Question

Please help me on solution of this problem. Thanks

Compute design effect(d²) for the estimate prevalence of cell phone users under the cluster sample design.

N.B: Survey Methodology, 2nd edition by Robert M.Groves, page 143, problem 10(d). The answer of exercise 10 from the chapter 4(d) is not available on the solution manual for the textbook.

10) In a sample of a 10 clusters containing b 10 completed houschold inter- views each, the total number of persons and the total number of cell phone users among those in the table below. Total # of # of Cell Proportion of cell Cluster people Phone Users phone users 10 8 10 5 13 12 10 14 8 10 100 0.25 0.21 0.40 0.38 0.59 0.43 0.29 0.33 0.40 0.33 40 38 25 13 2 4 28 34 42 20 30 292 10 Total

Answer 1