A Monte Carlo Study to Evaluate the Performance of Selected Tests of Homogeneity in Sparse Contingency Tables

✍ Scribed by Prof. Dale F. Kraemer; Robert F. Woolson

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 848 KB
• Volume: 30
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710300702

✦ Synopsis

We address the problem of tests of homogeneity in two-way contingency tablea in cam-control studies when the case category is subdivided into k subcategoriea. In this situation, we have two cells with large frequencies and 2 x k cells with frequencies that become small as k increaeee. We propose two ad hoc statistice in which a statistic for the sparse cells is combined with a statistic for the cells with large frequencies. We will study these h t a along with the Pearson teat (using a chi-square approximation) in a Monte Carlo simulation etudy. Two sete of null hypothesie modele and two sets of alternative hypothesis models are considered. The best teat for the models considered is the usual Peareon test (using an epproximate chi-square distribution) although the ad hoc models are more powerful under one alternative model considered.