The SAS System 1

09:23 Monday, November 24, 2003

Obs sn region recklessness happiness thappiness

1 1 nw 236.180 92.080 9.5959

2 2 nw 151.137 62.012 7.8747

3 3 nw 217.526 82.214 9.0672

4 4 nw 182.891 86.218 9.2854

5 5 nw 290.849 69.295 8.3244

6 6 nw 227.861 70.323 8.3859

7 7 nw 219.082 76.264 8.7329

8 8 nw 246.708 70.195 8.3783

9 9 nw 170.146 84.057 9.1683

10 10 nw 223.520 62.048 7.8771

11 11 nw 233.276 80.222 8.9567

12 12 nw 191.051 81.505 9.0280

13 13 nw 148.913 75.708 8.7010

14 14 nw 276.699 65.044 8.0650

15 15 nw 260.457 66.885 8.1783

16 16 nw 213.831 79.512 8.9169

17 17 nw 248.123 116.232 10.7811

18 18 nw 160.433 76.692 8.7574

19 19 nw 171.492 73.098 8.5497

20 20 nw 195.645 72.032 8.4872

21 21 nw 188.205 60.915 7.8048

22 22 nw 260.361 76.586 8.7513

23 23 nw 173.621 98.473 9.9233

24 24 nw 206.486 100.920 10.0459

25 25 nw 247.196 69.239 8.3210

26 26 se 134.546 92.762 9.6313

27 27 se 156.853 108.949 10.4378

28 28 se 162.827 109.403 10.4596

29 29 se 148.107 127.208 11.2786

30 30 se 118.591 100.552 10.0275

31 31 se 111.856 111.802 10.5736

32 32 se 147.798 90.703 9.5238

33 33 se 130.193 113.516 10.6544

34 34 se 112.045 105.180 10.2558

35 35 se 181.572 90.973 9.5380

36 36 se 109.316 128.993 11.3575

37 37 se 180.765 74.782 8.6477

38 38 se 230.285 95.669 9.7811

39 39 se 188.818 81.933 9.0517

40 40 se 157.193 133.777 11.5662

41 41 se 186.720 122.765 11.0799

42 42 se 112.824 84.497 9.1922

43 43 se 135.580 110.430 10.5086

44 44 se 195.458 78.981 8.8871

45 45 se 126.365 81.718 9.0398

46 46 se 123.284 139.704 11.8197

47 47 se 94.593 107.178 10.3527

48 48 se 137.070 58.743 7.6644

49 49 se 204.751 92.809 9.6338

50 50 se 151.020 142.460 11.9357

51 51 ne 290.216 96.233 9.8098

52 52 ne 176.123 63.561 7.9725

53 53 ne 270.852 87.350 9.3461

54 54 ne 264.656 54.220 7.3634

55 55 ne 224.736 87.044 9.3297

56 56 ne 243.292 56.056 7.4871

57 57 ne 217.553 60.241 7.7615

58 58 ne 266.673 61.706 7.8553

59 59 ne 350.817 79.092 8.8934

60 60 ne 359.346 78.306 8.8491

61 61 ne 234.439 67.465 8.2137

62 62 ne 221.356 81.592 9.0328

63 63 ne 311.803 72.057 8.4886

64 64 ne 298.086 60.622 7.7860

65 65 ne 217.032 84.655 9.2008

66 66 ne 196.817 61.727 7.8566

67 67 ne 227.974 77.636 8.8111

68 68 ne 246.173 96.798 9.8386

69 69 ne 266.891 96.164 9.8063

70 70 ne 347.307 104.758 10.2351

71 71 ne 364.754 92.300 9.6073

72 72 ne 193.783 90.205 9.4977

The SAS System 2

09:23 Monday, November 24, 2003

Obs sn region recklessness happiness thappiness

73 73 ne 238.833 59.308 7.7012

74 74 ne 233.089 91.364 9.5584

75 75 ne 197.353 84.708 9.2037

76 76 sw 264.228 71.179 8.4368

77 77 sw 307.415 83.240 9.1236

78 78 sw 324.392 85.000 9.2195

79 79 sw 341.552 64.532 8.0332

80 80 sw 294.855 92.841 9.6354

81 81 sw 348.691 74.535 8.6334

82 82 sw 198.670 97.633 9.8810

83 83 sw 151.374 78.097 8.8373

84 84 sw 363.041 72.096 8.4910

85 85 sw 228.763 81.540 9.0300

86 86 sw 326.082 78.273 8.8472

87 87 sw 334.850 108.725 10.4271

88 88 sw 347.816 65.162 8.0723

89 89 sw 342.697 51.154 7.1522

90 90 sw 382.311 68.654 8.2857

91 91 sw 284.492 73.275 8.5601

92 92 sw 307.827 84.579 9.1967

93 93 sw 318.895 39.803 6.3089

94 94 sw 273.498 79.603 8.9220

95 95 sw 337.302 86.085 9.2782

96 96 sw 348.736 81.209 9.0116

97 97 sw 255.371 93.276 9.6580

98 98 sw 298.501 63.505 7.9690

99 99 sw 344.177 62.664 7.9161

100 100 sw 346.089 67.396 8.2095

Univariate for All Variables 3

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: recklessness

Moments

N 100 Sum Weights 100

Mean 232.117006 Sum Observations 23211.7006

Std Deviation 74.1041225 Variance 5491.42097

Skewness 0.17974198 Kurtosis -0.9392546

Uncorrected SS 5931481.12 Corrected SS 543650.676

Coeff Variation 31.925331 Std Error Mean 7.41041225

Basic Statistical Measures

Location Variability

Mean 232.1170 Std Deviation 74.10412

Median 227.9177 Variance 5491

Mode . Range 287.71833

Interquartile Range 115.66015

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 31.32309 Pr > |t| <.0001

Sign M 50 Pr >= |M| <.0001

Signed Rank S 2525 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.967334 Pr < W 0.0139

Kolmogorov-Smirnov D 0.067176 Pr > D >0.1500

Cramer-von Mises W-Sq 0.096068 Pr > W-Sq 0.1287

Anderson-Darling A-Sq 0.784687 Pr > A-Sq 0.0420

Quantiles (Definition 5)

