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# classnotes2 - N h N ¯ x h where ¯ x h:= sample mean in...

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ST 3100 Notes September 17, 2009 John Bunge Stratified random sampling: H strata, with sizes N 1 , . . . , N H , H h =1 N h = N . Draw SRS of size n h from stratum h , independently across strata. Estimand is μ := 1 N entire pop’n x i . Stratified estimator or stratified mean
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Unformatted text preview: N h N ¯ x h , where ¯ x h := sample mean in stratum h . Var (¯ x st ) = H X h =1 ± N h N ² 2 ± 1-n h N h ² σ 2 h n h , and hence SE (¯ x st ) = H X h =1 ± N h N ² 2 ± 1-n h N h ² s 2 h n h ! 1 / 2 . 1...
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