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On the practice of dichotomization of quantitative variables.
Open accessAbstract
The authors examine the practice of dichotomization of quantitative measures, wherein relationships among variables are examined after 1 or more variables have been converted to dichotomous variables by splitting the sample at some point on the scale(s) of measurement. A common form of dichotomization is the median split, where the independent variable is split at the median to form high and low groups, which are then compared with respect to their means on the dependent variable. The consequences of dichotomization for measurement and statistical analyses are illustrated and discussed. The use of dichotomization in practice is described, and justifications that are offered for such usage are examined. The authors present the case that dichotomization is rarely defensible and often will yield misleading results.
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“However, grouping loses information and may reduce statistical power [ 87 ] especially when dichotomization is used [ 82 , 85 , 88 ].”
From Strengthening the Reporting of Observational Studies in Epidemiology (STROBE): Explanation and Elaboration (2007) · cites this paper as [85]
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“In another survey, of the psychological literature, dichotomization was justified in only 22 of 110 articles (20%) [ 85 ].”
From Strengthening the Reporting of Observational Studies in Epidemiology (STROBE): Explanation and Elaboration (2007) · cites this paper as [85]
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“However, such dichotomisation will result in an unnecessary loss of statistical power and precision if continuous alternatives are available (MacCallum et al., 2002; Royston et al., 2006).”
From Rating norms should be calculated from cumulative link mixed effects models (2022) · cites this paper as MacCallum et al., 2002
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“Artificially dichotomizing continuous measures is rarely conceptually or statistically defensible, and frequently yields misleading results (MacCallum et al., 2002).”
From Do growth mindset interventions impact students’ academic achievement? A systematic review and meta-analysis with recommendations for best practices. (2023) · cites this paper as MacCallum et al., 2002
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Nelson, L. D., Furger, R., Ranson, J., Tarima, S., Hammeke, T., Randolph, C., Barr, W., Guskiewicz, K., Olsen, C., Lerner, E., et al. (2017) · Journal of Neurotrauma · doi:10.1089/neu.2017.4988 · Cited by 31
“Although dichotomizing the outcome variable was expected to reduce statistical power, 61,62 this approach was considered advantageous, because logistic regression introduces less restrictive model assumptions than Cox regression.”
Barr-Pulliam, D. D. (2018) · Management Accounting Research · doi:10.1016/j.mar.2018.10.001 · Cited by 36
Chopin, J., & Caneppele, S. (2019) · International Journal of Child Abuse & Neglect · doi:10.1016/j.chiabu.2019.03.001 · Cited by 36
LoTemplio, S. B., Silcox, J. W., Federmeier, K. D., & Payne, B. R. (2020) · Psychophysiology · doi:10.1111/psyp.13758 · Cited by 36
Internal and external motivation to respond without prejudice: a person-centered approach
Bamberg, K. L., & Verkuyten, M. (2021) · The Journal of Social Psychology · doi:10.1080/00224545.2021.1917498 · Cited by 36
“However, these methods might lead to a considerable loss of information and, in some cases, even to spurious effects (MacCallum et al., 2002).”
BackgroundKaiser, F. G., Kibbe, A., & Hentschke, L. (2021) · Personality and Individual Differences · doi:10.1016/j.paid.2021.111158 · Cited by 37
The potential of immersive virtual reality for representations in design education
Horvat, N., Martinec, T., Lukačević, F., Perišić, M. M., & Škec, S. (2022) · Virtual Reality · doi:10.1007/s10055-022-00630-w · Cited by 39
“The mean split has been used since it has a lower effect on the measurement reliability (MacCallum et al. 2002).”
MethodStupnisky, R. H., Stewart, T. L., Daniels, L. M., et al. (2010) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2010.06.004 · Cited by 36
Reynolds, J., McClelland, A., & Furnham, A. F. (2013) · Anxiety Stress & Coping · doi:10.1080/10615806.2013.864388 · Cited by 36
A match made in the laboratory: Persuasion and matches to primed traits and stereotypes
Wheeler, S. C., DeMarree, K. G., & Petty, R. E. (2008) · Journal of Experimental Social Psychology · doi:10.1016/j.jesp.2008.03.007 · Cited by 36
Factors associated with family violence by persons with psychiatric disorders
Labrum, T., & Solomon, P. (2016) · Psychiatry Research · doi:10.1016/j.psychres.2016.07.026 · Cited by 36
“As is common (MacCallum et al., 2002), continuous and ordinal independent variables were dichotomized at the median.”
