Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/264820 
Year of Publication: 
2020
Series/Report no.: 
Working Paper No. 228
Publisher: 
Oesterreichische Nationalbank (OeNB), Vienna
Abstract: 
Pearson's chi-squared test for independence in two-way contingency tables is developed under the assumption of multinomial sampling. In this paper I consider the case where draws are not independent but exhibit serial dependence. I derive the asymptotic distribution and show that adjusting Pearson's statistic is simple and works reasonably well irrespective whether the processes are Markov chains or m-dependent. Moreover, I propose a test for independence that has a simple limiting distribution if at least one of the two processes is a Markov chain. For three-way tables I investigate the Cochrane-Mantel-Haenszel (CMH) statistic and show that there exists a closely related procedure that has power against a larger class of alternatives. This new statistic might be used to test whether a Markov chain is simple against the alternative of being a Markov chain of higher order. Monte Carlo experiments are used to illustrate the small sample properties.
Subjects: 
Goodness of Fit
Independence Tests
Cochrane-Mantel-Haenszel Test
Markov chain
JEL: 
C12
C14
C52
Document Type: 
Working Paper

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