Exam 13: Analysis of Variance: Factorial Design

A factorial ANOVA producesF tests.

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, there appears to be an interaction in Experiment

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 the factorial ANOVA of Data Set 13-4, the main effect that compares the political attitudes of low, medium and high socio-economic levels would appear to be

In a factorial experiment on two independent variables A and B, the sum of squares for A, the sum of squares for B, and the sum of squares for the interaction add up to

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

The sum of squares for cells is equal to the total sum of squares minus the sums of squares of A and B.

With respect to the number of independent variables, which of these designs is not like the others?

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?

One difference between a factorial ANOVA and a one-way ANOVA is that

With respect to independent- and repeated-measures designs covered in Chapters 10 through Chapter 13, which of the following doesn't belong with the others?

When a seam is backstitched it is stronger (it can stand an additional 10 pounds of pull). If the stitches are closer together (say setting 1 rather than setting 3), the stitch will stand an additional 6 pounds of pull. Suppose a sewer used close stitches and backstitched. Which of the following additional pounds of pull would indicate there is no interaction between the two techniques?

Two approaches to learning a list of words are rote rehearsal and elaborative rehearsal. In rote rehearsal, a person repeats the word over and over. With elaborative rehearsal, a person associates a mental image to the word. Some words have high imagery (such as truck and rose) and some have low imagery (such as honor and concept). The data below show the number of words correctly recalled from a high or low imagery list after using one of the rehearsal techniques. Perform a factorial ANOVA, compile a summary table, and write a conclusion.High Imagery, Rote Strategy: 8, 6, 5, 6High Imagery, Elaborative Strategy: 13, 10, 8, 15Low Imagery, Rote Strategy: 6, 5, 3, 4Low Imagery, Elaborative Strategy: 7, 5, 2, 3

Karl Lashley (1890-1958) was a student of John Watson. A more thorough scholar than Watson, Lashley is best known for his attempts to find the engram, the physical basis of memory. He used rats, brain extirpation, and mazes in many of his experiments. For these studies, he always included a sham operated group as a control-animals that were anesthetized, cut open, and then sewed up without damaging any brain tissue. For your problem, consider 18 rats, half of which were assigned to the frontal lobe group and half to the occipital lobe group. In each group one-third was given the sham operation, one-third had 20 percent of the lobe removed and one-third had 60 percent removed. Suppose that 30 days later all rats learned a Lashley Type III maze, which is fairly complicated. The number of errors of the animals in each group were:Frontal-0%: 18, 10, 15; Frontal-20%: 20, 12, 16; Frontal-60%: 35, 28, 30; Occipital-0%: 19, 12, 14; Occipital- 20%: 25, 20, 19; Occipital-60%: 63, 49, 57. Analyze these results.

Data Set 13-8: N = 10 for each cell. -In Data Set 13-8, there could be an interaction in

As long as the interaction is significant, interpretation of the main effects is straightforward.

Which of the following would be reason enough not to calculate a Tukey HSD?

To test some effects of layout design, participants spent the first part of an experiment reading the instructions on how to assemble a structure. The dependent variable was the number of minutes the participants spent reading the instructions before starting the assembly. The instructions were printed in small or large type with high contrast or low contrast. Contrast Low High 3 9 Small 0 8 Type 2 7 Size 10 11 Large 9 10 8 8 Construct an ANOVA summary table of results and state your conclusions about the effects of contrast and type size on reading time. Begin by listing the dependent and independent variables in this study.

You should not calculate a Tukey HSD when a factorial ANOVA shows a significant

The factorial ANOVA described in Chapter 13 is not appropriate when the cells have an unequal number of scores.

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 -The F value for the interaction in Experiment X of Data Set 13-6 would be based on degrees for freedom of _________ and _________ .