Question: Dunn et al. (1999) also classified the phase II sample by gender. In the following table, the entries in columns 37 are the counts from

Dunn et al. (1999) also classified the phase II sample by gender. In the following table, the entries in columns 3–7 are the counts from the phase II sample in the categories:

Male Non-Case (MNC), Male Case (MC), Female Non-Case (FNC), and Female Case (FC).

Stratum m MNC MC FNC FC nlg ln 1049 237 8 17

a. Estimate the percentages of persons in each cell of a 2×2 contingency table classified by gender and case/non-case. Find the standard error of each entry in the table.

b. Find the design effect for each cell proportion Ṕ_ij and marginal proportion (Ṕ_i+ and Ṕ+j) in the table.

c. Use the Rao–Scott method (Section 10.3.2) to test H₀ : p_ij = p_i+p+j .

Stratum m MNC MC FNC FC nlg ln 1049 237 8 17 19 5 26 8 91 60 16 GHQ s 3 (low) GHQ = 4, 5 (medium) GHQ 2 6 (high) 48 272 42 5 28 28

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