Quantile Estimate

100% Max 382.3110

99% 373.5323

95% 349.7767

90% 345.1329

75% Q3 290.5323

50% Median 227.9177

25% Q1 174.8722

10% 135.0632

5% 115.7077

1% 101.9542

0% Min 94.5927

Extreme Observations

------Lowest------ -----Highest-----

Value Obs Value Obs

94.5927 47 350.817 59

109.3157 36 359.346 60

111.8557 31 363.041 84

112.0454 34 364.754 71

112.8245 42 382.311 90

Univariate for All Variables 4

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: recklessness

Stem Leaf # Boxplot

38 2 1 |

36 35 2 |

34 2346789919 10 |

32 4657 4 |

30 7829 4 |

28 401589 6 +-----+

26 004577137 9 | |

24 367785 6 | |

22 145889033469 12 *--+--*

20 5647889 7 | |

18 1237891456779 13 | |

16 030146 6 +-----+

14 88911177 8 |

12 360567 6 |

10 92239 5 |

8 5 1 |

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

390+ +++ *

| +* *

| ********

330+ **+++

| **++

| ***+

270+ ***

| **

| ****

210+ +***

| +****

| +**

150+ +***

| ****

| * ****

90+* +++

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariate for All Variables 5

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: happiness

Moments

N 100 Sum Weights 100

Mean 83.8248021 Sum Observations 8382.48021

Std Deviation 19.7552227 Variance 390.268824

Skewness 0.77041972 Kurtosis 0.67050418

Uncorrected SS 741296.358 Corrected SS 38636.6136

Coeff Variation 23.5672763 Std Error Mean 1.97552227

Basic Statistical Measures

Location Variability

Mean 83.82480 Std Deviation 19.75522

Median 81.52295 Variance 390.26882

Mode . Range 102.65719

Interquartile Range 23.31312

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 42.43172 Pr > |t| <.0001

Sign M 50 Pr >= |M| <.0001

Signed Rank S 2525 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.959581 Pr < W 0.0038

Kolmogorov-Smirnov D 0.096286 Pr > D 0.0222

Cramer-von Mises W-Sq 0.174971 Pr > W-Sq 0.0111

Anderson-Darling A-Sq 1.137173 Pr > A-Sq 0.0055

Quantiles (Definition 5)

Quantile Estimate

100% Max 142.4599

99% 141.0821

95% 124.9864

90% 109.9164

75% Q3 93.0583

50% Median 81.5230

25% Q1 69.7452

10% 61.7163

5% 59.0254

1% 45.4784

0% Min 39.8028

Extreme Observations

------Lowest----- -----Highest-----

Value Obs Value Obs

39.8028 93 127.208 29

51.1540 89 128.993 36

54.2196 54 133.777 40

56.0561 56 139.704 46

58.7426 48 142.460 50

Univariate for All Variables 6

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: happiness

Stem Leaf # Boxplot

14 02 2 0

13 4 1 0

12 79 2 0

12 3 1 |

11 6 1 |

11 024 3 |

10 557999 6 |

10 11 2 |

9 666788 6 |

9 0111223333 10 +-----+

8 55556677 8 | |

8 0001222222344 13 *--+--*

7 556677888899 12 | |

7 00122233 8 +-----+

6 555777999 9 |

6 0112222344 10 |

5 699 3 |

5 14 2 |

4 |

4 0 1 |

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

142.5+ *

| *

| * ++

| ** +++

| * ++

| *+++

| **+

107.5+ **+

| **

| +***

| ****

| ++**

| *****

| ****

72.5+ ****

| ***

| ******

| *** ++

| * * +++

| ++

| +++

37.5+*++

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariate for All Variables 7

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: thappiness

Moments

N 100 Sum Weights 100

Mean 9.09497755 Sum Observations 909.497755

Std Deviation 1.05705206 Variance 1.11735905

Skewness 0.4231691 Kurtosis 0.29390147

Uncorrected SS 8382.48021 Corrected SS 110.618546

Coeff Variation 11.6223713 Std Error Mean 0.10570521

Basic Statistical Measures

Location Variability

Mean 9.094978 Std Deviation 1.05705

Median 9.029006 Variance 1.11736

Mode . Range 5.62672

Interquartile Range 1.29535

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 86.04096 Pr > |t| <.0001

Sign M 50 Pr >= |M| <.0001

Signed Rank S 2525 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.981696 Pr < W 0.1798

Kolmogorov-Smirnov D 0.0731 Pr > D >0.1500

Cramer-von Mises W-Sq 0.080231 Pr > W-Sq 0.2110

Anderson-Darling A-Sq 0.552205 Pr > A-Sq 0.1550

Quantiles (Definition 5)

Quantile Estimate

100% Max 11.93566

99% 11.87766

95% 11.17929

90% 10.48407

75% Q3 9.64667

50% Median 9.02901

25% Q1 8.35132

10% 7.85597

5% 7.68278

1% 6.73057

0% Min 6.30894

Extreme Observations

------Lowest----- -----Highest-----

Value Obs Value Obs

6.30894 93 11.2786 29

7.15220 89 11.3575 36

7.36340 54 11.5662 40

7.48706 56 11.8197 46

7.66437 48 11.9357 50

Univariate for All Variables 8

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: thappiness

Stem Leaf # Boxplot

11 689 3 0

11 134 3 |

10 55678 5 |

10 0023444 7 |

9 5556666667888899 16 +-----+

9 0000001112222223333 19 *--+--*

8 5555666778888889999 19 | |

8 00011222333444 14 +-----+

7 57788899999 11 |

7 24 2 |

6 3 1 0

----+----+----+----+

Normal Probability Plot

11.75+ * * ++*

| ***++++

| ***+++

| ****+

| +*****

| *****

| ******

| ********

| * **++

| +++++

6.25+*

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 9

09:23 Monday, November 24, 2003

--------------------------------- region=ne ----------------------------------

The UNIVARIATE Procedure

Variable: recklessness

Moments

N 25 Sum Weights 25

Mean 258.398122 Sum Observations 6459.95304

Std Deviation 54.3794315 Variance 2957.12257

Skewness 0.67250998 Kurtosis -0.4700949

Uncorrected SS 1740210.67 Corrected SS 70970.9417

Coeff Variation 21.0448246 Std Error Mean 10.8758863

Basic Statistical Measures

Location Variability

Mean 258.3981 Std Deviation 54.37943

Median 243.2920 Variance 2957

Mode . Range 188.63079

Interquartile Range 68.85938

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 23.75881 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.925397 Pr < W 0.0681

