Journal of the American Statistical Association volume 82, issue 398, P611-618 1987 DOI: 10.1080/01621459.1987.10478473 View full text
Chu-In Charles Lee

Abstract: Chi-squared tests are considered for testing homogeneity against an order restriction and for testing an order restriction against all alternatives on multinomial parameters. Closed-form expressions are obtained for the minimum chi-squared estimator and the Neyman modified chisquared estimator. The asymptotic equivalence between these chi-squared tests and the likelihood ratio test is established. The latter has been studied by Robertson (1978). Their asymptotic null distribution is the chi-bar-squared distri…

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