کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
415559 | 681214 | 2007 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Maximally selected Chi-squared statistics and non-monotonic associations: An exact approach based on two cutpoints Maximally selected Chi-squared statistics and non-monotonic associations: An exact approach based on two cutpoints](/preview/png/415559.png)
Binary outcomes that depend on an ordinal predictor in a non-monotonic way are common in medical data analysis. Such patterns can be addressed in terms of cutpoints: for example, one looks for two cutpoints that define an interval in the range of the ordinal predictor for which the probability of a positive outcome is particularly high (or low). A Chi-squared test may then be performed to compare the proportions of positive outcomes in and outside this interval. However, if the two cutpoints are chosen to maximize the Chi-squared statistic, referring the obtained Chi-squared statistic to the standard Chi-squared distribution is an inappropriate approach. It is then necessary to correct the pp-value for multiple comparisons by considering the distribution of the maximally selected Chi-squared statistic instead of the nominal Chi-squared distribution. The exact distribution of the Chi-squared statistic obtained with the two optimal cutpoints is derived based on combinatorial considerations. This approach is illustrated by a simulation study and an application to varicella data.
Journal: Computational Statistics & Data Analysis - Volume 51, Issue 12, 15 August 2007, Pages 6295–6306