Hello, I need help with answering these questions for this two-way ANOVA.

a) How many levels are there in Factor A (method)? How many levels are there in Factor B (gender)?

b) What is the shorthand notation for this factorial design? (e.g., 2x2, 3x3 etc.)

c) Is Ethel hypothesizing a significant main effect or interaction? How do you know?

d) Examine the means in the Descriptives table. Do the numbers suggest that there are gender differences within each levels of note-taking conditions? If so, who has higher changes in GPA, men or women?

e) What is the sig. or p value of the Levene's test?Is the homogeneity of variance assumption met?

f) What is the result of the two-way ANOVA? Report the F, df, p, and eta squared values in psychology format for the three F tests (two main effects and one interaction).

g) Can you reject the null hypothesis for main effect of Factor A and Factor B? Can you reject the null hypothesis for the AxB interaction? Interpret the results for each of the F tests and effect size.

h) Report which note-taking groups differed significantly base on the post hoc comparisons for Factor A (method). Why don't we need to do post hoc for Factor B (gender)?

i) Examine the plots. Do the lines indicate that there is an interaction? How do you know?

Between-Subjects Factors Value Label N Note-Taking methods 1 Method 1 20 2 Method 2 20 3 Control 20 Gender 1 Men 30 2 Women 30 Descriptive Statistics Dependent Variable: Change in GPA Note-Taking methods Gender Mean Std. Deviation N Method 1 Men 3350 22858 10 Women 1700 18288 10 Total 2525 21853 20 Method 2 Men 3050 19214 10 Women 6400 17764 10 Total 4725 .24893 20 Control Men 1650 14916 10 Women 1050 14615 10 Total 1350 14699 20 Total Men .2683 20064 30 Women .3050 .29254 30 Total .2867 .24938 60 Levene's Test of Equality of Error Variancesa,b Levene Statistic df1 df2 Sig. Change in GPA Based on Mean 575 5 54 719 Based on Median 472 54 796 Based on Median and 472 45.425 795 with adjusted df Based on trimmed mean 569 5 54 724 Tests the null hypothesis that the error variance of the dependent variable is equal across groups. a. Dependent variable: Change in GPA b. Design: Intercept + method + gender + method * genderTests of Between-Subjects Effects Dependent Variable: Change in GPA Type Ill Sum Partial Eta Source of Squares df Mean Square F Sig. Squared Corrected Model 1.889 5 378 11.463 <.001 intercept method n .397 gender .281 error total corrected a. r squared=".515" estimated marginal means note-taking methods dependent variable: change in gpa confidence interval mean std. lower bound upper .391 control .054 men women .033 .239 .3713. .057 post hoc tests multiple comparisons tukey hsd difference j sig .2200 .3584 .0816 .05741 .3375 based on observed means. the term is square .033. significant at .05 level.change hsda.b subset sig. for groups homogeneous subsets are displayed. uses harmonic sample size="20.000." b. alpha=".05." profile plots of .20>