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健康研究中的统计推断问题：以吸烟与肺癌争议为例AI 解读

Disagreement about the role of cigarette smoking in lung cancer is traced to three sources of confusion. In the first, there is lack of agreement as to the definition of terms and what is implied when a specific factor is said to be a cause of a particular disease. A suggested definition is offered to clarify one of the issues causing dissent. The second area of disagreement concerns the method of measuring the strength of the relationship in a 2 × 2 table, and whether the…

健康领域的统计推断问题：以吸烟与肺癌争论为例AI 解读

Disagreement about the role of cigarette smoking in lung cancer is traced to three sources of confusion. In the first, there is lack of agreement as to the definition of terms and what is implied when a specific factor is said to be a cause of a particular disease. A suggested definition is offered to clarify one of the issues causing dissent. The second area of disagreement concerns the method of measuring the strength of the relationship in a 2 × 2 table, and whether the…

摘要暂缺

一类具有特定结构的矩阵的行列式、特征方程及其根的计算AI 解读

SUMMARY The variance–covariance matrices arising in the analysis of variance, response-surface fitting and order statistics have special patterns expediting and facilitating their algebraic manipulation. By appropriate triangulation and partitioning devices, the determinants of these matrices can be evaluated from general formulae. The characteristic equations, and sometimes their roots, can also be obtained in a direct single step.

矩阵求逆及其在数据分析中的用途与应用AI 解读

Matrix inversion is used in the least squares analysis of data to estimate parameters and their variances and covariances. When the data come from the analysis of variance, analysis of covariance, order statistics, or the fitting of response-surfaces, the matrix to be inverted usually falls into a structured pattern that simplifies its inversion.One class of patterned matrices is characterized by non-singular symmetrical arrangemepts in which linear combinations of the first…

基于删失样本的均匀总体位置与尺度参数估计AI 解读

Summary Best linear estimates of location and scale parameters under conditions of Type II censoring are obtained for the rectangular distribution. In addition, functions of the location and scale parameters such as the start and end of the distribution, as well as percentile points, are also estimable. A special case occurs where the rectangular distribution starts at the origin. Tables are available from the authors to furnish coefficients to facilitate all computations…

单侧与双侧删失指数分布样本的顺序统计量最优线性估计表AI 解读

Tables are provided covering sample sizes up to 10. Interpretations are made for the variation of the coefficients and variances of the estimates as the number of censored observations vary. An index of experimental efficiency termed “efficiency per unit of waiting time” can be constructed with the tabulations provided. It is shown that (1) For the one-parameter single exponential distribution, the estimate of σ obtained from singly censored samples from the left has a…