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The 1995/1996 Household Income, Expenditure - (PDF, 101 mb ...

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<strong>The</strong> dependent variable is the tth observation on Y in the gth group, II is the<br />

overall (or "grand") mean, and E t1c is a stochastic disturbance term. <strong>The</strong> sum<br />

of the G g will equal zero. <strong>The</strong> regression model is<br />

Y tg = 13 1 + 13 2 X t2 + 13 3 X t3 + ... + 13 G X tG + E tg<br />

where X tg = 1 if the .observation belongs in the gth group and<br />

= 0 otherwIse. (g = 2,3,•..,G)<br />

<strong>The</strong> intercept in the regression model (f3 1 ) will equal II + 01 of the ANOVA<br />

model, f3 1 + f3 2 will equal II + 02' etc.<br />

Appendix LD Weighting Procedures and Estimation15<br />

Basic Weight<br />

<strong>The</strong> probability of selection of the households in a particular sample shiakha<br />

or village is:<br />

where:<br />

l\ij = probability of selection for the sample households in the j-th<br />

sample "chunk" in the i-th sample PSU (shiakha/village) in the hth<br />

stratum (governorate, urban/rural)<br />

91= nu<strong>mb</strong>er of sample "chunks" to be selected in the<br />

h-th stratum<br />

1.36<br />

l\hi = total population (measure of size) in the 1986 census frame for the<br />

i-th sample PSU in the<br />

h-th stratum<br />

l\h = total population in the 1986 census frame for the h-th stratum<br />

qi = total nu<strong>mb</strong>er of "chunks" into which the i-th PSU in the h-th<br />

stratum is divided<br />

111tIij = nu<strong>mb</strong>er of in-scope households selected in the j-th sample<br />

"chunk" in the i-th sample PSU in the h-th stratum<br />

(generally equal to 30, or 15 in the case of the sample for<br />

the first 6 months)<br />

15 Excerpted from Megill (<strong>1995</strong>).<br />

total nu<strong>mb</strong>er of housing units in the updated listing for the

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