43 Thursday, September 4, 2003
--------------------------------- region=pd
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Normal
Probability Plot
155+ +++*
|
+++*
|
++*+*
|
**+**
| +***
| *******
| ***++
85+ ** ***+
| ++++
| +++*
| ++*+ *
| ++++
|++
|
15+ *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region 25
16:43 Thursday, September 4, 2003
--------------------------------- region=pd
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 33 Sum Weights 33
Mean 54.7246818 Sum Observations 1805.9145
Std
Deviation 17.3118139 Variance 299.698899
Skewness 0.27889089 Kurtosis -0.2730182
Uncorrected
SS 108418.461 Corrected SS 9590.36476
Coeff
Variation 31.6343801 Std Error Mean 3.01359998
Basic Statistical Measures
Location
Variability
Mean 54.72468 Std Deviation 17.31181
Median
55.34034 Variance 299.69890
Mode . Range 68.36517
Interquartile
Range 18.90122
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 18.15924
Pr > |t| <.0001
Sign M 16.5
Pr >= |M| <.0001
Signed Rank S 280.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 92.0427
99% 92.0427
95% 88.5693
90% 76.9039
75% Q3 60.8674
50% Median 55.3403
25% Q1 41.9661
10% 31.5548
5% 24.8565
1% 23.6775
0% Min 23.6775
name, univariate sorted by region 26
16:43 Thursday, September 4, 2003
--------------------------------- region=pd
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
23.6775 27 74.7322 21
24.8565 17 76.9039 18
31.1926 13 82.2499 9
31.5548 25 88.5693 5
36.6846 28 92.0427 30
Stem Leaf # Boxplot
9
2 1 0
8
9 1 |
8
2 1 |
7
557 3 |
7
4 1 |
6
6 1 |
6
01 2 +-----+
5
5667779 7 *--+--*
5
2334 4 | |
4
589 3 | |
4
02 2 +-----+
3
779 3 |
3
12 2 |
2
5 1 |
2
4 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate sorted by region 27
16:43 Thursday, September 4, 2003
--------------------------------- region=pd
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Normal Probability
Plot
92.5+
*++
| *+++
|
*+++
| *++
|
*+**
|
+*+
| ++*
57.5+
*******
| ***+
| **+
| ++*
| **+**
| *+*
| +++
22.5+ *+++*
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region 28
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: anx
Schematic Plots
|
180
+
| 0
|
|
160
+ |
| | | |
| | | |
| | | |
140
+ | | |
| | | |
| | | |
| | | |
120 +
+-----+ +-----+ +-----+
| | |
| | |
|
| | |
| | |
|
| *--+--* *-----*
*--+--*
100
+ |
| | +
| | |
| | |
| | |
|
| +-----+ +-----+
+-----+
| | | |
80
+ | | |
| | | |
| | | |
| | | |
60
+ | | |
| |
| |
| |
40
+ |
|
|
|
20
+ 0
|
|
|
0
+
------------+-----------+-----------+-----------
region ct mt pd
name, univariate sorted by region 29
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: dep
Schematic Plots
|
100
+
|
|
|
0
90
+
| |
| | |
| | |
80
+ | |
| | |
| | | |
| | | |
70
+ | | |
| | |
|
| | +-----+ |
| | |
| |
60
+ +-----+ |
| +-----+
| | |
| | |
|
| *-----* *-----*
*--+--*
| | |
| + |
| |
50
+ | +
| | |
| |
| | |
| | |
|
| |
| | |
| |
| +-----+ |
| +-----+
40
+ | +-----+ |
| | | |
|
| | |
| | | |
30
+ | | |
| | | |
| | | |
| | |
20
+ |
| |
| |
|
10 +
------------+-----------+-----------+-----------
region ct mt pd
name, examining means by region 30
16:43 Thursday, September 4, 2003
--------------------------------- region=ct
----------------------------------
The MEANS
Procedure
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 34
107.0053244 25.1468714 60.0644287 175.0405889
dep 34
51.0202755 14.6079101 23.9409304 75.3948883
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
--------------------------------- region=mt
----------------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 33
102.1406655 27.9107832 41.1106728 155.5637598
dep 33
51.5743544 18.5546977 13.8841473 84.7704372
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
--------------------------------- region=pd
----------------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 33
102.9259599 27.1568113 17.5706762 157.2708814
dep 33
54.7246818 17.3118139 23.6774953 92.0426659
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
name, examining chart by region 31
16:43 Thursday, September 4, 2003
--------------------------------- region=ct
----------------------------------
Frequency
12 ˆ *****
‚ *****
11 ˆ *****
‚ *****
10 ˆ *****
‚ *****
9 ˆ ***** *****
‚ ***** *****
8 ˆ ***** *****
‚ ***** *****
7 ˆ ***** *****
‚ ***** *****
6 ˆ ***** *****
‚ ***** *****
5 ˆ ***** *****
*****
‚ ***** *****
*****
4 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
3 ˆ
***** ***** *****
*****
‚ ***** *****
***** *****
2 ˆ *****
***** ***** *****
*****
‚ *****
***** ***** *****
*****
1 ˆ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
60 80 100
120 140 160
180
anx Midpoint
name, examining chart by region 32
16:43 Thursday, September 4, 2003
--------------------------------- region=ct ----------------------------------
Frequency
9 ˆ
*****
‚
*****
‚
*****
‚ *****
8 ˆ
*****
‚
*****
‚
*****
‚
*****
7 ˆ *****
‚
*****
‚
*****
‚
*****
6 ˆ
*****
‚ *****
‚
*****
‚
*****
5 ˆ ***** ***** ***** *****
*****
‚ ***** ***** ***** *****
*****
‚ ***** ***** ***** *****
*****
‚ ***** ***** ***** *****
*****
4 ˆ ***** ***** *****
***** *****
*****
‚ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
3 ˆ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
‚ ***** ***** ***** *****
***** *****
2 ˆ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
1 ˆ ***** *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
24 32 40 48 56
64 72
dep Midpoint
name, examining chart by region 33
16:43 Thursday, September 4, 2003
--------------------------------- region=mt
----------------------------------
Frequency
11 ˆ *****
‚ *****
10 ˆ *****
‚ *****
9 ˆ *****
‚ *****
8 ˆ *****
‚ *****
7 ˆ ***** *****
‚ ***** *****
6 ˆ ***** *****
*****
‚ ***** *****
*****
5 ˆ ***** *****
*****
‚ ***** *****
*****
4 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
3 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
2 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
1 ˆ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
40 60 80
100 120 140
160
anx Midpoint
name, examining chart by
region 34
16:43 Thursday, September 4, 2003
--------------------------------- region=mt
----------------------------------
Frequency
10 ˆ *****
‚ *****
‚ *****
‚ *****
9 ˆ *****
‚ *****
‚ *****
‚ *****
8 ˆ *****
‚ *****
‚ *****
‚ *****
7 ˆ *****
‚ *****
‚ *****
‚ *****
6 ˆ
***** *****
‚
***** *****
‚ ***** *****
‚
***** *****
5 ˆ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** *****
***** *****
‚ ***** ***** ***** *****
4 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
‚ ***** *****
***** *****
*****
‚ ***** *****
***** ***** *****
3 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
2 ˆ ***** *****
***** ***** *****
*****
‚ ***** *****
***** ***** *****
*****
‚ ***** *****
***** *****
***** *****
‚ ***** *****
***** ***** *****
*****
1 ˆ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚
***** ***** *****
***** ***** *****
*****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
12 24 36
48 60 72
84
dep Midpoint
name, examining chart by region 35
16:43 Thursday, September 4, 2003
--------------------------------- region=pd
----------------------------------
Frequency
16 ˆ *****
‚ *****
15 ˆ *****
‚ *****
14 ˆ *****
‚ *****
13 ˆ *****
‚ *****
12 ˆ *****
‚ *****
11 ˆ *****
‚ *****
10 ˆ *****
‚ *****
9 ˆ *****
‚ *****
8 ˆ ***** *****
‚ ***** *****
7 ˆ ***** *****
‚ ***** *****
6 ˆ ***** *****
‚ ***** *****
5 ˆ ***** *****
‚ ***** *****
4 ˆ ***** *****
*****
‚ ***** *****
*****
3 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
2 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
1 ˆ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
12.5 37.5 62.5
87.5 112.5 137.5
162.5
anx Midpoint
name, examining chart by region 36
16:43 Thursday, September 4, 2003
--------------------------------- region=pd
----------------------------------
Frequency
10 ˆ *****
‚ *****
‚ *****
‚ *****
9 ˆ *****
‚ *****
‚ *****
‚ *****
8 ˆ *****
‚ *****
‚ *****
‚ *****
7 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
6 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
5 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
4 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** ***** *****
*****
‚ ***** *****
