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An ‘unconditional-like ’ structure for the conditional estimator of odds ratio from 2 2 tables (2005).
| Content Provider | CiteSeerX |
|---|---|
| Author | Hanley, James A. Miettinen, Olli S. |
| Abstract | In the estimation of the odds ratio (OR), the conditional maximum-likelihood estimate (cMLE) is pre-ferred to the more readily computed unconditional one (uMLE). However, the exact cMLE does not have a closed form to help divine it from the uMLE or to understand in what circumstances the differ-ence between the two is appreciable. Here, the cMLE is shown to have the same ‘ratio of cross-prod-ucts ’ structure as its unconditional counterpart, but with two of the cell frequencies augmented, so as to shrink the unconditional estimator towards unity. The augmentation involves a factor, similar to the finite population correction, derived from the minimum of the marginal totals. Key words: Odds ratio; Non-central hypergeometric distribution; Case-control studies. Abbreviations OR odds ratio (parameter) or point estimate/estimator of OR oru: unconditional or orc: conditional or MLE maximum-likelihood estimate/estimator cMLE: conditional MLE uMLE: unconditional MLE MHE Mantel-Haenszel estimate/estimator 1 |
| File Format | |
| Publisher Date | 2005-01-01 |
| Access Restriction | Open |
| Subject Keyword | Odds Ratio Unconditional-like Structure Conditional Estimator Case-control Study Mle Maximum-likelihood Estimate Estimator Cmle Abbreviation Odds Ratio Exact Cmle Finite Population Correction Non-central Hypergeometric Distribution Unconditional Counterpart Conditional Mle Umle Cross-prod-ucts Structure Unconditional Estimator Towards Unity Cell Frequency Closed Form Conditional Maximum-likelihood Estimate Marginal Total Point Estimate Estimator |
| Content Type | Text |
