Exam 13: Analysis of Variance: Factorial Design

Data Set 13-3: -The degrees of freedom for MS_error in Data Set 13-3 would be

The numbers in the figure below are cell means. Tell whether the main effects appear to be significant or not and whether the interaction appears to be significant or not. 10 20 30 30 40 50 50 30 10

Dieters and nondieters participated in a study in which the dependent variable was the ounces of ice cream consumed. (Plenty was freely available and participants could consume the ice cream if they wanted to.) Half the participants had just been required to consume two small milk shakes and half had not. Analyze the data and tell what the study shows about dieters and nondieters. (Based on Hibscher & Herman, 1977) Dieters Nondieters 4.3 5.7 4.2 4.5 0 5.6 4.8 Milk shakes consumed 4.7 2.8 2 4.8 3.7 6.1 2.5 5.2 3.0

Restrictions and limitations for both one-way ANOVA and factorial ANOVA include

Data Set 13-9: Each point represents a mean based on 5 scores. -In Data Set 13-9, the main effect of A is not significant in

The factorial ANOVA described in Chapter 13 is appropriate when the cells have an unequal number of scores.

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. The number of independent variables in this design must have been

Data Set 13-4: The number in each cell is the mean of 5 participants on the Loose Label Political Opinion Poll (high scores = liberal, low scores = conservative). $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Socioeconomic Status }$ Low Medium High Major in Humanities 50 20 50 College Nat. Science 30 60 30 -In Data Set 13-4, an example of a main effect is

Which of the following is not a restriction on the factorial ANOVA' s you learned about in Chapter 13?

In a 3 x 6 factorial ANOVA with four participants per cell, the df for the interaction F is

Data Set 13-10: The bar graphs show the results of Experiment X and Experiment Y. Each bar is based on a sample of 8. -In Data Set 13-10, the main effect for A appears to be significant in Experiment

A histogram graphing an interaction that is not significant shows stairs with steps that are about equal.

Data Set 13-9: Each point represents a mean based on 5 scores. -In Data Set 13-9, there could be an interaction in

When the cell means of a factorial design are presented as a line graph, a nonsignificant interaction is indicated by

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 a test of the main effect of variable B would be based on df.

A factorial ANOVA can analyze two independent variables.

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. With ? = .05, the null hypothesis for the interaction should be

A follow-up Tukey HSD is not necessary for main effects when the F value is based on degrees of freedom.

Data Set 13-6: The numbers in the cells are means based on samples of 5 in each cell. Experiment X 5 10 10 5 Experiment 5 10 5 10 \ Experiment 5 5 5 10 -In Data Set 13-6, there could be an interaction in

The two effect size indexes described for factorial ANOVA were d and f.