stemcell

A data set from the 2006 General Social Survey that shows the
relationship in the United States between opinion about funding
stem cell research and the fundamentalism/liberalism of one&lt;U+2019&gt;s
religious beliefs, stratified by gender.

datasets

Estimation and inference from generalized linear models based on various methods for bias reduction and maximum penalized likelihood with powers of the Jeffreys prior as penalty. The 'brglmFit' fitting method can achieve reduction of estimation bias by solving either the mean bias-reducing adjusted score equations in Firth (1993) <doi:10.1093/biomet/80.1.27> and Kosmidis and Firth (2009) <doi:10.1093/biomet/asp055>, or the median bias-reduction adjusted score equations in Kenne et al. (2017) <doi:10.1093/biomet/asx046>, or through the direct subtraction of an estimate of the bias of the maximum likelihood estimator from the maximum likelihood estimates as in Cordeiro and McCullagh (1991) <https://www.jstor.org/stable/2345592>. See Kosmidis et al (2020) <doi:10.1007/s11222-019-09860-6> for more details. Estimation in all cases takes place via a quasi Fisher scoring algorithm, and S3 methods for the construction of of confidence intervals for the reduced-bias estimates are provided. In the special case of generalized linear models for binomial and multinomial responses (both ordinal and nominal), the adjusted score approaches to mean and media bias reduction have been found to return estimates with improved frequentist properties, that are also always finite, even in cases where the maximum likelihood estimates are infinite (e.g. complete and quasi-complete separation; see Kosmidis and Firth, 2020 <doi:10.1093/biomet/asaa052>, for a proof for mean bias reduction in logistic regression). 'brglm2' also provides pre-fit and post-fit methods for detecting separation and infinite maximum likelihood estimates in binomial response generalized linear models.

Ioannis Kosmidis

brglm2

Bias Reduction in Generalized Linear Models

Kjell Konis

Nicola Sartori

stemcell function

A data frame with 24 rows and 4 variables:<dl class="dl-horizontal"><dt>research</dt><dd>opinion about funding stem cell research with levels <code>definitely</code>, <code>probably</code>, <code>probably not</code>, <code>definitely not</code></dd><dt>gender</dt><dd>the gender of the respondent with levels <code>female</code> and <code>male</code></dd><dt>religion</dt><dd>the fundamentalism/liberalism of one&lt;U+2019&gt;s religious
beliefs with levels <code>fundamentalist</code>, <code>moderate</code>,
<code>liberal</code></dd><dt>frequency</dt><dd>the number of times a respondent fell in each of the combinations of levels for <code>research</code>, <code>religion</code> and <code>gender</code></dd></dl>

stemcell: Opinion on Stem Cell Research and Religious Fundamentalism

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