# hw3 - Homework 3 Solution to Additional Problems 1...

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Homework 3 Solution to Additional Problems 1. Between-Subjects Factors N ORDED 1 21 2 28 3 11 4 6 Descriptive Statistics Dependent Variable: INCOME ORDED Mean Std. Deviation N 1 12.76 4.625 21 2 18.00 9.018 28 3 27.00 7.655 11 4 35.83 16.005 6 Total 19.45 10.903 66 3. Both the population means and variances appear to be different. 5. Tests of Between-Subjects Effects Dependent Variable: INCOME Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 3235.721(a) 3 1078.574 14.891 .000 Intercept 25696.201 1 25696.201 354.774 .000 ORDED 3235.721 3 1078.574 14.891 .000 Error 4490.643 62 72.430 Total 32706.000 66 Corrected Total 7726.364 65 a R Squared = .419 (Adjusted R Squared = .391) 6. H0: u1=u2=u3=u4 F statistic is 14.891 P value is .000 Thus we reject H0. 7. Multiple Comparisons Dependent Variable: INCOME Bonferroni

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(I) ORDED (J) ORDED Mean Difference (I- J) Std. Error Sig. 95% Confidence Interval Lower Bound Upper Bound 1 2 -5.24 2.457 .222 -11.93 1.46 3 -14.24(*) 3.168 .000 -22.87 -5.60 4 -23.07(*) 3.940 .000 -33.81 -12.33 2 1 5.24 2.457 .222 -1.46 11.93 3 -9.00(*) 3.028 .025 -17.25 -.75 4 -17.83(*) 3.829 .000 -28.27 -7.40 3 1 14.24(*) 3.168 .000 5.60 22.87 2 9.00(*)
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hw3 - Homework 3 Solution to Additional Problems 1...

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