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A likelihood ratio test for the equality of proportions of two normal populations |
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| Authors: | Youn-Min Chou D B Owen |
| Institution: | 1. Division of Mathematics, Computer Science, and Statistics , The University of Texas at San Antonio , San Antonio, 78285-06C4, Texas;2. Department of Statistical Science , Southern Methodist University , Dallas, 75275-0332, Texas |
| Abstract: | In sampling inspection by variables, an item is considered defective if its quality characteristic Y falls below some specification limit L0. We consider switching to a new supplier if we can be sure that the proportion of defective items for the new supplier is smaller than the proportion defective for the present supplier. Assume that Y has a normal distribution. A test for comparing these proportions is developed. A simulation study of the performance of the test is presented. |
| Keywords: | noncentral t distribution tests of hypotheses noncentral chi- square distribution simulation process capability indices |