12 May Please write up and interpret the results for the following repeated measures ANOVA, using the Activity 6.sav data set. Score_0 through Score _12 is the repeated measure (7 levels) and gender is a fixed factor. Discuss especially both main effects and the presence/absence of an interaction between the two. All of the relevant data is given below. Within-Subjects Factors Measure: MEASURE_1 Score Dependent Variable 1 Score_0 2 Score_2 3 Score_4 4 Score_6 5 Score_8 6 Score_10 7 Score_12 Between-Subjects Factors Value Label N Gender F Female 8 M Male 4 Descriptive Statistics Gender Mean Std. Deviation N Pre-test score Female 28.25 8.172 8 Male 32.25 19.432 4 Total 29.58 12.221 12 Week 2 score Female 29.75 6.319 8 Male 39.75 13.889 4 Total 33.08 10.113 12 Week 4 score Female 33.63 5.181 8 Male 39.00 16.432 4 Total 35.42 9.885 12 Week 6 score Female 35.88 6.556 8 Male 35.25 17.802 4 Total 35.67 10.671 12 Week 8 score Female 39.38 5.370 8 Male 41.00 16.633 4 Total 39.92 9.718 12 Week 10 score Female 44.88 5.743 8 Male 47.25 13.961 4 Total 45.67 8.690 12 Week 12 score Female 48.38 8.518 8 Male 53.25 13.793 4 Total 50.00 10.189 12 Multivariate Testsa Effect Value F Hypothesis df Error df Sig. Score Pillai’s Trace .961 20.439b 6.000 5.000 .002 Wilks’ Lambda .039 20.439b 6.000 5.000 .002 Hotelling’s Trace 24.526 20.439b 6.000 5.000 .002 Roy’s Largest Root 24.526 20.439b 6.000 5.000 .002 Score * Gender Pillai’s Trace .491 .804b 6.000 5.000 .607 Wilks’ Lambda .509 .804b 6.000 5.000 .607 Hotelling’s Trace .965 .804b 6.000 5.000 .607 Roy’s Largest Root .965 .804b 6.000 5.000 .607 a. Design: Intercept + Gender Within Subjects Design: Score b. Exact statistic Mauchly’s Test of Sphericitya Measure: MEASURE_1 Within Subjects Effect Mauchly’s W Approx. Chi-Square df Sig. Epsilonb Greenhouse-Geisser Huynh-Feldt Lower-bound Score .001 56.876 20 .000 .441 .674 .167 Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a. Design: Intercept + Gender Within Subjects Design: Score b. May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. Tests of Within-Subjects Effects Measure: MEASURE_1 Source Type III Sum of Squares df Mean Square F Sig. Score Sphericity Assumed 3246.536 6 541.089 20.609 .000 Greenhouse-Geisser 3246.536 2.646 1227.164 20.609 .000 Huynh-Feldt 3246.536 4.045 802.659 20.609 .000 Lower-bound 3246.536 1.000 3246.536 20.609 .001 Score * Gender Sphericity Assumed 182.155 6 30.359 1.156 .342 Greenhouse-Geisser 182.155 2.646 68.853 1.156 .341 Huynh-Feldt 182.155 4.045 45.035 1.156 .344 Lower-bound 182.155 1.000 182.155 1.156 .307 Error(Score) Sphericity Assumed 1575.321 60 26.255 Greenhouse-Geisser 1575.321 26.456 59.546 Huynh-Feldt 1575.321 40.447 38.948 Lower-bound 1575.321 10.000 157.532
cowing repeated measures ANOVA, using the Activity 6.sav data set. Score_0 through Score _12 is the repeated measure (7 levels) and gender is a fixed factor. Discuss especially both main effects and the presence/absence of an interaction between the two.
All of the relevant data is given below.
