Abstract
Rasch analysis is increasingly used for developing and evaluating interval-level scales to measure abilities. Unlike Classical Test Theory (CTT) that uses correlations between items to select items measuring a latent construct, Rasch analysis applies a statistical model that predicts the precise mathematical relationship between an item and a latent trait to be measured. Proponents of Rasch analysis argue that, compared to the typically long scales with ordinal scores that are produced by CTT methodology, application of Rasch analysis results in shorter, more reliable measures with interval-level scores. With increased application of mindfulness-based interventions, evaluation of their effectiveness requires accurate measurement of mindfulness and associated outcomes. In particular, issues with measurement precision (e.g., ordinal rather than interval scaling), item functioning, and invariance across population groups have not been sufficiently addressed using appropriate modern statistical methods. This chapter focuses on Rasch methodology and its benefits to evaluate and enhance the psychometric properties of mindfulness scales and related outcome measures. It emphasizes the value of Rasch analysis to enhance both reliability and internal validity of psychometric instruments used in mindfulness assessment.
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References
Andrich, D. (1978). Rating formulation for ordered response categories. Psychometrika, 43, 561–573.
Andrich, D. (2004). Controversy and the Rasch model: A characteristic of incompatible paradigms? Medical Care, I7–I16.
Andrich, D., & Hagquist, C. (2013). Real and artificial differential item functioning. Journal of Educational and Behavioural Statistics, 37(3), 387–416.
Andrich, D., Sheridan, B., & Luo, G. (2009). RUMM 2030. RUMM Laboratory.
Baer, R., Smith, G., Hopkins, J., Krietemeyer, J., & Toney, L. (2006). Using self-report assessment methods to explore facets of mindfulness. Assessment, 13(1), 27–45.
Balalla, S. K., Medvedev, O. N., Siegert, R. J., & Krägeloh, C. U. (2019). Validation of the WHOQoL-BREF and shorter versions using Rasch analysis in traumatic brain injury and orthopaedic populations. Archives of Physical Medicine and Rehabilitation, 100(10), 1853–1862.
Bond, T. G., & Fox, C. M. (2007). Applying the Rasch Model: Fundamental measurement in the human sciences (2nd ed.). Routledge.
Brogden, H. E. (1977). The Rasch model, the law of comparative judgment and additive conjoint measurement. Psychometrika, 42(4), 631–634.
Christensen, K. B., Makransky, G., & Horton, M. (2017). Critical values for Yen’s Q 3: Identification of local dependence in the Rasch model using residual correlations. Applied Psychological Measurement, 41(3), 178–194.
DeVellis, R. F. (2006). Classical test theory. Medical Care, S50–S59.
Embretson, S. E. (1996). The new rules of measurement. Psychological Assessment, 8(4), 341.
Finaulahi, K. P., Sumich, A., Heym, N., & Medvedev, O. N. (2021). Investigating psychometric properties of the Self-Compassion Scale using Rasch methodology. Mindfulness, 12(3), 730–740.
Fisher, W. (1992). Reliability statistics. Rasch Measurement. Transactions, 6(3), 238.
Goh, H. E., Marais, I., & Ireland, M. J. (2017). A Rasch model analysis of the mindful attention awareness scale. Assessment, 24(3), 387–398.
Gustafsson, J. E. (1980). Testing and obtaining fit of data to the Rasch model. British Journal of Mathematical and Statistical Psychology, 33(2), 205–233.
Hobart, J., & Cano, S. (2009). Improving the evaluation of therapeutic interventions in multiple sclerosis: The role of new psychometric methods. Health Technology Assessment, 13(12), 1–200.
Hobart, J. C., Cano, S. J., & Thompson, A. J. (2010). Effect sizes can be misleading: Is it time to change the way we measure change? Journal of Neurological & Neurosurgical Psychiatry, 81, 1044–1048.
Hopkins, E. G., Lyndon, M. P., Henning, M. A., & Medvedev, O. N. (2021). Applying Rasch analysis to evaluate and enhance the Academic Motivation Scale. Australian Journal of Psychology, 1–9.
Khan, A., Chien, C. W., & Brauer, S. G. (2013). Rasch-based scoring offered more precision in differentiating patient groups in measuring upper limb function. Journal of Clinical Epidemiology, 66(6), 681–687.
