Increasing physicians' awareness of the impact of statistics on research outcomes: Comparative power of the t-test and Wilcoxon Rank-Sum test in small samples applied research

Journal of Clinical Epidemiology

Volumn 52, Issue 3, 1999, Pages 229-235

  Bridge, Patrick D ^a   Sawilowsky, Shlomo S ^b  

^a WAYNE STATE UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b WAYNE STATE UNIVERSITY   (United States)

Author keywords

Nonparametric statistics; Parametric statistics; Power; Research methods; t test; Wilcoxon Rank Sum test

Indexed keywords

ANALYTIC METHOD; ARTICLE; AWARENESS; COMPARATIVE STUDY; MEDICAL RESEARCH; OUTCOMES RESEARCH; PHYSICIAN; PRIORITY JOURNAL; SAMPLING; STATISTICS; SYSTEM ANALYSIS;

EPIDEMIOLOGIC STUDIES; HEALTH SERVICES RESEARCH; HUMANS; PHYSICIANS; SAMPLE SIZE; STATISTICS, NONPARAMETRIC;

EID: 0032976760     PISSN: 08954356     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-4356(98)00168-1     Document Type: Article

References (59)

1. Altman D.G., Goodman S.N. Transfer of technology from statistical journals to the biomedical literature. JAMA. 272(2):1994;129-132.
2. Altman D.G. Statistics in medical journals. Stat Med. 1:1982;59-71.
3. Altman D.G. The scandal of poor medical research. BMJ. 308:1994;283-284.
4. Altman D.G. Statistics in medical journals. Developments in the 1980's Stat Med. 10:1991;1897-1913.
5. Avram M.J., Shanks C.A. Statistical methods in anesthesia articles. An evaluation of two American journals during two six-month periods Anesth Analg. 64:1985;607-611.
6. Glantz S.A. Biostatistics. How to detect, correct and prevent errors in the medical literature Circulation. 61(1):1980;1-7.
7. Lent V., Langenbach A. A retrospective quality analysis of 102 randomized trials in four leading urological journals form 1984-1989. Urol Res. 24(2):1996;119-122.
8. Mosteller J.P., Gilbert J.P. Reporting standards and research strategies for controlled trials. Control Clin Trials. 1:1980;37-58.
9. Mulrow C.D. The medical review article. State of the science Ann Intern Med. 106:1987;485-488.
10. Pocock P.J., Huges M.D., Lee R.J. Statistical problems in the reporting of clinical trials. A survey of three medical journals. N Engl J Med. 317(7):1987;426-487.
11. Silagy C.A., Jewell D., Mant D. An analysis of randomized controlled trials published in the US family medicine literature, 1987-1991. J Fam Pract. 39(3):1994;236-242.
12. Williams H.C., Seed P. Inadequate size of "negative" clinical trials in dermatology. Br J Dermatol. 128:1993;317-326.
13. Emerson J.D., Colditz G.A. Use of statistical analysis in the New England Journal of Medicine. N Engl J Med. 309(12):1983;709-713.
14. Fromm B.S., Snyder V.L. Research design and statistical procedures used in the Journal of Family Practice. J Fam Pract. 23(6):1986;564-566.
15. Longnecker D.E. Support versus illumination. Trends in medical statistics J Anesthesiol. 57(2):1982;73-74.
16. Sawilowsky S.S. Nonparametric tests of interaction in experimental design. Rev Educ Res. 60(1):1990;91-126.
17. Micceri T. The unicorn, the normal curve, and other improbable creatures. Psychol Bull. 105(1):1989;156-166.
18. Harwell M.R. A general approach to hypothesis testing for nonparametric tests. J Exp Educ. 58(2):1990;143-156.
19. Hunter M.A., May R.B. Some myths concerning parametric and nonparmetric tests. Can Psychol. 34(4):1993;384-389.
20. Pearson K. Contributions to the mathematical theory of evolution. II. Skew variation in homogeneous material. Philo Transac R Soc 1895; Series A: 343-414.
21. Geary R.C. Testing for normality. Biometrika. 34:1947;209-242.
22. Nunnally J. Psychometric Theory. 2:1978;McGraw-Hill, New York.
23. Pearson E.S., Please N.W. Relation between the shape of population distribution and the robustness of four simple test statistics. Biometrika. 62(2):1975;223-241.
24. Tan W.Y. Sampling distributions and robustness of t, f, and variance-ratio in two samples and ANOVA models with respect to departures from normality. Commun Stat. A11:1982;2485-2511.
25. Dobi R.A., Wilson M.J. A comparison of t-test, F-test, and coherence methods of detecting steady-state auditory-evoked potentials, distortion-product otoacoustic emission, or other sinusoids. J Acoust Soc Am. 100(4/1):1996;2236-2246.
26. Bohning D., Hempfling A., Schelp F.P., Schlattmenn P. The area between curves (ABC) measure in nutritional anthropometry. Stat Med. 11(10):1992;1289-1304.
27. Gilbert G.H., Longmate J., Branch L.G. Factors influencing the effectiveness of mailed health surveys. Public Health Rep. 107(5):1992;576-584.