Within-Subjects Factors |
|
Measure: MEASURE_1 | |
Score | Dependent Variable |
1 | Score_0 |
2 | Score_2 |
3 | Score_4 |
4 | Score_6 |
5 | Score_8 |
6 | Score_10 |
7 | Score_12 |
Between-Subjects Factors | |||
Value Label | N | ||
Gender | F | Female | 8 |
M | Male | 4 |
Descriptive Statistics | ||||
Gender | Mean | Std. Deviation | N | |
Pre-test score | Female | 28.25 | 8.172 | 8 |
Male | 32.25 | 19.432 | 4 | |
Total | 29.58 | 12.221 | 12 | |
Week 2 score | Female | 29.75 | 6.319 | 8 |
Male | 39.75 | 13.889 | 4 | |
Total | 33.08 | 10.113 | 12 | |
Week 4 score | Female | 33.63 | 5.181 | 8 |
Male | 39.00 | 16.432 | 4 | |
Total | 35.42 | 9.885 | 12 | |
Week 6 score | Female | 35.88 | 6.556 | 8 |
Male | 35.25 | 17.802 | 4 | |
Total | 35.67 | 10.671 | 12 | |
Week 8 score | Female | 39.38 | 5.370 | 8 |
Male | 41.00 | 16.633 | 4 | |
Total | 39.92 | 9.718 | 12 | |
Week 10 score | Female | 44.88 | 5.743 | 8 |
Male | 47.25 | 13.961 | 4 | |
Total | 45.67 | 8.690 | 12 | |
Week 12 score | Female | 48.38 | 8.518 | 8 |
Male | 53.25 | 13.793 | 4 | |
Total | 50.00 | 10.189 | 12 |
Multivariate Testsa | ||||||||||||||
Effect | Value | F | Hypothesis df | Error df | Sig. | |||||||||
Score | Pillai’s Trace | .961 | 20.439b | 6.000 | 5.000 | .002 | ||||||||
Wilks’ Lambda | .039 | 20.439b | 6.000 | 5.000 | .002 | |||||||||
Hotelling’s Trace | 24.526 | 20.439b | 6.000 | 5.000 | .002 | |||||||||
Roy’s Largest Root | 24.526 | 20.439b | 6.000 | 5.000 | .002 | |||||||||
Score * Gender | Pillai’s Trace | .491 | .804b | 6.000 | 5.000 | .607 | ||||||||
Wilks’ Lambda | .509 | .804b | 6.000 | 5.000 | .607 | |||||||||
Hotelling’s Trace | .965 | .804b | 6.000 | 5.000 | .607 | |||||||||
Roy’s Largest Root | .965 | .804b | 6.000 | 5.000 | .607 | |||||||||
a. Design: Intercept + Gender
Within Subjects Design: Score |
||||||||||||||
b. Exact statistic | ||||||||||||||
Mauchly’s Test of Sphericitya |
||||||||||||||
Measure: MEASURE_1 | ||||||||||||||
Within Subjects Effect | Mauchly’s W | Approx. Chi-Square | df | Sig. | Epsilonb | |||||||||
Greenhouse-Geisser | Huynh-Feldt | Lower-bound | ||||||||||||
Score | .001 | 56.876 | 20 | .000 | .441 | .674 | .167 | |||||||
Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. | ||||||||||||||
a. Design: Intercept + Gender
Within Subjects Design: Score |
||||||||||||||
b. May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. | ||||||||||||||
Tests of Within-Subjects Effects | ||||||
Measure: MEASURE_1 | ||||||
Source | Type III Sum of Squares | df | Mean Square | F | Sig. | |
Score | Sphericity Assumed | 3246.536 | 6 | 541.089 | 20.609 | .000 |
Greenhouse-Geisser | 3246.536 | 2.646 | 1227.164 | 20.609 | .000 | |
Huynh-Feldt | 3246.536 | 4.045 | 802.659 | 20.609 | .000 | |
Lower-bound | 3246.536 | 1.000 | 3246.536 | 20.609 | .001 | |
Score * Gender | Sphericity Assumed | 182.155 | 6 | 30.359 | 1.156 | .342 |
Greenhouse-Geisser | 182.155 | 2.646 | 68.853 | 1.156 | .341 | |
Huynh-Feldt | 182.155 | 4.045 | 45.035 | 1.156 | .344 | |
Lower-bound | 182.155 | 1.000 | 182.155 | 1.156 | .307 | |
Error(Score) | Sphericity Assumed | 1575.321 | 60 | 26.255 | ||
Greenhouse-Geisser | 1575.321 | 26.456 | 59.546 | |||
Huynh-Feldt | 1575.321 | 40.447 | 38.948 | |||
Lower-bound | 1575.321 | 10.000 | 157.532 |
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