***** *****
3 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
2 ˆ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
1 ˆ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
24 36 48
60 72 84
96
dep Midpoint
name, univariate sorted by school 37
16:43 Thursday, September 4, 2003
---------------------------------- school=e
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 33 Sum Weights 33
Mean 106.241244 Sum Observations 3505.96104
Std
Deviation 25.5575018 Variance 653.1859
Skewness 0.0011763 Kurtosis 1.33495071
Uncorrected
SS 393379.611 Corrected SS 20901.9488
Coeff Variation 24.0561019 Std Error Mean 4.44899001
Basic Statistical Measures
Location
Variability
Mean 106.2412 Std Deviation 25.55750
Median
106.2819 Variance 653.18590
Mode . Range 133.92992
Interquartile
Range 28.54173
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 23.87986
Pr > |t| <.0001
Sign M 16.5
Pr >= |M| <.0001
Signed Rank S 280.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 175.0406
99% 175.0406
95% 145.7785
90% 133.4956
75% Q3 120.6007
50% Median 106.2819
25% Q1 92.0589
10% 72.3441
5% 62.4583
1% 41.1107
0% Min 41.1107
name, univariate sorted by school 38
16:43 Thursday, September 4, 2003
---------------------------------- school=e
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
41.1107 12 126.832 32
62.4583 17 133.496 25
71.8593 2 140.896 18
72.3441 20 145.779 23
82.4182 33 175.041 7
Stem Leaf # Boxplot
17
5 1 0
16
15
14
16 2 |
13
3 1 |
12
11227 5 +-----+
11
067889 6 | |
10
034467 6 *--+--*
9 002289 6 +-----+
8
24 2 |
7
22 2 |
6
2 1 |
5
4
1 1 0
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate sorted by school 39
16:43 Thursday, September 4, 2003
---------------------------------- school=e
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Normal
Probability Plot
175+
* +
|
+++
| ++++
|
*++*
|
++*+
|
***+**
| *****
| ****
| *****
| **+*+
| *+*+
| +*++
| ++++
45++++ *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by school 40
16:43 Thursday, September 4, 2003
---------------------------------- school=e
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 33 Sum Weights 33
Mean 57.3571321 Sum Observations 1892.78536
Std
Deviation 16.310556 Variance 266.034238
Skewness -0.2069931 Kurtosis 0.48867866
Uncorrected
SS 117077.835 Corrected SS 8513.09561
Coeff
Variation 28.4368403 Std Error Mean 2.83930336
Basic Statistical Measures
Location Variability
Mean 57.35713 Std Deviation 16.31056
Median 56.92912 Variance 266.03424
Mode . Range 74.68516
Interquartile
Range 22.05966
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 20.20113
Pr > |t| <.0001
Sign M 16.5
Pr >= |M| <.0001
Signed Rank S 280.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 88.5693
99% 88.5693
95% 84.7704
90% 82.2499
75% Q3 66.6998
50% Median 56.9291
25% Q1 44.6401
10% 41.1582
5% 29.6637
1% 13.8841
0% Min 13.8841
name, univariate sorted by school 41
16:43 Thursday, September 4, 2003
---------------------------------- school=e ----------------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
13.8841 12 74.7233 23
29.6637 20 82.2499 31
40.5782 14 83.9336 21
41.1582 1 84.7704 16
42.6881 3 88.5693 27
Stem
Leaf # Boxplot
8
59 2 |
8 24 2 |
7
5 1 |
7
04 2 |
6
677 3 +-----+
6
000134 6 | |
5
567 3 *--+--*
5
1234 4 | |
4
556 3 +-----+
4
11334 5 |
3 |
3
0 1 |
2 |
2 |
1 |
1
4 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate sorted by school 42
16:43 Thursday, September 4, 2003
---------------------------------- school=e
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Normal
Probability Plot
87.5+
++++*
|
* *++*
|
+++
72.5+
*+**
| +**
| ****
57.5+ ****
| ****
| +*+
42.5+ * ***+***
| +++
| +++
27.5+ ++*
| +++
|+++
12.5+ *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1
+2
name, univariate sorted by school 43
16:43 Thursday, September 4, 2003
---------------------------------- school=h
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 34 Sum Weights 34
Mean 105.917718 Sum Observations 3601.2024
Std
Deviation 26.9612124 Variance 726.906974
Skewness -0.4234783 Kurtosis -0.4696925
Uncorrected
SS 405419.069 Corrected SS 23987.9301
Coeff Variation 25.4548654 Std Error Mean 4.62380978
Basic Statistical Measures
Location
Variability
Mean 105.9177 Std Deviation 26.96121
Median 108.5796 Variance 726.90697
Mode . Range 105.41544
Interquartile
Range 30.74487
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 22.90702
Pr > |t| <.0001
Sign M 17
Pr >= |M| <.0001
Signed Rank S 297.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 155.5638
99% 155.5638
95% 143.0393
90% 139.1473
75% Q3 122.4974
50% Median 108.5796
25% Q1 91.7526
10% 60.0644
5% 57.6029
1% 50.1483
0% Min 50.1483
name, univariate sorted by school 44
16:43 Thursday, September 4, 2003
---------------------------------- school=h
----------------------------------
The UNIVARIATE Procedure
Variable:
anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
50.1483 22 136.950 13
57.6029 24 139.147 30
58.5923 32 141.766 15
60.0644 1 143.039 4
67.4426 14 155.564 21
Stem
Leaf # Boxplot
15
6 1 |
14
23 2 |
13
279 3 |
12
122256 6 +-----+
11
25789 5 | |
10
01456 5 *--+--*
9
2356 4 +-----+
8
38 2 |
7
5 1 |
6
07 2 |
5
089 3 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
155+ ++++*
| +*++*
|
+***
|
******
| ****++
105+ ****+
| ****+
| **++
| +++*
| ++++ **
55+ *+++* *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by school 45
16:43 Thursday, September 4, 2003
---------------------------------- school=h
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 34 Sum
Weights 34
Mean 50.1756552 Sum Observations 1705.97228
Std
Deviation 16.273573 Variance 264.829177
Skewness 0.20595609 Kurtosis 0.06751754
Uncorrected
SS 94337.6396 Corrected SS 8739.36285
Coeff
Variation 32.4332047 Std Error Mean 2.79089474
Basic Statistical Measures
Location
Variability
Mean 50.17566 Std Deviation 16.27357
Median 51.34037 Variance 264.82918
Mode . Range 72.00415
Interquartile
Range 19.94703
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 17.97834
Pr > |t| <.0001
Sign M 17
Pr >= |M| <.0001
Signed Rank S 297.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 92.0427
99% 92.0427
95% 74.6080
90% 70.3249
75% Q3 59.3465
50% Median 51.3404
25% Q1 39.3995
10% 27.6541
5% 23.6775
1% 20.0385
0% Min 20.0385
name, univariate sorted by
school 46
16:43 Thursday, September 4, 2003
---------------------------------- school=h
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
20.0385 14 69.0542 23
23.6775 28 70.3249 4
26.7549 1 74.3731 15
27.6541 3 74.6080 2
27.8744 11 92.0427 31
Stem
Leaf # Boxplot
9
2 1 0
8
8
7 5 1 |
7
04 2 |
6
9 1 |
6
004 3 |
5 5667899 7 +-----+
5
0114 4 *--+--*
4
589 3 | |
4
01 2 | |
3
7899 4 +-----+
3
2 1 |
2
788 3 |
2
04 2 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate sorted by school 47
16:43 Thursday, September 4, 2003
---------------------------------- school=h
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Normal
Probability Plot
92.5+
* +
|
+++
| +++
| +++
|
*+*+ *
|
+*+
|
+++*
57.5+
********
| ***+
| **+
| ++*
| *****
| ++*
| +*+**
22.5+ *
+*+
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by school 48
16:43
Thursday, September 4, 2003
---------------------------------- school=m
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 33 Sum Weights 33
Mean 99.9459462 Sum Observations 3298.21623
Std
Deviation 27.4615495 Variance 754.136704
Skewness -0.3028672 Kurtosis 1.78431987
Uncorrected
SS 353775.716 Corrected SS 24132.3745
Coeff
Variation 27.4764016 Std Error Mean 4.78044217
Basic Statistical Measures
Location
Variability
Mean 99.94595 Std Deviation 27.46155
Median 97.75270 Variance 754.13670
Mode . Range 140.52148
Interquartile
Range 29.85544
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 20.90726
Pr > |t| <.0001
Sign M 16.5
Pr >= |M| <.0001
Signed Rank S 280.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 158.0922
99% 158.0922
95% 157.2709
90% 130.8032
75% Q3 117.7142
50% Median 97.7527
25% Q1 87.8588
10% 69.2947
5% 62.3873
1% 17.5707
0% Min 17.5707
name, univariate sorted by school 49
16:43 Thursday, September 4, 2003
---------------------------------- school=m
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest----- -----Highest-----
Value Obs Value Obs
