Biometrika

最新文章

• TESTS OF SIGNIFICANCE IN MULTIVARIATE ANALYSIS AI翻译
  作者：RAO, CR
  摘要：A unified approach to the problem is given, making use of the concept of analysis of dispersion in analogy with the analysis of variance for the univariate case. The matrix of mean products giving unbiased estimates of the variances and covariances is called the error matrix; that of mean products yielding unbiased estimates only under the null hypothesis, the matrix due to deviation from the hypothesis. The approp. test criterion is a root of a determinantal equation. Wilk''s A criterion is r...
• PROOFS OF THE DISTRIBUTION LAW OF THE 2ND ORDER MOMENT STATISTICS AI翻译
  作者：WISHART, J
  摘要：The various proofs given in the literature of the distr. of 2d order moment statistics in samples from a normal multivariate population are catalogued and a new geometrical argument due to David Fog is discussed in some detail.
• THE RELATIONSHIP BETWEEN FINITE GROUPS AND COMPLETELY ORTHOGONAL SQUARES, CUBES, AND HYPER-CUBES AI翻译
  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.
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS AI翻译
  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.
• FRACTIONAL REPLICATION ARRANGEMENTS FOR FACTORIAL EXPERIMENTS WITH FACTORS AT 2 LEVELS AI翻译
  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
• THE PRECISION OF OBSERVED VALUES OF SMALL FREQUENCIES AI翻译
  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).
• NOTE ON HALDANE PAPER REGARDING THE TREATMENT OF RARE EVENTS AI翻译
  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] ...
• SOME RESULTS IN THE TESTING OF SERIAL CORRELATION COEFFICIENTS AI翻译
  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...
• THE DISTRIBUTION OF THE EXTREME DEVIATE FROM THE SAMPLE MEAN AND ITS STUDENTIZED FORM AI翻译
  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...
• THE PROBABILITY INTEGRAL TRANSFORMATION WHEN PARAMETERS ARE ESTIMATED FROM THE SAMPLE AI翻译
  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 ...