clusterrs_1 - sample N n M i ¯ x i , where ¯ x i is the...

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Two-stage cluster sampling Point estimator for mean per SSU October 19, 2009 Population Total # of PSU’s = N . # SSU’s in i th PSU = M i ,i =1 ,...,N . N i =1 M i =: K , i.e., K = total number of SSU’s in population. Sample Take SRS( N , n ) of PSU’s; then from i th sample PSU, take SRS( M i , m i ). Estimand: population mean μ = μ K = mean per SSU . Estimator: ¯ x cl := 1 K X PSU’s
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Unformatted text preview: sample N n M i ¯ x i , where ¯ x i is the sample mean in the i th sampled PSU. Variance estimate: ± 1 − n N ² 1 n ¯ M 2 s 2 b + 1 nN ¯ M 2 X PSU’s ∈ sample M 2 i ± 1 − m i M i ² s 2 i m i , where s 2 b = X PSU’s ∈ sample ( M i ¯ x i − ¯ M ¯ x cl ) 2 / ( n − 1) 1...
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This note was uploaded on 01/28/2012 for the course STATISTICS 3010 taught by Professor Ooz during the Spring '11 term at Cornell.

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