17.5707 32 127.261 9
62.3873 20 130.803 5
68.8424 26 132.371
11
69.2947 8 157.271 33
73.3141 12 158.092 7
Stem
Leaf # Boxplot
15
78 2 |
14 |
13
12 2 |
12
1667 4 |
11
38 2 +-----+
10
123347 6 |
+ |
9
0001278 7 *-----*
8
5889 4 +-----+
7
39 2 |
6
299 3 |
5
4
3
2
1
8 1 0
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate sorted by school 50
16:43 Thursday, September 4, 2003
---------------------------------- school=m
----------------------------------
The UNIVARIATE Procedure
Variable: anx
Normal
Probability Plot
155+ * ++*
|
++++
|
+*+*
|
**+**
| ++*+
| *****
| ****
85+ *****
| **++
| * *+*+
|
++++
| +++
|++++
|
15+ *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by school 51
16:43 Thursday, September 4, 2003
---------------------------------- school=m
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 33 Sum Weights 33
Mean 49.8121191 Sum Observations 1643.79993
Std
Deviation 17.1956419 Variance 295.690099
Skewness -0.2893511 Kurtosis -1.1470241
Uncorrected
SS 91343.241 Corrected SS 9462.08317
Coeff Variation 34.5210005 Std Error Mean 2.99337703
Basic Statistical Measures
Location
Variability
Mean 49.81212 Std Deviation 17.19564
Median 54.64412
Variance 295.69010
Mode . Range 57.05335
Interquartile
Range 27.04463
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 16.64078
Pr > |t| <.0001
Sign M 16.5
Pr >= |M| <.0001
Signed Rank S 280.5
Pr >= |S| <.0001
Quantiles (Definition 5)
Quantile Estimate
100% Max 76.9039
99% 76.9039
95% 75.3949
90% 69.5264
75% Q3 61.8127
50% Median 54.6441
25% Q1 34.7680
10% 24.8565
5% 22.7806
1% 19.8505
0% Min 19.8505
name, univariate sorted by school 52
16:43
Thursday, September 4, 2003
---------------------------------- school=m
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
19.8505 17 66.5682 20
22.7806 18 69.5264 1
23.9409 6 74.7322 32
24.8565 28 75.3949 11
25.2364 15 76.9039 29
Stem Leaf # Boxplot
7
557 3 |
7
0 1 |
6
5667 4 |
6 012 3 +-----+
5
566779 6 *-----*
5
233 3 |
+ |
4
6 1 |
|
4
2 1 | |
3
577 3 +-----+
3
13 2 |
2
556 3 |
2
034 3 |
1
----+----+----+----+
Multiply Stem.Leaf by 10**+1
name, univariate sorted by school 53
16:43 Thursday, September 4, 2003
---------------------------------- school=m
----------------------------------
The UNIVARIATE Procedure
Variable: dep
Normal
Probability Plot
77.5+
++* *
|
++*
| **+***
|
**++
| ****+
| ***+++
47.5+ *+++
| +*+
| ++**
| +++***
| +++**
| *++* *
17.5+ *+++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by school 54
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: anx
Schematic Plots
|
180
+
| 0
|
|
160
+ |
| | |
| | |
| | | |
140 + | | |
| | | |
| | | |
| | | |
120
+ +-----+ +-----+
+-----+
| | |
| | |
|
| | |
*-----* | |
| *--+--* |
+ | |
|
100
+ | |
| | *--+--*
| | |
| | |
|
| +-----+ +-----+
+-----+
| | | |
80
+ | | |
| | | |
| | | |
| | | |
60
+ | | |
| |
| |
|
40
+ 0
|
|
|
20
+ 0
|
|
|
0
+
------------+-----------+-----------+-----------
school e h m
name, univariate sorted by school 55
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: dep
Schematic Plots
|
100
+
|
|
| 0
90
+
| |
| |
| |
80
+ |
| | |
| | | |
| | | |
70 + | | |
| +-----+ | |
| | |
| |
| | |
| +-----+
60
+ | |
+-----+ | |
| *--+--* |
| | |
| | |
| | *-----*
| | |
*-----* | |
50
+ | | |
+ | |
+ |
| | |
| | |
|
| +-----+ |
| | |
| | |
| | |
40
+ | +-----+ |
|
| | | |
|
| | | +-----+
| | | |
30
+ | | |
| | | |
| | | |
| | | |
20
+ | | |
| |
| |
|
10
+
------------+-----------+-----------+-----------
school e h m
name, means sorted by school 56
16:43 Thursday, September 4, 2003
---------------------------------- school=e
----------------------------------
The MEANS Procedure
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 33
106.2412438 25.5575018 41.1106728 175.0405889
dep 33
57.3571321 16.3105560 13.8841473 88.5693056
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
---------------------------------- school=h
----------------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 34
105.9177176 26.9612124 50.1483217 155.5637598
dep 34
50.1756552 16.2735730 20.0385160 92.0426659
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
---------------------------------- school=m
----------------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 33
99.9459462 27.4615495 17.5706762 158.0921551
dep 33
49.8121191 17.1956419 19.8505235 76.9038765
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
name, examining chart by school 57
16:43 Thursday, September 4, 2003
---------------------------------- school=e
----------------------------------
Frequency
11 ˆ *****
‚ *****
10 ˆ *****
‚ *****
9 ˆ ***** *****
‚ ***** *****
8 ˆ ***** *****
‚ ***** *****
7 ˆ ***** *****
‚ ***** *****
6 ˆ ***** *****
*****
‚ ***** *****
*****
5 ˆ ***** *****
*****
‚ ***** *****
*****
4 ˆ *****
***** *****
‚ ***** *****
*****
3 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
2 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
1 ˆ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
50 70 90
110 130 150
170
anx Midpoint
name, examining chart by school 58
16:43 Thursday, September 4,
2003
---------------------------------- school=e
----------------------------------
Frequency
9 ˆ *****
‚ *****
‚ *****
‚ *****
8 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
7 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
6 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
5 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
4 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
3 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
2 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
1 ˆ ***** *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
18 30 42 54 66 78 90
dep Midpoint
name, examining chart by school 59
16:43 Thursday, September 4, 2003
---------------------------------- school=h
----------------------------------
Frequency
11 ˆ *****
‚ *****
10 ˆ *****
‚ *****
9 ˆ ***** *****
‚ ***** *****
8 ˆ ***** *****
‚ ***** *****
7 ˆ ***** *****
‚ ***** *****
6 ˆ ***** *****
‚ ***** *****
5 ˆ ***** ***** *****
*****
‚ ***** ***** *****
*****
4 ˆ ***** ***** *****
*****
‚ ***** ***** *****
*****
3 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
2 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
1 ˆ ***** *****
***** ***** *****
*****
‚ ***** *****
***** ***** *****
*****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
40 60 80
100 120 140
160
anx Midpoint
name, examining chart by school 60
16:43 Thursday, September 4, 2003
---------------------------------- school=h
----------------------------------
Frequency
15 ˆ *****
‚ *****
14 ˆ *****
‚ *****
13 ˆ *****
‚ *****
12 ˆ *****
‚ *****
11 ˆ *****
‚ *****
10 ˆ *****
‚ *****
9 ˆ *****
‚ *****
8 ˆ *****
‚ *****
7 ˆ ***** *****
‚ ***** *****
6 ˆ *****
*****
‚ ***** *****
5 ˆ ***** *****
‚ ***** *****
4 ˆ ***** *****
*****
‚ ***** *****
*****
3 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
2 ˆ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
1 ˆ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
18 30 42
54 66 78
90
dep Midpoint
name, examining chart by school 61
16:43 Thursday, September 4, 2003
---------------------------------- school=m
----------------------------------
Frequency
12 ˆ *****
‚ *****
11 ˆ *****
‚ *****
10 ˆ *****
‚ *****
9 ˆ ***** *****
‚ ***** *****
8 ˆ ***** *****
‚ ***** *****
7 ˆ ***** *****
‚ ***** *****
6 ˆ ***** *****
‚ ***** *****
5 ˆ ***** *****
*****
‚ ***** *****
*****
4 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
3 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
2 ˆ ***** *****
***** ***** *****
‚ ***** *****
***** ***** *****
1 ˆ ***** ***** *****
***** ***** *****
‚ ***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
12.5 37.5 62.5
87.5 112.5 137.5
162.5
anx Midpoint
name, examining chart by school 62
16:43 Thursday, September 4, 2003
---------------------------------- school=m
----------------------------------
Frequency
8 ˆ
*****
‚
*****
‚
*****
‚
*****
‚
*****
7 ˆ
*****
‚
*****
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*****
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6 ˆ
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3 ˆ ***** *****
***** ***** *****
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2 ˆ ***** *****