Kim, E., Krägeloh, C. U., Medvedev, O. N., Duncan, L. G., & Singh, N. N. (2019). Interpersonal Mindfulness in Parenting scale: Testing the psychometric properties of a Korean version. Mindfulness, 10(3), 516–528.
Leung, Y. Y., Png, M.-E., Conaghan, P., & Tennant, A. (2014). A systematic literature review on the application of Rasch analysis in musculoskeletal disease – A special interest group report of OMERACT 11. Journal of Rheumatology, 41(1), 159–164.
Linacre, J. M. (2011). Winsteps Rasch measurement computer program, version 3.73.0. Winsteps.com.
Little, T. D., Cunningham, W. A., Shahar, G., & Widamon, K. F. (2002). To parcel or not to parcel: Exploring the question, weighting the merits. Structural Equation Modeling, 9(2), 151–173.
Lord, F. M., & Novick, M. R. (1968). Statistical theory of mental test scores. Addison-Wesley.
Lundgren Nilsson, Å., & Tennant, A. (2011). Past and present issues in Rasch analysis: The Functional Independence Measure (FIM™) revisited. Journal of Rehabilitation Medicine, 43(10), 884–891.
Lundgren-Nilsson, Å., Grimby, G., Ring, H., Tesio, L., Lawton, G., Slade, A., Penta, M., Tripolski, M., Biering-Sørensen, F., Carter, J., Marincek, C., Phillips, S., Simone, A., & Tennant, A. (2005). Cross-cultural validity of functional independence measure items in stroke: A study using Rasch analysis. Journal of Rehabilitation Medicine, 37, 23–31.
Lundgren-Nilsson, Å., Jonsdottir, I. H., Ahlborg, G., & Tennant, A. (2013). Construct validity of the Psychological General Well Being Index (PGWBI) in a sample of patients undergoing treatment for stress-related exhaustion: A Rasch analysis. Health and Quality of Life Outcomes, 11, 2.
Mansolf, M., & Reise, S. P. (2017). When and why the second-order and bifactor models are distinguishable. Intelligence, 61, 120–129.
Marais, I., & Andrich, D. (2008). Effects of varying magnitude and patterns of response dependence in the unidimensional Rasch model. Journal of Applied Measurement, 9(2), 105–124.
Masters, G. N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47(2), 149–174.
Medvedev, O. N., Bergomi, C., Röthlin, P., & Krägeloh, C. U. (2019). Assessing the psychometric properties of the Comprehensive Inventory of Mindfulness Experiences (CHIME) using Rasch analysis. European Journal of Psychological Assessment, 35(5), 650–657.
Medvedev, O. N., Pratscher, S. D., & Bettencourt, A. (2020). Psychometric evaluation of the Interpersonal Mindfulness Scale using Rasch analysis. Mindfulness, 11(8), 2007–2015.
Medvedev, O. N., Roemer, A., Krägeloh, C. U., Sandham, M. H., & Siegert, R. J. (2021). Enhancing the precision of the Positive and Negative Affect Schedule (PANAS) using Rasch analysis. Current Psychology, 1–10.
Medvedev, O. N., Siegert, R. J., Feng, X. J., Billington, D. R., Jang, J. Y., & Krägeloh, C. U. (2016). Measuring trait mindfulness: How to improve the precision of the Mindful Attention Awareness Scale using a Rasch model. Mindfulness, 7(2), 384–395.
Medvedev, O. N., Siegert, R. J., Kersten, P., & Krägeloh, C. U. (2016). Rasch analysis of the Kentucky Inventory of Mindfulness Skills. Mindfulness, 7(2), 466–478.
Medvedev, O. N., Siegert, R. J., Kersten, P., & Krägeloh, C. U. (2017). Improving the precision of the Five Facet Mindfulness Questionnaire using a Rasch approach. Mindfulness, 8(4), 995–1008.
Medvedev, O. N., Titkova, E. A., Siegert, R. J., Hwang, Y. S., & Krägeloh, C. U. (2018). Evaluating short versions of the Five Facet Mindfulness Questionnaire using Rasch analysis. Mindfulness, 9(5), 1411–1422.
