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Tests of Equality Between Sets of Coefficients in Two Linear Regressions

两个线性回归中系数集合的相等性检验

Having estimated a linear regression with p coefficients, one may wish to test whether m additional observations belong to the same regression. This paper presents systematically the tests involved, relates the prediction interval (for m = 1) and the analysis of covariance (for m > p) within the framework of general linear hypothesis (for any m), and extends the results to testing the equality between subsets of coefficients.

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A Monte Carlo Study of Alternative Simultaneous Equation Estimators

不同联立方程估计量的蒙特卡洛研究

We study the small sample properties of the simultaneous equation estimators by a Monte Carlo approach. The four methods of estimation considered are: least squares, two-stage least squares, unbiased and minimumsecond-moment. The last of these four methods possesses the smallest secondorder sampling moments about the true parameter value in a majority of cases, while two-stage least squares shows the smallest bias in all cases. It is also founld that the usual asymptotic…

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A Statistical Model of the Gross Analysis of Transaction Flows

交易流总体分析的统计模型

This is applicable to the flow of any kind of quantifiable transactions, and to matrices from three to more than one hundred actors, utilizing a 650 IBM electronic computer or similar equipment. The method develops a matrix of expected or baseline data from assumptions of complete indifference among the actors, and measures the plus or minus differences between this baseline value and the actual amount of transactions in each direction for every pair of actors. It thus…

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A Generalization of Causal Chain Models (Part III of a Triptych on Causal Chain Systems)

因果链模型的推广:因果链系统三部曲之三

The parting of the ways between causal chain (recursive) and interdependent (nonrecursive) systems is reviewed from the point of view of explanatory relations specified in terms of conditional expectations. On the customary assumptions, a causal chain system is designed so that its relations both in the original form and in the reduced form can be specified in terms of conditional expectations, whereas the relations of interdependent systems allow such specification only in…

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The Work of Ragnar Frisch, Econometrician

计量经济学家拉格纳·弗里施的研究工作

Frisch's work in all its phases exemplifies the interplay of economic theory, empirical analysis, and statistical method which peculiarly characterizes econometrics. Starting with his earliest papers, theoretical considerations have essentially the role of interpreting data. Repeatedly and in many different contexts, the need for a model, as we would say today, to enable us to learn from observations is stressed. This is particularly true when the exigencies of imperfections…

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