Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey

Table 1

Variances necessary for sample size formulae.

Condom use	Stratum (ℎ)	𝑠^21ℎ−𝑗	𝑠^22ℎ−𝑗
Never use (𝑗=1)	ℎ=1, MSM aged 15 to 29 years	0.0058	0.0152
	ℎ=2, MSM aged 30 to 49 years	0.0075	0.0154
Occasionally use (𝑗=2)	ℎ=1, MSM aged 15 to 29 years	0.0641	0.0206
	ℎ=2, MSM aged 30 to 49 years	0.0383	0.0208
Consistently use (𝑗=3)	ℎ=1, MSM aged 15 to 29 years	0.0573	0.0141
	ℎ=2, MSM aged 30 to 49 years	0.0378	0.0172
Say no to anal sex (𝑗=4)	ℎ=1, MSM aged 15 to 29 years	0.0135	0.0081
	ℎ=2, MSM aged 30 to 49 years	0.0127	0.0054