Kolmogorov-Smirnov D 0.148935 Pr > D >0.1500

Cramer-von Mises W-Sq 0.104641 Pr > W-Sq 0.0938

Anderson-Darling A-Sq 0.673345 Pr > A-Sq 0.0732

Quantiles (Definition 5)

Quantile Estimate

100% Max 364.754

99% 364.754

95% 359.346

90% 350.817

75% Q3 290.216

50% Median 243.292

25% Q1 221.356

10% 196.817

5% 193.783

1% 176.123

0% Min 176.123

Extreme Observations

------Lowest----- -----Highest-----

Value Obs Value Obs

176.123 2 311.803 13

193.783 22 347.307 20

196.817 16 350.817 9

197.353 25 359.346 10

217.032 15 364.754 21

Univariates by Region for All Variables 10

09:23 Monday, November 24, 2003

--------------------------------- region=ne ----------------------------------

The UNIVARIATE Procedure

Variable: recklessness

Stem Leaf # Boxplot

36 5 1 |

34 719 3 |

32 |

30 2 1 |

28 08 2 +-----+

26 5771 4 | |

24 36 2 *--+--*

22 158349 6 +-----+

20 78 2 |

18 477 3 |

16 6 1 |

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

370+ +*++

| * * *+++

| ++++

| +*++

| ++*+*

270+ +****

| +++**

| +******

| +**

| *+*+*

170+ * ++++

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 11

09:23 Monday, November 24, 2003

--------------------------------- region=ne ----------------------------------

The UNIVARIATE Procedure

Variable: happiness

Moments

N 25 Sum Weights 25

Mean 77.8067295 Sum Observations 1945.16824

Std Deviation 15.0480005 Variance 226.442319

Skewness -0.054248 Kurtosis -1.2970769

Uncorrected SS 156781.795 Corrected SS 5434.61565

Coeff Variation 19.3402301 Std Error Mean 3.0096001

Basic Statistical Measures

Location Variability

Mean 77.80673 Std Deviation 15.04800

Median 79.09194 Variance 226.44232

Mode . Range 50.53866

Interquartile Range 28.47859

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 25.85285 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.937047 Pr < W 0.1265

Kolmogorov-Smirnov D 0.148104 Pr > D >0.1500

Cramer-von Mises W-Sq 0.093628 Pr > W-Sq 0.1327

Anderson-Darling A-Sq 0.594374 Pr > A-Sq 0.1119

Quantiles (Definition 5)

Quantile Estimate

100% Max 104.7583

99% 104.7583

95% 96.7981

90% 96.2331

75% Q3 90.2055

50% Median 79.0919

25% Q1 61.7269

10% 59.3082

5% 56.0561

1% 54.2196

0% Min 54.2196

Extreme Observations

------Lowest----- ------Highest-----

Value Obs Value Obs

54.2196 4 92.3003 21

56.0561 6 96.1636 19

59.3082 23 96.2331 1

60.2415 7 96.7981 18

60.6216 14 104.7583 20

Univariates by Region for All Variables 12

09:23 Monday, November 24, 2003

--------------------------------- region=ne ----------------------------------

The UNIVARIATE Procedure

Variable: happiness

Stem Leaf # Boxplot

10 5 1 |

10 |

9 667 3 |

9 012 3 +-----+

8 5577 4 | |

8 2 1 | |

7 889 3 *--+--*

7 2 1 | |

6 7 1 | |

6 01224 5 +-----+

5 69 2 |

5 4 1 |

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

107.5+ +++

| ++++ *

| *+*+*

| * **++

| **+++

| ***+

| ++*+

| +++ *

| *+** **

| *+*+

52.5+ * +++

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 13

09:23 Monday, November 24, 2003

--------------------------------- region=ne ----------------------------------

The UNIVARIATE Procedure

Variable: thappiness

Moments

N 25 Sum Weights 25

Mean 8.78024156 Sum Observations 219.506039

Std Deviation 0.86246234 Variance 0.74384128

Skewness -0.1593733 Kurtosis -1.3293403

Uncorrected SS 1945.16824 Corrected SS 17.8521908

Coeff Variation 9.82276321 Std Error Mean 0.17249247

Basic Statistical Measures

Location Variability

Mean 8.780242 Std Deviation 0.86246

Median 8.893365 Variance 0.74384

Mode . Range 2.87175

Interquartile Range 1.64101

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 50.90217 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.933017 Pr < W 0.1020

Kolmogorov-Smirnov D 0.145505 Pr > D >0.1500

Cramer-von Mises W-Sq 0.106163 Pr > W-Sq 0.0903

Anderson-Darling A-Sq 0.648454 Pr > A-Sq 0.0838

Quantiles (Definition 5)

Quantile Estimate

100% Max 10.23515

99% 10.23515

95% 9.83861

90% 9.80985

75% Q3 9.49766

50% Median 8.89337

25% Q1 7.85665

10% 7.70118

5% 7.48706

1% 7.36340

0% Min 7.36340

Extreme Observations

------Lowest----- ------Highest-----

Value Obs Value Obs

7.36340 4 9.60730 21

7.48706 6 9.80630 19

7.70118 23 9.80985 1

7.76154 7 9.83861 18

7.78599 14 10.23515 20

Univariates by Region for All Variables 14

09:23 Monday, November 24, 2003

--------------------------------- region=ne ----------------------------------

The UNIVARIATE Procedure

Variable: thappiness

Stem Leaf # Boxplot

10 2 1 |

9 566888 6 +-----+

9 02233 5 | |

8 5889 4 *--+--*

8 02 2 | |

7 578899 6 +-----+

7 4 1 |

----+----+----+----+

Normal Probability Plot

10.25+ +++++*

| **+*+*+*

| ******++

8.75+ +***++

| +++++**

| +*+*+** **

7.25+ *++++*

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 15

09:23 Monday, November 24, 2003

--------------------------------- region=nw ----------------------------------

The UNIVARIATE Procedure

Variable: recklessness

Moments

N 25 Sum Weights 25

Mean 213.667566 Sum Observations 5341.68916

Std Deviation 39.5988482 Variance 1568.06878

Skewness 0.07298475 Kurtosis -0.867061

Uncorrected SS 1178979.37 Corrected SS 37633.6507

Coeff Variation 18.5329243 Std Error Mean 7.91976964

Basic Statistical Measures

Location Variability

Mean 213.6676 Std Deviation 39.59885

Median 217.5261 Variance 1568

Mode . Range 141.93565

Interquartile Range 63.81742

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 26.97901 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.973457 Pr < W 0.7331

