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| Titel: |
Sequential unbiased estimation of parameters in a two-way contingency table |
| Auteur: |
Chen, C.C. Quinzi, A.J. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 11 (1982) nr. 18 pagina's 2091-2103 |
| Jaar: |
1982 |
| Inhoud: |
Classical analysis of contingency tables employs (i) fixed sample sizes and (ii) the maximum likelihood and weighted least squares approach to parameter estimation. It is well-known, however, that certain important parameters, such as the main effect and interaction parameters, can neverbe estimated unbiasedly when the sample size is fixed a priori We introduce a sequential unbiased estimator for the cell probabilities subject to log linear constraints. As a simple consequence, we show how parameters such as those mentioned above may. be estimated unbiasedly. Our unbiased estimator for the vector of cell probabilities is shown to be consistent in the sense of Wolfowitz (Ann. Math. Statist. (1947) 18). We give a sufficient condition on a multinomial stopping rule for the corresponding sufficient statistic to be complete. When this condition holds, we have a unique minimum variance unbiased estimator for the cell probabilities. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 10 van 10 gevonden artikelen
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