Book ChapterDOI
Measures of Association for Cross Classifications III: Approximate Sampling Theory
Leo A. Goodman,William Kruskal +1 more
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In this paper, the authors derived large sample normal distributions with their associated standard errors for various measures of association and various methods of sampling and explained how the large sample normality may be used to test hypotheses about the measures and about differences between them, and to construct corresponding confidence intervals.Abstract:
The population measures of association for cross classifications, discussed in the authors' prior publications, have sample analogues that are approximately normally distributed for large samples. (Some qualifications and restrictions are necessary.) These large sample normal distributions with their associated standard errors, are derived for various measures of association and various methods of sampling. It is explained how the large sample normality may be used to test hypotheses about the measures and about differences between them, and to construct corresponding confidence intervals. Numerical results are given about the adequacy of the large sample normal approximations. In order to facilitate extension of the large sample results to other measures of association, and to other modes of sampling, than those treated here, the basic manipulative tools of large sample theory are explained and illustrated.read more
Citations
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Journal ArticleDOI
Black Militancy, Affective Attachment, and the Fear of Success in Black College Women.
Journal ArticleDOI
Efficacies of Measures of Association for Ordinal Contingency Tables
TL;DR: In this paper, the concept of statistical efficacy is applied to measures of association appropriate for contingency tables in which both classifications are ordinal, and measures considered are those based on pairs (such as Kendall's tau and Somers's D), those interpretable as productmoment correlations, Spearman's rho, and those related to Cohen's kappa.
Journal ArticleDOI
Phonotactic Responses of Female Northern Leopard Frogs (Rana pipiens) to Rana blairi, a Presumed Hybrid, and Conspecific Mating Trills
TL;DR: It is concluded that the mating trill of Rana pipiens may function as a premating isolating mechanism as predicted by the currently accepted theory.
Copula-type representation for random couples with Bernoulli margins
TL;DR: A copula-type representation for random couples with Bernoulli margins is proposed and it is stressed that satisfactory dependence measure should only depend on the discrete copula, and not on the margins.
Proceedings ArticleDOI
Real-time trade dispatch of a commercial VPP with residential customers in the PowerMatching city SmartGrid living lab
Rene Kamphuis,B. Roossien,Marcel Eijgelaar,Hans de Heer,Jorgen van de Velde,Albert van den Noort +5 more
TL;DR: An automated virtual power plant using software agents bidding in an electronic market has been set-up in a living lab environment in Hoogkerk near Groningen using the PowerMatcher approach as discussed by the authors.
References
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Book
Measures of association for cross classifications
Leo A. Goodman,William Kruskal +1 more
TL;DR: In this article, a number of alternative measures are considered, almost all based upon a probabilistic model for activity to which the cross-classification may typically lead, and only the case in which the population is completely known is considered, so no question of sampling or measurement error appears.
Book ChapterDOI
A Class of Statistics with Asymptotically Normal Distribution
TL;DR: In this article, the authors considered the problem of estimating a U-statistic of the population characteristic of a regular functional function, where the sum ∑″ is extended over all permutations (α 1, α m ) of different integers, 1 α≤ (αi≤ n, n).
Journal ArticleDOI
Ordinal Measures of Association
TL;DR: The three measures considered at length are the quadrant measure, Kendall's tau, and Spearman's rho as mentioned in this paper, with emphasis on the probabilistic and operational interpretations of their population values.
Journal ArticleDOI
The Central Limit Theorem for Dependent Random Variables
TL;DR: The central limit theorem has been extended to the case of dependent random variables by several authors (Bruns, Markoff, S. Bernstein, P. Levy, and Loeve) as mentioned in this paper.