scholarly journals Non-parametric heteroscedastic transformation regression models for skewed data with an application to health care costs

Author(s):  
Xiao-Hua Zhou ◽  
Huazhen Lin ◽  
Eric Johnson
1998 ◽  
Vol 3 (4) ◽  
pp. 233-245 ◽  
Author(s):  
Andrew Briggs ◽  
Alastair Gray

Objective: Where patient level data are available on health care costs, it is natural to use statistical analysis to describe the differences in cost between alternative treatments. Health care costs are, however, commonly considered to be skewed, which could present problems for standard statistical tests. This review examines how authors report the distributional form of health care cost data and how they have analysed their results. Method: A review of cost-effectiveness studies that collected patient-level data on health care costs. To supplement the review, five datasets on health care costs are examined. Consideration is given to the use of parametric methods on the transformed scale and to non-parametric methods of analysing skewed cost data. Results: Since economic analysis requires estimation in monetary units, the usefulness of transformation-based methods is limited by the inability to retransform cost differences to the original scale. Non-parametric rank sum methods were also found to be of limited use for economic analysis, partly due to the focus on hypothesis testing rather than estimation. Overall, the non-parametric approach of bootstrapping was found to offer a useful test of the appropriateness of parametric assumptions and an alternative method of estimation where those assumptions were found not to hold. Conclusions: Guidelines for the analysis of skewed health care cost data are offered.


2003 ◽  
Vol 183 (5) ◽  
pp. 398-404 ◽  
Author(s):  
Graham Dunn ◽  
Massimo Mirandola ◽  
Francesco Amaddeo ◽  
Michele Tansella

BackgroundAnalysis of the patterns of variation in health care costs and the determinants of these costs (including treatment differences) is an increasingly important aspect of research into the performance of mental health services.AimsTo encourage both investigators of the variation in health care costs and the consumers of their investigations to think more critically about the precise aims of these investigations and the choice of statistical methods appropriate to achieve them.MethodWe briefly describe examples of regression models that might be of use in the prediction of mental health costs and how one might choose which one to use for a particular research project.ConclusionsIf the investigators are primarily interested in explanatory mechanisms then they should seriously consider generalised linear models (but with careful attention being paid to the appropriate error distribution). Further insight is likely to be gained through the use of two-part models. For prediction we recommend regression on raw costs using ordinary least-square methods. Whatever method is used, investigators should consider how robust their methods might be to incorrect distributional assumptions (particularly in small samples) and they should not automatically assume that methods such as bootstrapping will allow them to ignore these problems.


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