Q2. More One-Way ANOVA analysis(10 points total)

Last week (M3), we performed a t test tocompare males and females in terms of their age at the first testing session (age1). This question could also be answered by a one-way ANOVA: let's now perform the ANOVA. (Note the dataset is different compared with that from last module's assignment. Thus, you may receive different results!)

Q2A. What is the null hypothesis (in words)? (1 point) (note: if you got this incorrect in the M3 assignment, be sure to correct before copying the null hypothesis here!)

There is no difference between male and female age at first testing.

Q2B. Paste the Test of Homogeneity of Variances table here.(No credit is earned for Q2B if table is not pasted)

Check this box once you have pasted your Test of Homogeneity of Variances table below:

Q2B1. Was the test for homogeneity of variances significant?(1 point)

Q2B2. What does it tell us about the ANOVA assumption of equal variances among the groups?(1 point)

Q2D. Would you reject the null hypothesis? What is the answer to the research question?(2 points, 1 for each answer)

Decision:

Answer to research question:

Q3. Perform and interpret a one-way repeated-measures ANOVA(7 points total)

Q3A.Determine if the assumption of sphericity has been met by our data. Report the test of sphericity result (p value) and explain whether the assumption is met. Be sure to paste the relevant output tables here

p value:

Explanation about assumption:

Q3C.What is the answer to the research question based on the test result?

(1 point)

Q3D. Request simple contrasts for the variable of "session" if you did not do so when you ran the ANOVA. Examine the contrasts and discuss your observation regarding any significant difference (or lack of difference) between the different sessions, citing p values to support your answer.

Session 1 vs. session 3:

Session 2 vs. session 3:

Mauchly's Test of Sphericitya Measure: MEASURE 1 Epsilonb Within Subjects Mauchly's Approx. Greenhous Huynh- Lower- Effect W Chi-Square df Sig. e-Geisser Feldt bound Color 707 6.249 2 044 773 829 500 Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a. Design: Intercept Within Subjects Design: Color 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 Type Ill Sum Mean Partial Eta Source of Squares df Square F Sig. Squared Color Sphericity 2563.880 2 1281.940 44.290 <.001 assumed greenhouse- geisser huynh-feldt .700 lower-bound error sphericity r of within-subjects contrasts measure: measure type ill sum mean partial eta source color squares df square f sig. squared level vs.>