Rasch Analysis of General Self-Efficacy Among Individuals with Intellectual Disabilities
Abstract
1. Introduction
- What is the item fit of the GSES?
- What is the item difficulty of the GSES?
- What is the fit of the GSES rating scale?
- What are the person and item separation indices of the GSES?
2. Materials and Methods
2.1. Data
2.2. Measure
2.3. Statistical Analysis
3. Results
3.1. Unidimensionality
3.2. Item Difficulty
3.3. Suitability of the Rating Scale
3.4. Person and Item Separation Indices
4. Discussion
5. Conclusions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| GSES | General Self-Efficacy Scale |
| ID | Intellectual disabilities |
| GSSES | Glasgow Social Self-Efficacy Scale |
| IRT | Item response theory |
| CAT | Computer-adaptive testing |
| MNSQ | mean square |
References
- Amtmann, D., Bamer, A. M., Cook, K. F., Askew, R. L., Noonan, V. K., & Brockway, J. A. (2012). University of Washington self-efficacy scale: A new self-efficacy scale for people with disabilities. Archives of Physical Medicine and Rehabilitation, 93(10), 1757–1765. [Google Scholar] [CrossRef] [PubMed]
- Andrich, D. (2016). Rasch rating-scale model. In Handbook of item response theory (pp. 75–94). Chapman & Hall/CRC. [Google Scholar]
- APA (American Psychiatric Association). (2013). Diagnostic and statistical manual of mental disorders (5th ed). APA. [Google Scholar]
- Baker, F. B., & Kim, S. H. (2004). Item response theory: Parameter estimation techniques. CRC Press. [Google Scholar]
- Bandura, A. (1977). Self-efficacy: Toward a unifying theory of behavioral change. Psychological Review, 84(2), 191–215. [Google Scholar] [CrossRef]
- Bandura, A. (1982). Self-efficacy mechanism in human agency. American Psychologist, 37(2), 122–147. [Google Scholar] [CrossRef]
- Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory (pp. 23–28). Prentice-Hall Inc. [Google Scholar]
- Bandura, A. (2006). Guide for constructing self-efficacy scales. Self-Efficacy Beliefs of Adolescents, 5(1), 307–337. [Google Scholar]
- Bandura, A., Adams, N. E., Hardy, A. B., & Howells, G. N. (1980). Tests of the generality of self-efficacy theory. Cognitive Therapy and Research, 4(1), 39–66. [Google Scholar] [CrossRef]
- Bandura, A., Jeffery, R. W., & Gajdos, E. (1975). Generalizing change through participant modeling with self-directed mastery. Behaviour Research and Therapy, 13(2–3), 141–152. [Google Scholar] [CrossRef]
- Bandura, A., & Schunk, D. H. (1981). Cultivating competence, self-efficacy, and intrinsic interest through proximal self-motivation. Journal of Personality and Social Psychology, 41(3), 586–598. [Google Scholar] [CrossRef]
- Battisti, F. D., Nicolini, G., & Salini, S. (2010). The Rasch model in customer satisfaction survey data. Quality Technology and Quantitative Management, 7(1), 15–34. [Google Scholar] [CrossRef]
- Bernie-Smith, M., Ittenbach, R. F., & Patton, J. R. (2002). Mental retardation (6th ed.). Merrill. [Google Scholar]
- Boat, T. F., & Wu, J. T. (2015). Committee to Evaluate the Supplemental Security Income Disability Program for Children with Mental Disorders, & National Academies of Sciences, Engineering, and Medicine Clinical characteristics of intellectual disabilities. In Mental disorders and disabilities among low-income children. National Academies Press (US). [Google Scholar]
- Bond, T. G., & Fox, C. M. (2013). Applying the Rasch model: Fundamental measurement in the human sciences. Psychology Press. [Google Scholar]
- Boone, W. J., Staver, J. R., & Yale, M. S. (2014). Person reliability, item reliability, and more. In Rasch analysis in the human sciences (pp. 217–234). Springer. [Google Scholar] [CrossRef]
- Costello, A. B., & Osborne, J. (2005). Best practices in exploratory factor analysis: Four recommendations for getting the most from your analysis. Practical Assessment, Research and Evaluation, 10(1), 7. [Google Scholar] [CrossRef]