Medvedev, O. N., Turner-Stokes, L., & Siegert, R. J. (2018). Rasch analysis of the UK Functional Assessment Measure in patients with complex disability after stroke. Journal of Rehabilitation Medicine. https://doi.org/10.2340/16501977-2324
Norquist, J. M., Fitzpatrick, R., Dawson, J., & Jenkinson, C. (2004). Comparing alternative Rasch-based methods vs raw scores in measuring change in health. Medical Care, 42(1), 125–136.
Park, T., Reilly-Spong, M., & Gross, C. R. (2013). Mindfulness: A systematic review of instruments to measure an emergent patient-reported outcome (PRO). Quality of Life Research, 22, 2639–2659.
Raman, K., Siegert, R. J., Saha, P. K., & Krägeloh, C. U. (2021). Validation of the English-language version of the Five Facet Mindfulness Questionnaire in India: A Rasch analysis. Mindfulness. https://doi.org/10.1007/s12671-021-01757-8
Rasch, G. (1960). Probabilistic models for some intelligence and attainment test. Danish Institute for Educational Research.
Rasch, G. (1961). On general laws and the meaning of measurement in psychology. In Symposium conducted at the meeting of the Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability. University of California Press.
Rushton, J. P., Brainerd, C. J., & Pressley, M. (1983). Behavioral development and construct validity: The principle of aggregation. Psychological Bulletin, 94(1), 18–38.
Sauer, S., Ziegler, M., Danay, E., Ives, J., & Kohls, N. (2013). Specific objectivity of mindfulness – A Rasch analysis of the Freiburg Mindfulness Inventory. Mindfulness, 4(1), 45–54.
Schumacker, R. (2019). Psychometric packages in R. Measurement: Interdisciplinary Research and Perspectives, 17(2), 106–112.
Siegert, R. J., Tennant, A., & Turner-Stokes, L. (2010). Rasch analysis of the Beck Depression Inventory-II in a neurological rehabilitation sample. Disability and Rehabilitation, 32(1), 8–17.
Smith, E. V. (2002). Detecting and evaluation the impact of multidimensionality using item fit statistics and principal component analysis of residuals. Journal of Applied Measurement, 3(2), 205–231.
Stewart-Brown, S., Tennant, A., Tennant, R., Platt, S., Parkinson, J., & Weich, S. (2009). Internal construct validity of the Warwick-Edinburgh mental well-being scale (WEMWBS): A Rasch analysis using data from the Scottish health education population survey. Health and Quality of Life Outcomes, 7(1), 15.
Swerdlik, M. E., & Cohen, R. J. (2005). Psychological testing and assessment: An introduction to tests and measurement. McGraw-Hill.
Tennant, A., & Conaghan, P. G. (2007). The Rasch measurement model in rheumatology: What is it and why use it? When should it be applied, and what should one look for in a Rasch paper? Arthritis & Rheumatism, 57(8), 1358–1362.
Tennant, A., & Pallant, J. F. (2006). Unidimensionality matters! (a tale of two Smiths?). Rasch Measurement Transactions, 20, 1048–1051.
Thurstone, L. L. (1931). The measurement of social attitudes. Abnormal and Social Psychology, 27, 249–269.
Turner-Stokes, L., Nyein, K., Turner-Stokes, T., & Gatehouse, C. (1999). The UK FIM+FAM: Development and evaluation. Clinical Rehabilitation, 13, 277–287.
Wainer, H., & Kiely, G. (1987). Item clusters and computer adaptive testing: A case for testlets. Journal of Educational Measurement, 24(3), 185–201.
Wilson, M. (2005). Constructing measures. LEA.
Wright, B. D. (1996). Local dependency, correlations and principal components. Rasch Measurement Transaction, 10, 509–511.
Wright, B. D., & Stone, M. H. (1979). Best test design. MESA Press.
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Medvedev, O.N., Krägeloh, C.U. (2022). Rasch Measurement Model. In: Medvedev, O.N., Krägeloh, C.U., Siegert, R.J., Singh, N.N. (eds) Handbook of Assessment in Mindfulness Research. Springer, Cham. https://doi.org/10.1007/978-3-030-77644-2_4-1
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