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作者：BROWNLEE, KA; LORAINE, PK
摘要：Constructions are given for completely orthogonal squares of side,any prime number or 4 or 8. It is pointed out that these make possible introduction of n + 1 factors all at n levels in an expt. involving n2 plots, but that all degrees of freedom for one main effect are confounded with 1st-order interactions. Orthogonal constructions in 3 and more dimensions are given, together with the properties of the corresponding exptl. designs.
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作者：LESLIE, PH
摘要：Previous work on a matrix representing a system of age-specific fertility and mortality rates is extended and amplified. The methods developed are applied to the detn. of the stable female birth-rate and what R. A. Fisher has called the total reproductive value of a population. The predator-prey relationship between 2 populations is also discussed.
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作者：BROWNLEE, KA; KELLY, BK; LORAINE, PK
摘要：Solns. of practical value are given for the case of an expt. involving n factors each at 2 levels to be set out in 2m plots, m
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作者：HALDANE, JBS
摘要：A rare event is observed in a out of n trials, where n is much greater than a2. It is shown that the cube root of the a posteriori distribution of the probability of occurrence is approximately normal, provided the a priori distribution is taken to be of the form [PHI] (x) = C/x(x-l).
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作者：PEARSON, ES
摘要：Haldane''s use of inverse probability may be avoided by a direct method of attack in most cases. In the 2-sample problem, with a1 and a2 observed and E(ai) = mi, 2 cases may be handled directly. If the Poisson approximation is valid and a decision is based on the conditional distribution of a1 for fixed a1 + a2, the test involves a binomial distribution. Alternatively, without restriction to the conditional set, a1 is approx. normally distributed about (a1+a2) A with variance (a1+a2) [lambda] ...
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作者：QUENOUILLE, MH
摘要：It had previously been shown by Rubin (1945) that the distribution of the serial coefficient, [image] with the xi normally and independently distributed about zero, is approximated by the distribution of the ordinary correlation coeff. based on n + 3 observations. Madow (1945) extended that result to obtain the distribution in the situation where the xi are connected by a linear Markoff scheme, [image] where the [epsilon]i are independently and normally distributed about zero. It is pointed ou...
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作者：NAIR, KR
摘要：The distrs. of McKay''s statistic [nu] = (xn - [image])/[sigma]rand of its studentized form (xn - [image])/s[nu] , where xn is the largest observation and [image] the mean in a sample of n from a normal distr. and sp is an independent estimate of cr based on y degrees of freedom, are obtained. An extensive table of the probability integral of [mu] and a less extensive table of the first 3 coefficients in Hartley''s (Biometrika, 1944) expansion for the studentized form including terms in [nu]-2...
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作者：DAVID, FN; JOHNSON, NL
摘要：The probability integral transformation, which leads to a rectangular distr. in case a simple hypothesis specifies the parameters of a known probability law, is investigated for composite hypotheses in which a location parameter or a location parameter and a scale parameter are to be estimated from the observed values. The distr. of the transformed variate does not depend on the parameters, but does depend on the functional form of the probability law. All of the distrs. obtained appear to be ...
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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.
