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Canonical Analysis: A Factor-Analytic Method of Comparing Finite Discrete Distribution Functions

典型分析:比较有限离散分布函数的因子分析方法

The methods of factor analysis are adapted to the comparison of finite discrete distribution functions. Each element of a finite class of distribution functions is presented in a canonical form in which components differentiating and uniting the functions are easily distinguished and are readily calculated using factor-analysis algorithms. This technique, which we call canonical analysis, has uses in heterogeneity and goodness-of-fit analysis and in the classification of…

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Canonical Analysis: A Factor-Analytic Method of Comparing Finite Discrete Distribution Functions

典型分析:比较有限离散分布函数的因子分析方法

The methods of factor analysis are adapted to the comparison of finite discrete distribution functions. Each element of a finite class of distribution functions is presented in a canonical form in which components differentiating and uniting the functions are easily distinguished and are readily calculated using factor-analysis algorithms. This technique, which we call canonical analysis, has uses in heterogeneity and goodness-of-fit analysis and in the classification of…

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Models for Censored Survival Analysis: A Cone Class of Variable-Sum Models

删失生存分析模型:可变和模型的锥类

A class of models is proposed for the analysis of censored survival data in situations where survival is affected by conditions which lead to censoring. The specific case where survival is exponential is examined in detail, and the methods are applied to a lung cancer clinical trial.

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Models for censored survival analysis: A cone class of variable-sum models

删失生存分析模型:可变和模型的锥类

A class of models is proposed for the analysis of censored survival data in situations where survival is affected by conditions which lead to censoring. The specific case where survival is exponential is examined in detail, and the methods are applied to a lung cancer clinical trial.

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Variance of Weighted Regression Estimators when Sampling Errors are Independent and Heteroscedastic

独立异方差抽样误差下加权回归估计量的方差

General results are obtained for an approximation to the variance of a weighted regression estimator in which the weights are sample estimators of unknown unpatterned variances. Independent normally distributed errors are specified for the linear response model used in the development. Applications to four examples of weighted sample means and linear regression in a single factor are studied. The most important practical conclusion drawn from the results of these examples is…

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The Variance of Weighted Regression Estimators

加权回归估计量的方差

Formulas for the variances of weighted least squares estimators calculated with estimated weights based on equal replicate numbers are derived in this paper. Results are obtained for the two cases of multivariate and univariate error distributions.

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Some statistical properties of a genetic selection index

遗传选择指数的若干统计性质

The genetic selection index proposed by Smith ( 1936) is an optimal linear index involving parametric weighting coefficients. In practical applications, these weights have to be estimated using sample data. The statistical properties of the resulting index, which will be called the estimated index, are still in doubt although some approximations to the moments of estimated weights and the expected gain due to selection have been obtained by Bartlett (1939) and Nanda (1949).…

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