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. Prom 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). (i) How many patients did each psychologist use in the study? (ii) Complete the ANOVA and suggest whether the factors and interaction are significant

Explanation / Answer

i) The total number patients in the study is 60

  The total number patients each psychologist use in the study is 15

ii)

Here F-value of drug > F-critical value, so we reject H0 i.e. significant

F-value of Psychologist > F-critical value, so we reject H0. i.e. significant

F-value of interaction > F - critical value, so we reject H0, i.e. significant

Source df Sum of square mean Square F F-critical Drug 2 3 1.5 72 3.190727 Psychologist 3 2 0.666666667 32 2.798061 drug * psychologist 6 1 0.166666667 8 2.294601 Error 48 1 0.020833333 Total 59 7

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