Showing papers in "Journal of Statistical Planning and Inference in 1979"

TL;DR: A general definition of a set of projectors for decomposing a vector as the sum of vectors belonging to disjoint subspaces not necessarily spanning the whole space is given in this article.

TL;DR: In this article, extended optimality criteria for robust designs are applied to response surface problems and methods of calculation are described and the criteria illustrated with several examples; the extended criteria discriminate among designs equivalent by other criteria.

TL;DR: In this paper, the authors compared the performance of designs under various optimality criteria for extrapolation problems, and showed that the E-optimum design performs well in terms of other criteria, as well as for the extrapolation to larger balls.

TL;DR: In this article, the asymptotic distribution of the errors of misclassification in using the Linear Discriminant Function (LDF) is investigated, and the effects of nonnormality on these errors are studied.

TL;DR: In this paper, the authors studied collineation groups of finite projective planes which do not leave invariant any point, line or triangle and contain a non-trivial perspectivity.

TL;DR: A connection between a balanced fractional 2m factorial design of resolution 2l + 1 and a balanced array of strength 2l with index set {μ0, μ1,…, μ2l} was established by Yamamoto, Shirakura and Kuwada.

TL;DR: In this article, it was shown that the Montonicity of a random sample of size n drawn from the distribution of a discrete random variable is equivalent to the IFR (DFR) property.

TL;DR: In this paper, the authors relax the classical assumption that all the interactions are negligible by assuming that (at most) one of them may be nonnegligible, and discuss designs which allow the search and estimation of this interaction, along with the estimation of the general mean and the main effects.

TL;DR: Bose and Clatworthy as mentioned in this paper showed that the parameters of a two-class balanced incomplete block design with λ 1 = 1, λ 2 = 0 and satisfying r

TL;DR: In this paper, it was shown that certain inequalities known for binary, equireplicated, equiblock-sized block designs remain valid for n-ary block designs with unequal block sizes.

TL;DR: In this article, the bias and variability of two balanced half-sample variance estimators when unique statistical weights are assigned to the sample individuals are considered. But the variance estimator based on the second method are subject to much less bias and variance than those based on a first-order balanced half sample estimator.

TL;DR: In this paper, it was shown that k ≥ (k 1 − x)2 + λ if equality holds, D1 is called a tight subdesign of D. In the special case of λ 1 = λ, the inequality reduces to that of R.C. Bose and S.S. Shrikhande and tight sub-designs then correspond to their notion of Baer subdesigns.

TL;DR: In this paper, a multivariate "errors in variables" regression model is proposed which generalizes a model previously considered by Gleser and Watson (1973), and the consistency properties of these estimators are investigated.

TL;DR: In this article, the problem of embedding an orthogonal array of strength 2 into a complete O(n) O(1)-O(n)-array is discussed.

TL;DR: In this paper, the authors derived the surprisingly large maximum frequencies of misclassification when simple effects are judged using main effects when interactions are insignificant using the Monte Carlo simulation methodology, and showed that the interpretation difficulties of the 2 3 factorial experiments have been illustrated previously using Monte Carlo simulations.

TL;DR: In this paper, a simple technique for constructing balanced, essentially rectangular, designs of arbitrary size is developed, based upon a set of twelve symmetric elementary arrays which possess a remarkable self-building property.

TL;DR: In this article, some ANOVA models are presented where the treatment effects can assume, under the alternative, a few discrete values with prescribed probabilities, and the power function, of the test that all treatment effects are zero, is approximated by a Laguerre series using the methods of Tiku (1965).

TL;DR: In this paper, the preference expressed by Berkson for the heuristic test statistic T N with standard normal distribution testing equality of two binomial probabilities in favour of Fisher's conditional exact test statistic was rejected.

TL;DR: In this paper, the authors studied the existence or non-existence of arcs with weighted points in a finite projective plane and obtained some particular results about the existence of these arcs.

TL;DR: In this article, the authors considered the problem of embedding an orthogonal array into a complete array A(n, q ∗, μ ∗ ) for the case d ≥ 3 and showed that such an embedding is always possible if n ≥ 2(d − 1)2(2d2 − 2d + 1).

TL;DR: In this paper, patchwork and geometric methods are combined to construct Youden hyperrectangles for many parameter values, which are higher-dimensional generalizations of balanced block designs and generalized Youden designs.

TL;DR: In this article, the power function of the F -test is uniformly maximized (U-optimality) under the assumption that all main effects of the first factor vanish numbers n ∗ ij are given.

TL;DR: In this article, a family of designs is defined as a set of designs whose parameters can be represented as functions of an auxiliary variable t where the design will exist for infinitely many values of t. In some instances, notably coding theory, the existence of families is essential to provide the degree of precision required which can well vary from one coding problem to another.

TL;DR: In this paper, the classical two-sample problem is extended to the case where the distribution functions of the observable random variables are specified functions of unknown distribution functions and the null hypotheses to be tested or the parameters to be estimated relate to these unknown distributions.

TL;DR: In this paper, an explicit expression for the norm of the alias matrix A of a design can be used as a measure for selecting a design, and the expression for A is given for a balanced fractional 2m factorial design of resolution 2l + 1 which obtained from a simple array with parameters (m; λ0, λ1,…, etc., λm).