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Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
20 30 40 50
60 70 80
dep Midpoint
name, univariate sorted by region and school 63
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=e
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 11 Sum Weights 11
Mean 106.007207 Sum Observations 1166.07928
Std
Deviation 27.0261372 Variance 730.412093
Skewness 1.7226551 Kurtosis 4.23330818
Uncorrected
SS 130916.929 Corrected SS 7304.12093
Coeff
Variation 25.4946224 Std Error Mean 8.14868697
Basic Statistical Measures
Location
Variability
Mean 106.0072 Std Deviation 27.02614
Median 99.5458 Variance 730.41209
Mode . Range 103.18132
Interquartile
Range 26.94259
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 13.00912
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 175.0406
99% 175.0406
95% 175.0406
90% 120.6007
75% Q3 119.0015
50% Median 99.5458
25% Q1 92.0589
10% 84.4086
5% 71.8593
1% 71.8593
0% Min 71.8593
name, univariate sorted by region
and school 64
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=e
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
71.8593 2 103.425 5
84.4086 10 110.361 3
92.0589 8 119.002 1
92.1554 4 120.601 6
97.6221 11 175.041 7
Stem
Leaf # Boxplot
16
5 1 0
14
12
1 1 |
10
0309 4 +--+--+
8
4228 4 +-----+
6
2 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
170+ * ++++++
|
+++++++
|
+++++*+
| ++++*++* *
| * ++*+*++* *
70+ +*++++++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 65
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=e
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 11 Sum Weights 11
Mean 50.5227574 Sum Observations 555.750331
Std
Deviation 9.41414001 Variance 88.6260321
Skewness 1.05392013 Kurtosis 0.14948582
Uncorrected SS 28964.2995 Corrected SS 886.260321
Coeff
Variation 18.6334644 Std Error Mean 2.83847001
Basic Statistical Measures
Location
Variability
Mean 50.52276 Std Deviation 9.41414
Median 45.95780 Variance 88.62603
Mode . Range 28.97012
Interquartile
Range 16.89184
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 17.79929
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 70.1284
99% 70.1284
95% 70.1284
90% 60.6654
75% Q3 60.1689
50% Median 45.9578
25% Q1 43.2770
10% 42.6881
5% 41.1582
1% 41.1582
0% Min 41.1582
name, univariate sorted by region and school 66
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=e
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value
Obs
41.1582 1 50.9755 10
42.6881 3 52.3150 2
43.2770 4 60.1689 5
43.7758 7 60.6654 6
44.6401 11 70.1284 8
Stem
Leaf # Boxplot
7
0 1 |
6 |
6
01 2 +-----+
5
| |
5
12 2 |
+ |
4
56 2 *-----*
4
1334 4 +-----+
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
72.5+ * +++++
|
+++++
|
* *++++
57.5+
++++++
| ++*++*
| +++++*
42.5+ * *+++*+*
*
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0
+1 +2
name, univariate sorted by region and school 67
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=h
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 12 Sum Weights 12
Mean 104.049326 Sum Observations 1248.59191
Std
Deviation 24.6757498 Variance 608.892627
Skewness -0.2399503 Kurtosis -0.7067472
Uncorrected
SS 136612.966 Corrected SS 6697.8189
Coeff
Variation 23.7154345 Std Error Mean 7.12327539
Basic Statistical Measures
Location
Variability
Mean 104.0493 Std Deviation 24.67575
Median 109.7659 Variance 608.89263
Mode . Range 82.97491
Interquartile
Range 33.62479
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 14.60695
Pr > |t| <.0001
Sign M 6
Pr >= |M| 0.0005
Signed Rank S 39
Pr >= |S| 0.0005
Quantiles (Definition 5)
Quantile Estimate
100% Max 143.0393
99% 143.0393
95% 143.0393
90% 131.8472
75% Q3 119.4389
50% Median 109.7659
25% Q1 85.8141
10% 74.6997
5% 60.0644
1% 60.0644
0% Min 60.0644
name, univariate sorted by region and school 68
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=h
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
60.0644 1 117.151 3
74.6997 8 117.929 5
83.3323 7 120.949 2
88.2959 9 131.847 10
91.7526 11 143.039 4
Stem
Leaf # Boxplot
14
3 1 |
13
2 1 |
12
1 1 |
11
578 3 +-----+
10
4 1 |
+ |
9
2 1 | |
8
38 2 +-----+
7
5 1 |
6
0 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
145+ +*++
|
*+++
|
+*++
| * *+*+
105+ *+++
| ++*+
| +*++*
| ++*+
65+ +*++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 69
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=h
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 12 Sum Weights 12
Mean 50.2254993 Sum Observations 602.705991
Std
Deviation 16.8854857 Variance 285.119626
Skewness -0.2439415 Kurtosis -1.310399
Uncorrected
SS 33407.5252 Corrected SS 3136.31589
Coeff
Variation 33.6193486 Std Error Mean 4.87441985
Basic Statistical Measures
Location Variability
Mean 50.22550 Std Deviation 16.88549
Median 54.92803 Variance 285.11963
Mode . Range 47.85311
Interquartile Range 29.02875
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 10.30389
Pr > |t| <.0001
Sign M 6
Pr >= |M| 0.0005
Signed Rank S 39
Pr >= |S| 0.0005
Quantiles (Definition 5)
Quantile Estimate
100% Max 74.6080
99% 74.6080
95% 74.6080
90% 70.3249
75% Q3 61.8035
50% Median 54.9280
25% Q1 32.7747
10% 27.6541
5% 26.7549
1% 26.7549
0% Min 26.7549
name, univariate sorted by region and school 70
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=h -----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
26.7549 1 58.8937 10
27.6541 3 59.6480 7
27.8744 11 63.9590 6
37.6750
12 70.3249 4
45.4581 8 74.6080 2
Stem
Leaf # Boxplot
7
05 2 |
6 04 2 +-----+
5
469 3 *--+--*
4
5 1 | |
3
8 1 +-----+
2
788 3 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
75+ *++++*+
|
++*+++
| *+*+*+*
| +++*++
| +++++ *
25+ +*++++* *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 71
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=m
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 11 Sum Weights 11
Mean 111.228167 Sum Observations 1223.50984
Std
Deviation 25.6010541 Variance 655.413973
Skewness 0.21871768 Kurtosis -0.4025415
Uncorrected
SS 142642.896 Corrected SS 6554.13973
Coeff
Variation 23.0167006 Std Error Mean 7.71900825
Basic Statistical Measures
Location
Variability
Mean 111.2282 Std Deviation 25.60105
Median 103.8448 Variance 655.41397
Mode . Range 88.79749
Interquartile
Range 39.86895
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 14.40964
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 158.0922
99% 158.0922
95% 158.0922
90% 132.3707
75% Q3 130.8032
50% Median 103.8448
25% Q1 90.9342
10% 90.1391
5% 69.2947
1% 69.2947
0% Min 69.2947
name, univariate sorted by region and school 72
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=m
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest----- -----Highest-----
Value Obs Value Obs
69.2947 8 125.990 10
90.1391 1 127.261 9
90.9342 4 130.803 5
97.0277 6 132.371 11
97.7527 2 158.092 7
Stem
Leaf # Boxplot
15
8 1 |
14 |
13
12 2 +-----+
12
67 2 | |
11 | + |
10
4 1 *-----*
9
0178 4 +-----+
8 |
7 |
6
9 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
155+ *+++
|
++++
|
*+++*
125+ *
+*++
| ++++
| ++++*
95+ * +*+* *
| ++++
| ++++
65+ ++++*
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 73
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=m
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 11 Sum Weights 11
Mean 52.3848222 Sum Observations 576.233045
Std
Deviation 17.287404 Variance 298.854337
Skewness -0.6628869 Kurtosis -0.7323268
Uncorrected
SS 33174.409 Corrected SS 2988.54337
Coeff
Variation 33.0007878 Std Error Mean 5.21234843
Basic Statistical Measures
Location Variability
Mean 52.38482 Std Deviation 17.28740
Median 56.22667 Variance 298.85434
Mode . Range 51.45396
Interquartile
Range 32.06429
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 10.05014
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 75.3949
99% 75.3949
95% 75.3949
90% 69.5264
75% Q3 65.2166
50% Median 56.2267
25% Q1 33.1523
10% 26.0715
5% 23.9409
1% 23.9409
0% Min 23.9409
name, univariate sorted by region and school 74
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=m
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
23.9409 6 56.7826 10
26.0715 7 61.8127 2
33.1523 4 65.2166 8
