-
作者:Neyman, J
作者单位:University of California System; University of California Berkeley
-
作者:Garwood, F
摘要:The usual practical maximum likelihood treatment of dosage-mortality problems (consisting of the transformation of % surviving into probits, adjustment and weighting of the latter, and calculation of successive regression lines) is shown to be equivalent to calculating successive corrections to the regression coefficients. The process is exactly equivalent to the method, given elsewhere by Fisher, of obtaining the maximum likelihood estimates of the parameters defining the distribution. A refi...
-
作者:Thompson, CM
摘要:The percentage points (or significance levels) are given to 6 significant figures for 99.5, 99, 97.5. 95, 90, 75, 50. 25, 10, 5, 2.5, 1 and 0.5% probabilities. Of these the 99.5, 97.5, 75 25 2.5 and 0.5%; levels do not appear in any previous tables. The number of degrees of freedom, v, takes the values: 1 (1) 30 (10) 100. The x 2 distribution occurs frequently in modern statistical techniques: e.g., in K. Pearson''s ''''goodness of fit test and in tests of Mendelian ratios.
-
作者:Simaika, JB
摘要:The power function of Hotelling''s generalization of Student''s t-test is known to depend only on a single function of the population parameters. This test is uniformly most powerful amongst all tests whose power functions depend on the same function of the population parameters. A similar property holds for the test of sig-nificance of the multiple correlation coefficient.
-
作者:Pearson, ES
摘要:This note is introductory to the 2 papers by Hsu and Simaika immediately following. It traces the development of certain ideas involved in the testing of statistical hypotheses, starting from Neyman and Pearson''s conception of a uniformly most powerful test. When a test concerns the values of c [greater than or equal to] 2 parameters a fresh formulation of the requirements of a satisfactory test becomes necessary. Several lines of attack are open; one of these is that followed by Hsu and Sima...
-
作者:Hartley, HO
-
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...
-
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...
-
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.
-
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...