Question: Hypothesis testing with ANOVA #3 - Classical approach : Mental health professionals often use structured interviews when diagnosing patients. A director of a mental health clinic would like to compare the effectiveness of three different diagnostic interviews in diagnosing depression: the Diagnostic Interview Schedule (DIS), which was specifically developed for use by lay interviewers; the Schedule for Affective Disorders and Schizophrenia (SADS); and the Composite International Diagnostic Interview (CIDI), which is a structured diagnostic interview designed to be used by trained interviewers who are not clinicians. The clinic director performs an experiment in which 39 clinical psychology interns are randomly assigned to three groups: the first consisting of 13 interns, the second 15 interns, and the third 11 interns. Interns in the first group are trained to diagnose patients using DIS, interns in the second group are trained to diagnose patients using SADS, and interns in the third group are trained to diagnose patients using CIDI. After training, each intern’s diagnostic accuracy is recorded using a 7-point scale. The sample size, total, mean, and 2(x2) for the diagnostic accuracy scores for each of the three groups are presented in the table below.

The three diagnostic interviews define three populations of interest. You will use analysis of variance (ANOVA) to test the hypothesis that the three population means are equal. The results of your analysis will be presented in the ANOVA table below.

Go through the following steps to complete the ANOVA table.

1. Enter the value of the sum of squares due to factor, the sum of squares due to error, and then the total sum of squares in the ANOVA table.
2. Enter all of the degrees of freedom in the ANOVA table.
3. Enter the values of the mean square for factor, the mean square for error, and the F-test statistic in the ANOVA table.

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