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作者:Wicksell, SD
摘要:The error function of the second moment about a fixed point other than the mean of samples from an infinite normal population is a generalized form of Pearson''s type III frequency curve. The correlation function of the variances of samples from an infinite normal bivariate population has marginal distributions of type III of equal skewness. The regression of the means, variances and higher semi-invariants of the arrays is linear, but the correlation is not a function of the marginal constants...
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作者:Bell, J
摘要:The greatest authenticated number of children at one birth is 7. Cases of successive plural births and of the inheritance of plural births are discussed. In some cases inheritance is through the father and the pedigrees do not accord with R. A. Fisher''s conclusion that the paternal influence is exerted only in the production of diembryony. Whether the production of multiple births is a sign of vitality or of degeneracy is uncertain. The infant death rate is higher for plural than for single b...
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作者:Brandner, FA
作者单位:Iowa State University
摘要:Following the method of Pearson and Neyman for testing a composite hypothesis a criterion is obtained which for samples of equal size is exactly, and for other cases closely, related to the criterion (z1-z2) suggested by R. A. Fisher.
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作者:Pearson, K
摘要:For J-curves far removed from the exponential, Pearse''s and Martin''s corrections give more accurate results than Elderton''s.
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作者:McKay, AT
摘要:For samples of 4 from any universe 1 [less than or equal to] [beta]2 [less than or equal to] 7/3. For samples of 4 from a normal universe the most probable value of [beta]2 is 2.
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作者:Pearson, K
摘要:The equation and semi-invariants, differential equation, recurrence formulae, differential coefficients, mode and particular values of the frequency distribution of the difference of 2 variables, each of type III, are derived. The equation is closely allied to the Bessel function.
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作者:Pearson, ES; Wilks, SS
摘要:If each of k samples is drawn from some bivariate normal population, criteria are derived for testing the 3 hypotheses: H (that the samples all come from the same population) ; H 1 (that the samples come from populations with the same set of variances and correlations but having means with any value whatever); H 2 (that, assuming the population variances and correlations are the same, the population means are the same). The moments and distributions of these criteria are obtained. In many prob...
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作者:Baten, WD
作者单位:University of Michigan System; University of Michigan
摘要:Two samples from Michigan and Indiana were compared. The Indiana sample had significantly more bracts and flower arms than the Michigan. Even numbers of flower arms are more frequent than odd. For the Indiana sample the correlation between the number of bracts and of flower arms is + .624. Regression is linear. The average number of flower arms per bract is 4.93 for the Indiana sample and 428 for the Michigan.
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作者:Elderton, WP
摘要:In fitting an exponential curve the B1 and B2 found from the statistics should be reduced by h2/[mu]2. This is suggested as an approximation in all J-shaped curves.
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作者:Wishart, J
摘要:Methods are given for finding the semi-invariants of the distribution of moments of the sample, in terms of the population semi-invariants, from those of R. A. Fisher''s kr estimates, and for deducing many terms in Fisher formulae of high order from formulae of lower order.