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Limits on the Accuracy of Linking FI

Author(s):
Haberman, Shelby J.
Publication Year:
2010
Report Number:
RR-10-22
Source:
ETS Research Report
Document Type:
Report
Page Count:
29
Subject/Key Words:
Fisher Information (FI), Randomized Blocks, Mean Equating, Linear Equating, Two-Way Layout

Abstract

Sampling errors limit the accuracy with which forms can be linked. Limitations on accuracy are especially important in testing programs in which a very large number of forms are employed. Standard inequalities in mathematical statistics may be used to establish lower bounds on the achievable inking accuracy. To illustrate results, a variety of equating problems are considered.

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