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作者：Pearson, ES
摘要：In this paper it is pointed out that the reliability of the estimate of mean density of a bacterial population obtained by the dilution method may be expressed in a different way from that followed by R. D. Gordon in the preceding contribution. Many statisticians would probably prefer to obtain confidence or fiducial limits for the unknown density [rho], rather than to make an appeal to Bayes'' theorem, using the concept of inverse probability. It is pointed out how a preliminary solution on t...
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作者：Bishop, DJ
摘要：The use of the Neyman and Pearson likelihood ratio method has enabled S. S. Wilks (Biometrika, 24, 471-94, 1932) to obtain a comprehensive criterion for testing the hypothesis that the corresponding variances and covariances in k samples drawn from normal multivariate populations are equal. The true sampling distribution of this criterion, l1, when the hypothesis tested is true, being unknown, methods of approximating to it are considered in the case where each of the samples is of the same si...
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作者：Jeffreys, H
摘要：A distinction is drawn between randomness in the design of expts. and randomness in the sense of mutual irrelevance of the errors. The latter is what is needed for the validity of most statistical methods, and is not necessarily improved by the former. Examples are given from various subjects. The author agrees in general with Fisher''s recommendation to estimate and eliminate known effects as accurately as possible and randomize the rest.
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作者：Risdon, DL
摘要：The material consists of 695 skulls and smaller lumbers of other bones of the skeleton from four tombs used about 700 B.C. Judging from measurements, the series represent the same population, which was racially homo geneous and of Egyptian origin. The avg. age at death of the adults was peculiarly low. Remarks on anomalous specimens[long dash]including three trepanned skulls and two exhibiting marked artificial deformation[long dash]are given, together with individual measurements and type con...
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作者：David, FN
摘要：The distribution of the criterion [psi]2 is discussed for the case when the hypothesis tested is true. The conclusion is reached that Neyman''s assumption that [psi]2 is distributed as x2 is valid for samples of 20 and over.
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作者：Gordon, RD
作者单位：University of California System; University of California San Diego; Scripps Institution of Oceanography
摘要：In estimating bacterial densities in solutions, direct microscopic counting and preparation of plates for plate-counting are often impractical or impossible. In such cases resort is often had to the method of successive dilutions, which is described. Several ways of interpreting data so obtained have previously come into some use, notably tables of modes by Halvorson and Ziegler. Their mode estimate is subject to theoretical objections, and has been found experimentally to disagree with direct...
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作者：Johnson, NL; Welch, BL
摘要：Formulae are given for calculating the cumulants of the x-distribution, as far as the 6th, with considerable accuracy.
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作者：Haldane, JBS
摘要：In this note the author shows how a rather fuller x2 analysis of the mendelian data of the preceding paper results in the extraction of some further information of interest.
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作者：Roberts, E; Dawson, WM; Madden, M
摘要：Observed Mendelian ratios obtained in rats, mice and rabbits are compared to the theoretical expectations. From 1 to 5 allelic pairs are involved, giving 2 to 32 classes. For obtaining probabilities with 2 classes the formula [image] were used. Among 65 ratios, 5 depart significantly from the theoretical.
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作者：Morgan, WA
摘要：The Neyman and Pearson likelihood ratio method is applied to derive a criterion for testing whether the variances in a sample from a normal bivariate population are equal. The test obtained depends only on the sample values of the variances and correlation coefficients but its power increases with the numerical value of the population correlation p. Being independent of p it appears to be the appropriate test criterion to use when p is unknown.
