By Maura Ellen Stokes; Charles S Davis; Gary G Koch
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Extra resources for Categorical data analysis using the SAS system
Suppose that the underlying prevalence of disease for an appropriate target population for these data is 15%. That is, 15% of the population have the disease and 85% do not. You can compute joint probabilities by multiplying the conditional probabilities by the marginal probabilities. 10. 85 The values in the row titled “Total” are Pr(Test +) and Pr(Test ), respectively. 972. Refer to Fleiss (1981, p. 4) for more detail, including the calculation of false negative and false positive rates. 7 McNemar’s Test The ¾ ¢ ¾ table often contains information collected from matched pairs, experimental units for which two related responses are made.
1 Homogeneity of Odds Ratios . . . . . . . . . . . 2 Coronary Artery Disease Data Example . . . . . . . . 57 58 59 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 in the previous chapter are only a subset of the data collected in the clinical trial. 1. These data comprise a set of two ¾ ¢ ¾ tables. 1. Center 1 1 Total 2 2 Total Respiratory Improvement Treatment Test Placebo Test Placebo Yes 29 14 43 37 24 61 No 16 31 47 8 21 29 Total 45 45 90 45 45 90 Investigators were interested in whether there were overall differences in rates of improvement; however, they were concerned that the patient populations at the two centers were sufficiently different that center needed to be accounted for in the analysis.
3 Exact Tests Sometimes your data include small and zero cell counts. For example, consider the following data from a study on treatments for healing severe infections. A test treatment and a control are compared to determine whether the rates of favorable response are the same. 3. 2 are not met by these data. However, if you can consider the margins (12, 6, 12, 6) to be fixed, then you can assume that the data are distributed hypergeometrically and write Pr Ò Ò½· Ò¾· Ò·½ Ò·¾ Ò Ò½½ Ò½¾ Ò¾½ Ò¾¾ The row margins may be fixed by the treatment allocation process; that is, subjects are randomly assigned to Test and Control.