Sample size was calculated for a paired design using the standard formula for the paired t-test:
where n is the number of pairs (infants), Δ is the expected mean paired difference in microscopy counts, σ
d is the standard deviation of paired differences,
corresponds to a two-sided type I error of α, and Z
1-β corresponds to the desired power. This approach is standard for crossover and within-subject comparisons in clinical research. Based on previous pediatric urinalysis research, particularly the work of Diviney and Jaswon, which highlighted the role of WBC and squamous epithelial cells as robust markers of contamination in non-toilet-trained infants, we assumed a detectable paired difference of 25% in epithelial cell counts and a standard deviation of paired differences of 1.5 cells. With a two-sided α = 0.05
and 80% power Z
1-β, the required sample size was 98 infants. To compensate for an anticipated dropout of ~7%, the target enrollment was set at 105 infants, which we achieved (
16).