2019
DOI: 10.1007/s11222-019-09860-6
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Mean and median bias reduction in generalized linear models

Abstract: This paper presents an integrated framework for estimation and inference from generalized linear models using adjusted score equations that result in mean and median bias reduction. The framework unifies theoretical and methodological aspects of past research on mean bias reduction and accommodates, in a natural way, new advances on median bias reduction. General expressions for the adjusted score functions are derived in terms of quantities that are readily available in standard software for fitting generaliz… Show more

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Cited by 219 publications
(255 citation statements)
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References 36 publications
(53 reference statements)
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“…Logistic models fitted with small samples have been shown to give biased estimates (Nemes et al . ); this was recognised and bias‐corrected estimates were reported (Kosmidis, ) with P values from likelihood‐ratio tests comparing sequentially reduced models.…”
Section: Methodsmentioning
confidence: 99%
“…Logistic models fitted with small samples have been shown to give biased estimates (Nemes et al . ); this was recognised and bias‐corrected estimates were reported (Kosmidis, ) with P values from likelihood‐ratio tests comparing sequentially reduced models.…”
Section: Methodsmentioning
confidence: 99%
“…In a greenhouse, we secured colonized or uncolonized (for paired controls) 2% ME agar plugs to healthy leaves using Parafilm (Bemis Company, Inc., Oshkosh, WI, USA; Sinclair and Dhingra ). We censused leaves for symptoms within one week, and compared the proportion of diseased leaves for each isolate to its paired control using bias‐reduced generalized linear models (brglm function; Kosmidis ), with binomial errors and probit link functions (Appendix : Table S4).…”
Section: Methodsmentioning
confidence: 99%
“…Analyses and plotting was performed using the “lme4” (Bates et al. ), “brglm” (Kosmidis ), “vegan” (Oksanen et al. ), “MuMIn” (Barton ) and “ggplot2” (Wickham ) packages in R (R Core Team ).…”
Section: Methodsmentioning
confidence: 99%