28. Elashoff J.D., Cantor R.M., Shain S. Power and validity of methods to identify variability genes. Genet Epidemiol. 8(6):1991;381-388.
29. Lucke J.F. Students t test and the glasgow coma scale. Ann Emerg Med. 28(4):1996;408-413.
30. Maxfield M., Schweitzer J., Gouvier W.D. Measures of central tendency, variability, and relative standing in nonnormal distributions. Alternatives to the mean and standard score Arch Phys Med Rehabil. 69(6):1988;406-409.
31. Zellner D., Frankewitsch T., Simon S., Keller F. Statistical analysis of hetrogenious pharmacokinetic data from the literature. Eur J Clin Chem Clin Biochem. 34(7):1996;585-589.
32. Niklasson A., Ericson A., Fryer J.G. An update of the Swedish reference standards for weight, length and head circumference at birth for given gestational age (1977-1981). Acta Paediatrica Scandinavica. 80(8-9):1991;756-762.
33. Valenta H.L., Fischer S.K. A monte carlo simulation of range for an invasive impedance respiration monitor. Biomed Sci Instrum. 26:1990;181-184.
34. Colliver J.A., Manchikanti L., Markwell S.J. Evaluation and comparison of the distributions of gastric pH and hydrogen ion concentration. Anesthesiol. 67(3):1987;391-394.
35. Sullivan L.M., D'Agostino R.B. Robustness of the t test applied to data distorted from normality by floor effects. J Dent Res. 71(12):1992;1938-1943.
36. Blair R.C. A reaction to "consequences of failure to meet assumptions underlying the fixed effects analysis of variance and covariance." Rev Educ Res. 51(4):1981;499-507.
37. Scheffe H. The Analysis of Variance. 1958;Wiley, New York.
38. Sawilowsky S.S., Blair R.C. A more realistic look at the robustness and type II error properties of the t test to departures from population normality. Psychol Bull. 111(2):1992;352-360.
39. Mansfield E. Basic Statistics with Applications. 1986;W. W. Norton, New York.
40. Sawilowsky S.S. Comments on using alternatives to normal theory statistics in social and behavioural science. Can Psycho. 34(4):1993;432-439.
41. Friedman J.A., Chalmers T.C., Smith H., Kuebler R.R. The importance of beta, the type II error and sample size in the design and interpretation of the randomized control trial. Survey of 71 "negative" trials N Engl J Med. 299:1978;690-694.
42. Mengel M.B., Davis A.B. The statistical power of family practice research. Fam Pract Res J. 13(2):1993;105-111.
43. Edlund M.J., Overall J.E., Rhoades H.M. Beta, or type II error in psychiatric controlled clinical trials. J Psychiat Res. 19(4):1985;563-567.
44. Kraemer H.C., Thiemann S. How Many Subjects? Statistical Power Analysis in Research:1987;Sage Publications, Newbury Park, CA.
45. Cohen J. Statistical Power Analysis for the Behavioral Sciences. 2:1988;Erlbaum, Hillsdale, NJ.
46. Cohen J.A. Power primer. Psychol Bull. 112(1):1992;155-159.
47. Dixon W.J. Power under normality of several nonparametric tests. Ann Mathemat Stat. 25:1954;610-614.
48. Chernoff H., Savage I.R. Asymptotic normality and efficiency of certain nonparametric test statistics. Ann Mathemat Stat. 29:1958;972-999.
49. Neave H.R., Granger C.W.J. A Monte Carlo study comparing various two-sample tests for differences in mean. Technometrics. 10:1968;509-522.
50. Lehmann E.L. Nonparametrics. 1975;Holden-Day, San Francisco, CA.
51. Randles R.H., Wolfe D.A. Introduction to the Theory of Nonparametric Tests. 1979;John Wiley, New York.
52. Blair R.C., Higgins J.J. A comparison of the power of the Wilcoxon's rank-sum statistic to that of Student's t statistic under various non-normal distributions. J Educ Stat. 5(4):1980;309-335.
53. Blair R.C., Higgins J.J. A note on the asymptotic relative efficiency of the Wilcoxon rank-sum test relative to the independent means t test under mixtures of two normal distributions. Br J Math Stat Psychol. 31:1981;124-128.
54. Zimmerman D.W., Zumbo B.D. Effects of outliers on the relative power of parametric and nonparametric statistical tests. Percep Motor Skills. 71:1990;339-349.
55. Conover W.J., Iman R.L. Rank transformations as a bridge between parametric and nonparametric statistics. Am Stat. 35:1981;124-129.
56. International Mathematical and Statistical Libraries. IMSL Library Reference Manual. 10th ed. Houston, TX: 1987.
57. Hill J.C., Schoener E.P. The age-dependent decline of ADHD. ADHD Report. 6(1):1998;4-5.
58. Barkley R.A. Age-dependent decline in ADHD. A final rejoinder ADHD Report. 6(1):1998;7-8.
59. Sawilowsky S., Musial J.L. Modeling ADHD as exponential decay. ADHD Report. 6(1):1998;10-11.