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Keywords: ordinal regression
A new type of heart valve has been developed and is implanted in 63 dogs that have been raised on various levels of exercise. The numbers of valve transplants that succeed are recorded. Is the proportion of successful implants the same for dogs on all exercise regimens? Is there a trend with amount of exercise in the proportion of successful implants?
| Variable | Description | ||
| Exercise | Amount of exercise: 1=None, 2=Slight, 3=Moderate, 4=Vigorous | ||
| Implant | 1=Successful, 2=Unsuccessful | ||
| Frequency | Number of dogs | ||
The data could be presented in a contingency table:
Amount of Exercise |
||||||
Implant |
None |
Slight |
Moderate |
Vigorous |
Total |
|
Successful |
8 |
9 |
17 |
14 |
48 |
|
Unsuccessful |
7 |
3 |
3 |
2 |
15 |
|
Total |
15 |
12 |
20 |
16 |
63 |
|
Data File (tab-delimited text)
Zar, J. H. (1999). Biostatistical Analysis, Fourth Edition. Prentice-Hall International, Upper Saddle River, New Jersey. Exercise 24.20.
This can be used as an example of ordinal logistic regression, with Exercise as the response and Implant as the explanatory variable.
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