Work

Accurate approximations to the distribution of a statistic testing symmetry in contingency tables

Year: 2012

Type: book-chapter

Abstract:  This manuscript examines this task of approximating significance levels for a test of symmetry in square contingency tables. The null sampling distribution of this test statistic is the same as that of the sum of squared independent centered binomial random variables, weighted by their separate sample size; each of these variables may be taken to have success probability half. This manuscript applies an existing asymptotic correction to the standard chi-squared approximation to the distribution of the quadratic form of a random vector confined to a multivariate lattice, when the quadratic form is formed from the inverse variance matrix of the random vector. This manuscript also investigates non-asymptotic corrections to approximations to this distribution, when the separate binomial sample sizes are small.

Source: Institute of Mathematical Statistics collections

DOI: 10.1214/11-imscoll812

Authors: John E. Kolassa, Hema Gayat Bhagavatula

Institution: Rutgers, The State University of New Jersey

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

Award: Mathematical Methods for Approximately Exact Statistical Inference