Extended correlation: not necessarily quadratic or quantitative.  

Oleh:

Levine, Joel H.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Sociological Methods & Research (SMR) vol. 34 no. 01 (Aug. 2005), page 031.
Topik: Quantitative; Quadratic; Extended Correlation; Association; Least Squares
Fulltext: Levine, Joel H..pdf (1.76MB)

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

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Isi artikel

What is the correlation between two variables? Traditional answers offer summary assessments such as Pearson's r and regression coefficients. But new computing techniques make it possible to construct conceptually simple hypotheses that describe the full joint distribution of two variables, making it possible to "mine" the correlation for information that was previously unused. This article begins with evidence of systematic anomalies in the empirical joint distribution of height-weight data and follows with a hypothesis that explains these anomalies in terms of a theoretical joint distribution relative to a linear equation. The hypothesis has serious consequences because even in traditional examples, while it offers an improvedfit to the data, its estimates of the linear center do not correspond to traditional least squares estimates of the linear relation for the same two variables.

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