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Dichotomisation using a distributional approach when the outcome is skewed
Odile Sauzet1, Mercy Ofuya2, Janet L Peacock3
1Epidemiology and International Public Health, School of Public Health, Universität Bielefeld, Bielefeld, Germany. odile.sauzet@uni-bielefeld.de.
A new distributional method allows researchers to dichotomize skewed health outcomes without losing information. This method provides a practical understanding of mean differences by presenting them as proportions with precision.
Area of Science:
- Biostatistics
- Health Research Methodology
- Statistical Modeling
Background:
- Dichotomizing continuous outcomes risks information loss, yet is often needed for risk communication.
- Existing distributional methods for dichotomization apply to normally distributed data, not skewed health outcomes.
- Skewed data is common in health research, necessitating alternative dichotomization approaches.
Purpose of the Study:
- To present a robust methodology for dichotomizing skewed continuous outcomes.
- To evaluate the method's validity and robustness using simulation studies.
- To enable the presentation of dichotomized outcomes with precision, reflecting mean comparisons.
Main Methods:
- Developed a distributional methodology for dichotomizing skewed variables.
- Utilized data from multiple observational studies for illustration.
- Conducted a simulation study to assess method robustness to non-normality.
Main Results:
- The skew-normal method is reliable for skewed variables like gestational age where transformations fail.
- Normal distributional methods are reliable for outcomes transformable to normal (e.g., birthweight, blood pressure, BMI) or with minor deviations from normality.
- The distributional approach effectively handles skewed data, allowing for precise proportion comparisons.
Conclusions:
- The developed distributional method is applicable to common skewed health data.
- Researchers can provide both continuous and dichotomized estimates without information or precision loss.
- This facilitates a practical understanding of mean differences in terms of proportions.
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