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Valuation Structures of Health States Revealed with Singular Value Decomposition

Author

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  • Paul F. M. Krabbe

    (Department of Medical Technology Assessment (138), Radboud University Nijmegen Medical Centre, PO Box 9101, 6500 HB Nijmegen, the Netherlands; p.krabbe@mta.umcn.nl)

Abstract

Objective. A basic mathematical routine called singular value decomposition (SVD) is introduced and applied to explore the applicability of this methodology in the context of health state valuations. Methods. SVD dissects a data matrix into 3 separatematrices that contain all the information present in the original data. Eachmatrix comprises a specific type of information. One matrix comprises arrays of weights that show the different valuation structures (i.e., similar ways among respondents to quantify specific sets of health states). A 2nd matrix with weights expresses how strongly each respondent's ratings are related to each of the valuation structures, and a 3rd matrix contains the percentages of variance associated with the valuation structures. SVD was applied to data from a group of 340 respondents who each gave a value to 16 health states using the time tradeoff (TTO) method and the visual analog scale (VAS). Results. SVD of the VAS data showed 1 distinct response pattern that accounted for 91.6% of the total variance. The contribution of the 1st component in the TTO data wasmuch lower (57.4%), and a 2nd component (15.6%) could be identified that reflected a distinct preference structure opposed to the 1st and principal component. Conclusions. Application of SVD to the TTO data revealed that respondents fell into 2 different groups in their TTO evaluations, but respondents weremore similar to each other in their VAS responses. The author discusses other applications of SVD to clinical research.

Suggested Citation

  • Paul F. M. Krabbe, 2006. "Valuation Structures of Health States Revealed with Singular Value Decomposition," Medical Decision Making, , vol. 26(1), pages 30-37, January.
    • Handle: RePEc:sae:medema:v:26:y:2006:i:1:p:30-37
    DOI: 10.1177/0272989X05284106
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    References listed on IDEAS

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    1. Torrance, George W., 1986. "Measurement of health state utilities for economic appraisal : A review," Journal of Health Economics, Elsevier, vol. 5(1), pages 1-30, March.
    2. Krabbe, Paul F. M. & Essink-Bot, Marie-Louise & Bonsel, Gouke J., 1997. "The comparability and reliability of five health-state valuation methods," Social Science & Medicine, Elsevier, vol. 45(11), pages 1641-1652, December.
    3. Nancy J. Devlin & Paul Hansen & Paul Kind & Alan Williams, 2003. "Logical inconsistencies in survey respondents' health state valuations ‐ a methodological challenge for estimating social tariffs," Health Economics, John Wiley & Sons, Ltd., vol. 12(7), pages 529-544, July.
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    1. Paul F M Krabbe, 2013. "A Generalized Measurement Model to Quantify Health: The Multi-Attribute Preference Response Model," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-12, November.

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