A Survey Design for a Sensitive Binary Variable Correlated with Another Nonsensitive Binary Variable

Table 7

Cervical cancer data from Williamson and Haber [17].

Number of sex partners	Disease status of cervical cancer
	𝑌=0 (control)	𝑌=1 (case)
𝑋=0  (few, 0–3)	165𝑟1,𝜃1	103𝑟4,𝜃4
𝑋=1 (many, ⩾4)	164𝑟2,𝜃2	221𝑟3,𝜃3
Missing	43𝑟12,𝜃1+𝜃2	59𝑟34,𝜃3+𝜃4

Note: The observed counts and the corresponding cell probabilities are in parentheses. 𝑋 is a sensitive binary variate and 𝑌 is a non-sensitive binary variate.