Tests of Sphericity, Within-Subjects and Between Subjects Effects
Added on 2021-05-30
12 Pages1982 Words320 Views
1Research Methods IIQuantitative Research MethodsApplied Data Analysis (with SPSS)Task 10: Repeated Measure of ANOVA
2Table of ContentsTask 2..........................................................................................................................................................3Part I: Descriptive Statistic.......................................................................................................................3Part II: Box’s Test.....................................................................................................................................4Part III: Multivariate Test.........................................................................................................................4Part IV: Mauchly's Test of Sphericity.......................................................................................................5Part V: Tests of Within-Subjects Effects...................................................................................................5Part VI: Levene’s Test..............................................................................................................................6Part VIl: Test of Between Subjects Effects...............................................................................................6Part VIII: Multivariate Tests.....................................................................................................................6Post Hoc Test of Treatments:..................................................................................................................7Conclusion...................................................................................................................................................8Divertimento Task.......................................................................................................................................8Appendix...................................................................................................................................................10
3Task 2Syntax (SPSS)GLM week1 week2 week3 BY treatment /WSFACTOR=week 3 Polynomial /METHOD=SSTYPE(3) /POSTHOC=treatment(BONFERRONI) /PLOT=PROFILE(treatment*week) /EMMEANS=TABLES(week) COMPARE ADJ(BONFERRONI) /PRINT=DESCRIPTIVE ETASQ HOMOGENEITY /CRITERIA=ALPHA(.05) /WSDESIGN=week /DESIGN=treatment.Part I: Descriptive StatisticInitially, the between subject factors (treatment) were summarized for each level of within subject factor (week). Average total creativity scores for all the three treatments gradually increased with time (week). Table 1: Descriptive Statistics for treatmentstreatmentMeanStd.DeviationNweek1148.202.2805249.002.2365349.602.0745Total48.932.12015week2152.201.3045250.001.5815348.801.9245Total50.332.09315week3156.001.5815254.001.5815356.801.3045Total55.601.84415
4Part II: Box’s TestThe Box’s test result was statistically insignificant as p value was greater than 0.001. Hence, theassumption of repeated ANOVA has been met. So it was assumed that the observed covariancematrices of the dependent variables are equal across groups.Table 2: Box's Test of Equality of Covariance MatricesaBox's M12.145F.629df112df2697.846Sig..818Part III: Multivariate TestWilk’s lambda signified that with respect to week, the change in creativity score was significant, but when combined with the treatment type change seemed to be statistically insignificant with pvalue level as 0.05.Part IV: Mauchly's Test of SphericitySphericity assumption was met for repeated measure ANOVA with p value (0.15) greater than 0.05. Part V: Tests of Within-Subjects EffectsAssuming sphericity, it was observed that creativity scores significantly increase with respect totime, which was weeks in this study. But, when composite effect of week with treatment levelswas considered, the result became statistically insignificant with p value (0.054) greater than0.05. Hence creativity across treatment group was not statistically increasing with time.
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