Assume you are hoping to submit a grant proposal to investigate dose-response re

Question

Assume you are hoping to submit a grant proposal to investigate dose-response relationships in a psychopharmacological study of depression, planning to pursue your work in New Mexico, where psychologists were recently granted prescription privileges. From the range of acceptable dosages of your favorite antidepressant, you select three dosages at random for investigation. Four psychologists are available for the study, and you regard them as representative of the pool of psychologists who might eventually be granted prescription privileges. Each psychologist in your pilot study prescribes each of the three dosage levels to an equal number of patients. When scores on a depression scale are gathered at the end of the study and analyzed, the following mean squares are obtained, with the associated degrees of freedom shown in the following table (the DOF error has been pre-filled for you). How many patients did each psychologist use in the study? Complete the ANOVA and suggest whether the factors and interaction are significant.

Explanation / Answer

i) Each psychologist sue 15 patients in the study

ANOva df

Drug dosage = 3-1= 2

Pshychologist = 4-1 = 3

Drug*psychologist = 2*3 = 6

Total = 59

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