Book ChapterDOI
Properties of Sufficiency and Statistical Tests
TLDR
In this article, the structure of small sample tests, whether these are related to problems of estimation and fiducial distributions, or are of the nature of tests of goodness of fit, is considered further.Abstract:
1—In a previous paper*, dealing with the importance of properties of sufficiency in the statistical theory of small samples, attention was mainly confined to the theory of estimation. In the present paper the structure of small sample tests, whether these are related to problems of estimation and fiducial distributions, or are of the nature of tests of goodness of fit, is considered further.read more
Citations
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Book ChapterDOI
Regression Models and Life-Tables
TL;DR: The analysis of censored failure times is considered in this paper, where the hazard function is taken to be a function of the explanatory variables and unknown regression coefficients multiplied by an arbitrary and unknown function of time.
Journal ArticleDOI
An Analysis of Transformations
George E. P. Box,David Cox +1 more
TL;DR: In this article, Lindley et al. make the less restrictive assumption that such a normal, homoscedastic, linear model is appropriate after some suitable transformation has been applied to the y's.
Journal ArticleDOI
Analysis of Covariance With Qualitative Data
TL;DR: In this article, the problem of finding consistent estimators in other models is non-trivial, however, since the number of incidental parameters is increasing with sample size, and it is well known that analysis of covariance in the linear regression model does not have this consistency property.
Journal ArticleDOI
Parameter Orthogonality and Approximate Conditional Inference
David Cox,Nancy Reid +1 more
TL;DR: In this paper, the authors propose a statisticalique du rapport de vraisemblance construite a partir de la distribution conditionnelle des observations, and donne les estimateurs du maximum de VRAISEMblance for les parametres de nuisance.
Journal ArticleDOI
A Comparative Study of Tests for Homogeneity of Variances, with Applications to the Outer Continental Shelf Bidding Data
TL;DR: In this paper, Monte Carlo simulations of various symmetric and asymmetric distributions, for various sample sizes, reveal a few tests that are robust and have good power, and these tests are further compared using data from outer continental shelf bidding on oil and gas leases.
References
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Book
Statistical Methods for Research Workers
TL;DR: The prime object of as discussed by the authors is to put into the hands of research workers, and especially of biologists, the means of applying statistical tests accurately to numerical data accumulated in their own laboratories or available in the literature.
Journal ArticleDOI
On the problems of the most efficient tests of statistical hypotheses.
J. Neyman,E. S. Pearson +1 more
TL;DR: The problem of testing statistical hypotheses is an old one as discussed by the authors, and its origin is usually connected with the name of Thomas Bayes, who gave the well-known theorem on the probabilities a posteriori of the possible causes of a given event.
Journal ArticleDOI
The information available in small samples
TL;DR: In this paper, the authors stress the importance of properties of sufficiency of small samples and show that for large samples, the joint distribution of the estimates tends to be normality, and the efficiency of the estimation to a maximum, little theoretical difficulty exists.