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. The number of levels of one of the independent variables was

If the interaction is significant, a Tukey HSD is appropriate.

If the interaction is not significant, a Tukey HSD is appropriate.

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. With $\alpha$ = .05 the null hypothesis for this interaction mean square should be

A significant interaction is characterized by lines that are not parallel.

Suppose the cell means for a factorial ANOVA are presented as a line graph. Which of the following would indicate there was no significant interaction?

Suppose a 2 x 4 factorial ANOVA with five scores per cell produced MS_AB = 225, and MS_error = 100 (where B is the 4 in the 2 x 4). With $\alpha$ = .01, a Tukey HSD for Factor B would

Drug A increases heart rate by eight beats per minute on the average. Drug B increases heart rate by 16 beats per minute on the average. Suppose both drugs were administered simultaneously. Which of the following changes in heart rate is not an illustration of an interaction?

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 -Data Set 13-2 has independent variables.

In addition to the assumptions that are required for a one-way ANOVA, the factorial ANOVA in your text also requires

If you clean the fuel injectors of a particular car, it increases the miles per gallon by two. Letting a driver skilled at increasing mpg take the car around the course increases mpg by four. Suppose the injectors were cleaned and a skilled driver drove the car. Which outcome below represents the one in which there is no interaction between the two variables?

In a factorial ANOVA, a comparison among the means of a factor is referred to as

Suppose a 5 x 6 factorial ANOVA with seven scores per cell produced MS_AB = 15, and MS_error = 10 (where A is the 5 in the 5 x 6). With $\alpha$ = .01, a Tukey HSD for Factor A would

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 -Which of the following qualify as dependent variables in Data Set 13-4?

An experimental psychologist thought that there was a relationship between people's problem-solving ability and their parents' attitudes toward authority. In addition, the psychologist thought that anxiety might affect problem-solving ability. In this experiment, 12 participants were chosen whose parents were authoritarian and 12 were chosen whose parents were very nonauthoritarian. Anxiety was manipulated in the experiment by the instructions given to the participants. There were three different sets of instructions. Each participant solved a set of complex problems. The time to solve the problem was the dependent variable. Analyze the scores with a factorial ANOVA and interpret the results.

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. -The degrees of freedom for the interaction in Experiment Y in Data Set 13-10 are

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. -The number of factors in Data Set 13-7 is

A cell in a factorial ANOVA refers to

A factorial ANOVA produces three F values.

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 -Data Set 13-2 is an example of