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Two generalizations of the common principal component model 总被引:3,自引:0,他引:3
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We introduce new robust small area estimation procedures basedon area-level models. We first find influence functions correspondingto each individual area-level observation by measuring the divergencebetween the posterior density functions of regression coefficientswith and without that observation. Next, based on these influencefunctions, properly standardized, we propose some new robustBayes and empirical Bayes small area estimators. The mean squarederrors and estimated mean squared errors of these estimatorsare also found. A small simulation study compares the performanceof the robust and the regular empirical Bayes estimators. Whenthe model variance is larger than the sample variance, the proposedrobust empirical Bayes estimators are superior. 相似文献
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Long-term phenotypic evolution can be modeled using the response-to-selection equation of quantitative genetics, which incorporates information about genetic constraints (the G matrix). However, little is known about the evolution of G and about its long-term importance in constraining phenotypic evolution. We first investigated the degree of conservation of the G matrix across three species of crickets and qualitatively compared the pattern of variation of G to the phylogeny of the group. Second, we investigated the effect of G on phenotypic evolution by comparing the direction of greatest quantitative genetic variation within species (g(max)) to the direction of phenotypic divergence between species (Delta(z)). Each species, Gryllus veletis, G. firmus, and G. pennsylvanicus, was reared in the laboratory using a full-sib breeding design to extract quantitative genetic information. Five morphological traits related to size were measured. G matrices were compared using three statistical approaches: the T method, the Flury hierarchy, and the MANOVA method. Results revealed that the differences between matrices were small and mostly caused by differences in the magnitude of the genetic variation, not by differences in principal component structure. This suggested that the G matrix structure of this group of species was preserved, despite significant phenotypic divergence across species. The small observed differences in G matrices across species were qualitatively consistent with genetic distances, whereas ecological information did not provide a good prediction of G matrix variation. The comparison of g(max) and Delta(z) revealed that the angle between these two vectors was small in two of three species comparisons, whereas the larger angle corresponding to the third species comparison was caused in large part by one of the five traits. This suggests that multivariate phenotypic divergence occurred mostly in a direction predicted by the direction of greatest genetic variation, although it was not possible to demonstrate the causal relationship from G to Delta(z). Overall, this study provided some support for the validity of the predictive power of quantitative genetics over evolutionary time scales. 相似文献
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论述的是来自非均街资料的混合模型中具有亲缘关系矩阵时利用迭代法估计方差组分问题。这篇文章表明计算程序是可行的,只要能够按照混合模型中固定效应的结构矩阵和Henderson方法3的固定效应的假设条件正确地计算二次型约化平方和,就可获得较为精确的方差组分估计值;而且表明方差初始比值k偏高或偏低,不影响迭代求解的最后结果,这是因为在迭代过程中可以通过结构矩阵x'x和x'x的控制而自行调整。这些方差组分不仅可应用于选种种畜用的BLUP计算,还可用来估计遗传参数。 相似文献
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The kinetics of the cytochrome (cyt) components of the bc1 complex (ubiquinol: cytochrome c oxidoreductase, Complex III) are traditionally followed by using the difference of absorbance changes at two or more different wavelengths. However, this difference-wavelength (DW) approach is of limited accuracy in the separation of absorbance changes of components with overlapping spectral bands. To resolve the kinetics of individual components in Rhodobacter sphaeroides chromatophores, we have tested a simplified version of a least squares (LS) analysis, based on measurement at a minimal number of different wavelengths. The success of the simplified LS analysis depended significantly on the wavelengths used in the set. The “traditional” set of 6 wavelengths (542, 551, 561, 566, 569 and 575 nm), normally used in the DW approach to characterize kinetics of cyt ctot (cyt c1 + cyt c2), cyt bL, cyt bH, and P870 in chromatophores, could also be used to determine these components via the simplified LS analysis, with improved resolution of the individual components. However, this set is not sufficient when information about cyts c1 and c2 is needed. We identified multiple alternative sets of 5 and 6 wavelengths that could be used to determine the kinetics of all 5 components (P870 and cyts c1, c2, bL, and bH) simultaneously, with an accuracy comparable to that of the LS analysis based on a full set of wavelengths (1 nm intervals). We conclude that a simplified version of LS deconvolution based on a small number of carefully selected wavelengths provides a robust and significant improvement over the traditional DW approach, since it accounts for spectral interference of the different components, and uses fewer measurements when information about all five individual components is needed. Using the simplified and complete LS analyses, we measured the simultaneous kinetics of all cytochrome components of bc1 complex in the absence and presence of specific inhibitors and found that they correspond well to those expected from the modified Q-cycle. This is the first study in which the kinetics of all cytochrome and reaction center components of the bc1 complex functioning in situ have been measured simultaneously, with full deconvolution over an extended time range. 相似文献