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NAEP Technical DocumentationStudent-Level Replicate Weights

The replicate-specific adjusted student base weights were calculated by multiplying the replicate-specific adjusted school weights as described above by the corresponding within-school student weights. That is, the adjusted student base weight for the jth student in adjustment class k in replicate r was initially computed as:

W sub r k i j = W superscript s c h a d j sub r k i multiplied by W superscript within sub i j

where W superscript s c h a d j sub r k i = the nonresponse-adjusted school weight for school i in school adjustment class k and replicate r; and W superscript within sub i j = the within-school weight for the jth student in school i.

The adjustment factor for students in replicate r and adjustment class k was computed as:

F superscript s t sub r k prime = open bracket the summation over j an element of T sub k prime of W sub r k prime i j closed bracket divided by open bracket the summation over j an element of T sub k prime of W sub r k prime i j multiplied by delta sub r k prime i j

where Tk’ = the eligible sampled students in adjustment class k’, and

F superscript s t sub r k prime = open bracket the summation over j an element of T sub k prime of W sub r k prime i j closed bracket divided by open bracket the summation over j an element of T sub k prime of W sub r k prime i j multiplied by delta sub r k prime i j

= the replicate-r base weight of the jth student in class k’.

The student nonresponse adjusted replicate weights were computed as:

W superscript s t a d j sub r k prime i j = W sub r k prime i j multiplied by F superscript s t sub r k prime

Last updated 04 March 2008 (PE)

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