1.Which of the following would cause F_obt to increase?

a.an increase in the difference between the means

b.an increase in the within-groups variability

c.an increase in the magnitude of the independent variable's effect

d.a and c

2.If df_B = 6 and df _W = 12, using a = 0.05, F_crit = ______.

a.19.42b.4.60 c.3.74d.3.00

3. Using the Fischer's LSD test, if there are 16 df associated with MS within, and a = 0.05 and the number of groups = 3, the critical t we would use to calculate our critical difference is

a.2.12b.3.00c.3.65d.4.79

4.Using the Tukey test, if there are 16 df associated with MS within, and a = 0.05 and the number of groups = 5, Q_crit = ______.

a.4.13b.3.00c.4.33d.4.79

5. Using the Neuman Keuls test, if there are 18 df associated with MS within, and a = 0.05 and the number of groups = 6, what would be our Q_crit to evaluate means that are FIVE steps apart?

a.4.28b.3.00c.3.65d.4.79

6. Using the Bonferroni t-test, if there are 16 df associated with MS within, and a = 0.05 and the number of comparisons we want to make is 5, the critical t we would use to calculate our critical difference is

a.2.12b.3.00c.3.65d.2.92

7. If the variability of the cell means around the grand mean is no greater than

you would expect by chance, then you would expect your F ratio to be equal to ?

a. 10

b.0

c. 2.34

d. 1.00

8. Which of the following assumptions of the analysis of variance if violatedis especially problematic if you have unequal sample sizes.

a. normality

b. homogeneity of variance

c. independence

d. odd numbers

9. (4 points)

SourceSSdfMSF

Between Groups203.3332101.66722.59

Within Groups54124.5

1. Which of the numbers above represents the variability of the group means around the grand mean?

2. Which of the above numbers is the average variance within the groups?

3. What is the critical F needed for significance given the situation above?

4. Assuming = cell frequencies, how many subjects in each group for the data above?

10. (20 points) The means below are from a hypothetical study of the role of drive level and drugs on the learning performance of monkeys with four monkies in each group. . 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 results of the analysis of variance are presented below.

SourceSSdfMSF

Factor A(Drug)112.00256.003.06

Factor B (Motivation) 24.00124.001.31

A x B144.00272.003.93*

MS (error)330.001818.33

1. Which number above is the average variance within each of the groups?

1. What number above is the variability of the main effect drug means around the grand mean ?

1. What number is the variability of the cell means around the grand mnean after you have removed the variability due to the main effects.________

1. Given that this is a 2 (Motivation) x 3(Drug)analysis with 18 within groups df, how many df are in each group? ________

1. (2 points) What is omega squared for Factor A(Drug)? (show your work below)

1. (2 points) What is omega squared for Factor B (Motivation)? (show your work below)

1. (2 points) What is omega squared for the interaction of drug x motivation? (show your work below).

The interaction is significant. For the significant interaction, test the simple effect of Motivation (food deprivation-one hour vs. 24 hours) at each level of drug 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

Tukey'S CD=

Fisher's LSD =

What conclusions

11. (20 points)

An experimenter is investigating the effects of two drugs on the activity of rats. Drug A is a depressant, and Drug B is a stimulant. Half of the subjects receiving either drug are given a low dosage and half a high dosage. The experimenter also runs a control group that is given an injection of an inert substance such as a saline solution. Five different groups are represented in the experiment, each containing n=4 rats assigned randomly from the stock of laboratory rats on hand. The animals are injected and then their activity is observed for a fixed period of time. The treatment means for the groups are presented below.

Drug ADrug B

ControlLow HighLow High

A1A2A3A4A5

1513.758.016.523.0

MS within= 37.00

Conduct subsequent pairwide comparisons using the LSD, Neuman Keuks, Tukey, and Bonferroni. Show your work how you arrived at each critical difference and write out conclusions separately for each test.