Skip to main content

Advertisement

Log in

Application of Robust Statistical Methods for Sensitivity Analysis of Health-Related Quality of Life Outcomes

  • Published:
Quality of Life Research Aims and scope Submit manuscript

Abstract

Background: Researchers often use conventional parametric procedures to test hypotheses of health-related quality of life (HRQL) mean equality across patient groups. However, these techniques are sensitive to the presence of skewed distributions and unequal group variances, which may characterize many HRQL measures. Purpose: To conduct a sensitivity analysis of conventional and robust approaches to test hypotheses of mean equality on HRQL measures for hematopoietic stem cell transplantation survivors and a healthy comparison group. Methods: The methods applied were the conventional parametric procedure of least-squares analysis of variance applied to the raw scores, the conventional parametric procedure applied to transformed data, and a robust approximate degrees of freedom parametric procedure utilizing trimmed means and Winsorized variances. Results: The choice of analysis method affected the conclusions about the null hypothesis of mean equality. More commonly observed, however, was a substantial difference in the value of the F-statistic and standard errors which was particularly evident in the measures with greater degrees of skewness and heterogeneity of variances. Conclusions: Robust statistical tests should be incorporated into sensitivity analyses when analyzing HRQL data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

ANOVA:

analysis of variance

ADF:

approximate degrees of freedom

CES-D:

Center for Epidemiologic Studies Depression Scale

Duke-SS:

Duke-UNC Social Support

ES:

effect size

HC:

healthy comparison

FACIT-Fatigue:

Functional Assessment of Chronic Illness Therapy-Fatigue

FACIT-Sp:

Functional Assessment of Chronic Illness Therapy-Spiritual Well-Being

FACT-PWB:

Functional Assessment of Cancer Therapy-Physical Well-Being

HRQL:

health-related quality of life

HSCT:

hematopoietic stem cell transplantation

LS:

least squares

MOS-Family:

Medical Outcomes Study-Family Functioning

MOS-Sleep:

Medical Outcomes Study-Sleep Problems

PHQ:

Perceived Health Questionnaire

PTGI:

Posttraumatic Growth Inventory

SD:

standard deviation

SE:

standard error

SF-36:

Medical Outcomes Study 36-item Short Form

SF-36-GH:

SF-36 General Health Perceptions

SF-36-MH:

SF-36 Mental Health Index

SF-36-PF:

SF-36 Physical Functioning

SF-36-SF:

SF-36 Social Functioning

SIP-AB:

Sickness Impact Profile-Alertness Behavior

STAI:

State-Trait Anxiety Inventory-Trait Anxiety

UCLA-L:

UCLA Loneliness

References

  1. SA Julious S George D Machin RJ Stephens (1997) ArticleTitleSample sizes for randomized trials measuring quality of life in cancer patients Qual Life Res 6 109–117 Occurrence Handle10.1023/A:1026481815304 Occurrence Handle1:STN:280:ByiA3cvotVI%3D Occurrence Handle9161110

    Article  CAS  PubMed  Google Scholar 

  2. MS Rose ML Koshman S Spreng R Sheldon (1999) ArticleTitleStatistical issues encountered in the comparison of health-related quality of life in diseased patients to published general population norms: Problems and solutions J Clin Epidemiol 52 405–412 Occurrence Handle10.1016/S0895-4356(99)00014-1 Occurrence Handle1:STN:280:DyaK1M3oslSrsg%3D%3D Occurrence Handle10360335

    Article  CAS  PubMed  Google Scholar 

  3. SD Ramsey K Berry C Moinpour A Giedzinska MR Andersen (2002) ArticleTitleQuality of life in long term survivors of colorectal cancer Am J Gastroenterol 97 1228–1234 Occurrence Handle12017152

    PubMed  Google Scholar 

  4. LM Lix JC Keselman HJ Keselman (1996) ArticleTitleConsequences of assumption violations revisited: A quantitative review of alternatives to the one-way analysis of variance F test Rev Educ Res 66 579–619

    Google Scholar 

  5. JL Rasmussen (1986) ArticleTitleAn evaluation of parametric and non-parametric tests on modified and non-modified data Brit J Math Stat Psychol 39 213–220

    Google Scholar 

  6. RC Blair SS Sawilowsky JJ Higgins (1987) ArticleTitleLimitations of the rank transform statistic in tests for interactions Commun Stat Simul Comput 16 1133–1145

    Google Scholar 

  7. SS Sawilowsky RC Blair JJ Higgins (1989) ArticleTitleAn investigation of the type I error and power properties of the rank transform procedure in factorial ANOVA J Educ Stat 14 255–267

    Google Scholar 

  8. RR Wilcox (1995) ArticleTitleANOVA: The practical importance of heteroscedastic methods, using trimmed means versus means, and designing simulation studies Brit J Math Stat Psychol 48 99–114

    Google Scholar 

  9. HJ Keselman RR Wilcox LM Lix (2003) ArticleTitleA generally robust approach to hypothesis testing in independent and correlated groups designs Psychophysiology 40 586–596 Occurrence Handle10.1111/1469-8986.00060 Occurrence Handle1:STN:280:DC%2BD3svpt1yitA%3D%3D Occurrence Handle14570166

    Article  CAS  PubMed  Google Scholar 

  10. GS Mudholkar DK Srivastava (2000) ArticleTitleA class of robust stepwise alternatives to Hotelling’s T2 tests J Appl Stat 27 299–619

    Google Scholar 

  11. JF Reed SuffixIII (2003) ArticleTitleSolutions to the Behrens–Fisher problem Comput Meth Progr Biomed 70 259–263 Occurrence Handle10.1016/S0169-2607(02)00021-4

    Article  Google Scholar 

  12. KK Yuen (1974) ArticleTitleThe two-sample trimmed t for unequal population variances Biometrika 61 165–170

    Google Scholar 

  13. LM Lix HJ Keselman (1998) ArticleTitleTo trim or not to trim: Tests of location equality under heteroscedasticity and nonnormality Educ Psychol Meas 58 409–429

    Google Scholar 

  14. MA Andrykowski M Bishop EA Hahn et al. (2005) ArticleTitleLong-term health-related quality of life, growth, and spiritual well-being after hematopoietic stem-cell transplantation J Clin Oncol 23 599–608 Occurrence Handle15659507

    PubMed  Google Scholar 

  15. InstitutionalAuthorNameSAS Institute Inc (2002) SAS/STAT, Version 8.2 SAS Institute, Inc. Cary, NC

    Google Scholar 

  16. InstitutionalAuthorNameSAS Institute Inc (2002) SAS/IML User’s Guide, Version 8.2 SAS Institute, Inc. Cary, NC

    Google Scholar 

  17. PH Westfall SS Young (1993) Resampling-Based Multiple Testing Wiley New York

    Google Scholar 

  18. RR Wilcox HJ Keselman (2001) ArticleTitleUsing trimmed means to compare k measures corresponding to k independent groups Multivar Behav Res 36 421–444

    Google Scholar 

  19. GEP Box (1954) ArticleTitleTheorems on quadratic forms applied in the study of analysis of variance problems, I. Effect of inequality of variance in the one way classification Ann Math Stat 25 290–302

    Google Scholar 

  20. F Pesarin (2001) Multivariate Permutation Tests Wiley New York

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jennifer L. Beaumont.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Beaumont, J.L., Lix, L.M., Yost, K.J. et al. Application of Robust Statistical Methods for Sensitivity Analysis of Health-Related Quality of Life Outcomes. Qual Life Res 15, 349–356 (2006). https://doi.org/10.1007/s11136-005-2293-1

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11136-005-2293-1

Keywords

Navigation