The Beta-binomial Convolution Model For 2×2 Tables With Missing Cell Counts

Rob Eisinga

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The Beta-binomial Convolution Model For 2×2 Tables With Missing Cell Counts

机译：缺少单元格计数的2×2表的Beta-二项式卷积模型

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This paper considers the beta-binomial convolution model for the analysis of 2 × 2 tables with missing cell counts. We discuss maximum-likelihood (ML) parameter estimation using the expectation-maximization algorithm and study information loss relative to complete data estimators. We also examine bias of the ML estimators of the beta-binomial convolution. The results are illustrated by two example applications.

机译：本文考虑使用β-二项式卷积模型来分析缺少单元格计数的2×2表。我们讨论使用期望最大化算法的最大似然（ML）参数估计，并研究相对于完整数据估计量的信息损失。我们还检查了β-二项式卷积的ML估计量的偏差。结果由两个示例应用程序说明。

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《Statistica neerlandica》 |2009年第1期|24-42|共19页
作者
Rob Eisinga;
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正文语种 eng
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ecological inference; beta-binomial distribution; convolution likelihood; expectation-maximization algorithm; missing information principle; fisher information loss; bias correction; 2×2 table;

机译：生态推理;β-二项分布;卷积似然性;期望最大化算法;缺失信息原理;渔民信息损失;偏倚校正;2×2表;

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1. Estimates for cell counts and common odds ratio in three-way contingency tables by homogeneous log-linear models with missing data [J] . Rochani Haresh D., Vogel Robert L., Samawi Hani M., Advances in statistical analysis . 2017,第1期

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2. Information loss for 2 × 2 tables with missing cell counts: binomial case [J] . Rob Eisinga Statistica neerlandica . 2008,第2期

机译：2×2表中丢失单元格计数的信息丢失：二项式
3. Beta-binomial/gamma-Poisson regression models for repeated counts with random parameters [J] . Mayra Ivanoff Lora, Julio M. Singer Brazilian Journal of Probability and Statistics . 2011,第2期

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4. Eliminating Small Cells from Census Counts Tables: Some Considerations on Transition Probabilities [C] . Sarah Giessing, Joerg Hoehne Privacy in statistical databases . 2010

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6. A spatial Beta-Binomial model for clustered count data on dental caries [O] . Dipankar Bandyopadhyay, Brian J. Reich, Elizabeth H. Slate -1

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7. The beta-binomial convolution model for 2 × 2 tables with missing cell counts [O] . Eisinga Rob 2009

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8. Implementation of Cellular-Logic Operators Using 3 X 3 Convolution and Table Look-Up Hardware [R] . Gerritsen, F. A., Verbeek, P. W. 1983

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The Beta-binomial Convolution Model For 2×2 Tables With Missing Cell Counts

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