Explained variance in logistic regression:A monte carlo study of proposed measures  

Oleh:

Maris, Alfred de

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Sociological Methods & Research (SMR) vol. 31 no. 01 (Aug. 2002), page 27-74.
Topik: measurement; regression
Fulltext: DeMARIS-27-74 - Bernard.pdf (263.32KB)

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Perpustakaan PKPM Nomor Panggil: S28 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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R2 is widely relied on in Linear regression to index a model's discriminatory power. Many counterparts have been proposed for use in logistic regression, bur no single measure is consistently used. Two potential criterion values are relevant: the explained variance in the latent scale underlying the binary indicator of event occurrence and the explained risk of the event itself. In this study, Monte Carlo methods were used to examine the performance, with respect to fixed theoretical levels of explained variance and explained risk, of eight R2 analogues. The McKelvey-Zavoina measure appears to be best at estimating explained variance and either the sample-estimated explained risk or the ordinary least squares R 2 to be best at indexing explained risk. Other measures appear to be poor choices, primarily because asymptotic trends suggest they may be inconsistent estimators of the relevant criterion.

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