A Comparison of Parametric and Non-Parametric Methods Applied to a Likert Scale

PHARMACY - Tập 5 Số 2 - Trang 26
Constantin Mircioiu1, Jeffrey Atkinson2
1Pharmacy Faculty, University of Medicine and Pharmacy “Carol Davila” Bucharest, Dionisie Lupu 37, Bucharest 020021, Romania
2Pharmacolor Consultants Nancy, 12 rue de Versigny, Villers 54600, France

Tóm tắt

A trenchant and passionate dispute over the use of parametric versus non-parametric methods for the analysis of Likert scale ordinal data has raged for the past eight decades. The answer is not a simple “yes” or “no” but is related to hypotheses, objectives, risks, and paradigms. In this paper, we took a pragmatic approach. We applied both types of methods to the analysis of actual Likert data on responses from different professional subgroups of European pharmacists regarding competencies for practice. Results obtained show that with “large” (>15) numbers of responses and similar (but clearly not normal) distributions from different subgroups, parametric and non-parametric analyses give in almost all cases the same significant or non-significant results for inter-subgroup comparisons. Parametric methods were more discriminant in the cases of non-similar conclusions. Considering that the largest differences in opinions occurred in the upper part of the 4-point Likert scale (ranks 3 “very important” and 4 “essential”), a “score analysis” based on this part of the data was undertaken. This transformation of the ordinal Likert data into binary scores produced a graphical representation that was visually easier to understand as differences were accentuated. In conclusion, in this case of Likert ordinal data with high response rates, restraining the analysis to non-parametric methods leads to a loss of information. The addition of parametric methods, graphical analysis, analysis of subsets, and transformation of data leads to more in-depth analyses.

Từ khóa


Tài liệu tham khảo

Likert, 1932, A technique for the measurement of attitudes, Arch. Psychol., 22, 5

Stevens, 1946, On the theory of scales of measurement, Science, 103, 677, 10.1126/science.103.2684.677

Feinstein, A.R. (1977). Clinical Biostatistics. Chapter 16: On Exorcising the Ghost of Gauss and the Curse of Kelvin, Mosby.

Kuzon, 1996, The seven deadly sins of statistical analysis, Ann. Plast. Surg., 37, 265, 10.1097/00000637-199609000-00006

Knapp, 1990, Treating ordinal scales as interval scales: An attempt to resolve the controversy, Nurs. Res., 39, 121, 10.1097/00006199-199003000-00019

Gardner, 1975, Scales and statistics, Rev. Educ. Res., 45, 43, 10.3102/00346543045001043

Boneau, 1960, The effects of violations of assumptions underlying the t-test, Psychol. Bull., 57, 49, 10.1037/h0041412

Jamieson, 2004, Likert scales; how to (ab)use them, Med. Educ., 38, 1212, 10.1111/j.1365-2929.2004.02012.x

Norman, 2010, Likert scales, levels of measurement and the “laws” of statistics, Adv. Health Sci. Educ., 15, 625, 10.1007/s10459-010-9222-y

Atkinson, 2015, The PHAR-QA Project: Competence Framework for Pharmacy Practice—First Steps. The Results of the European Network Delphi Round 1, Pharmacy, 3, 307, 10.3390/pharmacy3040307

Marz, 2013, Tuning research competencies for Bologna three cycles in medicine: Report of a MEDINE2 European consensus survey, Perspect. Med. Educ., 2, 181, 10.1007/S40037-013-0066-Z

(2017, January 10). GraphPad Prism 7 for Biostatistics, Curve Fitting and Scientific Graphing. Available online: https://www.graphpad.com/.

Landis, 1977, The measurement of observer agreement for categorical data, Biometrics, 33, 159, 10.2307/2529310

Box, 1953, Non-normality and tests on variances, Biometrika, 40, 318, 10.1093/biomet/40.3-4.318

Gaito, 1959, Non-parametric methods in psychological research, Psychol. Rep., 5, 115, 10.2466/pr0.1959.5.g.115

Glass, 1972, Consequences of Failure to Meet Assumptions Underlying the Fixed Effects Analyses of Variance and Covariance, Rev. Educ. Res., 42, 237, 10.3102/00346543042003237

Carifio, 2007, Ten Common Misunderstandings, Misconceptions, Persistent Myths and Urban Legends about Likert Scales and Likert Response Formats and their Antidotes, J. Soc. Sci., 3, 106

Curtis, 2015, Experimental design and analysis and their reporting: New guidance for publication in BJP, Br. J. Pharmacol., 172, 3461, 10.1111/bph.12856