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Testing for Association Using Multiple Response Survey Data: Approximate Procedures Based on the Rao-Scott Approach

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Title: Testing for Association Using Multiple Response Survey Data: Approximate Procedures Based on the Rao-Scott Approach
Language: English
Authors: Thomas, D. Roland, Decady, Yves J.
Source: International Journal of Testing. Mar 2004 4(1):43-59.
Availability: Lawrence Erlbaum Associates, Inc., Journal Subscription Department, 10 Industrial Avenue, Mahwah, NJ 07430-2262. Tel: 800-926-6579 (Toll Free); e-mail: journals@erlbaum.com.
Peer Reviewed: Y
Page Count: 17
Publication Date: 2004
Document Type: Journal Articles
Reports - Research
Descriptors: Evaluation Methods, Statistical Analysis, Multivariate Analysis, Surveys, Correlation
ISSN: 1530-5058
Abstract: This article discusses approximate tests of marginal association in 2-way tables in which one or both response variables admit multiple responses. Although multiple-response questions appear in all fields of research, including sociology, education, and marketing, the development of association tests that can be used with multiple-response data is very recent. A simple test procedure proposed by Agresti and Liu (1999) is extended to tests of association between 2 multiple-response variables, and it is shown that the procedure is a member of the first-order Rao-Scott family of corrected chi-squared statistics. A second-order Rao-Scott version of this procedure is developed. The Type I error control of both first- and second-order procedures is examined through calculation and simulation.
Abstractor: Author
Entry Date: 2005
Access URL: https://www.leaonline.com
Accession Number: EJ683904
Database: ERIC
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  Data: This article discusses approximate tests of marginal association in 2-way tables in which one or both response variables admit multiple responses. Although multiple-response questions appear in all fields of research, including sociology, education, and marketing, the development of association tests that can be used with multiple-response data is very recent. A simple test procedure proposed by Agresti and Liu (1999) is extended to tests of association between 2 multiple-response variables, and it is shown that the procedure is a member of the first-order Rao-Scott family of corrected chi-squared statistics. A second-order Rao-Scott version of this procedure is developed. The Type I error control of both first- and second-order procedures is examined through calculation and simulation.
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      – SubjectFull: Multivariate Analysis
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