13.07.2015 Views

A Simple Poverty Scorecard for the Philippines

A Simple Poverty Scorecard for the Philippines

A Simple Poverty Scorecard for the Philippines

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To illustrate <strong>the</strong> use of (8), suppose <strong>the</strong> desired confidence level is 90 percent (z= 1.64), <strong>the</strong> desired confidence interval is 2.0 percentage points (c = 0.02), <strong>the</strong> povertyline is <strong>the</strong> national line, and <strong>the</strong> sample will first be scored in 2009. The be<strong>for</strong>e-baselinepoverty rate is 31.4 percent ( p 2004= 0.314, Figure 2), and suppose α = 1.8. Then <strong>the</strong>{ }1.64n⎛ ⎞⎜ ⎟=⎝ 0.02 ⎠baseline sample size is = 1. 8 ⋅ 2 ⋅ ⋅ 0.0085 + 0.206 ⋅ [ 0.314 ⋅ ( 1 − 0.314)]1,280. Of course, <strong>the</strong> same group of 1,280 households is scored at follow-up as well.2For a given confidence level and confidence interval, sample sizes are generallysmaller when one sample is scored twice than when <strong>the</strong>re are two independent samples.40

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