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作者:FINNEY, DJ
摘要:Tables are given for the test of] significance of deviation from proportionality in a 2 x 2 table according to Fisher''s exact method at the 0.05, 0.025, 0.01 and 0.005 significance levels (single-tailed test) for tables in which one pair of marginal totals each do not exceed 15. It is noted that certain somewhat larger 2x2 tables may be handled by observing that they are more extreme than significant 2x2 tables which are given or less extreme than non-significant ones. Tables which are much l...
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作者:STEVENS, WL
摘要:Data are given for a biological expt. which was neither orthogonal nor balanced. A routine is given for the arithmetical computations necessary to approximate the constants usually fitted by solving the set of simultaneous linear equations.
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作者:YATES, F
摘要:A p x q contingency table is usually tested for independence by a Chi-square test with (p-1)(q-1) degrees of freedom. If the groupings are directly or indirectly based on numerical scales, a test which takes into account trend effects is desirable. It is suggested that a test of significance of the regression coefficients might be useful. The calculations for this test are formalized.
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作者:HOFFDING, W
摘要:Kendall in 1938 obtained the sampling distribution of [tau] from a universe in which all possible rankings are equally likely and showed that the distribution is asymptotically normal. In terms of the probabilities [rho], that 2 members (x 1, y 1) and (x 2, y 2) of the universe are concordant (they are concordant when (x 1[long dash]x 2) (y 1[long dash]y 2) > 0) and [kappa], that of 3 members one is concordant with the other 2, it is shown that the distribution of [tau] is asymptotically norma...
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作者:GEARY, RC
摘要:Universal normality may be tested by a field of tests for kurtosis given by [alpha](c) = 1/[image] [SIGMA]
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作者:BARNARD, GA
摘要:The note points up the areas of agreement and disagreement between the 2 papers on 2 X 2 tables by Barnard and by Pearson in the same issue of Biometrika.
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作者:PEARSON, ES
摘要:In an effort to end the controversy which has raged since 1941, Pearson, following Barnard, has differentiated between 3 distinct situations in which data may be classed in a 2 X 2 table. The 3 situations produce tables in which (a) both margins are fixed, (b) one is fixed and (c) neither is fixed. Corresponding to the first, the appropriate test is Fisher''s exact distribution. Corresponding to the others, Pearson suggests a compound probability consisting of the probability of the observed m...
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作者:WHITFIELD, JW
摘要:The use of [tau] for tied rankings (Kendall; Biometrika, 1946) is extended to the case where one variable is ranked and the other expressed as a dichotomy, the dichotomy being viewed as a ranking in which all data are tied at two values only. In applying the method to the case of the 2X2 table, a slight discrepancy is noted with the usual x 1 calculation.
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作者:DAVID, FN
摘要:The hypothesis that there is randomness within a sequence of alternatives is to be tested against the field of alternate hypotheses that the dependence is of the type in simple Markoff chains. A conditional power function formula is obtained for sequences of [gamma]1 E''s and [gamma]2''Es arranged in k sets. The function is plotted for a few typical sequences.
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作者:MORAN, PAP
摘要:It is shown that the covariance of 2 time series, each generated by weighted sums of sequences of independent random variables having the same distribution (for each series), is asymptotically normally distributed. The variance of the distribution is calculated in terms of the weights. It is pointed out that the wts. may not be detd. from the sample and used to determine the variance. It is instead necessary to decide first the orders and coeffs. of the stochastic difference equations which ge...