53.4644 9 69.5264 1
54.6441 3 75.3949 11
Stem
Leaf # Boxplot
7
05 2 |
6
25 2 +-----+
5
3567 4 *--+--*
4
| |
3
3 1 +-----+
2
46 2 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
75+
+++++*
|
*+*+++*
| * *+*+*++
| ++++++
| +++++*
25+ ++*+++ *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 75
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=e
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 11 Sum Weights 11
Mean 103.331293 Sum Observations 1136.64422
Std
Deviation 30.815661 Variance 949.604965
Skewness -1.0830506 Kurtosis 0.13285853
Uncorrected
SS 126946.967 Corrected SS 9496.04965
Coeff
Variation 29.8221963 Std Error Mean 9.29127139
Basic Statistical Measures
Location Variability
Mean 103.3313 Std Deviation 30.81566
Median 116.8064 Variance 949.60497
Mode . Range 99.78567
Interquartile
Range 49.33116
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 11.12133
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 140.8963
99% 140.8963
95% 140.8963
90% 122.2292
75% Q3 121.6752
50% Median 116.8064
25% Q1 72.3441
10% 62.4583
5% 41.1107
1% 41.1107
0% Min 41.1107
name, univariate sorted by region and school 76
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=e
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest------
-----Highest-----
Value
Obs Value Obs
41.1107 1 118.232 5
62.4583 6 121.475 2
72.3441 9 121.675 3
103.5876 4 122.229 11
115.8291 10 140.896 7
Stem
Leaf # Boxplot
14
1 1 |
12
122 3 +-----+
10
4678 4 *--+--*
8
| |
6
22 2 +-----+
4 1 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
150+ ++++*++
|
*+*+++*
| * *+*+*+++
| ++++++
| +++*+++*
50+ ++++*+
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 77
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=e
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 11 Sum Weights 11
Mean 57.0959314 Sum Observations 628.055245
Std
Deviation 21.5846545 Variance 465.89731
Skewness -0.7654562 Kurtosis 0.27057903
Uncorrected
SS 40518.3723 Corrected SS 4658.9731
Coeff
Variation 37.8041902 Std Error Mean 6.5080182
Basic Statistical Measures
Location Variability
Mean 57.09593 Std Deviation 21.58465
Median 63.12585 Variance 465.89731
Mode . Range 70.88629
Interquartile
Range 26.22220
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 8.773167
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 84.7704
99% 84.7704
95% 84.7704
90% 83.9336
75% Q3 66.8004
50% Median 63.1259
25% Q1 40.5782
10% 29.6637
5% 13.8841
1% 13.8841
0% Min 13.8841
name, univariate sorted by region and school 78
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=e -----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
13.8841 1 63.8040 8
29.6637 9 66.6998 11
40.5782 3 66.8004 2
54.9218 6 83.9336 10
59.8734 4 84.7704 5
Stem
Leaf # Boxplot
8
45 2 |
7 |
6
03477 5 +-----+
5
5 1 |
+ |
4
1 1 +-----+
3
0 1 |
2 |
1
4 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
85+
*++++*
|
+++++
| * *++* *
| * +*+++
| *+++
| +++++
| +++++ *
15+ ++++ *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 79
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=h
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 11
Sum Weights 11
Mean 108.878865 Sum Observations 1197.66751
Std
Deviation 32.1225955 Variance 1031.86114
Skewness -0.4115299 Kurtosis -0.4372201
Uncorrected
SS 140719.29 Corrected SS 10318.6114
Coeff
Variation 29.5030588 Std Error Mean 9.68532695
Basic Statistical Measures
Location
Variability
Mean 108.8789 Std Deviation 32.12260
Median 105.3583 Variance 1032
Mode . Range 105.41544
Interquartile
Range 44.10236
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 11.24163
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 155.5638
99% 155.5638
95% 155.5638
90% 141.7663
75% Q3 136.9499
50% Median 105.3583
25% Q1 92.8476
10% 67.4426
5% 50.1483
1% 50.1483
0% Min 50.1483
name, univariate sorted by region and school 80
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=h
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest------
-----Highest-----
Value Obs Value
Obs
50.1483 10 125.464 7
67.4426 2 126.350 8
92.8476 11 136.950 1
95.4336 5 141.766 3
100.3433 4 155.564 9
Stem
Leaf # Boxplot
14
26 2 |
12
567 3
+-----+
10
05 2 *--+--*
8
35 2 +-----+
6
7 1 |
4
0 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
150+
+*++++*
| * +*+*++
| *+*+++
| +*+*++
| ++++*++
50+ +++++*
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 81
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=h
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 11
Sum Weights 11
Mean 51.8962282 Sum Observations 570.858511
Std
Deviation 14.8307821 Variance 219.952096
Skewness -0.6840011 Kurtosis 1.19161852
Uncorrected
SS 31824.9245 Corrected SS 2199.52096
Coeff
Variation 28.5777648 Std Error Mean 4.47164904
Basic Statistical Measures
Location Variability
Mean 51.89623 Std Deviation 14.83078
Median 51.47055 Variance 219.95210
Mode . Range 54.33455
Interquartile
Range 18.32296
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 11.60561
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 74.3731
99% 74.3731
95% 74.3731
90% 69.0542
75% Q3 59.7271
50% Median 51.4706
25% Q1 41.4041
10% 39.3995
5% 20.0385
1% 20.0385
0% Min 20.0385
name, univariate sorted by region and school 82
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=h
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value
Obs
20.0385 2 55.7964 9
39.3995 10 58.1307 6
41.4041 4 59.7271 7
50.2542 8 69.0542 11
51.2102 1 74.3731 3
Stem
Leaf # Boxplot
7
4 1 |
6
09 2
+-----+
5
01168 5 *--+--*
4
1 1 +-----+
3
9 1 |
2
0 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
75+
+++*++
| +++++*+
| * *+*+*++* *
| +*+++++
| +++*++
25+ +++++*+
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 83
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=m
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 11 Sum Weights 11
Mean 94.2118388 Sum Observations 1036.33023
Std
Deviation 19.766532 Variance 390.715786
Skewness 0.22110092 Kurtosis -0.6148309
Uncorrected
SS 101541.734 Corrected SS 3907.15786
Coeff
Variation 20.9809428 Std Error Mean 5.95983363
Basic Statistical Measures
Location Variability
Mean 94.21184 Std Deviation 19.76653
Median 89.91751 Variance 390.71579
Mode . Range 63.65826
Interquartile Range 33.73606
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 15.8078
Pr > |t| <.0001
Sign M
5.5 Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 126.0455
99% 126.0455
95% 126.0455
90% 121.2412
75% Q3 113.0466
50% Median 89.9175
25% Q1 79.3106
10% 73.3141
5% 62.3873
1% 62.3873
0% Min 62.3873
name, univariate sorted by region and school 84
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=m
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest-----
------Highest-----
Value Obs
Value Obs
62.3873 9 91.9845 3
73.3141 1 101.4936 10
79.3106 5 113.0466 6
87.8588 11 121.2412 4
89.7305 7 126.0455 8
Stem
Leaf # Boxplot
12
16 2 |
11
3 1 +-----+
10
1 1 | |
9
002 3 *--+--*
8
8 1 | |
7 39 2 +-----+
6
2 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal Probability
Plot
125+
* ++*++
|
*++++++
| ++*++
95+ ++++*
| ++*++* *
| +*+++*
65+ +*+++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name,
univariate sorted by region and school 85
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=m
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 11 Sum Weights 11
Mean 45.7309037 Sum Observations 503.039941
Std
Deviation 18.5640867 Variance 344.625315
Skewness -0.1753756 Kurtosis -1.8255074
Uncorrected
SS 26450.7242 Corrected SS 3446.25315
Coeff
Variation 40.5941829 Std Error Mean 5.59728274
Basic Statistical Measures
Location
Variability
Mean 45.73090 Std Deviation 18.56409
Median 45.75634 Variance 344.62532
Mode . Range 46.71765
Interquartile
Range 40.33770
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 8.170197
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 66.5682
99% 66.5682
95% 66.5682
90% 66.1563
75% Q3 65.5741
50% Median 45.7563
25% Q1 25.2364
10% 22.7806
5% 19.8505
1% 19.8505
0% Min 19.8505
name, univariate sorted by region and school 86
16:43 Thursday,
September 4, 2003
----------------------------- region=mt school=m
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
19.8505 6 58.9348 1
22.7806 7 60.3764 11
