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Exploiting a matrix identity in the computation of the efficient score test for overdispersion in the Poisson regression model

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  • Moffatt, Peter G.

Abstract

The efficient score test for overdispersion in the Poisson regression model is derived explicitly, and it is shown that by virtue of a particular matrix identity, the test has a surprisingly simple form provided the Poisson regression contains an intercept. It is also pointed out that the test is inherently one-tailed.

Suggested Citation

  • Moffatt, Peter G., 1997. "Exploiting a matrix identity in the computation of the efficient score test for overdispersion in the Poisson regression model," Statistics & Probability Letters, Elsevier, vol. 32(1), pages 75-79, February.
    • Handle: RePEc:eee:stapro:v:32:y:1997:i:1:p:75-79
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    1. Cameron, A Colin & Trivedi, Pravin K, 1986. "Econometric Models Based on Count Data: Comparisons and Applications of Some Estimators and Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
    2. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
    3. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    4. Chesher, Andrew D, 1984. "Testing for Neglected Heterogeneity," Econometrica, Econometric Society, vol. 52(4), pages 865-872, July.
    5. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    6. Cameron, A. Colin & Trivedi, Pravin K., 1990. "Regression-based tests for overdispersion in the Poisson model," Journal of Econometrics, Elsevier, vol. 46(3), pages 347-364, December.
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    Keywords

    Count data Overdispersion test;

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