Exam 14: Using Designs With More Than One Independent Variable and Two-Way Between-Subjects Anova

In a study with three levels of factor A, three levels of factor B, and 6 subjects in each condition, df_A and df_B would be _____ and _____, respectively.

When graphed, a significant interaction will definitely have _____.

In a two-way factorial ANOVA, the formula for calculating SS_A×B is:

In a two-way factorial ANOVA, the formula for calculating SS_Total is:

The following ANOVA table corresponds to an experiment with two IV's; 1) Time of Day (Morning or Afternoon) and 2) Room Temperature (Cool, Normal, or Warm). The productivity level (on a 0-100 scale) of employees during the morning or afternoon is measured in either cool, normal, or warm working conditions. This is a completely between-subjects design. The corresponding means for each group are as follows: Cool Temp/Afternoon - 55 Cool Temp/Morning - 100 Normal Temp/Afternoon - 60 Normal Temp/Morning - 60 Warm Temp/Afternoon - 50 Warm Temp/Morning - 10 Construct the matrix showing the means in each cell, give the factorial notation, fill in the ANOVA table, draw a graph showing the results, calculate Tukey's HSD if appropriate, and draw conclusions concerning this study. There are 10 subjects in each cell (condition).

According to the experiment discussed in the text [i.e., 2 IV's: Word Type (Concrete vs. Abstract) and Rehearsal Type (Elaborative vs. Rote) and one DV: % of words recalled correctly], show the graph for the experimental results of NO main effect of rehearsal, NO interaction effect, and NO main effect of Word Type. Hint: First, construct a matrix of what you think the cell means should be. It might help you.

In a two-way factorial ANOVA, the formula for calculating SS_Error is:

An experiment with four variables each with two levels is a _____ factorial design.

In a two-way factorial ANOVA, the formula for calculating SS_{Factor B} is:

A two-way ANOVA has _____, and a three-way ANOVA has _____.

In a two-way factorial ANOVA, the formula for calculating SS_{Factor A} is:

In a study with three levels of factor A, three levels of factor B, and 6 subjects in each condition, the df_AxB would be:

An experiment with two variables each with three levels is a _____ factorial design.