JSM 2011 Online Program

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Abstract Details

Activity Number: 36
Type: Contributed
Date/Time: Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #301555
Title: Finite Population Correction (FPC) for NAEP Variance Estimation
Author(s): Lou Rizzo*+ and Keith Rust
Companies: Westat Inc. and Westat Inc.
Address: 1600 Research Blvd, Rockville, MD, 20850,
Keywords: Jackknife ; NAEP ; Finite Population Correction ; Fay's Method
Abstract:

Jackknife replication provides consistent variance estimators for finite population estimators only with careful adjustments to the jackknife replicate weights to incorporate finite population corrections (FPCs). This particular application from the National Assessment of Educational Progress has two stages of selection. We wish to incorporate an FPC for the first-stage of selection (schools), but not for the second-stage of selection (students). A method is developed for doing this in a way which is simple, allowing for its use by analysts without the need for explicit factors attached to sums of squares in variance estimation (the necessary adjustments are fully incorporated into the weights). The approximation is conservative in that it slightly overestimates the true variance. The paper develops this approximation and applies it to State NAEP data from the year 2000.


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