Measuring Numeracy without a Math Test: Development of the Subjective Numeracy Scale
Abstract
Background. Basic numeracy skills are necessary before patients can understand the risks of medical treatments. Previous research has used objective measures, similar to mathematics tests, to evaluate numeracy. Objectives. To design a subjective measure (i.e., self-assessment) of quantitative ability that distinguishes low- and high-numerate individuals yet is less aversive, quicker to administer, and more useable for telephone and Internet surveys than existing numeracy measures. Research Design. Paper-and-pencil questionnaires. Subjects. The general public (N = 703) surveyed at 2 hospitals. Measures. Forty-nine subjective numeracy questions were compared to measures of objective numeracy. Results. An 8-item measure, the Subjective Numeracy Scale (SNS), was developed through several rounds of testing. Four items measure people's beliefs about their skill in performing various mathematical operations, and 4 measure people's preferences regarding the presentation of numerical information. The SNS was significantly correlated with Lipkus and others' objective numeracy scale (correlations: 0.63—0.68) yet was completed in less time (24 s/item v. 31 s/item, P < 0.05) and was perceived as less stressful (1.62 v. 2.69, P < 0.01) and less frustrating (1.92 v. 2.88, P < 0.01). Fifty percent of participants who completed the SNS volunteered to participate in another study, whereas only 8% of those who completed the Lipkus and others scale similarly volunteered (odds ratio = 11.00, 95% confidence interval = 2.14—56.65). Conclusions. The SNS correlates well with mathematical test measures of objective numeracy but can be administered in less time and with less burden. In addition, it is much more likely to leave participants willing to participate in additional research and shows much lower rates of missing or incomplete data.
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Numeracy skills were measured using the Subjective Numeracy Scale, a self-report measure of perceived ability to perform mathematical tasks and preference for numerical information.
“To measure numeracy skills, we employed the Subjective Numeracy Scale [38], which is a self-report measure of perceived ability to perform various mathematical tasks and preference for the use of numerical information.”
From Dealing with Uncertainty: Understanding the Impact of Prognostic Versus Diagnostic Tasks on Trust and Reliance in Human-AI Decision Making (2024) · cites this paper as [38]
Cites
Multiple regression in behavioral research
Kerlinger, F. N., & Pedhazur, E. J. (1973) · Medical Entomology and Zoology · Cited by 4,877 · see citing works
The test of functional health literacy in adults
Parker, R. M., Baker, D. W., Williams, M. V., & Nurss, J. R. (1995) · Journal of General Internal Medicine · doi:10.1007/bf02640361 · Cited by 2,034 · see citing works
Development of a brief test to measure functional health literacy
Baker, D. W., Williams, M. V., Parker, R. M., Gazmararian, J. A., & Nurss, J. R. (1999) · Patient Education and Counseling · doi:10.1016/s0738-3991(98)00116-5 · Cited by 1,545 · see citing works
General Performance on a Numeracy Scale among Highly Educated Samples
Lipkus, I. M., Samsa, G., & Rimer, B. K. (2001) · Medical Decision Making · doi:10.1177/0272989x0102100105 · Cited by 1,501 · see citing works
Relationship of Functional Health Literacy to Patients' Knowledge of Their Chronic Disease
Williams, M. V., Baker, D. W., Parker, R. M., & Nurss, J. R. (1998) · Archives of Internal Medicine · doi:10.1001/archinte.158.2.166 · Cited by 1,159 · see citing works
The Role of Numeracy in Understanding the Benefit of Screening Mammography
Schwartz, L. M., Woloshin, S., Black, W. C., & Welch, H. G. (1997) · Annals of Internal Medicine · doi:10.7326/0003-4819-127-11-199712010-00003 · Cited by 1,132 · see citing works
Functional Health Literacy and the Risk of Hospital Admission Among Medicare Managed Care Enrollees
Baker, D. W., Gazmararian, J. A., Williams, M. V., Scott, T. L., Parker, R. M., Green, D., Ren, J., & Peel, J. L. (2002) · American Journal of Public Health · doi:10.2105/ajph.92.8.1278 · Cited by 1,004 · see citing works
Health literacy and knowledge of chronic disease
Gazmararian, J. A., Williams, M. V., Peel, J. L., & Baker, D. W. (2003) · Patient Education and Counseling · doi:10.1016/s0738-3991(02)00239-2 · Cited by 896 · see citing works
Health literacy and the risk of hospital admission
Baker, D. W., Parker, R. M., Williams, M. V., & Clark, W. S. (1998) · Journal of General Internal Medicine · doi:10.1046/j.1525-1497.1998.00242.x · Cited by 840 · see citing works
Adult literacy in America : a first look at the results of the National Adult Literacy Survey
Kirsch, I. S., & Improvement (1993) · Cited by 814 · see citing works
Scott, T. L., Gazmararian, J. A., Williams, M. V., & Baker, D. W. (2002) · Medical Care · doi:10.1097/00005650-200205000-00005 · Cited by 743 · see citing works
The relationship of patient reading ability to self-reported health and use of health services.
