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固定效应方差分析 F 检验操作特征曲线的 10% 与 50% 点图表AI 解读

TABLES of the power functions for fixed effects analysis of variance F tests have been published by Tang [4 ] and Lehmer [2 ] and charts of these power functions have been presented by Pearson and Hartley [3 ] and Fox [1 ]. Pearson and Hartley offer eight charts of power curves for a = 0.01 and a = 0.05 and degrees of freedom fi from 1 to 8 and f2 from 6 to oc. They cover eight pages, one for each value of fi. Fox gives lines of constant ( (defined below) for P = 0.5, 0.7,…

统计与科学AI 解读

* An invited review article on Sir Ronald A. Fisher, Statistical Methods and Scientific Inference, New York: Hafner Publishing Company, 1966. Pp. viii, 175. $3.00.

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统计与科学AI 解读

* An invited review article on Sir Ronald A. Fisher, Statistical Methods and Scientific Inference, New York: Hafner Publishing Company, 1966. Pp. viii, 175. $3.00.

截短 Edgeworth 与 Gram–Charlier 级数的单峰性和正性区域AI 解读

0. On the notation. In the literature it is common to use , and oto denote, respectively, the population mean and standard deviation and so these are used here. Since there is more than one symbol prevalent these days for the coefficient of skewness it is well to state at the outset that in this paper a! is used to denote this parameter. In practice, these population parameters are usually unknown and estimated from the sample. 1. Introductory remarks. The methods of fitting…

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抽样简明概览AI 解读

THE following article was originally published as a series of eight brief installments in the United States Air Force Statistical Services Technical Letter. The Tech Letter is a monthly publication of the Directorate of Statistical Services, Hq USAF and is used to disseminate technical information on current problems and future plans of all Statistical Services units in the Air Force. It is read by an estimated 5,000 Statistical Services officers, key civilians and key…

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基于样本均值与极差或平均极差的正态总体容忍限表AI 解读

Let x and r be respectively the observed mean and range in a random sample of size n from a normal population. Values of k 1 are tabulated which ensure a probability β that the pair of limits x ± k 1 r will include at least a proportion p of the population. For tolerance limits of the form x ± k 2 r, where x is the grand mean and r the mean range in N samples of size m each, necessary tables of the factor k 2 are provided for situations where m is either 4 or 5, these being…

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…

两个概率之比的两种置信区间及若干效能度量AI 解读

* Research sponsored by the Office of Naval Research under Contract Nonr 1636(00). Reproduction in whole or in part is permitted for any purpose of the United States Government.

按最小二乘准则拟合直线的简便图解法AI 解读

A simple technique is presented for obtaining without calculation the best fitting line according to the least squares criterion, provided the points are equally spaced horizontally. A graphic measure of residual variability is also derived.

统计学前沿AI 解读

* Presidential address, at the 116th Annual Meeting of the American Statistical Association, Detroit, Michigan, September 9, 1956.

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两个概率之比及若干有效性度量的两种置信区间AI 解读

* Research sponsored by the Office of Naval Research under Contract Nonr 1636(00). Reproduction in whole or in part is permitted for any purpose of the United States Government.

基于样本均值与极差或平均极差的正态总体容忍限表AI 解读

Let x and r be respectively the observed mean and range in a random sample of size n from a normal population. Values of k 1 are tabulated which ensure a probability β that the pair of limits x ± k 1 r will include at least a proportion p of the population. For tolerance limits of the form x ± k 2 r, where x is the grand mean and r the mean range in N samples of size m each, necessary tables of the factor k 2 are provided for situations where m is either 4 or 5, these being…

按最小二乘准则拟合直线的简便图解法AI 解读

A simple technique is presented for obtaining without calculation the best fitting line according to the least squares criterion, provided the points are equally spaced horizontally. A graphic measure of residual variability is also derived.

统计学的前沿AI 解读

* Presidential address, at the 116th Annual Meeting of the American Statistical Association, Detroit, Michigan, September 9, 1956.

具有单调似然比的分布AI 解读

A sufficient condition for the validity of the commonly used one-sided tests is that the underlying density p(x, ω), where x is the observed variable and ω the unknown parameter, possess a “monotone likelihood ratio.” In estimation, only monotone functions of the observed variable x should be used as possible estimating functions of ω.