This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Secondorder inclusion probability: the probability, denoted ij , that a given pair of units (say i and j ) will appear in the sample, under a given design. SRS: ij n ( n 1) / ( N ( N 1)) , 1 i 6 = j N . Population total: := N i =1 x i . Population mean: := 1 N N i =1 x i . Population variance: 2 := 1 N 1 N i =1 ( x i ) 2 . HorvitzThompson estimator (HTE) of the population total: = i sample x i i . HTE of mean: = 1 N i sample x i i . SRS: = N x ; = x . HTE is unbiased under any design: E ( ) = . 1 SRS: Var ( N x ) = N 2 (1 n/N ) 2 n . Finite population correction (fpc): 1 n/N . E ( s 2 ) = 2 . SE ( N x ) = N q 1 n/N s n . SE ( x ) = q 1 n/N s n . 2...
View Full
Document
 Spring '11
 Ooz

Click to edit the document details