Baker, D. W., Parker, R. M., Williams, M. V., Clark, W. S., & Nurss, J. R. (1997) · American Journal of Public Health · doi:10.2105/ajph.87.6.1027 · Cited by 720 · see citing works
Perceptions of Breast Cancer Risk and Screening Effectiveness in Women Younger Than 50 Years of Age
Black, W. C., Nease, R. F., & Tosteson, A. N. A. (1995) · JNCI Journal of the National Cancer Institute · doi:10.1093/jnci/87.10.720 · Cited by 411 · see citing works
Multiple Regression in Behavioral Research
Lawton, M. P., Kleban, M. H., & Fulcomer, M. C. (1976) · Journal of Gerontology · doi:10.1093/geronj/31.3.358 · Cited by 372 · see citing works
Zikmund-Fisher, B. J., Smith, D. M., Ubel, P. A., & Fagerlin, A. (2007) · Medical Decision Making · doi:10.1177/0272989x07303824 · Cited by 353 · see citing works
Self-citationHealth literacy and use of outpatient physician services by medicare managed care enrollees
Baker, D. W., Gazmararian, J. A., Williams, M. V., Scott, T. L., Parker, R. M., Green, D., Ren, J., & Peel, J. L. (2004) · Journal of General Internal Medicine · doi:10.1111/j.1525-1497.2004.21130.x · Cited by 215 · see citing works
Assessing Values for Health: Numeracy Matters
Woloshin, S., Schwartz, L. M., Moncur, M. M., et al. (2001) · Medical Decision Making · doi:10.1177/0272989x0102100505 · Cited by 171 · see citing works
A New Scale for Assessing Perceptions of Chance
Woloshin, S., Schwartz, L. M., Byram, S. J., Fischhoff, B., & Welch, H. G. (2000) · Medical Decision Making · doi:10.1177/0272989x0002000306 · Cited by 143 · see citing works
Agreement Between Scales in the Measurement of Breast Cancer Risk Perceptions
Schapira, M. M., Davids, S. L., McAuliffe, T. L., & Nattinger, A. B. (2004) · Risk Analysis · doi:10.1111/j.0272-4332.2004.00466.x · Cited by 87 · see citing works
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Running experiments on Amazon Mechanical Turk
Paolacci, G., Chandler, J., & Ipeirotis, P. G. (2010) · Judgment and Decision Making · doi:10.1017/s1930297500002205 · Cited by 3,767 · see citing works
THE EFFECTS OF PERCEIVED AND ACTUAL FINANCIAL LITERACY ON FINANCIAL BEHAVIORS
Allgood, S., & Walstad, W. B. (2016) · Economic Inquiry · doi:10.1111/ecin.12255 · Cited by 620 · see citing works
Allen, L. A., McIlvennan, C. K., Thompson, J. S., Dunlay, S. M., LaRue, S. J., Lewis, E. F., Patel, C. B., Blue, L., Fairclough, D. L., Leister, E. C., et al. (2018) · JAMA Internal Medicine · doi:10.1001/jamainternmed.2017.8713 · Cited by 179 · see citing works
Holden, R. J., Kulanthaivel, A., Purkayastha, S., Goggins, K. M., & Kripalani, S. (2017) · International Journal of Medical Informatics · doi:10.1016/j.ijmedinf.2017.10.006 · Cited by 131 · see citing works
Nanna, M. G., Navar, A. M., Zakroysky, P., Xiang, Q., Goldberg, A. C., Robinson, J., Roger, V. L., Virani, S. S., Wilson, P. W. F., Elassal, J., et al. (2018) · JAMA Cardiology · doi:10.1001/jamacardio.2018.1511 · Cited by 122 · see citing works
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Kilby, C. J., & Sherman, K. A. (2016) · SpringerPlus · doi:10.1186/s40064-016-1937-7 · Cited by 67 · see citing works
Salimzadeh, S., He, G., & Gadiraju, U. (2024) · Proceedings of the CHI Conference on Human Factors in Computing Systems · doi:10.1145/3613904.3641905 · Cited by 41 · see citing works
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Nguyen, L., Keshavjee, K., Archer, N., Patterson, C., Gwadry-Sridhar, F., & Demers, C. (2017) · International Journal of Medical Informatics · doi:10.1016/j.ijmedinf.2017.06.001 · Cited by 22 · see citing works
- Authors
- Fagerlin, A., Zikmund-Fisher, B. J., Ubel, P. A., Jankovic, A., Derry, H. A., & Smith, D. M.
- Affiliations
- University of Michigan (US)
- VA Health Services Research & Development Center for Practice Management and Outcomes Research, VA Ann Arbor Healthcare System, Ann Arbor, Michigan, Center for Behavioral and Decision Sciences in Medicine, Ann Arbor, Michigan, Division of General Internal Medicine, University of Michigan, Ann Arbor, Michigan
- Corresponding author
- Fagerlin, Angela
- Venue
- Medical Decision Making
- Publisher
- SAGE Publications
- Published
- 2007-09
- Volume
- 27
- Issue
- 5
- Pages
- 672-680
- ISSN
- 0272-989X (ISSN-L)
- 1552-681X
- OpenAlex
- W2143417015
- Cited by
- 960
- References
- 19
- Citations by year
- 2026: 47 · 2025: 48 · 2024: 55 · 2023: 66 · 2022: 75 · 2021: 61 · 2020: 70 · 2019: 72 · 2018: 80 · 2017: 62 · 2016: 44 · 2015: 63 · 2014: 59 · 2013: 48 · 2012: 40
- FWCI
- 28.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Medical Decision Making (publishedVersion)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Funders
- National Cancer Institute (R01CA087595, 1 P50 CA10145-01, R01 CA87595-01A1)
- Topics
- Health Sciences › Health Professions › General Health Professions › Health Literacy and Information Accessibility
- Health Sciences › Health Professions › General Health Professions › Patient-Provider Communication in Healthcare
- Social Sciences › Sociology and Political Science › Survey Methodology and Nonresponse
- Keywords
- numeracy, self-assessment, subjective numeracy, mathematical ability, risk communication, patient understanding, scale development, survey burden
- MeSH terms
- Adult, Aged, Aged, 80 and over, Educational Measurement, Female, Hospitals, Veterans, Humans, Male, Mathematics, Middle Aged, Patient Education as Topic, Patient Participation, Surveys and Questionnaires, United States, Comprehension
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