-
作者:Pitman, EJG
摘要:Given m batches or blocks, each consisting of n individuals, to which are allocated at random n treatments, a test of the null hypothesis that the treatments are equivalent in their effects may be made without any assumption as to the population form by finding the distribution of W, the ratio of treatment to treatment plus error sums of squares, in the population generated by the chance allocation of the different treatments to the individuals in the batch. The author obtains the first 4 mome...
-
作者:Chapman, RA
摘要:100 samples of 16 values were drawn experimentally from a Poisson distribution with mean equal to 1. Each sample of 16 was divided into 4 equal subsets. For each sample 2 estimates of the variance of the population were computed, i.e., variance between means of subsets and variance within subsets. The distr. of the ratio of these 2 variances, or F, was compared with the theoretical distr. Agreement between actual and theoretical frequency of F, as measured by x2, was satisfactory. P(x2) was ab...
-
作者:Pearson, ES
摘要:This paper draws attention to the somewhat novel character of the problem to be faced in dealing with statistical tests based on the probability integral transformation (see work of R. A. Fisher, Karl Pearson and J. Neyman). The intuitional notions that have often served to determine the most appropriate test when dealing with normal variation are hardly applicable when, as in this case, we are concerned with a transformed variable following the rectangular distribution. The tests proposed by ...
-
作者:Martin, WJ; Cheeseman, EA
摘要:The relatively higher mortality among [female][female] than among [male][male] in the rural districts, using the mortality rate of England and Wales as a whole as a standard, has been examined for the 2 triennia, 1920-2 and 1930-2, by geographical divisions, age and cause of death. The ratio of Expected/Actual deaths is greater among [female][female] for all geographical divisions and all ages over 15. The causes of death which contributed largely to this phenomenon seemed to be phthisis and c...
-
作者:Berge, PO
摘要:This paper shows that if 2 variables x and y have means at zero, standard deviations
-
作者:Bayly, BEF
摘要:The author gives the numerical values to 13 decimal places of the constants of Gauss'' quadratic formula based on 12 ordinates.
-
作者:Von Bonin, G; Morant, GM
摘要:Measurements of 1167 undeformed o* skulls divided into 16 series are analyzed. Judging from standard deviations given, all these series represent populations which show a remarkably close approach to equality in variation, and 2 others are rejected because they represent groups which are decidedly more heterogeneous. The results of comparisons of the mean measurements tested by the method of the coefficient of racial likeness are given; there is a surprising diversity among the Indian types of...
-
作者:Sandon, F
摘要:Absenteeism recorded at 10 epochs in a weekly cycle in a day secondary school over a period of some 250,000 pupil-sessions at risk is used to obtain the Sickness Recovery Curve of the adolescent population (boys and girls) concerned. 2/3 of the children are fit within a day. By reversing the process the expected absences are detd. and some tendencies needing administrative attention noted. The method of utilizing the data is appropriate for any community recording absences in a comparable fash...
-
作者:Haldane, JBS
摘要:In genetical work it is often desirable to apply Pearson''s x2 test of agreement between observation and theory to groups of families containing so few members that the original test is inapplicable. The first 4 moments are calculated in a number of such cases, and the method of application is explained.
-
作者:Welch, BL
摘要:The z-test for treatment effects in randomized blocks and Latin square exps. is discussed. The distribution of z generated by randomization on the null hypothesis is compared with the z-distribution of normal theory. The comparison is made through the medium of a monotonic function U of z. The mean U on randomization agrees with the normal theory value, but the variance differs. The results are applied to uniformity trials. The discrepancy between the randomization and normal theories was not ...