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Cochran, William G. (1977). Sampling Techniques (Third ed.). Wiley. ISBN 0-471-16240-X. Statistical Methods Applied to Experiments in Agriculture and Biology by George W. Snedecor (Cochran contributed from the fifth (1956) edition) ISBN 0-8138-1561-4; Planning and Analysis of Observational Studies (edited by Lincoln E. Moses and Frederick ...
The first of these sampling schemes is a double use of a sampling method introduced by Lahiri in 1951. [14] The algorithm here is based upon the description by Lohr. [13] Choose a number M = max( x 1, ..., x N) where N is the population size. Choose i at random from a uniform distribution on [1,N]. Choose k at random from a uniform distribution ...
Statistical Methods. Author: George W. Snedecor Publication data: 1937, Collegiate Press Description: One of the first comprehensive texts on statistical methods. Reissued as Statistical Methods Applied to Experiments in Agriculture and Biology in 1940 and then again as Statistical Methods with Cochran, WG in 1967. A classic text.
This is since stratified sampling removes some of the variability in the specific number of elements per stratum, as occurs under SRS. [citation needed] Relatedly, Cochran (1977) provides a formula for the proportional increase in variance due to deviation from optimum allocation (what, in Kish's formulas, would be called L). [3]: 116
where R 1 = N 11 + N 12 + N 13, and C 1 = N 11 + N 21, etc. . The trend test statistic is = (), where the t i are weights, and the difference N 1i R 2 −N 2i R 1 can be seen as the difference between N 1i and N 2i after reweighting the rows to have the same total.
In statistics, Cochran's theorem, devised by William G. Cochran, [1] is a theorem used to justify results relating to the probability distributions of statistics that are used in the analysis of variance.
The table shown on the right can be used in a two-sample t-test to estimate the sample sizes of an experimental group and a control group that are of equal size, that is, the total number of individuals in the trial is twice that of the number given, and the desired significance level is 0.05. [4]
Cochran's test, [1] named after William G. Cochran, is a one-sided upper limit variance outlier statistical test .The C test is used to decide if a single estimate of a variance (or a standard deviation) is significantly larger than a group of variances (or standard deviations) with which the single estimate is supposed to be comparable.