Multinomial goodness-of-fit: large sample tests with survey design correction and exact tests for small samples

Jann, Ben (2008). Multinomial goodness-of-fit: large sample tests with survey design correction and exact tests for small samples. Stata journal, 8(2), pp. 147-169. Stata Press 10.1177/1536867X0800800201

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I introduce the new mgof command to compute distributional tests for discrete (categorical, multinomial) variables. The command supports largesample tests for complex survey designs and exact tests for small samples as well as classic large-sample x2-approximation tests based on Pearson’s X2, the likelihood ratio, or any other statistic from the power-divergence family (Cressie and Read, 1984, Journal of the Royal Statistical Society, Series B (Methodological) 46: 440–464). The complex survey correction is based on the approach by Rao and Scott (1981, Journal of the American Statistical Association 76: 221–230) and parallels the survey design correction used for independence tests in svy: tabulate. mgof computes the exact tests by using Monte Carlo methods or exhaustive enumeration. mgof also provides an exact one-sample Kolmogorov–Smirnov test for discrete data.

Item Type:

Journal Article (Original Article)

Division/Institute:

03 Faculty of Business, Economics and Social Sciences > Social Sciences > Institute of Sociology

UniBE Contributor:

Jann, Ben

Subjects:

300 Social sciences, sociology & anthropology

ISSN:

1536-867X

Publisher:

Stata Press

Language:

English

Submitter:

Ben Jann

Date Deposited:

19 Apr 2016 16:16

Last Modified:

02 Apr 2024 21:02

Publisher DOI:

10.1177/1536867X0800800201

BORIS DOI:

10.7892/boris.67673

URI:

https://boris.unibe.ch/id/eprint/67673

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