2020
DOI: 10.1111/bmsp.12195
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Modelling monotonic effects of ordinal predictors in Bayesian regression models

Abstract: Ordinal predictors are commonly used in regression models. They are often incorrectly treated as either nominal or metric, thus under‐ or overestimating the information contained. Such practices may lead to worse inference and predictions compared to methods which are specifically designed for this purpose. We propose a new method for modelling ordinal predictors that applies in situations in which it is reasonable to assume their effects to be monotonic. The parameterization of such monotonic effects is reali… Show more

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Cited by 116 publications
(99 citation statements)
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“…Since vaccination intent is modelled as an ordered variable, one can expect the treatment to impact vaccination intent monotonically. To this end, W is modelled as a monotonic ordered predictor 63,64 . Using W as a predictor for Y has two advantages: it (1) controls for sampling discrepancies between the treatment and control groups, and (2) allows for the treatment to differentially affect those with different prior vaccination intents.…”
Section: Selection Of Imagesmentioning
confidence: 99%
“…Since vaccination intent is modelled as an ordered variable, one can expect the treatment to impact vaccination intent monotonically. To this end, W is modelled as a monotonic ordered predictor 63,64 . Using W as a predictor for Y has two advantages: it (1) controls for sampling discrepancies between the treatment and control groups, and (2) allows for the treatment to differentially affect those with different prior vaccination intents.…”
Section: Selection Of Imagesmentioning
confidence: 99%
“…We did Bayesian binomial regression models (Carpenter et al 2017;Bürkner 2017;Bürkner & Charpentier 2020) to test the reliability of our effects. For clarity purposes, we will only report and explain the strong effects we found in the statistical analysis.…”
Section: Resultsmentioning
confidence: 99%
“…Real stage was modeled as a monotonic effect [58]. The interaction term, real stage à rater, accounts for pathologist/rater bias.…”
Section: Quantitative Assessment Of Concordancementioning
confidence: 99%