25.2364 4 65.5741 2
34.7680 8 66.1563 3
37.0383 5 66.5682 9
Stem
Leaf # Boxplot
6
0667 4 +-----+
5
9 1 | |
4
6 1 *--+--*
3 57 2 | |
2
035 3 +-----+
1
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal Probability Plot
65+ *
*+++*++ *
| *+++++
| +++*++
| +++*+ *
| ++*++ *
15+ +++*++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 87
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=e
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 11 Sum Weights 11
Mean 109.385231 Sum Observations 1203.23754
Std
Deviation 19.7466416 Variance 389.929856
Skewness 0.52140613 Kurtosis -0.5403797
Uncorrected
SS 135515.715 Corrected SS 3899.29856
Coeff
Variation 18.0523837 Std Error Mean 5.95383647
Basic Statistical Measures
Location
Variability
Mean 109.3852 Std Deviation 19.74664
Median 106.2819 Variance 389.92986
Mode . Range 63.36026
Interquartile
Range 36.60585
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 18.37223
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 145.7785
99% 145.7785
95% 145.7785
90% 133.4956
75% Q3 126.8317
50% Median 106.2819
25% Q1 90.2258
10% 89.9818
5% 82.4182
1% 82.4182
0% Min 82.4182
name, univariate sorted by region and school 88
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=e
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme Observations
------Lowest------
-----Highest-----
Value Obs Value Obs
82.4182 11 107.432 8
89.9818 5 117.697 2
90.2258 7 126.832 10
99.0024 4 133.496 3
104.0927 6 145.779 1
Stem
Leaf # Boxplot
14
6 1 |
13
3 1 |
12
7 1 +-----+
11
8 1 |
|
10
467 3 *--+--*
9
009 3 +-----+
8
2 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
145+ *++++
|
*++++
| +*+++
115+
++++*
| ++*+* *
| ++*+*
85+ * +++*+
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 89
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=e
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 11 Sum Weights 11
Mean 64.4527074 Sum Observations 708.979782
Std
Deviation 13.7822247 Variance 189.949717
Skewness 0.45547387 Kurtosis -0.8243511
Uncorrected
SS 47595.1636 Corrected SS 1899.49717
Coeff
Variation 21.3834689 Std Error Mean 4.15549709
Basic Statistical Measures
Location Variability
Mean 64.45271 Std Deviation 13.78222
Median 59.83497 Variance 189.94972
Mode . Range 44.06396
Interquartile Range 20.90796
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 15.51023
Pr > |t| <.0001
Sign M
5.5 Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 88.5693
99% 88.5693
95% 88.5693
90% 82.2499
75% Q3 74.7233
50% Median 59.8350
25% Q1 53.8154
10% 52.7095
5% 44.5053
1% 44.5053
0% Min 44.5053
name, univariate sorted by region and school 90
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=e
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs
Value Obs
44.5053 4 65.5721 3
52.7095 11 74.1691 8
53.8154 7 74.7233 1
55.9017 2 82.2499 9
56.9291 10 88.5693 5
Stem
Leaf # Boxplot
8
9 1 |
8
2 1 |
7
5 1 +-----+
7
4 1 | |
6
6 1 | |
6
0 1 *--+--*
5
67 2 | |
5
34 2 +-----+
4
5 1 |
4
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
87.5+ +*++
| *+++
|
++++
72.5+
*+*
| +*++
| ++++
57.5+ +*+ * *
| *+++*
| ++++
42.5+ +*+
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0
+1 +2
name, univariate sorted by region and school 91
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=h
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 11 Sum Weights 11
Mean 104.994816 Sum Observations 1154.94297
Std
Deviation 26.1223806 Variance 682.378766
Skewness -1.0185305 Kurtosis 0.30802374
Uncorrected
SS 128086.812 Corrected SS 6823.78766
Coeff
Variation 24.8796861 Std Error Mean 7.87619409
Basic Statistical Measures
Location
Variability
Mean 104.9948 Std Deviation 26.12238
Median 111.6188 Variance 682.37877
Mode . Range 81.54439
Interquartile
Range 26.80503
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 13.33065
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 139.1473
99% 139.1473
95% 139.1473
90% 122.4974
75% Q3 122.4601
50% Median 111.6188
25% Q1 95.6551
10% 58.5923
5% 57.6029
1% 57.6029
0% Min 57.6029
name, univariate sorted by region and school 92
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=h
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest------
-----Highest-----
Value Obs Value Obs
57.6029 1 119.165 8
58.5923 9 122.155 2
95.6551 10 122.460 3
100.5078 5 122.497 4
105.5405 11 139.147 7
Stem
Leaf # Boxplot
13
9 1 |
12
222 3 +-----+
11
29 2
*-----*
10
16 2 |
+ |
9
6 1 +-----+
8 |
7 |
6 |
5
89 2 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
135+
++++ *
|
*+*++ *
| * *+++
| *
*+++
95+ * ++++
| ++++
| ++++
| ++++
55+ ++++ * *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 93
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=h
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 11
Sum Weights 11
Mean 48.4007068 Sum Observations 532.407775
Std
Deviation 18.265479 Variance 333.627724
Skewness 1.25429574 Kurtosis 2.64396623
Uncorrected
SS 29105.1898 Corrected SS 3336.27724
Coeff
Variation 37.7380419 Std Error Mean 5.50724914
Basic Statistical Measures
Location Variability
Mean 48.40071 Std Deviation 18.26548
Median 48.19354 Variance 333.62772
Mode . Range 68.36517
Interquartile
Range 20.35703
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 8.788545
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 92.0427
99% 92.0427
95% 92.0427
90% 59.3465
75% Q3 57.0417
50% Median 48.1935
25% Q1 36.6846
10% 31.5548
5% 23.6775
1% 23.6775
0% Min 23.6775
name, univariate sorted by region and school 94
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=h
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value
Obs
23.6775 5 49.3727 11
31.5548 3 55.3403 10
36.6846 6 57.0417 1
39.4744 7 59.3465 4
39.6790 9 92.0427 8
Stem
Leaf # Boxplot
9
2 1 0
8
7
6
5
579 3 +-----+
4
089 3 *--+--*
3
279 3 +-----+
2
4 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
95+ * +++
|
+++++
|
++++++
|
+++++
|
++++*+* *
| ++++* *
| *+++*+* *
25+ *+++++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 95
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=m
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Moments
N 11 Sum Weights 11
Mean 94.397833 Sum Observations 1038.37616
Std
Deviation 34.0156234 Variance 1157.06264
Skewness -0.6410435 Kurtosis 2.8497871
Uncorrected
SS 109591.086 Corrected SS 11570.6264
Coeff Variation 36.0343266 Std Error Mean 10.2560964
Basic Statistical Measures
Location
Variability
Mean 94.3978 Std Deviation 34.01562
Median 101.5932
Variance 1157
Mode . Range 139.70021
Interquartile
Range 22.22163
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 9.20407
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 157.2709
99% 157.2709
95% 157.2709
90% 117.7142
75% Q3 107.2641
50% Median 101.5932
25% Q1 85.0425
10% 68.8424
5% 17.5707
1% 17.5707
0% Min 17.5707
name, univariate sorted by region and school 96
16:43
Thursday, September 4, 2003
----------------------------- region=pd school=m
-----------------------------
The UNIVARIATE Procedure
Variable: anx
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
17.5707 10 102.895 1
68.8424 4 102.949 8
85.0425 2 107.264 3
87.7640 6 117.714 9
89.4698 5 157.271 11
Stem Leaf # Boxplot
14
7 1 0
12
10
23378 5 +-----+
8
589 3
+--+--+
6
9 1 |
4
2
0
8 1 *
----+----+----+----+
Multiply
Stem.Leaf by 10**+1
Normal
Probability Plot
150+ ++*+++
|
++++++
| * *++*+*
*
| * *++*+++
| *++++++
| +++++
| ++++++
10+++++ *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 97
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=m
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Moments
N 11 Sum Weights 11
Mean 51.3206313 Sum Observations 564.526944
Std
Deviation 16.5717489 Variance 274.622863
Skewness 0.00531476 Kurtosis -0.6570284
Uncorrected SS 31718.1078 Corrected SS 2746.22863
Coeff
Variation 32.2906179 Std Error Mean 4.9965703
Basic Statistical Measures
Location
Variability
Mean 51.32063 Std Deviation 16.57175
Median 53.11879 Variance 274.62286
Mode . Range 52.04740
Interquartile
Range 23.95624
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 10.27117
Pr > |t| <.0001
Sign M 5.5
Pr >= |M| 0.0010
Signed Rank S 33
Pr >= |S| 0.0010
Quantiles (Definition 5)
Quantile Estimate
100% Max 76.9039
99% 76.9039
95% 76.9039
90% 74.7322
75% Q3 60.8674
