1993
DOI: 10.1093/biomet/80.1.27
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Bias reduction of maximum likelihood estimates

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Cited by 3,434 publications
(1,903 citation statements)
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References 27 publications
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“…We considered the sample size of 90 border cells to be too small and therefore used a penalized maximum likelihood estimation. This method results in approximately unbiased estimates of coefficients even with small sample sizes and separation issues (Allison 2008;Firth 1993;Heinze and Schemper 2002). We built three separate models; the first model used all border crossing data by pooling both entry sites and exit sites, the second one used all entry crossings, and the third one used all exit crossings.…”
Section: Logistic Regression Models Using Penalized Maximum Likelihoomentioning
confidence: 99%
“…We considered the sample size of 90 border cells to be too small and therefore used a penalized maximum likelihood estimation. This method results in approximately unbiased estimates of coefficients even with small sample sizes and separation issues (Allison 2008;Firth 1993;Heinze and Schemper 2002). We built three separate models; the first model used all border crossing data by pooling both entry sites and exit sites, the second one used all entry crossings, and the third one used all exit crossings.…”
Section: Logistic Regression Models Using Penalized Maximum Likelihoomentioning
confidence: 99%
“…The statistical significance of the effect size for D 50 was determined by the p-value of a t-test. Statistical significance for percent fine sediment was assessed by logistic regression using a bias correction for low numbers of successes (Firth 1993).…”
Section: Power To Detect Changes In Substrate Compositionmentioning
confidence: 99%
“…To test the hypothesis that tail-flagging deters snakes from striking, we used a logistic regression with penalized maximum-likelihood estimates in R ('logistf ' package in R; v. 2.13.0) [28][29][30]. Specifically, we examined whether snake strike behaviour (binary response variable) is a function of whether squirrels tail-flagged (binary explanatory variable) and included distance to snake, both as a covariate and interaction term, since it is a known determinant of snake strike success [27].…”
Section: (D) Strike Behaviourmentioning
confidence: 99%