Exam 13: Analysis of Variance: Factorial Design

Data Set 13-1: An F value of 2.75 was obtained when an interaction mean square was divided by a error mean square. The degrees of freedom were 6 and 18. -Refer to Data Set 13-1. This could be an example of

Which of the following designs have two factors?

Data Set 13-9: Each point represents a mean based on 5 scores. -In Data Set 13-9, the main effect of B could be significant in

Data Set 13-2 Numbers in the cell are means based on 8 scores for each cell. A 10 20 30 B 40 50 60 50 30 10 -In Data Set 13-2 the interaction appears to be

A 4 x 5 factorial ANOVA with six scores per cell produced a MS_AB = 40 and a MS_error = 20. For the factor with 5 levels and $\alpha$ = .05, a Tukey HSD would

Which of the following descriptions of a line graph of cell means would indicate a significant interaction in a factorial ANOVA? Two lines that

"The means of the populations from which the samples were drawn are identical."This is a statement

When the cell means from a factorial design are presented as a line graph, a significant interaction would be suspected if the lines

In a 5 x 6 factorial design with four observations per cell, the df for the interaction F would be

The sum of squares for cells is equal to the sum of the sums of squares of A, B, and AB.

The term main effect refers to a comparison of

A 3 x 3 factorial ANOVA with nine scores per cell produced a MS_AB = 54 and a MS_error = 17. For either factor with 3 levels and $\alpha$ = .05, a Tukey HSD would

Data Set 13-8: N = 10 for each cell. -In Data Set 13-8, the main effect of B could be significant in

A 4 x 5 factorial ANOVA with six scores per cell produced a MS_AB = 35 and a MS_error = 20. For the factor with 5 levels and $\alpha$ = .05, a Tukey HSD would

A 2 x 3 factorial ANOVA with nine scores per cell produced a MS_AB = 18.75 and a MS_error = 7.5. For the factor with 3 levels and $\alpha$ = .05, a Tukey HSD would

Data Set 13-3: -For any graph in Data Set 13-3 there are independent variables.

SS_tot is equal to

An interaction occurs when both main effects in a factorial ANOVA show a significant difference.

Data Set 13-5: An F value of 2.75 was obtained when an interaction mean square was divided by a error mean square. The degrees of freedom were 4 and 24. -Refer to Data Set 13-5. This could be an example of a

Data Set 13-7: A political scientist reported a study on attitudes toward increasing military expenditures. The attitudes of four groups were reported: US Army officers, corporate managers, public school teachers, and assembly-line workers. Within each of the categories, those under age 35 were tabulated separately from those over 35. A factorial ANOVA on the data produced a significant interaction; the main effect for age was not significant. -Data Set 13-7 is an example of a ANOVA.