50% Median 53.1188
25% Q1 36.9111
10% 31.1926
5% 24.8565
1% 24.8565
0% Min 24.8565
name, univariate sorted by region and school 98
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=m
-----------------------------
The UNIVARIATE Procedure
Variable: dep
Extreme
Observations
------Lowest-----
-----Highest-----
Value Obs Value Obs
24.8565 6 55.5819 1
31.1926 2 56.8348 4
36.9111 8 60.8674 5
41.9661 9 74.7322 10
51.5617 3 76.9039 7
Stem
Leaf # Boxplot
7
57 2 |
6
1 1 +-----+
5
2367 4 *--+--*
4
2 1 | |
3
17 2 +-----+
2
5 1 |
----+----+----+----+
Multiply Stem.Leaf by 10**+1
Normal
Probability Plot
75+
*++++*+
| +*++++
| * *+*++*
| +*++++
| +*+++*
25+ ++*+++
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
name, univariate sorted by region and school 99
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: anx
Schematic Plots
|
180 +
| 0
|
|
160 + |
| |
| |
| | |
140 + | |
|
| | | |
| | +-----+ |
| | |
| |
120 + +-----+ +-----+
| |
+-----+
| |
| | |
| | *-----*
| |
| *-----* |
+ | |
|
| |
+ | |
+ | *-----*
| + |
100 + *-----* |
| | |
| |
| |
| | |
| | |
|
| +-----+ |
| +-----+ |
|
| | +-----+ |
| |
80 + | | | |
|
| | | | |
|
| | | | +-----+
| | |
60 + | |
|
|
|
|
| |
40 +
|
|
|
|
20 +
|
|
|
0 +
------------+-----------+-----------+-----------+-----------
school e h m e
region ct ct ct mt
name, univariate sorted by region and school 100
16:43
Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: anx
Schematic Plots
|
180 +
|
|
|
160 +
| |
| |
| | |
140 + | | |
| +-----+ | |
| |
| | |
| |
| | +-----+ |
120 + |
| | |
| +-----+
| |
| +-----+ |
| | |
| |
+ | |
| | +
| *-----*
| *-----* |
| *-----* |
+ |
100 + |
| | |
| | |
|
| +-----+ |
+ | |
| +-----+
| | *-----* +-----+ |
| | |
| | |
80 + | +-----+ | |
| | | |
| | | |
| | | |
60 + | | |
| |
| |
|
40 +
|
|
|
20 +
|
|
|
0 +
------------+-----------+-----------+-----------+-----------
school h m e h
region mt mt pd pd
name, univariate sorted by region and school 101
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: anx
Schematic Plots
|
180 +
|
|
|
160 +
| 0
|
|
140 +
|
|
|
120 + |
| |
| |
| +-----+
100 + *-----*
| |
+ |
| |
|
| +-----+
80 + |
| |
| |
|
60 +
|
|
|
40 +
|
|
|
20 + *
|
|
|
0 +
------------+-----------
school m
region pd
name, univariate sorted by region and school 102
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: dep
Schematic Plots
|
100 +
|
|
|
90 +
|
|
|
|
|
80 +
|
| |
| | | |
| | | |
70 + | | | |
| |
| | +-----+
| | | +-----+ |
|
| | +-----+ |
| *-----*
60 + +-----+ |
| | |
| |
| |
| | |
| | |
+ |
| |
| *-----* *-----*
| |
| |
| | |
| + |
| |
50 + |
+ | |
+ | |
| | |
| |
| | |
| | |
|
| *-----* |
| | |
| |
| +-----+ |
| | |
| |
40 + | |
| | |
+-----+
| | |
| | |
| | |
| | |
| +-----+ +-----+ |
30 + | | |
| | | |
| | |
|
|
20 + |
|
|
|
|
|
10 +
------------+-----------+-----------+-----------+-----------
school e h m e
region ct ct ct mt
name, univariate sorted by region and school 103
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: dep
Schematic Plots
|
100 +
|
|
|
0
90 +
| |
| |
| |
80 + |
| |
| | +-----+
| | | |
70 + | |
|
| | | |
|
| | +-----+ | + |
| | |
| | |
60 + +-----+ |
| *-----* |
|
| | |
| | |
+-----+
| |
| | |
+-----+ | |
| *--+--* |
| | |
|
50 + |
| | |
| | |
| |
| | |
| *--+--*
| |
| *--+--* |
| |
| +-----+ |
| | |
40 + | |
| | |
| | |
| +-----+
| | |
| |
| | |
| |
30 + | |
| |
| | |
| |
| | +-----+ |
| | | |
20 + | |
|
|
|
10 +
------------+-----------+-----------+-----------+-----------
school h m e h
region mt mt
pd pd
name, univariate sorted by region and school 104
16:43 Thursday, September 4, 2003
The UNIVARIATE Procedure
Variable: dep
Schematic Plots
|
100 +
|
|
|
90 +
|
|
|
80 +
| |
| |
| |
70 + |
| |
| |
| |
60 + +-----+
| |
|
| |
|
| *--+--*
50 + |
|
| |
|
| |
|
| |
|
40 + |
|
| +-----+
| |
| |
30 + |
| |
| |
|
20 +
|
|
|
10 +
------------+-----------
school m
region pd
name, means sorted by region and school 105
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=e
-----------------------------
The MEANS
Procedure
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 11
106.0072073 27.0261372 71.8592676 175.0405889
dep 11
50.5227574 9.4141400 41.1582449 70.1283683
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
----------------------------- region=ct school=h
-----------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 12
104.0493262 24.6757498 60.0644287 143.0393357
dep 12
50.2254993 16.8854857 26.7548843 74.6079935
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
----------------------------- region=ct school=m
-----------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 11
111.2281669 25.6010541 69.2946631 158.0921551
dep 11
52.3848222 17.2874040 23.9409304 75.3948883
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
----------------------------- region=mt school=e
-----------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 11
103.3312931 30.8156610 41.1106728 140.8963388
dep 11
57.0959314 21.5846545 13.8841473 84.7704372
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
----------------------------- region=mt school=h
-----------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 11
108.8788645 32.1225955 50.1483217 155.5637598
dep 11
51.8962282 14.8307821
20.0385160 74.3730710
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
name, means sorted by region and school 106
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=m
-----------------------------
The MEANS
Procedure
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 11
94.2118388 19.7665320 62.3872782 126.0455408
dep 11
45.7309037 18.5640867 19.8505235 66.5681740
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
----------------------------- region=pd school=e
-----------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 11
109.3852309 19.7466416 82.4182453 145.7785063
dep 11
64.4527074 13.7822247 44.5053446 88.5693056
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
----------------------------- region=pd school=h
-----------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 11
104.9948157 26.1223806 57.6028813 139.1472668
dep 11
48.4007068 18.2654790 23.6774953 92.0426659
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
----------------------------- region=pd school=m
-----------------------------
Variable N
Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
anx 11
94.3978330 34.0156234 17.5706762 157.2708814
dep 11
51.3206313 16.5717489 24.8564733 76.9038765
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
name, examining chart by region and school 107
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=e
-----------------------------
Frequency
5 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
4 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
3 ˆ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
2 ˆ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
1 ˆ
***** ***** ***** *****
‚ ***** *****
*****
*****
‚ ***** *****
*****
*****
‚ ***** *****
***** *****
‚ ***** *****
*****
*****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
60 80
100 120 140
160 180
anx Midpoint
name, examining chart by region and school 108
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=e
-----------------------------
Frequency
5 ˆ
*****
‚ *****
‚ *****
‚ *****
‚ *****
4 ˆ
*****
‚ *****
‚ *****
‚ *****
‚ *****
3 ˆ
*****
‚ *****
‚ *****
‚ *****
‚ *****
2 ˆ
***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
1 ˆ ***** *****
***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
40 45 50 55 60 65 70
dep Midpoint
name,
examining chart by region and school 109
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=h
-----------------------------
Frequency
3 ˆ *****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
‚ *****
2 ˆ
***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** *****
***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** *****
***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
1 ˆ ***** *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
66 78 90
102 114
126 138
anx Midpoint
name, examining chart by region and school 110
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=h
-----------------------------
Frequency
3 ˆ ***** *****
‚ ***** *****
