Brown (1980) presents data that are reproduced in Table 8.5, on a cross-classification of 53 prostate cancer patients. The factors are acid phosphatase level in the blood serum, age, stage, grade, x-ray, and nodal involvement. Acid level and age are categorized as high or low. Stage is an indication of size and location of the tumor; a positive value is more serious. The grade and x-ray indicate whether biopsy and x-ray tests are positive for cancer. The final factor is the whether the lymph nodes are involved. Analyze the data using iterative proportional fitting and ANOVA type models.

TABLE 8.5. Nodal Involvement in Prostate Cancer Low Acid Grade − +
X−ray − + − +
Involvement No Yes No Yes No Yes No Yes Low − 40101100 Low + 0 0 0 1 1 0 0 1 High − 30201000 High + 2 1 0 0 4 0 0 0 Age Stage High Acid Grade − +
X−ray − + − +
Involvement No Yes No Yes No Yes No Yes Low − 51100100 Low + 1 1 0 0 1 2 1 5 High − 30010001 High + 2 2 0 1 0 0 0 1 Age Stage