Kolmogorov-Smirnov D 0.084062 Pr > D >0.1500

Cramer-von Mises W-Sq 0.029566 Pr > W-Sq >0.2500

Anderson-Darling A-Sq 0.203554 Pr > A-Sq >0.2500

Quantiles (Definition 5)

Quantile Estimate

100% Max 290.849

99% 290.849

95% 276.699

90% 260.457

75% Q3 246.708

50% Median 217.526

25% Q1 182.891

10% 160.433

5% 151.137

1% 148.913

0% Min 148.913

Extreme Observations

------Lowest----- -----Highest-----

Value Obs Value Obs

148.913 13 248.123 17

151.137 2 260.361 22

160.433 18 260.457 15

170.146 9 276.699 14

171.492 19 290.849 5

Univariates by Region for All Variables 16

09:23 Monday, November 24, 2003

--------------------------------- region=nw ----------------------------------

The UNIVARIATE Procedure

Variable: recklessness

Stem Leaf # Boxplot

28 1 1 |

26 007 3 |

24 778 3 +-----+

22 4836 4 | |

20 6489 4 *--+--*

18 3816 4 +-----+

16 0014 4 |

14 91 2 |

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

290+ +++*+

| *+*+*+

| *+**++

| ****+

| +****

| ++****

| *+*+**

150+ * +++*+

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 17

09:23 Monday, November 24, 2003

--------------------------------- region=nw ----------------------------------

The UNIVARIATE Procedure

Variable: happiness

Moments

N 25 Sum Weights 25

Mean 77.9107919 Sum Observations 1947.7698

Std Deviation 13.2020516 Variance 174.294165

Skewness 1.22090233 Kurtosis 1.75657321

Uncorrected SS 155935.347 Corrected SS 4183.05997

Coeff Variation 16.9450871 Std Error Mean 2.64041031

Basic Statistical Measures

Location Variability

Mean 77.91079 Std Deviation 13.20205

Median 76.26429 Variance 174.29417

Mode . Range 55.31684

Interquartile Range 12.91886

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 29.50708 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.910474 Pr < W 0.0312

Kolmogorov-Smirnov D 0.136774 Pr > D >0.1500

Cramer-von Mises W-Sq 0.10274 Pr > W-Sq 0.0982

Anderson-Darling A-Sq 0.659169 Pr > A-Sq 0.0792

Quantiles (Definition 5)

Quantile Estimate

100% Max 116.2318

99% 116.2318

95% 100.9201

90% 98.4727

75% Q3 82.2138

50% Median 76.2643

25% Q1 69.2949

10% 62.0483

5% 62.0116

1% 60.9149

0% Min 60.9149

Extreme Observations

------Lowest----- ------Highest-----

Value Obs Value Obs

60.9149 21 86.2180 4

62.0116 2 92.0804 1

62.0483 10 98.4727 23

65.0438 14 100.9201 24

66.8852 15 116.2318 17

Univariates by Region for All Variables 18

09:23 Monday, November 24, 2003

--------------------------------- region=nw ----------------------------------

The UNIVARIATE Procedure

Variable: happiness

Stem Leaf # Boxplot

11 6 1 0

10 1 1 |

9 28 2 |

8 002246 6 +-----+

7 00236677 8 *--+--*

6 1225799 7 +-----+

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

115+ * +

| * ++++++++

| +*+*+++

| ++***+**

| *********

65+ * * *+*+**+*

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 19

09:23 Monday, November 24, 2003

--------------------------------- region=nw ----------------------------------

The UNIVARIATE Procedure

Variable: thappiness

Moments

N 25 Sum Weights 25

Mean 8.79830853 Sum Observations 219.957713

Std Deviation 0.72209105 Variance 0.52141548

Skewness 0.99627273 Kurtosis 1.11376319

Uncorrected SS 1947.7698 Corrected SS 12.5139716

Coeff Variation 8.20715761 Std Error Mean 0.14441821

Basic Statistical Measures

Location Variability

Mean 8.798309 Std Deviation 0.72209

Median 8.732943 Variance 0.52142

Mode . Range 2.97628

Interquartile Range 0.74282

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 60.92243 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.934028 Pr < W 0.1077

Kolmogorov-Smirnov D 0.122588 Pr > D >0.1500

Cramer-von Mises W-Sq 0.073088 Pr > W-Sq 0.2468

Anderson-Darling A-Sq 0.486253 Pr > A-Sq 0.2142

Quantiles (Definition 5)

Quantile Estimate

100% Max 10.78108

99% 10.78108

95% 10.04590

90% 9.92334

75% Q3 9.06718

50% Median 8.73294

25% Q1 8.32436

10% 7.87707

5% 7.87474

1% 7.80480

0% Min 7.80480

Extreme Observations

------Lowest----- ------Highest-----

Value Obs Value Obs

7.80480 21 9.28536 4

7.87474 2 9.59586 1

7.87707 10 9.92334 23

8.06497 14 10.04590 24

8.17834 15 10.78108 17

Univariates by Region for All Variables 20

09:23 Monday, November 24, 2003

--------------------------------- region=nw ----------------------------------

The UNIVARIATE Procedure

Variable: thappiness

Stem Leaf # Boxplot

10 8 1 0

10 0 1 |

9 69 2 |

9 00123 5 +-----+

8 5577889 7 *--+--*

8 123344 6 +-----+

7 899 3 |

----+----+----+----+

Normal Probability Plot

10.75+ * ++

| * +++++++

| +*+*+++

9.25+ ++**+**

| ++*******

| *+**+****

7.75+ * ++*+*+

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 21

09:23 Monday, November 24, 2003

--------------------------------- region=se ----------------------------------

The UNIVARIATE Procedure

Variable: recklessness

Moments

N 25 Sum Weights 25

Mean 149.537293 Sum Observations 3738.43232

Std Deviation 34.667218 Variance 1201.816

Skewness 0.55233573 Kurtosis -0.3740727

Uncorrected SS 587878.632 Corrected SS 28843.5841

Coeff Variation 23.1829916 Std Error Mean 6.9334436

Basic Statistical Measures

Location Variability

Mean 149.5373 Std Deviation 34.66722

Median 147.7983 Variance 1202

Mode . Range 135.69243

Interquartile Range 57.48118

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 21.56754 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.958196 Pr < W 0.3797