‚ ***** *****
‚
*****
*****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
2 ˆ ***** ***** *****
‚ ***** ***** *****
‚ *****
***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
1 ˆ ***** *****
***** ***** *****
***** *****
‚ *****
***** *****
***** ***** *****
*****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** *****
*****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
28 36
44 52 60 68 76
dep Midpoint
name, examining chart by region and school 111
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=m
-----------------------------
Frequency
5 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
4 ˆ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
3 ˆ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
2 ˆ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
1 ˆ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
67.5 82.5
97.5 112.5 127.5
142.5 157.5
anx Midpoint
name, examining chart by region and school 112
16:43 Thursday, September 4, 2003
----------------------------- region=ct school=m
-----------------------------
Frequency
4 ˆ
*****
‚
*****
‚ *****
‚
*****
‚
*****
‚
*****
‚ *****
‚
*****
‚
*****
‚
*****
3 ˆ
*****
‚ *****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
2 ˆ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
1 ˆ ***** ***** ***** *****
*****
‚ *****
*****
***** ***** *****
‚ *****
*****
***** ***** *****
‚ *****
*****
***** ***** *****
‚ *****
*****
***** ***** *****
‚ *****
*****
***** ***** *****
‚ *****
*****
***** ***** *****
‚ *****
***** *****
***** *****
‚ *****
*****
***** ***** *****
‚ *****
*****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
24 32 40 48 56 64 72
dep Midpoint
name, examining chart by region and school 113
16:43
Thursday, September 4, 2003
----------------------------- region=mt school=e
-----------------------------
Frequency
6 ˆ
*****
‚
*****
‚
*****
‚
*****
‚
*****
5 ˆ
*****
‚
*****
‚
*****
‚
*****
‚
*****
4 ˆ
*****
‚
*****
‚
*****
‚ *****
‚
*****
3 ˆ
*****
‚
*****
‚ *****
‚
*****
‚
*****
2 ˆ
*****
‚ *****
‚
*****
‚
*****
‚
*****
1 ˆ ***** *****
***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
45 60 75 90
105 120 135
anx Midpoint
name, examining chart by region and school 114
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=e
-----------------------------
Frequency
4 ˆ
*****
‚
*****
‚
*****
‚
*****
‚ *****
‚
*****
‚
*****
‚
*****
‚ *****
‚
*****
3 ˆ
*****
‚
*****
‚
*****
‚ *****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
2 ˆ
***** ***** *****
‚
***** ***** *****
‚
***** ***** *****
‚
***** ***** *****
‚
***** ***** *****
‚ ***** *****
*****
‚
***** ***** *****
‚
***** ***** *****
‚
***** ***** *****
‚
***** ***** *****
1 ˆ ***** *****
***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
‚ *****
***** ***** ***** *****
*****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
12 24 36 48 60 72 84
dep Midpoint
name, examining chart by region and school 115
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=h
-----------------------------
Frequency
4 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
3 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
2 ˆ
***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** *****
***** *****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
1 ˆ
***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
40 60 80
100 120 140
160
anx Midpoint
name, examining chart by region and school 116
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=h
-----------------------------
Frequency
3 ˆ *****
*****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
2 ˆ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ *****
***** ***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
‚ ***** *****
***** *****
1 ˆ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚
***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
24 32 40 48 56 64 72
dep Midpoint
name, examining chart by region and school 117
16:43
Thursday, September 4, 2003
----------------------------- region=mt school=m
-----------------------------
Frequency
3 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
2 ˆ
***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
1 ˆ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
65 75 85 95
105 115 125
anx Midpoint
name, examining chart by region and school 118
16:43 Thursday, September 4, 2003
----------------------------- region=mt school=m
-----------------------------
Frequency
3 ˆ
*****
‚
*****
‚
*****
‚
*****
‚ *****
‚
*****
‚
*****
‚
*****
‚
*****
‚
*****
2 ˆ ***** ***** ***** *****
‚ *****
***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
1 ˆ ***** *****
***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
‚ *****
***** ***** ***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
20 28 36 44 52 60 68
dep Midpoint
name, examining chart by region and school 119
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=e
-----------------------------
Frequency
3 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
2 ˆ ***** *****
*****
‚ *****
***** *****
‚ *****
***** *****
‚ *****
***** *****
‚ *****
***** *****
‚ *****
***** *****
‚ *****
***** *****
‚ *****
***** *****
‚ *****
***** *****
‚ *****
***** *****
1 ˆ ***** *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** *****
*****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
85 95
105 115 125
135 145
anx Midpoint
name, examining chart by region and school 120
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=e
-----------------------------
Frequency
3 ˆ
*****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
2 ˆ
***** ***** *****
‚ *****
***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
‚ ***** ***** *****
1 ˆ ***** *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** *****
***** ***** *****
*****
‚ *****
***** ***** *****
***** ***** *****
‚ *****
***** ***** *****
***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
44 52 60 68 76 84 92
dep Midpoint
name, examining chart by region and school 121
16:43
Thursday, September 4, 2003
----------------------------- region=pd school=h
-----------------------------
Frequency
3 ˆ
***** *****
‚ ***** *****
‚
***** *****
‚
***** *****
‚
***** *****
‚ ***** *****
‚
***** *****
‚
***** *****
‚
***** *****
‚ ***** *****
2 ˆ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
‚ *****
***** *****
*****
‚ ***** ***** *****
*****
‚ ***** ***** *****
*****
1 ˆ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** *****
***** ***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
52.5 67.5
82.5 97.5 112.5
127.5 142.5
anx Midpoint
name, examining chart by region and school 122
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=h
-----------------------------
Frequency
4 ˆ
*****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
3 ˆ
***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
2 ˆ
***** ***** *****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
‚ ***** *****
*****
1 ˆ ***** *****
***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
‚ *****
***** ***** ***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
24 36 48 60 72 84 96
dep Midpoint
name, examining chart by region and school 123
16:43
Thursday, September 4, 2003
----------------------------- region=pd school=m
-----------------------------
Frequency
5 ˆ
*****
‚ *****
‚
*****
‚
*****
‚
*****
4 ˆ
*****
‚ *****
‚
*****
‚
*****
‚
*****
3 ˆ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
2 ˆ *****
*****
‚ ***** *****
‚ ***** *****
‚ ***** *****
‚ ***** *****
1 ˆ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
‚ ***** ***** *****
***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
12.5 37.5
62.5 87.5 112.5
137.5 162.5
anx Midpoint
name, examining chart by region and school 124
16:43 Thursday, September 4, 2003
----------------------------- region=pd school=m
-----------------------------
Frequency
3 ˆ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
‚ *****
2 ˆ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
‚ ***** ***** ***** *****
1 ˆ ***** *****
***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
‚ *****
***** ***** *****
***** *****
Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
28 36 44 52 60 68 76
dep Midpoint