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Should adjustment for covariates be used in prevalence estimations?
Wenjun Li1, Edward J Stanek, Elizabeth R Bertone-Johnson
1Division of Preventive and Behavioral Medicine, University of Massachusetts Medical School, Worcester, MA 01655, USA. Wenjun.Li@umassmed.edu
Gender adjustment in health surveys improves prevalence estimator accuracy only in specific scenarios. For accurate smoking prevalence estimates, consider adjustment only with larger sample sizes and significant differences in prevalence between genders.
Area of Science:
- Biostatistics
- Epidemiology
- Survey Methodology
Background:
- Covariate adjustment is common in health surveys to reduce prevalence estimator variance.
- Theoretical accuracy gains may be offset by uncertainty from estimating variance components in practice.
- Empirical guidelines are needed to determine when covariate adjustment enhances accuracy.
Purpose of the Study:
- To provide empirical guidelines on when covariate adjustment improves prevalence estimator accuracy.
- To illustrate the impact of gender adjustment on smoking prevalence estimation.
- To compare the accuracy of adjusted versus unadjusted prevalence estimators.
Main Methods:
- Simulation study comparing adjusted and unadjusted prevalence estimators.
- Varied population parameters: male proportion (30-70%), smoking prevalence (15-35%), male-to-female prevalence ratio (1-4).
- Calculated ratios of variances (adjusted/unadjusted) and determined thresholds for improved accuracy based on sample size and population characteristics.
Main Results:
- Gender adjustment often reduces accuracy in practical health survey settings.
- Accuracy improvement depends on sample size, gender proportions, and male-to-female prevalence ratios.
- For equal gender distribution and 20% prevalence, adjusted estimators are more accurate when male-to-female prevalence ratios exceed 2.4, 1.8, 1.6, 1.4, and 1.3 for sample sizes of 25, 50, 100, 150, and 200, respectively.
Conclusions:
- Covariate adjustment is less effective when prevalence ratios are near one, sample sizes are small, or risk factor prevalence is low.
- Gender adjustment for smoking prevalence using simple random sampling is recommended only for sample sizes exceeding 200.
- Careful consideration of study parameters is crucial when deciding on covariate adjustment.
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