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The Bootstrap and Multiple Comparisons Procedures as Remedy on Doubts about Correctness of ANOVA Results

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Author(s): Izabela CHMIEL | Maciej GORKIEWICZ

Journal: Applied Medical Informatics
ISSN 1224-5593

Volume: 30;
Issue: 1;
Start page: 9;
Date: 2012;
Original page

Keywords: Quality of life | Questionnaire | SF-36 | Statistical analysis

ABSTRACT
Aim: To determine and analyse an alternative methodology for the analysis of a set of Likert responses measured on a common attitudinal scale when the primary focus of interest is on the relative importance of items in the set - with primary application to health-related quality of life (HRQOL) measures. HRQOL questionnaires usually generate data that manifest evident departures from fundamental assumptions of Analysis of Variance (ANOVA) approach, not only because of their discrete, bounded and skewed distributions, but also due to significant correlation between mean scores and their variances. Material and Methods: Questionnaire survey with SF-36 has been conducted among 142 convalescents after acute pancreatitis. The estimated scores of HRQOL were compared with use of the multiple comparisons procedures under Bonferroni-like adjustment, and with the bootstrap procedures. Results: In the data set studied, with the SF-36 outcome, the use of the multiple comparisons and bootstrap procedures for analysing HRQOL data provides results quite similar to conventional ANOVA and Rasch methods, suggested at frames of Classical Test Theory and Item Response Theory. Conclusions: These results suggest that the multiple comparisons and bootstrap both are valid methods for analysing HRQOL outcome data, in particular at case of doubts with appropriateness of the standard methods. Moreover, from practical point of view, the processes of the multiple comparisons and bootstrap procedures seems to be much easy to interpret by non-statisticians aimed to practise evidence based health care.
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