The Continuized Log-Linear Method: An Alternative to the Kernel Method of Continuization in Test Equating  

Oleh:

Tianyou, Wang

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Applied Psychological Measurement vol. 32 no. 7 (Oct. 2008), page 527-542.
Topik: test equating; kernel equating method; continuized loglinear method; log-linear smoothing
Fulltext: 527.pdf (240.7KB)

Isi artikel

Von Davier, Holland, and Thayer (2004) laid out a five-step framework of test equating that can be applied to various data collection designs and equatingmethods. In the continuization step, they presented an adjusted Gaussian kernel method that preserves the first twomoments. This article proposes an alternative continuization method that directly uses the log-linear function from the smoothing step. This alternativemethod has the advantages of being simple and direct and producing smoother continuous distributions.When the number of score points is large, it can better preserve the moments. Two real test examples are provided to demonstrate these properties and to compare equating functions based on differentmethods. The standard error of equating for thismethod is derived.

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