- Cuskelly, M., & Gilmore, L. (2014). Motivation in children with intellectual disabilities. Research and Practice in Intellectual and Developmental Disabilities, 1(1), 51–59. [Google Scholar] [CrossRef]
- DeVellis, R. F., & Thorpe, C. T. (2021). Scale development: Theory and applications. Sage Publications. [Google Scholar]
- Embretson, S. E., & Reise, S. P. (2013). Item response theory for psychologists. Psychology Press. [Google Scholar]
- Erez, G., & Peled, I. (2001). Cognition and metacognition: Evidence of higher thinking in problem solving of adolescents with mental retardation. Education and Training in Mental Retardation and Developmental Disabilities, 36, 83–93. [Google Scholar] [CrossRef]
- Fabrigar, L. R., & Wegener, D. T. (2012). Exploratory factor analysis. Oxford University Press. [Google Scholar]
- Gacek, M., Smoleń, T., & Pilecka, W. (2017). Consequences of learned helplessness and recognition of the state of cognitive exhaustion in persons with mild intellectual disability. Advances in Cognitive Psychology, 13(1), 42. [Google Scholar] [CrossRef]
- Gobeille, M., Bittner, A. K., Malkin, A. G., Ho, J., Idman-Rait, C., Estabrook, M., Ross, N. C., & CARE Study Team. (2024). Rasch analysis of the new general self-efficacy scale: An evaluation of its psychometric properties in older adults with low vision. Health and Quality of Life Outcomes, 22(1), 90. [Google Scholar] [CrossRef]
- Hampton, N. Z., & Mason, E. (2003). Learning disabilities, gender, sources of efficacy, self-efficacy beliefs, and academic achievement in high school students. Journal of School Psychology, 41(2), 101–112. [Google Scholar] [CrossRef]
- Heller, T., Hsieh, K., & Rimmer, J. H. (2004). Attitudinal and psychosocial outcomes of a fitness and health education program on adults with Down syndrome. American Journal of Mental Retardation: AJMR, 109(2), 175–185. [Google Scholar] [CrossRef] [PubMed]
- Hunt, N., & Marshall, K. (2002). Exceptional children and youth: An introduction to special education. Houghton Mifflin. [Google Scholar]
- Jerusalem, M., & Schwarzer, R. (2014). Self-efficacy as a resource factor in stress appraisal processes. In Self-efficacy (pp. 195–214). Taylor & Francis. [Google Scholar]
- Jo, G., Rossow-Kimball, B., & Lee, Y. (2018). Effects of 12-week combined exercise program on self-efficacy, physical activity level, and health related physical fitness of adults with intellectual disability. Journal of Exercise Rehabilitation, 14(2), 175–182. [Google Scholar] [CrossRef] [PubMed]
- Kim, J., & Gray, J. A. (2024). Measuring palliative care self-efficacy of intellectual and developmental disability staff using Rasch models. Palliative and Supportive Care, 22(1), 146–154. [Google Scholar] [CrossRef]
- Linacre, J. M. (1994). Sample size and item calibration stability. Rasch Measurement Transactions, 7(4), 328. Available online: https://www.rasch.org/rmt/rmt74m.htm (accessed on 26 November 2025).
- Linacre, J. M., Stone, M. H., William, J., Fisher, P., & Tesio, L. (2002). Rasch measurement. Rasch Measurement Transactions, 16, 871. [Google Scholar]
- Litt, M. D. (1988). Self-efficacy and perceived control: Cognitive mediators of pain tolerance. Journal of Personality and Social Psychology, 54(1), 149–160. [Google Scholar] [CrossRef]
- Luszczynska, A., Scholz, U., & Schwarzer, R. (2005). The general self-efficacy scale: Multicultural validation studies. The Journal of Psychology, 139(5), 439–457. [Google Scholar] [CrossRef] [PubMed]
- McGrew, K. S., & Evans, J. (2004). Expectations for students with cognitive disabilities: Is the cup half empty or half full? Can the cup flow over Synthesis Report (Vol. 55). Institute on Community Integration, University of Minnesota. [Google Scholar]
- Nel, P., & Boshoff, A. (2016). Evaluating the factor structure of the general self-efficacy scale. South African Journal of Psychology, 46(1), 37–49. [Google Scholar] [CrossRef]
