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交叉分类的关联度量AI 解读

When populations are cross-classified with respect to two or more classifications or polytomies, questions often arise about the degree of association existing between the several polytomies. Most of the traditional measures or indices of association are based upon the standard chi-square statistic or on an assumption of underlying joint normality. In this paper a number of alternative measures are considered, almost all based upon a probabilistic model for activity to which…

一种拟合优度检验AI 解读

Some (large sample) significance points are tabulated for a distribution-free test of goodness of fit which was introduced earlier by the authors. The test, which uses the actual observations without grouping, is sensitive to discrepancies at the tails of the distribution rather than near the median. An illustration is given, using a numerical example used previously by Birnbaum in illustrating the Kolmogorov test.

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分层两阶段抽样方案的比较AI 解读

This paper deals with an empirical investigation of various stratified two-stage sampling systems for estimating totals of certain agricultural items of North Carolina. The 1940 Agricultural Census data were used for stratification, selection and estimation purposes. The observed data were the results of the 1945 Agricultural Census. Theory for the selection of n primary sampling units from a stratum with probability proportional to some measure of size but without…

识字统计数据的抽样核查AI 解读

An attempt is described to control the value of literacy data by the use of sampling methods. The reason for this research is the widely known unreliability of this sort of statistics in countries with a high rate of illiteracy. This research has been conducted as a part of the post-enumeration survey, taken in connection with the Yugoslav census of population as of March 31, 1954. The aim of the survey was the control of accuracy and value of different census results. The…

凹函数纵坐标的点估计AI 解读

A method is developed for obtaining maximum likelihood estimates of points on a surface of unspecified algebraic form when ordinates of the points are required to satisfy a set of linear inequalities. A production function with one variable input is considered in some detail. In this case the restrictions follow from the assumption of non-increasing returns. An illustrative computation is worked out using a procedure based on equivalence between the estimation problem and a…

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分层两阶段抽样方案的比较AI 解读

This paper deals with an empirical investigation of various stratified two-stage sampling systems for estimating totals of certain agricultural items of North Carolina. The 1940 Agricultural Census data were used for stratification, selection and estimation purposes. The observed data were the results of the 1945 Agricultural Census. Theory for the selection of n primary sampling units from a stratum with probability proportional to some measure of size but without…

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截断样本与删失样本中的泊松参数估计AI 解读

Maximum likelihood estimators of the Poisson parameter applicable to both truncated and censored samples are derived in this paper. Singly and doubly truncated samples as well as singly and doubly censored samples are considered. The estimators obtained are presented in simple algebraic forms and their application to practical problems with the aid of standard Poisson tables is illustrated with numerical examples. Asymptotic variances of estimates for the different cases…

分布无关随机性检验对正态备择的渐近相对效率AI 解读

S EVERAL writers, notably Hotelling and Pabst [5], have explicitly assumed that the relative efficiency of two test statistics is to be measured by their estimating efficiencies. While this seems reasonable, it is by no means obvious, since if the two tests are consistent, the ratio of their powers against any fixed alternative hypothesis must tend to unity with increasing sample size n, and it may easily be shown that for any n, the less efficient estimator may provide a…

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统计方法在沉积岩研究中的应用AI 解读

Statistical methods find wide application in geology, especially in the study of textures and composition of sedimentary rocks. Certain apparent irregularities in the data, such as highly skewed distributions, use of weight instead of number frequencies, use of unequal class intervals, and some others, required development of special methods of statistical analysis. In part, logarithmic transformations permitted application of conventional methods to the data. Some…

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