## Abstract We consider in this paper, the behaviour of a class of the CRESSIE READ (1984) power divergence test statistics indexed by parameter ฮป โ __I__ (ฮป), with the modified __X__~2~ test statistics (LU) proposed by LAWAL and UPTON (1984), for sparse contingency tables ranging from the 3ร3 to t
Bounds on the Size of the Likelihood Ratio Test of Independence in a Contingency Table
โ Scribed by W.Y. Loh; X.J. Yu
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 323 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0047-259X
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โฆ Synopsis
Bounds are obtained on the limiting size of the nominal level- (\alpha) likelihood ratio test of independence in a (r \times c) contingency table. The situations considered include sampling with both marginal totals random and with one margin fixed. Upper and lower bounds are obtained. The limiting size is greater than (\alpha) when some marginal probabilities are small. As the degrees of freedom increase, the limiting size tends to 1 for all (\alpha)-values. C 1993 Academic Press. Inc.
๐ SIMILAR VOLUMES
I n this paper the exact distribution function of VOTAW's likelihood ratio criterion L has been obtained in the form of an infinite series by applying MELLIN'S transformation on the moments and then by using the asymptotic expansion for log r(s + h). The author has actually calculated the values of
We address the problem of tests of homogeneity in two-way contingency tablea in cam-control studies when the case category is subdivided into k subcategoriea. In this situation, we have two cells with large frequencies and 2 x k cells with frequencies that become small as k increaeee. We propose two