Kolmogorov-Smirnov D 0.12044 Pr > D >0.1500

Cramer-von Mises W-Sq 0.06298 Pr > W-Sq >0.2500

Anderson-Darling A-Sq 0.390622 Pr > A-Sq >0.2500

Quantiles (Definition 5)

Quantile Estimate

100% Max 230.2851

99% 230.2851

95% 204.7511

90% 195.4582

75% Q3 180.7652

50% Median 147.7983

25% Q1 123.2840

10% 111.8557

5% 109.3157

1% 94.5927

0% Min 94.5927

Extreme Observations

------Lowest------ -----Highest-----

Value Obs Value Obs

94.5927 22 186.720 16

109.3157 11 188.818 14

111.8557 6 195.458 19

112.0454 9 204.751 24

112.8245 17 230.285 13

Univariates by Region for All Variables 22

09:23 Monday, November 24, 2003

--------------------------------- region=se ----------------------------------

The UNIVARIATE Procedure

Variable: recklessness

Stem Leaf # Boxplot

22 0 1 |

20 5 1 |

18 12795 5 +-----+

16 3 1 | |

14 88177 5 *--+--*

12 360567 6 +-----+

10 92239 5 |

8 5 1 |

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

230+ *+++++

| *+++++

| * **+*+*+

| +*+++

| ++*****

| ++******

| *+*+*+**

90+ *+++++

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 23

09:23 Monday, November 24, 2003

--------------------------------- region=se ----------------------------------

The UNIVARIATE Procedure

Variable: happiness

Moments

N 25 Sum Weights 25

Mean 103.419471 Sum Observations 2585.48677

Std Deviation 21.3858123 Variance 457.352968

Skewness 0.06497225 Kurtosis -0.4800467

Uncorrected SS 278366.145 Corrected SS 10976.4712

Coeff Variation 20.6787098 Std Error Mean 4.27716246

Basic Statistical Measures

Location Variability

Mean 103.4195 Std Deviation 21.38581

Median 105.1805 Variance 457.35297

Mode . Range 83.71735

Interquartile Range 22.81295

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 24.17946 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.979697 Pr < W 0.8790

Kolmogorov-Smirnov D 0.090097 Pr > D >0.1500

Cramer-von Mises W-Sq 0.031472 Pr > W-Sq >0.2500

Anderson-Darling A-Sq 0.205548 Pr > A-Sq >0.2500

Quantiles (Definition 5)

Quantile Estimate

100% Max 142.4599

99% 142.4599

95% 139.7042

90% 133.7768

75% Q3 113.5162

50% Median 105.1805

25% Q1 90.7033

10% 78.9810

5% 74.7819

1% 58.7426

0% Min 58.7426

Extreme Observations

------Lowest----- -----Highest-----

Value Obs Value Obs

58.7426 23 127.208 4

74.7819 12 128.993 11

78.9810 19 133.777 15

81.7181 20 139.704 21

81.9332 14 142.460 25

Univariates by Region for All Variables 24

09:23 Monday, November 24, 2003

--------------------------------- region=se ----------------------------------

The UNIVARIATE Procedure

Variable: happiness

Stem Leaf # Boxplot

14 02 2 |

13 4 1 |

12 379 3 |

11 024 3 +-----+

10 15799 5 *--+--*

9 11336 5 +-----+

8 224 3 |

7 59 2 |

6 |

5 9 1 |

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

145+ ++*+

| *+*++

| **+*+

115+ ***+

| *****

85+ *+**+

| *+*++

| +++++

55+ ++++*

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 25

09:23 Monday, November 24, 2003

--------------------------------- region=se ----------------------------------

The UNIVARIATE Procedure

Variable: thappiness

Moments

N 25 Sum Weights 25

Mean 10.1159362 Sum Observations 252.898405

Std Deviation 1.06424163 Variance 1.13261025

Skewness -0.1823975 Kurtosis -0.2514872

Uncorrected SS 2585.48677 Corrected SS 27.182646

Coeff Variation 10.5204463 Std Error Mean 0.21284833

Basic Statistical Measures

Location Variability

Mean 10.11594 Std Deviation 1.06424

Median 10.25575 Variance 1.13261

Mode . Range 4.27129

Interquartile Range 1.13057

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 47.5265 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.979733 Pr < W 0.8798

Kolmogorov-Smirnov D 0.07475 Pr > D >0.1500

Cramer-von Mises W-Sq 0.026553 Pr > W-Sq >0.2500

Anderson-Darling A-Sq 0.183333 Pr > A-Sq >0.2500

Quantiles (Definition 5)

Quantile Estimate

100% Max 11.93566

99% 11.93566

95% 11.81965

90% 11.56619

75% Q3 10.65440

50% Median 10.25575

25% Q1 9.52383

10% 8.88713

5% 8.64765

1% 7.66437

0% Min 7.66437

Extreme Observations

------Lowest----- -----Highest-----

Value Obs Value Obs

7.66437 23 11.2786 4

8.64765 12 11.3575 11

8.88713 19 11.5662 15

9.03981 20 11.8197 21

9.05169 14 11.9357 25

Univariates by Region for All Variables 26

09:23 Monday, November 24, 2003

--------------------------------- region=se ----------------------------------

The UNIVARIATE Procedure

Variable: thappiness

Stem Leaf # Boxplot

11 689 3 |

11 134 3 |

10 5567 4 +-----+

10 0344 4 *--+--*

9 55668 5 +-----+

9 012 3 |

8 69 2 |

7 7 1 0

----+----+----+----+

Normal Probability Plot

11.75+ *+*++ *

| **+*++

| ***++

| *****

9.75+ *****

| *+**++

| *+*++

| ++++

7.75+ ++++*

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 27

09:23 Monday, November 24, 2003

--------------------------------- region=sw ----------------------------------

The UNIVARIATE Procedure

Variable: recklessness

Moments

N 25 Sum Weights 25

Mean 306.865043 Sum Observations 7671.62608

Std Deviation 54.1058277 Variance 2927.44059

Skewness -1.3383917 Kurtosis 1.77557045

Uncorrected SS 2424412.45 Corrected SS 70258.5743

Coeff Variation 17.631799 Std Error Mean 10.8211655

Basic Statistical Measures

Location Variability

Mean 306.8650 Std Deviation 54.10583

Median 324.3923 Variance 2927

Mode . Range 230.93698

Interquartile Range 59.68477

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 28.35785 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.88582 Pr < W 0.0091

