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作者:DANIELS, HE; KENDALL, MG
摘要:The sampling distribution of the rank correlation t is not completely specified by the parameter [tau]. However, the distribution is asymptotically normal, with approach to normality fairly rapid when tau is not close to 1. An upper limit to, and an unbiassed estimate of, the variance of t are given. Confidence intervals are obtained for [tau] assuming normality and, also, not assuming this but using two terms in a Gram-Charlier approximation. In the formulae (16.1) and (16.2) given as estimat...
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作者:KEMPTHORNE, O
摘要:A general approach to factorial designs of the type [rho][image] is given, in which simple effects and interactions are obtained by comparisons of totals for plots corresponding to lattice points on sets of parallel hy-perplanes in n-space. The method of attack is applied to confounding and partial replication, considered as different aspects of the same process. Confounding is discussed for 33, 34 and 35 systems; fractional replication, for 2[image] and 3[image] systems. Examples are given of...
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作者:KENDALL, MG
摘要:The variance of [tau] is obtained for the most general case where both rankings may contain ties. By simple specializations, results previously given by Sillitto (Biometrika, 1947) and surmised by Whitfield (Biometrika, 1947) are explicitly obtained.
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作者:ARMITAGE, P
摘要:Wilks has shown for infinite populations that optimum stratified sampling is more efficient (in general) than proportional sampling, which is more efficient than unrestricted random sampling. It is shown that these inequalities may be reversed in sampling from finite populations when the mean values in the strata are nearly equal, and when the population is small or the variances in the strata nearly equal.
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作者:VAJDA, S
摘要:A population subject to mortality dependent on age and which is supplied with entrants each year so as to keep the total population constant tends, in general, to a limiting age distribution, the intrinsic stationary population. If, in addition, the population is stratified and members of each stratum subject each year to promotion to the next higher stratum on the basis of age or of seniority in grade, a semi-stationary population results when the totals of each stratum can be held constant w...