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作者:GRAB, EL; SAVAGE, IR
摘要:Positive Bernoulli and Poisson variables result when the zero class either does not exist or cannot be observed. These tables give the expected value of the reciprocal of such variables for p = .01 to p = .99 and sample sizes from 2 to 30 in the Bernoulli distribution and for means from .01 to 20 in the Poisson distribution. The preparation and use of the tables is discussed.
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作者:ANDERSON, TW; DARLING, DA
摘要:Some (large sample) significance points are tabulated for a distribution-free tsst 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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作者:DURAND, D
摘要:In multiple regression problems two popular practices involve fallacies. One is the procedure of eliminating terms whose estimated regression coefficients do not differ significantly from zero. The other is making confidence interval statements about individual coefficients with the implication that the associated probability applies simultaneously to all coefficients. With the purpose in mind of avoiding these fallacies, the author discusses methods of making joint confidence interval stateme...
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作者:BIRNBAUM, A
摘要:It is shown that no single method of combining independent tests of significance is optimal in general, and hence that the kinds of tests to be combined should be considered in selecting a method of combination. A number of proposed methods of combination are applied to a particular common testing problem.. It is shown that for such problems, Fisher''s method and a method proposed by Tippett have an optimal property.
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作者:COCHRAN, WG; MOSTELLER, F; TUKEY, JW
摘要:This is appendix G of a monograph by these authors on Statistical Problems of the Kinsey Report, where reference is to the first book on the human male. To support various statements made in the body of the report, descriptions of different types of samples and common pitfalls encountered in sample analyses have been discussed at length in this appendix. Practically every aspect of sampling theory has been included. Special attention is given to the concept of probability sampling and to the p...
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作者:ANDERSON, RL
摘要:This is a review paper covering certain research in the field of regression analysis. Emphasis is placed on problems associated with the presence of autocorrelated errors in dependent variates. Topics covered include general research, tests of significance for autocorrelation, estimation when autocorrelation is present and the use of autoregressive models. A bibliography of 65 references is appended.
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作者:GUMBEL, EJ
摘要:The circular normal distribution is described and procedures are given for its application. Examples are taken from geophysical, vital and economic statistics. To facilitate calculations a table of the circular normal probability differences is included. There is some discussion of unsolved problems.
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作者:COHEN, AC
摘要:Maximum likelihood estimators of the Poisson parameter applicable to both truncated and censored samples are derived in this paper. Singly and doubly truncated 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 considered are obtained from second derivatives of the likelihood fu...
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作者:GOODMAN, LA; KRUSKAL, WH
摘要:When populations are cross-classified with respect to 2 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 on a probabilistic model for activity to which the cross-classificati...
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作者:HILDRETH, C
摘要: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 certain saddle prob...