-
作者:Pepper, J
摘要:A Pearson Type VII curve, based on the theoretical values of the first 4 moments of the third moment, does not fit the experimental sampling distribution satisfactorily. However for [image] both the Type VII and the normal curve fit satisfactorily. It is therefore better to work with [image]and assume that its distribution is normal.
-
作者:Wishart, J
摘要:The probability integral, mean, and variance of the square of the correlation ratio, in samples from a normal population for the case where the array totals are the same for all arrays, are derived. The mean and variance tend, as the size of the sample increases without limit, to the corresponding parameters of Fisher''s limiting distribution (B), the general semi-invariant of which is given.
-
作者:Rider, PR
摘要:Samples from populations differing greatly from the normal give distributions of like the theoretical distributions in samples from a normal population. The values of r in actual samples from a normal population of high correlation seem to follow the theoretical distribution. The distribution of r in samples from coarsely grouped correlation tables seems essentially the same as the theoretical distribution of r in samples from a continuous population in which the value of [rho] is that obtaine...
-
作者:Pearson, K
摘要:Analytical results are dc- . rived and illustrated numerically for samples from exponential and allied frequency curves, which are important as describing the random distribution of the occurrence of events in time or space. The correlation between adjacent rank-variants is high, but that between rank-intervals is small, and for many purposes negligible. The partial correlation of any 2 rank-variates or rank-intervals for a constant rank-variate or rank-interval lying between them is 0. The or...
-
作者:McKay, AT
摘要:The moments, semi-invariants, other constants and properties of the distribution are derived. The normal curve and Pearson''s Type III are special cases.
-
作者:Thompson, WR
作者单位:Yale University
摘要:Formulae are derived for the volume and other quantitative characters of microscopic configurations in terms of characters of their serial sections.
-
作者:Davies, OL
摘要:B1 and B2 of convex quadrilateral distributions and of various convex curves fall in the area bounded by .the lines[image]It is suggested that this may be a property of all convex curves.
-
作者:Pearson, K
摘要:In using the x 2 test to determine whether 2 samples are likely to have been drawn from the same unspecified parent population, the most likely parent population gives.[image].where N and N'' are the sizes and ns and n''s are the frequencies in the sth category of the 2 samples. In dealing with more than 2 samples it is best to compare them pair by pair rather than treat them as a contingency table.
-
作者:Stoessiger, BN; Morant, GM
摘要:The skeletons probably date from 1100-1600 A.D. The cephalic index (82.6) is distinctly higher than all other English mean values except the Spitalfields (79.4) and the Bronze Age crania (80.9), which are larger than the other two and probably not closely allied to them. The coefficient of racial likeness of the Hythe to the Spitalfields series is low, as are those with the modern populations of Bologna, Bohemia and Rumania. It is concluded that the Spitalfields crania are probably Roman and t...
-
作者:Wilks, SS
作者单位:Columbia University
摘要:The generalized variance, generalized correlation ratio, generalized 1[long dash][eta]2, generalized Student''s ratio, and generalized [lambda]-criterion for multivariate samples are denned, and their moments and distribution for samples from a normal population, as well as the moments and distribution of the ratio of independent generalized variances, of the ratio of the generalized variance to any of its principal minors, and of ratios of determinants of correlation coefficients, are derived.