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NAEP Technical DocumentationReplicate Variance Estimates at the Student Level

        

Grade 4 Replicate Variance Estimates

Grade 8 Replicate Variance Estimates

Grade 12 Replicate Variance Estimates

The first step in computing the replicate weights was to compute replicate student base weights, as follows:

w sub i j of r equals w sub i of r times YRN sub i times INT sub i j times SHG sub i

None of the student-level factors were replicated: replication is at the school level alone. The next step was to replicate the student nonresponse adjustments. The student trimming step was not replicated. The replicate pre-poststratification weight was

prew sub i j of r equals w sub i j of r times SCNR sub k of r times STUDTRIM sub i times HORG sub i j

The final step was to replicate the poststratification adjustments. The replicate poststratification adjustments are

RPTPS_AD sub h a uppercase R of lowercase r equals TOTAL sub h divided by summation over C prime sub h a of open paren prew sub i j of lowercase r times REPF sub i j uppercase R closed paren

The replicate final weights are

w sub i j uppercase R of lowercase r equals RPTPS_AD sub h a uppercase R of lowercase r times prew sub i j of lowercase r times REPF sub i j uppercase R for i j elements of C sub h a

The tables show replicate variance estimates using wij and wij (r) for totals of the following groups, for fourth, eighth, and twelfth grades, respectively:

  • NAEP region,

  • school type (public, Catholic, religious non-Catholic, private nonreligious),

  • race/ethnicity, and

  • gender.

Note that these totals include all students whether assessed, absent, or excluded, and whatever their assessment (geography or U.S. history).


Last updated 26 August 2008 (FW)

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