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A Brief Introduction on Latent Variable Based Ordinal Regression Models With an Application to Survey Data

A brief introduction on latent variable based ordinal regression models with an application to survey data
Authors: Johannes Wieditz; Clemens Miller; Jan Scholand; Marcus Nemeth;

A Brief Introduction on Latent Variable Based Ordinal Regression Models With an Application to Survey Data

Abstract

ABSTRACTThe analysis of survey data is a frequently arising issue in clinical trials, particularly when capturing quantities which are difficult to measure. Typical examples are questionnaires about patient's well‐being, pain, or consent to an intervention. In these, data is captured on a discrete scale containing only a limited number of possible answers, from which the respondent has to pick the answer which fits best his/her personal opinion. This data is generally located on an ordinal scale as answers can usually be arranged in an ascending order, for example, “bad”, “neutral”, “good” for well‐being. Since responses are usually stored numerically for data processing purposes, analysis of survey data using ordinary linear regression models are commonly applied. However, assumptions of these models are often not met as linear regression requires a constant variability of the response variable and can yield predictions out of the range of response categories. By using linear models, one only gains insights about the mean response which may affect representativeness. In contrast, ordinal regression models can provide probability estimates for all response categories and yield information about the full response scale beyond the mean. In this work, we provide a concise overview of the fundamentals of latent variable based ordinal models, applications to a real data set, and outline the use of state‐of‐the‐art‐software for this purpose. Moreover, we discuss strengths, limitations and typical pitfalls. This is a companion work to a current vignette‐based structured interview study in pediatric anesthesia.

Keywords

FOS: Computer and information sciences, Models, Statistical, logistic regression, Statistics - Applications, Applications of statistics to biology and medical sciences; meta analysis, Methodology (stat.ME), ordinal regression, response distribution, Tutorial in Biostatistics, Surveys and Questionnaires, Data Interpretation, Statistical, Linear Models, Humans, Regression Analysis, latent variable, Applications (stat.AP), cumulative link models, factors influencing willingness to consent to participation, Statistics - Methodology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green
hybrid
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