- Nota, L., Ginevra, M. C., & Carrieri, L. (2010). Career interests and self-efficacy beliefs among young adults with an intellectual disability. Journal of Policy and Practice in Intellectual Disabilities, 7(4), 250–260. [Google Scholar] [CrossRef]
- O’Leary, A. (1985). Self-efficacy and health. Behaviour Research and Therapy, 23(4), 437–451. [Google Scholar] [CrossRef] [PubMed]
- Park, J.-Y., & Park, E. Y. (2019). The Rasch analysis of Rosenberg self-esteem scale in individuals with intellectual disabilities. Frontiers in Psychology, 10. [Google Scholar] [CrossRef]
- Patrick, H., Hicks, L., & Ryan, A. M. (1997). Relations of perceived social efficacy and social goal pursuit to self-efficacy for academic work. The Journal of Early Adolescence, 17(2), 109–128. [Google Scholar] [CrossRef]
- Payne, R., & Jahoda, A. (2004). The Glasgow Social self-efficacy Scale—A new scale for measuring social self-efficacy in people with intellectual disability. Clinical Psychology & Psychotherapy, 11(4), 265–274. [Google Scholar] [CrossRef]
- Peterson, J. J., Lowe, J. B., Peterson, N. A., Nothwehr, F. K., Janz, K. F., & Lobas, J. G. (2008). Paths to leisure physical activity among adults with intellectual disabilities: Self-efficacy and social support. American Journal of Health Promotion: AJHP, 23(1), 35–42. [Google Scholar] [CrossRef]
- Preacher, K. J., & MacCallum, R. C. (2003). Repairing Tom Swift’s electric factor analysis machine. Understanding Statistics, 2(1), 13–43. [Google Scholar] [CrossRef]
- Schalock, R. L., Luckasson, R., & Tassé, M. J. (2021). An overview of intellectual disability: Definition, diagnosis, classification, and systems of supports (12th ed., Volume 126, 6, pp. 439–442). American Journal on Intellectual and Developmental Disabilities. [Google Scholar] [CrossRef]
- Schwarzer, R., Bäßler, J., Kwiatek, P., Schröder, K., & Zhang, J. X. (1997). The assessment of optimistic self-beliefs: Comparison of the German, Spanish, and Chinese versions of the general self-efficacy scale. Applied Psychology, 46(1), 69–88. [Google Scholar] [CrossRef]
- Smith, R. M., & Miao, C. Y. (1994). Assessing unidimensionality for Rasch measurement. Objective Measurement: Theory into Practice, 2, 316–327. [Google Scholar]
- Stevens, G., Jahoda, A., Matthews, L., Hankey, C., Melville, C., Murray, H., & Mitchell, F. (2018). A theory-informed qualitative exploration of social and environmental determinants of physical activity and dietary choices in adolescents with intellectual disabilities in their final year of school. Journal of Applied Research in Intellectual Disabilities, 31, 52–67. [Google Scholar] [CrossRef]
- Taylor, R. L., Richards, S. B., & Brady, M. P. (2005). Mental retardation: Historical perspectives, current practices, and future directions. Allyn & Bacon. [Google Scholar]
- Thompson, J. R., Shogren, K. A., & Wehmeyer, M. L. (2016). Supports and support needs in strengths-based models of intellectual disability. In Handbook of research-based practices for educating students with intellectual disability (pp. 39–57). Routledge. [Google Scholar]
- Van der Linden, W. J., & Glas, C. A. W. (2000). Computerized adaptive testing: Theory and practice. Kluwer Academic Publishers. [Google Scholar]
- Wright, B., & Panchapakesan, N. (1969). A procedure for sample-free item analysis. Educational and Psychological Measurement, 29(1), 23–48. [Google Scholar] [CrossRef]
- Wright, B. D., & Masters, G. N. (1982). Rating scale analysis. MESA Press. [Google Scholar]
- Wright, B. D., & Stone, M. H. (1979). Best test design: Rasch measurement. MESA Press. [Google Scholar]
- Yu, S., Wang, T., Zhong, T., Qian, Y., & Qi, J. (2022). Barriers and facilitators of physical activity participation among children and adolescents with intellectual disabilities: A scoping review. Healthcare, 10(2), 233. [Google Scholar] [CrossRef]

| Category | n | % | X2 |
|---|---|---|---|
| Gender | |||
