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双限计量抽样方案的设计与实施AI 解读

The paper presents and illustrates the use of three charts and a table for the design and operation of a double-limit variables sampling plan. Two of the charts are plots of the Lieberman-Resnikoff tables of the minimum variance unbiased estimate of the proportion of a normal universe exceeding specified limits given sample estimates of the mean and standard deviation or average range. The table is an extension of the Patnaik table of conversion factors for use of the…

一种计算回归系数的程序AI 解读

Most statisticians are familiar with the method whereby partial correlation coefficients are derived from coefficients of lower order. But analogous methods for regression coefficients are apparently not widely known, and seem not to be described in the text books. Such methods are discussed here.

计算复相关、偏相关与回归系数的改进 Doolittle 方法AI 解读

A method for obtaining multiple and partial correlation and regression coefficients on desk calculators is presented that is efficient and highly flexible. Insofar as possible, the computations parallel those used when fitting interrelated systems of equations by the limited information approach. This method is easier for beginners to understand than the usual Doolittle approach because no back solution is required. Efficient methods for (1) coding the data, (2)…

均方列联指标的概率解释AI 解读

The purpose of this paper is to interpret θ2, the mean square contingency, as a function of probabilities associated with proportional prediction and in so doing to provide some additional evidence on the difficulty of giving useful operational interpretations to measures of association based on chi-square.

若干抽样技术的相对精度AI 解读

The problem considered is estimation of the mean value of a character for a finite population, making use of information on an auxiliary character. A comparison is made between the pps estimate and the simple average, ratio and regression and stratified sample estimates. The results are obtained under the assumption that the finite population is a random sample from an infinite population possessing certain properties.

材料寿命的统计模型AI 解读

A statistical model for life-lengths of structures under dynamic loading is derived. The model makes it possible to express the probability distribution of life-lengths in terms of the load given as a function of time and of deterioration occurring in time independently of loading. The special case of a constant load (or of periodic loading with constant amplitude) leads to gamma distributions for life lengths.

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计算回归系数的一种程序AI 解读

Most statisticians are familiar with the method whereby partial correlation coefficients are derived from coefficients of lower order. But analogous methods for regression coefficients are apparently not widely known, and seem not to be described in the text books. Such methods are discussed here.

计算多重相关、偏相关与回归的改进 Doolittle 方法AI 解读

A method for obtaining multiple and partial correlation and regression coefficients on desk calculators is presented that is efficient and highly flexible. Insofar as possible, the computations parallel those used when fitting interrelated systems of equations by the limited information approach. This method is easier for beginners to understand than the usual Doolittle approach because no back solution is required. Efficient methods for (1) coding the data, (2)…

The purpose of this paper is to interpret θ2, the mean square contingency, as a function of probabilities associated with proportional prediction and in so doing to provide some additional evidence on the difficulty of giving useful operational interpretations to measures of association based on chi-square.

若干抽样技术的相对精度AI 解读

The problem considered is estimation of the mean value of a character for a finite population, making use of information on an auxiliary character. A comparison is made between the pps estimate and the simple average, ratio and regression and stratified sample estimates. The results are obtained under the assumption that the finite population is a random sample from an infinite population possessing certain properties.

特定累积数据的直线拟合AI 解读

Many situations giving rise to linear data involve measurements made at progressive stages of a physical or chemical process carried out on the same subject of experimentation. In such cases, the experimental errors include cumulative components related to the process, and the errors corresponding to different points on the line are not independent. Failure to take such cumulation of errors into account results in serious underestimation of the standard error of the…

回归方程中虚拟变量的使用AI 解读

The use of dummy variables requires the imposition of additional constraints on the parameters of regression equations if determinate estimates are to be obtained. Among the possible constraints the most useful are (a) to set the constant term of the equation to zero, or (b) to omit one of the dummy variables from the equation. In working with a single system of classes either constraint can be used, and results from the application of one are readily derived from those…

样本中程数作为总体中程数的估计量AI 解读

A study is made of the distribution of the midranges of samples from five different symmetric populations of limited range, and of the relative efficiency of midrange and mean in estimating the population midrange, or mean, or median. (For a symmetric distribution these three averages are of course identical.) It is found that the midrange is more efficient than the mean for all of the populations considered, and that this efficiency increases with decreasing α4(=…

不完整多元样本的参数估计AI 解读

The problem considered is that of using all of the observations in a sample of multivariate observations when for some of the observations values for certain of the characters are missing. This paper extends results obtained for estimation of the parameters in special cases to the general p-variate case and presents the solution to the problem of what use may be made of data from incomplete multivariate samples when the interest lies in the prediction of one character from a…

两个二项分布参数乘积的置信区间AI 解读

Many more-or-less reasonable solutions to the problem of statistical estimation of the product P 1 P 2 of two binomial parameters by confidence intervals can be given. After specializing to the case where P 1 and P 2 are much less than 1 and to estimation by “one-sided” intervals it is shown that a unique solution is obtained when one assumes a certain set of inequalities and then requires the intervals to be as short as possible. Tables of intervals for 90 and 95 per cent…

为满足样本均值要求而进行总体截断AI 解读

S EVERAL papers have recently been written on estimating the parameters of a population from examination of a random sample drawn from a truncated portion of the population. If the sample is drawn from a normal, Poisson, or binomial population which has been truncated, estimates for the parameters of the original population are given in refereinces [1], [2], and [6]. In this paper, we consider a converse problem: namely, if the parameters of a population are assumed to be…

多元polykay在无偏比率型估计理论中的应用AI 解读

The multivariate polykays, or multipart k-statistics, are obtained as a slight extension of results given by Tukey [4] for the univariate polykays. The relationship between this system and the system of multivariate symmetric means is indicated and multiplication formulas are given. An application of these results to the construction of unbiased ratio-type estimators and variance estimates for finite populations is given as a further illustration of the usefulness of…

二项总体中的最优抽样AI 解读

IN choosing the sample size for determining which of two populations has the larger mean, one ordinarily states a difference which is considered worth detecting, and a confidence with which one wishes to detect a difference of this size. Given this information, it is easy to calculate the minimum required sample size. The experimenter, however, must still face the problem of what difference and what confidence coefficient to choose. Actually, these may be considered as…

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多元 polykay 统计量在无偏比率型估计理论中的应用AI 解读

The multivariate polykays, or multipart k-statistics, are obtained as a slight extension of results given by Tukey [4] for the univariate polykays. The relationship between this system and the system of multivariate symmetric means is indicated and multiplication formulas are given. An application of these results to the construction of unbiased ratio-type estimators and variance estimates for finite populations is given as a further illustration of the usefulness of…