BackgroundKou, S., McClelland, A., & Furnham, A. F. (2017) · Psychology of Music · doi:10.1177/0305735617704300 · Cited by 36
Kiviniemi, M. T., & Rothman, A. J. (2006) · Psychology and Health · doi:10.1080/14768320500098715 · Cited by 36
“However, several recent authors have made strong arguments against dichotomizing continuous variables (eg, MacCallum, Zhang, Preacher & Rucker, 2002 ).”
BackgroundPorras-Garcia, B., Ferrer-Garcia, M., Serrano-Troncoso, E., Carulla-Roig, M., Soto-Usera, P., Miquel-Nabau, H., Shojaeian, N., de la Montaña Santos-Carrasco, I., Borszewski, B., Díaz-Marsá, M., et al. (2020) · Journal of Clinical Medicine · doi:10.3390/jcm9103210 · Cited by 35
“These could affect the statistical power and accuracy of the estimated relations and reduce the observed relations among the variables [65].”
BackgroundWardenaar, K. J., van Veen, T., Giltay, E. J., Zitman, F. G., & Penninx, B. W. J. H. (2013) · Journal of Affective Disorders · doi:10.1016/j.jad.2013.12.004 · Cited by 35
“Compared to DSM-categories, dimensions also have advantages: they are more homogeneous, circumvent comorbidity (Widiger and Clark, 2000), better represent continuous variations observed in real life (Goldberg, 2000) and provide more statistical power/ sensitivity to change (MacCallum et al., 2002).”
BackgroundType D Personality and Health-Related Quality of Life in Vascular Surgery Patients
Bouwens, E., van Lier, F., Rouwet, E. V., Verhagen, H. J. M., Stolker, R. J., & Hoeks, S. E. (2019) · International Journal of Behavioral Medicine · doi:10.1007/s12529-018-09762-3 · Cited by 35
“Furthermore, regarding the ongoing discussion about this typical dichotomous approach and the well-established statistical drawbacks of forced dichotomization [28], both the dichotomous form of type D personality and the continuous scores of NA, SI, and their interaction term NA by SI were analyzed.”
BackgroundDo psychosocial treatment outcomes vary by race or ethnicity? A review of meta-analyses
Cougle, J. R., & Grubaugh, A. L. (2022) · Clinical Psychology Review · doi:10.1016/j.cpr.2022.102192 · Cited by 36
Sluggish cognitive tempo and speed of performance
Wood, W. L. M., Potts, H. E., Lewandowski, L. J., & Lovett, B. J. (2017) · Journal of Attention Disorders · doi:10.1177/1087054716666322 · Cited by 33
Metadata
- Authors
- MacCallum, R. C., Zhang, S., Preacher, K. J., & Rucker, D. D.
- Affiliations
- The Ohio State University (US)
- Venue
- Psychological Methods
- Published
- 2002
- Volume
- 7
- Issue
- 1
- Pages
- 19-40
- ISSN
- 1082-989X (ISSN-L)
- 1939-1463
- OpenAlex
- W2108096958
- Semantic Scholar
- 67646d3def337c40bbfa2476f0f1ff785ae18242
- Cited by
- 3,538
- References
- 42
- Citations by year
- 2026: 282 · 2025: 170 · 2024: 149 · 2023: 134 · 2022: 183 · 2021: 211 · 2020: 204 · 2019: 179 · 2018: 180 · 2017: 223 · 2016: 208 · 2015: 208 · 2014: 184 · 2013: 187 · 2012: 138
- FWCI
- 55.97
- Type
- journal article
- Language
- en
- Open access
- Licence
- other-oa
- Locations
- Psychological Methods (publishedVersion)
- PubMed (publishedVersion)
- KU ScholarWorks (The University of Kansas) (submittedVersion, other-oa)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- dichotomization, quantitative variables, statistical analysis, change of variables, measurement error
- MeSH terms
- Humans, Models, Psychological, Psychology
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