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作者：GODWIN, HJ
摘要：Let a sample from a normal population be x1, x2,.....xn, the mean deviation is[image] The frequency function of m is found by evaluating[image] over the region X1 [less/equal]x2[less/equal].......xn, [image]This integral is evaluated by a transformation of the quadratic from [SIGMA]x2. The frequency function of m is[image].
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作者：Geary, RC
摘要：Let [chi] and y be 2 estimates of an unknown parent population parameter [theta]. E. J. G. Pitman suggested that [chi] should be regarded as a close estimate of [theta] if the probability that
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作者：Hartley, HO
摘要：Let [chi]i, . . . , [chi]n be a sample of n observations drawn from a normal population with standard deviation. Let W be a general statistic calculated from this sample, where W > O and W is proportional to [sigma]. Let f(W) be the distribution function of W when [sigma]=l and let [image], the probability integral. Let S be an independent estimate of [sigma] based upon n degrees of freedom. Let S [image] and r=W/S. Let fn(r) be the random sample distribution of r and let its probability integ...
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作者：Scheffé, H
作者单位：Princeton University
摘要：The author shows how Miss Thompson''s tables, which were published in Biometrika vol. 32, can be used for finding confidence limits pertaining to the binomial distribution for small n.
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作者：Daniels, HE
摘要：Consider the 2 sets [chi]1, [chi]2, . . . [chi]n and y1, y2, . . . yn, both arranged in some given order relative to each other. They may be permuted to give n different ways of grouping the [chi]''s with the y''s. To each pair ([chi]i, [chi]j) assign a convenient score aij and to each pair (yi, yj) a score bij, where aij = aji and bij = bji. Let [image] where i and j run from 1 to n. The author shows that [GAMMA], a general correlation coeff., for special cases is equal to Kendall''s [tau] co...
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作者：Kendall, MG
摘要：Let [chi]i, [chi]i . . . , [chi]n be values measured about their mean, trend-free and defined at equal intervals of time. The kth serial correlation coefficient rk, is defined as the correlation between members of the series, k intervals apart. Correlograms are obtained if rk is plotted against k. If the series consists of a simple harmonic the correlogram reproduces this harmonic, hence the correlogram provides a criterion for distinguishing various kinds of oscillatory times series. This pap...
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作者：Tippett, LHC
摘要：In order to decide when to discard a tool, which is used in manufacturing an article which should meet specifications, one procedure is to take samples at regular intervals of time, measure the articles, and calculate the mean dimension for the samples and discard the tool when the mean reaches a certain value. The sample means are subject to sampling errors so that they do not measure exactly the true or population mean of all the articles produced at a given time. If the tools are discarded ...
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作者：Little, KL
摘要：Archaeological material from excavations at Castle Hill, Scarborough, revealed, at 3 levels, an early Iron Age village, a Roman signal station and 3 chapels, 1 earlier and the 2 later than the Norman conquest. Various measurements of skulls of these inhabitants were measured and compared with each other, with 7 other British series and with 7 other non-British series. Variabilities, as measured by the standard deviations, and coefficients of variation, were obtained for each of the 37 skull ch...
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作者：Merrington, M; Thompson, CM
摘要：The prefatory note, given by E. S. Pearson, shows how the distribution of Snedecor''s F can be obtained and also the exact distribution function. Tables are presented giving the F distribution for various degrees of freedom for the 50, 25, 10, 5, 2.5, 1, 0.5% points. These tables use the degrees of freedom for the greater variance of 1 to 10, 12, 15, 20, 24, 30, 40, 60, 120 and 00 and for the degrees of freedom for the smaller variance the values 1 to 30, 40, 60, 120 and 00. These tables are m...
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作者：Nicholson, C
摘要：A frequency distribution for the ratio [image] is obtained, where x and y are correlated. By a transformation, which substitutes for the correlation surface with its illiptical contours an equivalent system with circular contours having a common standard deviation for certain sections, the author shows that the cumulative frequency function can be expanded in the form [image] where h and q are defined by the given material and the B''s are certain definite integrals from 0 to h. The tables pre...
