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ERIC Number: EJ1136527
Record Type: Journal
Publication Date: 2015-Feb
Pages: 28
Abstractor: As Provided
ISSN: ISSN-0049-1241
On the Upward Bias of the Dissimilarity Index and Its Corrections
Mazza, Angelo; Punzo, Antonio
Sociological Methods & Research, v44 n1 p80-107 Feb 2015
The dissimilarity index of Duncan and Duncan is widely used in a broad range of contexts to assess the overall extent of segregation in the allocation of two groups in two or more units. Its sensitivity to random allocation implies an upward bias with respect to the unknown amount of systematic segregation. In this article, following a multinomial framework based on the assumption that individuals allocate themselves independently and that unit sizes are not fixed, we provide (1) a mathematical proof of the nonnegativity of the bias, (2) an analytic way of obtaining the same results of a recent bootstrap-based bias correction but without using resampling, and (3) a new bias correction that outperforms, in terms of both bias and mean square error, those based on grouped jackknife, bootstrap, and double bootstrap.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A