| Men | 147 | 63.4 | 18.589 ** |
| Women | 85 | 36.6 | |
| Age (years) | |||
| 15–29 | 107 | 46.1 | 136.879 ** |
| 30–39 | 63 | 27.2 | |
| 40–49 | 29 | 12.5 | |
| 50–59 | 29 | 12.5 | |
| 60–64 | 4 | 1.7 | |
| Education level | |||
| No education | 16 | 6.9 | 352.017 ** |
| Elementary school graduate | 26 | 11.2 | |
| Junior high school graduate | 27 | 11.6 | |
| High school graduate | 144 | 62.1 | |
| College graduate | 11 | 4.7 | |
| University graduate | 8 | 3.4 | |
| Severity of disability | |||
| Grade 1 | 40 | 17.2 | 27.379 ** |
| Grade 2 | 78 | 32.8 | |
| Grade 3 | 116 | 50.0 | |
| Comorbid disability | |||
| Yes | 23 | 9.9 | 149.121 ** |
| No | 209 | 90.1 | |
| Residential area | |||
| Big city | 83 | 35.8 | 6.060 * |
| Small or medium-sized city | 60 | 25.9 | |
| Rural area | 89 | 38.4 | |
| Marital status | |||
| Unmarried | 186 | 80.2 | 383.017 ** |
| Married | 31 | 13.4 | |
| Divorced | 10 | 4.3 | |
| Bereaved | 5 | 2.2 |
| Item No. | Measure | SE | Infit | Outfit | ||
|---|---|---|---|---|---|---|
| MNSQ | Z-Value | MNSQ | Z-Value | |||
| 1 | 31.21 | 1.70 | 1.23 | 2.1 | 1.39 | 2.8 |
| 2 * | 51.89 | 1.75 | 1.81 | 6.0 | 1.69 | 4.2 |
| 3 | 49.15 | 1.74 | 1.24 | 2.1 | 1.16 | 1.2 |
| 4 | 51.89 | 1.75 | 0.83 | −1.6 | 0.72 | −2.2 |
| 5 | 52.19 | 1.75 | 0.85 | −1.4 | 0.75 | −1.9 |
| 6 | 51.58 | 1.75 | 0.96 | −0.4 | 0.91 | −0.6 |
| 7 | 54.13 | 1.76 | 0.87 | −1.2 | 0.87 | −0.9 |
| 8 | 50.67 | 1.75 | 0.65 | −3.7 | 0.56 | −3.8 |
| 9 | 54.66 | 1.76 | 0.69 | −3.1 | 0.60 | −3.3 |
| 10 | 52.62 | 1.76 | 0.73 | −2.7 | 0.64 | −3.0 |
| Item No. | Measure | SE | Infit | Outfit | ||
|---|---|---|---|---|---|---|
| MNSQ | Z-Value | MNSQ | Z-Value | |||
| 1 | 30.95 | 1.61 | 1.24 | 2.4 | 1.34 | 2.5 |
| 3 * | 48.92 | 1.66 | 1.59 | 5.0 | 1.45 | 3.0 |
| 4 | 51.41 | 1.67 | 0.96 | −0.4 | 0.87 | −0.9 |
| 5 | 52.25 | 1.67 | 0.82 | −1.8 | 0.69 | −2.5 |
| 6 | 52.53 | 1.67 | 1.00 | 0.0 | 0.94 | −0.4 |
| 7 | 54.60 | 1.69 | 1.02 | 0.3 | 1.05 | 0.4 |
| 8 | 51.97 | 1.67 | 0.67 | −3.6 | 0.55 | −3.9 |
| 9 | 54.22 | 1.68 | 0.75 | −2.6 | 0.65 | −2.8 |
| 10 | 53.17 | 1.68 | 0.74 | −2.7 | 0.64 | −2.9 |
| Item No. | Measure | SE | Infit | Outfit | ||
|---|---|---|---|---|---|---|
| MNSQ | Z-Value | MNSQ | Z-Value | |||
| 1 | 29.46 | 1.69 | 1.33 | 3.0 | 1.50 | 3.2 |
| 4 | 51.55 | 1.72 | 1.27 | 2.5 | 1.16 | 1.1 |
| 5 | 51.85 | 1.72 | 0.93 | −0.6 | 0.85 | −1.0 |
| 6 | 51.85 | 1.72 | 1.01 | 0.1 | 0.93 | −0.5 |
| 7 | 55.19 | 1.74 | 0.92 | −0.8 | 0.86 | −0.9 |
| 8 | 51.55 | 1.72 | 0.82 | −1.9 | 0.72 | −2.1 |
| 9 | 56.02 | 1.74 | 0.70 | −3.2 | 0.59 | −3.2 |
| 10 | 52.53 | 1.73 | 0.78 | −2.3 | 0.68 | −2.4 |
| Category Level | Observed Count | Observed Rate (%) | Average Measure | Infit MNSQ | Outfit MNSQ | Structure Measure |
|---|---|---|---|---|---|---|
| 1 | 225 | 16 | −75.18 | 0.84 | 0.67 | None |
| 2 | 807 | 57 | −31.98 | 0.93 | 0.98 | −67.33 |
| 3 | 365 | 26 | 12.06 | 1.07 | 1.07 | −2.75 |
| 4 | 17 | 1 | 55.95 | 1.31 | 1.40 | 70.07 |
| Category | Separation Index | Reliability |
|---|---|---|
| Person | 4.33 | 0.95 |
| Item | 4.50 | 0.95 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2025 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Share and Cite
Park, E.-Y. Rasch Analysis of General Self-Efficacy Among Individuals with Intellectual Disabilities. Behav. Sci. 2025, 15, 1639. https://doi.org/10.3390/bs15121639
Park E-Y. Rasch Analysis of General Self-Efficacy Among Individuals with Intellectual Disabilities. Behavioral Sciences. 2025; 15(12):1639. https://doi.org/10.3390/bs15121639
Chicago/Turabian StylePark, Eun-Young. 2025. "Rasch Analysis of General Self-Efficacy Among Individuals with Intellectual Disabilities" Behavioral Sciences 15, no. 12: 1639. https://doi.org/10.3390/bs15121639
APA StylePark, E.-Y. (2025). Rasch Analysis of General Self-Efficacy Among Individuals with Intellectual Disabilities. Behavioral Sciences, 15(12), 1639. https://doi.org/10.3390/bs15121639
