A Coefficient of Association Between Categorical Variables With Partial or Tentative Ordering of Categories  

Oleh:

Kreiner, Svend ; Siersma, Volkert

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Sociological Methods & Research (SMR) vol. 38 no. 02 (Nov. 2009), page 265-286.
Topik: Ordinal Categorical Variables; Goodman and Kruskal's Gamma; Monotone Association
Fulltext: SMR vol.38 no.2 p.265_win.pdf (384.32KB)

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

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Isi artikel

Goodman and Kruskal's gamma coefficient measuring monotone association and its partial variants are useful for the analysis of multiway contingency tanles containing ordinal variables. When the categories of a variable are only partly ordered and the variable is treated as a nominal variable, information in the ordering of the categories and statistical power is lost. The authors suggest a gamma measure that is the maximum of the ordinary gamma coefficient obtained by permuting the categories of nominal or partially ordered variables, while leaving the partial ordering intact. When the assumption of a monotone underlying association is justified, this measure has higher power than nominal tests for association. Furthermore, the resulting optimal monotone ordering gives insight into the nature of this association, which is not obtained by tests for nominal variables. The properties of the gamma coefficient are investigated in a simulation study and its use illustrated in two data sets.

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