Kolmogorov-Smirnov D 0.147973 Pr > D >0.1500

Cramer-von Mises W-Sq 0.169888 Pr > W-Sq 0.0124

Anderson-Darling A-Sq 1.00999 Pr > A-Sq 0.0096

Quantiles (Definition 5)

Quantile Estimate

100% Max 382.311

99% 382.311

95% 363.041

90% 348.736

75% Q3 344.177

50% Median 324.392

25% Q1 284.492

10% 228.763

5% 198.670

1% 151.374

0% Min 151.374

Extreme Observations

------Lowest----- -----Highest-----

Value Obs Value Obs

151.374 8 347.816 13

198.670 7 348.691 6

228.763 10 348.736 21

255.371 22 363.041 9

264.228 1 382.311 15

Univariates by Region for All Variables 28

09:23 Monday, November 24, 2003

--------------------------------- region=sw ----------------------------------

The UNIVARIATE Procedure

Variable: recklessness

Stem Leaf # Boxplot

3 555568 6 |

3 01122334444 11 +--+--+

2 66789 5 +-----+

2 03 2 |

1 5 1 0

----+----+----+----+

Multiply Stem.Leaf by 10**+2

Normal Probability Plot

375+ +++++++*++ *

| **********+** * *

275+ *+**+***++

| ++++++*++

175++++++* *

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 29

09:23 Monday, November 24, 2003

--------------------------------- region=sw ----------------------------------

The UNIVARIATE Procedure

Variable: happiness

Moments

N 25 Sum Weights 25

Mean 76.162216 Sum Observations 1904.0554

Std Deviation 14.7139278 Variance 216.499672

Skewness -0.2186496 Kurtosis 0.88509264

Uncorrected SS 150213.071 Corrected SS 5195.99213

Coeff Variation 19.3191961 Std Error Mean 2.94278557

Basic Statistical Measures

Location Variability

Mean 76.16222 Std Deviation 14.71393

Median 78.09726 Variance 216.49967

Mode . Range 68.92219

Interquartile Range 17.18284

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 25.88099 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.983048 Pr < W 0.9381

Kolmogorov-Smirnov D 0.099474 Pr > D >0.1500

Cramer-von Mises W-Sq 0.028619 Pr > W-Sq >0.2500

Anderson-Darling A-Sq 0.21579 Pr > A-Sq >0.2500

Quantiles (Definition 5)

Quantile Estimate

100% Max 108.7249

99% 108.7249

95% 97.6332

90% 93.2761

75% Q3 84.5786

50% Median 78.0973

25% Q1 67.3958

10% 62.6641

5% 51.1540

1% 39.8028

0% Min 39.8028

Extreme Observations

------Lowest----- ------Highest-----

Value Obs Value Obs

39.8028 18 86.0851 20

51.1540 14 92.8406 5

62.6641 24 93.2761 22

63.5047 23 97.6332 7

64.5319 4 108.7249 12

Univariates by Region for All Variables 30

09:23 Monday, November 24, 2003

--------------------------------- region=sw ----------------------------------

The UNIVARIATE Procedure

Variable: happiness

Stem Leaf # Boxplot

10 9 1 |

9 338 3 |

8 0123556 7 +-----+

7 123588 6 *--+--*

6 345579 6 +-----+

5 1 1 |

4 0 1 0

----+----+----+----+

Multiply Stem.Leaf by 10**+1

Normal Probability Plot

105+ +++*++

| +*+*+*+

| ****+**

| *******

| * *+**+**

| ++*++++

| +++++++

35++ *

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 31

09:23 Monday, November 24, 2003

--------------------------------- region=sw ----------------------------------

The UNIVARIATE Procedure

Variable: thappiness

Moments

N 25 Sum Weights 25

Mean 8.68542391 Sum Observations 217.135598

Std Deviation 0.86940324 Variance 0.75586199

Skewness -0.6277873 Kurtosis 1.43169624

Uncorrected SS 1904.0554 Corrected SS 18.1406879

Coeff Variation 10.0099114 Std Error Mean 0.17388065

Basic Statistical Measures

Location Variability

Mean 8.685424 Std Deviation 0.86940

Median 8.837265 Variance 0.75586

Mode . Range 4.11818

Interquartile Range 0.98717

Tests for Location: Mu0=0

Test -Statistic- -----p Value------

Student's t t 49.95049 Pr > |t| <.0001

Sign M 12.5 Pr >= |M| <.0001

Signed Rank S 162.5 Pr >= |S| <.0001

Tests for Normality

Test --Statistic--- -----p Value------

Shapiro-Wilk W 0.966765 Pr < W 0.5646

Kolmogorov-Smirnov D 0.108097 Pr > D >0.1500

Cramer-von Mises W-Sq 0.040639 Pr > W-Sq >0.2500

Anderson-Darling A-Sq 0.304864 Pr > A-Sq >0.2500

Quantiles (Definition 5)

