Skip to main content

Table of Contents  |  Search Technical Documentation  |  References

NAEP Technical DocumentationPoststratification of Replicate Student Weights

Poststratification is described in Poststratification of Student Weights. This page presents the corresponding replicate factors and weights. The poststratification factors for each poststratification cell h for the reading assessment and writing assessment students respectively are:

PSFAC subscript h superscript left parenthesis r e right parenthesis end superscript left parenthesis r right parenthesis equals A subscript h divided by left bracket the summation over s k which are members of A subscript h superscript left parenthesis r e right parenthesis of SUBJADJ subscript s k times STUWGT subscript s k left parenthesis r right parenthesis times STNRADJ subscript d left parenthesis r right parenthesis times TRIM subscript s k plus the summation of s k that are members of A subscript h superscript left parenthesis e x right parenthesis of SUBJADJ subscript s k times STUWGT subscript s k left parenthesis r right parenthesis times TRIM subscript s k right bracket

PSFAC subscript h superscript left parenthesis w r right parenthesis end superscript left parenthesis r right parenthesis equals A subscript h divided by left bracket the summation over s k which are members of A subscript h superscript left parenthesis w r right parenthesis of SUBJADJ subscript s k times STUWGT subscript s k left parenthesis r right parenthesis times STNRADJ subscript d left parenthesis r right parenthesis times TRIM subscript s k plus the summation of s k that are members of A subscript h superscript left parenthesis e x right parenthesis of SUBJADJ subscript s k times STUWGT subscript s k left parenthesis r right parenthesis times TRIM subscript s k right bracket

where

The final replicate student weights Wsk(r) are equal to the following for operational reading assessment and operational writing assessment students, respectively:

For s k that are members of A subscript h superscript left parenthesis r e right parenthesis colon W subscript s k left parenthesis r right parenthesis equals STUWGT subscript s k left parenthesis r right parenthesis times TRIM subscript s k times SUBJADJ subscript s k times PSFAC subscript h superscript left parenthesis o right parenthesis end superscript left parenthesis r right parenthesis

For s k that are members of A subscript h superscript left parenthesis w r right parenthesis colon W subscript s k left parenthesis r right parenthesis equals STUWGT subscript s k left parenthesis r right parenthesis times STNRADJ subscript d left parenthesis r right parenthesis times TRIM subscript s k times SUBJADJ subscript s k times PSFAC subscript h superscript left parenthesis w r right parenthesis end superscript left parenthesis r right parenthesis

For excluded students, the final weights are different depending on whether the record for the excluded student is on the operational reading assessment file or on the operational writing assessment file. The excluded student weights can be written as:

For s k that are members of A subscript h superscript left parenthesis e x right parenthesis colon W subscript s k left parenthesis r right parenthesis equals STUWGT subscript s k left parenthesis r right parenthesis times TRIM subscript s k times SUBJADJ subscript s k times PSFAC subscript h superscript left parenthesis o right parenthesis end superscript left parenthesis r right parenthesis

where the "o" superscript for PSFAC is equal to "re" for the reading assessment file and equal to "wr" for the writing assessment file.


Last updated 06 November 2008 (RF)

Printer-friendly Version