LINEAR METHODS IN STATISTICS

这个项目的目标是研究统计的线性方法和 它们在生物医学研究中的应用。 对于最优估计问题，得到了进一步的结果 方差分析中的方差分量。这些新方法是 现在证明它在本质上是环论的，而且计算也很简单。 解的这种潜在的代数性质也代表了一种新的 统计文献中的技术主体，因此承诺了一个新的 通俗地讲，数理统计的研究方向。收集到的 目前正在将材料汇集在一本书中进行准备，以及 将提供对方差的无偏估计的完整概述 组件以及帮助调解代数结构的引入 方法查阅统计文献。 与G.Crabtree博士(NCI/DCBD/LP)完成了关于 三种纤维蛋白原基因的进化。建立了几个概率模型 构造的目的是处理数据问题，根据 这个问题对研究人员来说是无法理解的。具体地说，就是这种模式 基因上存在或不存在内含子的研究是为了 决定了基因的历史发展，其中一类 观察到，在所有三个基因上都没有内含子的情况下，它的 因此，存在在当今的基因上是不可识别的。

The objective of this project is to study linear methods of statistics and their applications to biomedical research. Further results have been obtained for the problem of optimally estimating the variance components in an analysis of variance. These new methods are now shown to be ring-theoretic in nature as well as simple to calculate. This underlying algebraic nature of the solutions represents also a new body of technique in the statistical literature, and hence promises a new avenue of research in mathematical statistics generally. The collected material is presently being brought together in a book in preparation, and will provide a complete overview of the unbiased estimation of variance components as well as help mediate the introduction of algebraic structural methods into the statistical literature. Collaborative work was completed with Dr. G. Crabtree (NCI/DCBD/LP) on the evolution of the three fibrinogen genes. Several probabilistic models were constructed to deal with the problem of data, which by the nature of the problem is inaccessible to the researcher. Specifically, the pattern of present or absent introns on the genes was studied in an effort to determine the historical development of the genes, and one class of observations is that for which an intron is absent on all three genes, its presence thus being indetectable on the present day genes.