August 2009
Intermediate to advanced
648 pages
17h 35m
English
book
Categorical Data Analysis Using The SAS® System, 2nd Edition
by Maura E. Stokes, Charles S. Davis, Gary G. Koch
Content preview from Categorical Data Analysis Using The SAS® System, 2nd Edition
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9.2. Ordinal Response: Proportional Odds Model
9.2.1. Methodology
Consider the arthritis pain data in Table 9.1. Male and female subjects received an active or placebo treatment for their arthritis pain, and the subsequent extent of improvement was recorded as marked, some, or none (Koch and Edwards 1988).
| Improvement | |||||
|---|---|---|---|---|---|
| Sex | Treatment | Marked | Some | None | Total |
| Female | Active | 16 | 5 | 6 | 27 |
| Female | Placebo | 6 | 7 | 19 | 32 |
| Male | Active | 5 | 2 | 7 | 14 |
| Male | Placebo | 1 | 0 | 10 | 11 |
One possible analysis strategy is to create a dichotomous response variable by combining two of the response categories, basing a model on either Pr{marked improvement} versus Pr{some or no improvement} or Pr{marked or some improvement} versus Pr{no improvement}. However, since there is a natural ordering ...
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