Fear and Anxiolytic Drug One Factor ANOVA Computation and SPSS

One of the many complications in the lives of persons who have Alzheimer's disease is that they tend to suffer from frequent periods of intense agitation. Some investigators have theorized that this agitation stems from old aversive conditionings—the conditioned fears and anxieties that a person accumulates over the course of his or her life—with which the Alzheimer's patient is no longer able to cope, on account of severely diminished cognitive capacities.

Against this background, a team of investigators has developed an experimental medication that they believe will substantially decrease the effects of old aversive conditionings. As a preliminary test of the medication, they trained 20 laboratory rats, by standard aversive conditioning procedures, to flee from a certain visual stimulus. These 20 subjects were then randomly and independently sorted into k=4 groups—A, B, C, and D—of 5 subjects each. In the subsequent experimental procedure, the members of each group received via sub-cutaneous injection one or another of four dosage levels of the medication. The members of group A, serving as a control group, received only an inert placebo containing zero units of the medication, while the members of groups B, C, and D received 1 unit, 2 units, and 3 units of the medication, respectively. Let's assume these dose levels are equally spaced units. Five minutes after receiving its injection, each subject was then presented with the aversively conditioned stimulus, and a measure was taken of how hard the subject pulled against a restraining harness in trying to move away from the stimulus. The smaller the pull, the smaller the degree of agitation presumed to be occasioned by the aversive stimulus.

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1. State the Statistical Hypotheses
2. Setting alpha to .05, what is the F critical value?
3. Conduct a one-factor ANOVA for this problem by hand; show all of your work. Complete the ANOVA table.
4. Conduct a one-factor ANOVA for this problem using SPSS.
5. Evaluate the Normality assumption using SPSS. Construct an Error Bar Plot using SPSS.
6. Using the ANOVA Table, calculate and interpret the effect size.
7. State the statistical conclusion. Interpret the results as they relate to the research hypothesis.
8. Extra credit, use SPSS to conduct Tukey HSD tests for the specific doses. Interpret the tests as they relate to the research hypotheses.

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