A researcher designs an experiment and plans to use a two-factor factorial ANOVA

Question

A researcher designs an experiment and plans to use a two-factor factorial ANOVA to evaluate her results. The researcher is interested in evaluating the effects of gender on student aptitude as a function three different social conditions. The dependent variable of student aptitude is measured by The Student's Aptitude Test. The two levels of factor A(gender) are: male and female. The three levels of factor B (social conditions) are: taking the alone, taking the test with just the professor in the room, and finally taking the test normally with the professor and all other students in the room. To evaluate the effect of these conditions on student aptitude, the researcher randomly selects separate samples of n = 10 males and n = 10 females (N = 20) and then exposes each participant (both males and females) to each of the levels of factor B, measuring their aptitude each time. Given the above scenario, what is the correct type of factorial ANOVA design that this study should follow? a. fully independent factorial ANOVA design b. fully repeated measures factorial ANOVA design c. one-way factorial ANOVA design d. mixed factorial ANOVA design In the above scenario, which of the following are TRUE about how each factor is being manipulated? a. both factors A and B are between-subjects factors b. both factors A and B are within-subjects factors c. factor A is a within-subjects factor and factor B is a between-subjects factor d. factor B is a within-subjects factor and factor A is a between-subjects factor What differs in the analysis of variance in one versus two-factor ANOVAs (independent measures)? a. two-factor ANOVAs analyze within treatments variance b. two-factor ANOVAs analyze between subjects variance c. two-factor ANOVAs even further breakdown and analyze between treatments variance d. none of the above Using an independent measures 2 times 2 factorial ANOVA with n = 8 in each treatment condition, a researcher reports that a significant main effect of Factor B is present. Based on this information, which of the following statistical notations should the research report in his findings? a. F(1, 28) = 5.50, p .05, r^2 = .56 c. F(1, 28) = 5.50, p > .05, eta^2 = .56 d. F (1, 28) = 5.50, p

Explanation / Answer

These as the correct choices for the respective questions:

8) d) Mixed factorial ANOVA design

9) c) Factor A is within subjects factor and Factor B is a between subjects factor

10) b) Two factor ANOVA analyses between subject variance

11) a) F(1,28)=5.50, p<0.50, r2=.56

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