(20 points) The means below are from a hypothetical study of the role of drive level and drugs on the learning performance of monkeys. The animals are given a series of 20 "oddity" problems. In this task, three objects (two of the same, one different). Are presented to the monkeys, and the subjects task is to learn to select the non-duplicated or odd object. A food reward is placed in a food well underneath the correct object. A trial consists of the presentation of three objects and the monkey's selection of one of them. The response measure Y is the number of errors in 20 trials of training. One of the independent variables Factor A consists of a Control and two Drug conditions, and the other variable Factor B is the drive level of animals, either 1 hour of food deprivation of 24 hours of food deprivation. Four moneys are randomly assigned to each treatment combination. The mean number of errors for each condition are presented below along with the results of the analysis of variance.

SourceSSdfMSF

Factor A(Drug)112.00256.003.06

Factor B (Motivation) 24.00124.001.31

A x B144.00272.003.93

S/AB (error)330.001818.33

1. Fill in the values for ²and Cohen's F for the main effect of drug, main effect of motivation and interaction.
2. What value from the anova table above is the denominator of all F ratios? _________
3. What value from the anova table above variance among the main effect means of drug?________
4. What value from the anova table above is the variance due to chance? _________
5. What value from the anova table above is the variance among the six group means that remains after subtracting the variance due to the main effects? ________

The interaction is significant. For the significant interaction, test the simple effect of Drug at each level of Motivation (1 hour and 24 hrs)using the Tukey and the Fischer's LSD and write out your conclusions separately for each test.

ControlDrug XDrug Y

One Hour3.0010.0014.00

24 Hour11.0012.0010.00

3.0010.0014.0010.0011.0012.00

3.00----71110.0011.0012.00

10.0--10--12

14.04.011---1

12--

Tukey Critical difference=

Fisher's LSD critical difference =

What are the conclusions for the Tukey test. . (Tell me which means are =, < or > each other)

So for the one hour:

AT 24 hours:

What are the conclusions for the LSD test. (Tell me which means are =, < or > each other)

So for the one hour:

AT 24 hours: