Table 2.14 classifies a sample of psychiatric patients by their diagnosis and by whether their treatment prescribed drugs.

a. Report the P-value for a test of independence, and interpret the result.

b. Calculate adjusted residuals, and interpret.

c. Partition chi-squared into three components to describe differences and similarities among the diagnoses, by comparing (i) the first two rows, (ii) the third and fourth rows, (iii) the last row to the first and second rows combined and the third and fourth rows combined.

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Table 2.14 Diagnosis Schizophrenia Affective disorder Neurosis Personality disorder Special symptoms Drugs 105 28 12 18 47 0 No Drugs 8 19 2025 13 Source: E. Helmes and G. C. Fekken, J. Clin. Psychol., 42: 569-576 (1986). Clinical Psychology Publishing Co., Inc., Brandon, VT. Reproduced with permission of the publisher.