-
作者:PAUL, SR; PLACKETT, RL
摘要:Data presented as contingency tables and classified by qualitative or quantitative methods are usually analyzed on the basis of a Poisson log linear model. The effect of Poisson mixtures, especially as represented by the negative binomial distribution, on statistical inference was examined. The main finding is that probabilities of rejection are increased, sometimes considerably. In the case of heterogeneous binary data, attention is given to the problems of analysis implied by Poisson mixtures.
-
作者:SEHEULT, A
摘要:A Neyman-Pearson test of identification in forensic science reflects, all the properties of a Bayes factor approach presented by Lindley in a previous volume of this journal.
-
作者:SCHUCANY, WR; PARR, WC; BOYER, JE
摘要:Several measures of dependence are examined for the Farlie-Gumbel-Morgenstern system, F, of joint distributions. Some bounds and relationships are shown for product-moment correlation coefficients and rank correlation coefficients. While the F system is an interesting construction for specificied marginals, it is limited to describing weak dependence. A quality control application using a related screening variable is given.
-
作者:EAVES, D; BURR, AH
作者单位:Simon Fraser University
摘要:The threshold hypothesis holds that the vector of L population proportions of flashes seen corresponding to L different flash intensities lies on a certain discrete family of curves in the unit L-cube. Tests are described of this sharp hypothesis against vague alternative hypotheses that these proportions are more or less unrelated. The calculations are described for the posterior distributions of the threshold number (N) of photons needed for flash perceptions and of a photon receptivity coef...
-
作者:YANG, MCK
摘要:It is often necessary to determine if, and to what extent, an incident A is related to a set of environmental random variables X = (X1,..., Xk)''. In the general population, X is assumed to be normally distributed with mean .mu. and covariance matrix .SIGMA.. A sample of X will be taken from the incident and nonincident groups, and, assuming that the incident rate p is approximately a linear function of X1,..., Xk, the sample sizes for detecting the dependence between A and X can be determined...
-
作者:BURNHAM, KP; OVERTON, WS
作者单位:Oregon State University
摘要:A model which allows capture probabilities to vary by individuals is introduced for multiple recapture studies on closed populations. The set of individual capture probabilities is modeled as a random sample from an arbitrary probability distribution over the unit interval. The capture frequencies are a sufficient statistic. A nonparametric estimator of population size is developed based on the generalized jackknife; this estimator is a linear combination of the capture frequencies. Tests of u...
-
作者:VENABLE, TC; BHAPKAR, VP
摘要:For the 1-response, 2-factor design with categorical data, Gart (1972) proposed a statistic to test the hypothesis of zero 2nd-order interaction. Unconditionally the statistic approaches .infin. with probability 1 when the interaction effect is 0 and the row and column effects are not 0. Thus the null hypothesis is rejected with probability 1 and the statistic is not valid for the hypothesis, unless certain other special conditions are true. Because the sample size must be extremely large for ...
-
作者:SMALL, NJH
摘要:One way of testing data for multivariate normality is to plot the ordered squared radii against their expected values. The approximation to the null distribution offered by the .beta. distribution is a useful improvement on that afforded by the .chi.2 distribution.
-
作者:WOOD, CL
摘要:The weak convergence of the sample distribution function based on the estimated residuals in a randomized block design is considered under the null hypothesis of normality of the experimental errors. This result serves as a basis for deriving the limiting distribution of the Kolmogorov-Smirnov statistic computed from the estimated residuals. Quantiles of Monte Carlo simulations of the limiting distributions for various numbers of treatments are given. These results are applicable to the 2-way ...
-
作者:WILLIAMS, DA