Quantile Estimate

100% Max 10.42712

99% 10.42712

95% 9.88095

90% 9.65795

75% Q3 9.19666

50% Median 8.83727

25% Q1 8.20949

10% 7.91606

5% 7.15220

1% 6.30894

0% Min 6.30894

Extreme Observations

------Lowest----- ------Highest-----

Value Obs Value Obs

6.30894 18 9.27821 20

7.15220 14 9.63538 5

7.91606 24 9.65795 22

7.96899 23 9.88095 7

8.03318 4 10.42712 12

Univariates by Region for All Variables 32

09:23 Monday, November 24, 2003

--------------------------------- region=sw ----------------------------------

The UNIVARIATE Procedure

Variable: thappiness

Stem Leaf # Boxplot

10 4 1 |

9 679 3 |

9 001223 6 +-----+

8 566889 6 *--+--*

8 001234 6 +-----+

7 9 1 |

7 2 1 |

6 3 1 0

----+----+----+----+

Normal Probability Plot

10.25+ ++++*

| +*+*+*

| ****+**

| *****+

8.25+ **+****

| *+*+++

| ++++*+

|++++++

6.25+ *

+----+----+----+----+----+----+----+----+----+----+

-2 -1 0 +1 +2

Univariates by Region for All Variables 33

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: recklessness

Schematic Plots

380 + |

| |

| | |

360 + | |

| | |

| | +-----+

340 + | | |

| | | |

| | *-----*

320 + | | |

| | | |

| | | + |

300 + | | |

| | | |

| +-----+ | | |

| | | | +-----+

280 + | | | |

| | | | |

260 + | + | | |

| | | | |

| *-----* +-----+ |

240 + | | | | |

| | | | | |

| | | | | | |

220 + +-----+ *-----* | |

| | | + | | |

| | | | | |

200 + | | | | |

| | | | |

| | +-----+ |

180 + | | +-----+

| | | | |

| | | |

160 + | | |

| | | |

| | *--+--* 0

| | |

140 + | |

| | |

| +-----+

120 + |

| |

100 + |

| |

80 +

------------+-----------+-----------+-----------+-----------

region ne nw se sw

Univariates by Region for All Variables 34

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: happiness

Schematic Plots

150 +

| |

140 + |

| |

130 + |

| |

120 + |

| |

| 0 |

| +-----+

110 + | |

| | | |

| | *-----* |

| | | + | |

100 + | | | | |

| | | | | |

90 + +-----+ | +-----+ |

| | | | | |

| | | | | +-----+

| | | +-----+ | | |

80 + *-----* | | | | |

| | + | *--+--* | *-----*

| | | | | | | + |

| | | | | | | |

70 + | | +-----+ | | |

| | | | | +-----+

| | | | | |

| +-----+ | | |

60 + | | | |

| | | |

| | |

| |

50 + |

40 + 0

------------+-----------+-----------+-----------+-----------

region ne nw se sw

Univariates by Region for All Variables 35

09:23 Monday, November 24, 2003

The UNIVARIATE Procedure

Variable: thappiness

Schematic Plots

12 +

| |

11.5 + |

| |

11 + |

| |

| 0 |

| +-----+

10.5 + | |

| | | |

| | *-----* |

| | | + | |

10 + | | | | |

| | | | | |

9.5 + +-----+ | +-----+ |

| | | | | |

| | | | | +-----+

| | | +-----+ | | |

9 + | | | | | | |

| *-----* | | | *-----*

| | + | *--+--* | | |

| | | | | | | + |

8.5 + | | | | | |

| | | +-----+ | |

| | | | +-----+

| | | | |

8 + | | | |

| +-----+ | |

| | | |

| | 0 |

7.5 + | |

| | |

| |

7 +

6.5 +

| 0

6 +

------------+-----------+-----------+-----------+-----------

region ne nw se sw

ANOVA for Recklessness by Region 36

09:23 Monday, November 24, 2003

The ANOVA Procedure

Class Level Information

Class Levels Values

region 4 ne nw se sw

Number of observations 100

ANOVA for Recklessness by Region 37

09:23 Monday, November 24, 2003

The ANOVA Procedure

Dependent Variable: recklessness

Sum of

Source DF Squares Mean Square F Value Pr > F

Model 3 335943.9250 111981.3083 51.76 <.0001

Error 96 207706.7508 2163.6120

Corrected Total 99 543650.6757

R-Square Coeff Var Root MSE recklessness Mean

0.617941 20.03931 46.51464 232.1170

Source DF Anova SS Mean Square F Value Pr > F

region 3 335943.9250 111981.3083 51.76 <.0001

ANOVA for Recklessness by Region 38

09:23 Monday, November 24, 2003

The ANOVA Procedure

Levene's Test for Homogeneity of recklessness Variance

ANOVA of Squared Deviations from Group Means

Sum of Mean

Source DF Squares Square F Value Pr > F

region 3 57434490 19144830 1.80 0.1528

Error 96 1.0225E9 10650631

ANOVA for Recklessness by Region 39

09:23 Monday, November 24, 2003

The ANOVA Procedure

Level of ---------recklessness--------

region N Mean Std Dev

ne 25 258.398122 54.3794315

nw 25 213.667566 39.5988482

se 25 149.537293 34.6672180

sw 25 306.865043 54.1058277

ANOVA for Recklessness by Region 40

09:23 Monday, November 24, 2003

The ANOVA Procedure

t Tests (LSD) for recklessness

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 2163.612

Critical Value of t 1.98498

Least Significant Difference 26.115

Means with the same letter are not significantly different.

t Grouping Mean N region

A 306.87 25 sw

B 258.40 25 ne

C 213.67 25 nw

D 149.54 25 se

ANOVA for Recklessness by Region 41

09:23 Monday, November 24, 2003

The ANOVA Procedure

Bonferroni (Dunn) t Tests for recklessness

NOTE: This test controls the Type I experimentwise error rate, but it

generally has a higher Type II error rate than REGWQ.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 2163.612

Critical Value of t 2.69403

Minimum Significant Difference 35.444

Means with the same letter are not significantly different.

Bon Grouping Mean N region

A 306.87 25 sw

B 258.40 25 ne

C 213.67 25 nw

D 149.54 25 se

ANOVA for Recklessness by Region 42

09:23 Monday, November 24, 2003

The ANOVA Procedure

Tukey's Studentized Range (HSD) Test for recklessness

NOTE: This test controls the Type I experimentwise error rate, but it

generally has a higher Type II error rate than REGWQ.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 2163.612

Critical Value of Studentized Range 3.69762

Minimum Significant Difference 34.399

Means with the same letter are not significantly different.

Tukey Grouping Mean N region

A 306.87 25 sw

B 258.40 25 ne

C 213.67 25 nw

D 149.54 25 se

ANOVA for Recklessness by Region 43

09:23 Monday, November 24, 2003

The ANOVA Procedure

Ryan-Einot-Gabriel-Welsch Multiple Range Test for recklessness

NOTE: This test controls the Type I experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 2163.612

Number of Means 2 3 4

Critical Range 29.891787 31.320308 34.398666

Means with the same letter are not significantly different.

