Estimation of a Variance Function, with Application to Immunoassay
Estimation of a Variance Function, with Application to Immunoassay
复制标题
方差函数的估计及其在免疫测定中的应用
DOI：
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发表时间：
1981
期刊：
影响因子：
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通讯作者：
G. Raab
中科院分区：
文献类型：
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作者：
G. Raab
解决了通过从大量小样本中汇集信息来估计方差的问题。最大似然方法被证明是不一致的，但描述了一种修正的最大似然方法，它给出了一致的估计值。还提出了一种改进的似然比拟合度检验，并描述了这些结果在免疫分析数据中的应用。与回归方法的比较表明，如果方差函数为指数模型，且观测值为2、3或4组，则改进的极大似然法的效率要高得多。
The problem of estimating variances by pooling information from a large number of small samples is tackled. Maximum likelihood methods are shown to be inconsistent, but a modified maximum likelihood method is described which gives consistent estimators. A modified likelihood ratio test of fit is also developed, and the application of these results to immunoassay data is described. Comparison with a regression method shows that if the variance function is given by an exponential model, and the observations are in sets of 2, 3 or 4, the modified maximum likelihood method has much greater efficiency.