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

## Author Info

Listed author(s):
• Ben Jann

()

Registered author(s):

## Abstract

A new Stata command called -mgof- is introduced. The command is used to compute distributional tests for discrete (categorical, multinomial) variables. Apart from classic large sample $\chi^2$-approximation tests based on Pearson's $X^2$, the likelihood ratio, or any other statistic from the power-divergence family (Cressie and Read 1984), large sample tests for complex survey designs and exact tests for small samples are supported. The complex survey correction is based on the approach by Rao and Scott (1981) and parallels the survey design correction used for independence tests in -svy:tabulate-. The exact tests are computed using Monte Carlo methods or exhaustive enumeration. An exact Kolmogorov-Smirnov test for discrete data is also provided.

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File URL: http://repec.ethz.ch/ets/papers/jann_mgof.pdf
File Function: First version, 2008

## Bibliographic Info

Paper provided by ETH Zurich, Chair of Sociology in its series ETH Zurich Sociology Working Papers with number 2.

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 Length: 23 pages Date of creation: Jan 2008 Handle: RePEc:ets:wpaper:2 Contact details of provider: Web page: http://www.socio.ethz.ch/

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