REGWQ Grouping Mean N region

A 306.87 25 sw

B 258.40 25 ne

C 213.67 25 nw

D 149.54 25 se

ANOVA for Happiness by Region 44

09:23 Monday, November 24, 2003

The ANOVA Procedure

Class Level Information

Class Levels Values

region 4 ne nw se sw

Number of observations 100

ANOVA for Happiness by Region 45

09:23 Monday, November 24, 2003

The ANOVA Procedure

Dependent Variable: happiness

Sum of

Source DF Squares Mean Square F Value Pr > F

Model 3 12846.47463 4282.15821 15.94 <.0001

Error 96 25790.13898 268.64728

Corrected Total 99 38636.61362

R-Square Coeff Var Root MSE happiness Mean

0.332495 19.55324 16.39046 83.82480

Source DF Anova SS Mean Square F Value Pr > F

region 3 12846.47463 4282.15821 15.94 <.0001

ANOVA for Happiness by Region 46

09:23 Monday, November 24, 2003

The ANOVA Procedure

Levene's Test for Homogeneity of happiness Variance

ANOVA of Squared Deviations from Group Means

Sum of Mean

Source DF Squares Square F Value Pr > F

region 3 1129259 376420 2.91 0.0385

Error 96 12419079 129365

ANOVA for Happiness by Region 47

09:23 Monday, November 24, 2003

The ANOVA Procedure

Level of ----------happiness----------

region N Mean Std Dev

ne 25 77.806730 15.0480005

nw 25 77.910792 13.2020516

se 25 103.419471 21.3858123

sw 25 76.162216 14.7139278

ANOVA for Happiness by Region 48

09:23 Monday, November 24, 2003

The ANOVA Procedure

t Tests (LSD) for happiness

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 268.6473

Critical Value of t 1.98498

Least Significant Difference 9.2022

Means with the same letter are not significantly different.

t Grouping Mean N region

A 103.419 25 se

B 77.911 25 nw

B 77.807 25 ne

B 76.162 25 sw

ANOVA for Happiness by Region 49

09:23 Monday, November 24, 2003

The ANOVA Procedure

Bonferroni (Dunn) t Tests for happiness

NOTE: This test controls the Type I experimentwise error rate, but it

generally has a higher Type II error rate than REGWQ.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 268.6473

Critical Value of t 2.69403

Minimum Significant Difference 12.489

Means with the same letter are not significantly different.

Bon Grouping Mean N region

A 103.419 25 se

B 77.911 25 nw

B 77.807 25 ne

B 76.162 25 sw

ANOVA for Happiness by Region 50

09:23 Monday, November 24, 2003

The ANOVA Procedure

Tukey's Studentized Range (HSD) Test for happiness

NOTE: This test controls the Type I experimentwise error rate, but it

generally has a higher Type II error rate than REGWQ.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 268.6473

Critical Value of Studentized Range 3.69762

Minimum Significant Difference 12.121

Means with the same letter are not significantly different.

Tukey Grouping Mean N region

A 103.419 25 se

B 77.911 25 nw

B 77.807 25 ne

B 76.162 25 sw

ANOVA for Happiness by Region 51

09:23 Monday, November 24, 2003

The ANOVA Procedure

Ryan-Einot-Gabriel-Welsch Multiple Range Test for happiness

NOTE: This test controls the Type I experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 268.6473

Number of Means 2 3 4

Critical Range 10.533032 11.036403 12.121131

Means with the same letter are not significantly different.

REGWQ Grouping Mean N region

A 103.419 25 se

B 77.911 25 nw

B 77.807 25 ne

B 76.162 25 sw

ANOVA for tHappiness by Region 52

09:23 Monday, November 24, 2003

The ANOVA Procedure

Class Level Information

Class Levels Values

region 4 ne nw se sw

Number of observations 100

ANOVA for tHappiness by Region 53

09:23 Monday, November 24, 2003

The ANOVA Procedure

Dependent Variable: thappiness

Sum of

Source DF Squares Mean Square F Value Pr > F

Model 3 34.9290496 11.6430165 14.77 <.0001

Error 96 75.6894963 0.7884323

Corrected Total 99 110.6185459

R-Square Coeff Var Root MSE thappiness Mean

0.315761 9.762939 0.887937 9.094978

Source DF Anova SS Mean Square F Value Pr > F

region 3 34.92904958 11.64301653 14.77 <.0001

ANOVA for tHappiness by Region 54

09:23 Monday, November 24, 2003

The ANOVA Procedure

Levene's Test for Homogeneity of thappiness Variance

ANOVA of Squared Deviations from Group Means

Sum of Mean

Source DF Squares Square F Value Pr > F

region 3 4.4422 1.4807 1.29 0.2831

Error 96 110.4 1.1499

ANOVA for tHappiness by Region 55

09:23 Monday, November 24, 2003

The ANOVA Procedure

Level of ----------thappiness---------

region N Mean Std Dev

ne 25 8.7802416 0.86246234

nw 25 8.7983085 0.72209105

se 25 10.1159362 1.06424163

sw 25 8.6854239 0.86940324

ANOVA for tHappiness by Region 56

09:23 Monday, November 24, 2003

The ANOVA Procedure

t Tests (LSD) for thappiness

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 0.788432

Critical Value of t 1.98498

Least Significant Difference 0.4985

Means with the same letter are not significantly different.

t Grouping Mean N region

A 10.1159 25 se

B 8.7983 25 nw

B 8.7802 25 ne

B 8.6854 25 sw

ANOVA for tHappiness by Region 57

09:23 Monday, November 24, 2003

The ANOVA Procedure

Bonferroni (Dunn) t Tests for thappiness

NOTE: This test controls the Type I experimentwise error rate, but it

generally has a higher Type II error rate than REGWQ.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 0.788432

Critical Value of t 2.69403

Minimum Significant Difference 0.6766

Means with the same letter are not significantly different.

Bon Grouping Mean N region

A 10.1159 25 se

B 8.7983 25 nw

B 8.7802 25 ne

B 8.6854 25 sw

ANOVA for tHappiness by Region 58

09:23 Monday, November 24, 2003

The ANOVA Procedure

Tukey's Studentized Range (HSD) Test for thappiness

NOTE: This test controls the Type I experimentwise error rate, but it

generally has a higher Type II error rate than REGWQ.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 0.788432

Critical Value of Studentized Range 3.69762

Minimum Significant Difference 0.6567

Means with the same letter are not significantly different.

Tukey Grouping Mean N region

A 10.1159 25 se

B 8.7983 25 nw

B 8.7802 25 ne

B 8.6854 25 sw

ANOVA for tHappiness by Region 59

09:23 Monday, November 24, 2003

The ANOVA Procedure

Ryan-Einot-Gabriel-Welsch Multiple Range Test for thappiness

NOTE: This test controls the Type I experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 96

Error Mean Square 0.788432

Number of Means 2 3 4

Critical Range 0.5706166 0.5978862 0.6566502

Means with the same letter are not significantly different.

REGWQ Grouping Mean N region

A 10.1159 25 se

B 8.7983 25 nw

B 8.7802 25 ne

B 8.6854 25 sw