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Biometrika 1983 70(2):367-372; doi:10.1093/biomet/70.2.367
© 1983 by Biometrika Trust
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Assessing the quadratic approximation to the log likelihood function in nonnormal linear models

SALOMON MINKIN

Department of Mathematics, York University Downsview, Ontario, Canada

A general and simple technique for finding a bound for the error in the quadratic approximation to the log likelihood function is proposed. This bound allows a likelihood interpretation for confidence regions constructed from the quadratic approximation. Applications are illustrated using logit and log linear models.

Key Words: Confidence ellipsoid • Error bound • Likelihood region • Logit model • Log linear model • Model reduction test


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