Analysis of Multiple Partially Ordered Responses to Belief Items with Don’t Know Option

Psychometrika

Volumn 81, Issue 2, 2016, Pages 483-505

  Ip, Edward H ^a   Chen, Shyh Huei ^a   Quandt, Sara A ^a  

^a WAKE FOREST SCHOOL OF MEDICINE   (United States)

Author keywords

common sense model; diabetes; item response theory; lay beliefs about disease; poset; poset partitioned conditional IRT; weakly ordered set

Indexed keywords

ALGORITHM; ATTITUDE TO HEALTH; CULTURAL ANTHROPOLOGY; DIABETES MELLITUS; HUMAN; PSYCHOMETRY; QUESTIONNAIRE; STATISTICS; THEORETICAL MODEL;

ALGORITHMS; ATTITUDE TO HEALTH; CULTURE; DIABETES MELLITUS; HEALTH KNOWLEDGE, ATTITUDES, PRACTICE; HUMANS; MODELS, THEORETICAL; PSYCHOMETRICS; STATISTICS AS TOPIC; SURVEYS AND QUESTIONNAIRES;

EID: 84916624620     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-014-9432-y     Document Type: Article

References (61)

1. American Diabetes Association, ADA. (2012). Standards of medical care in diabetes. Diabetes Care, 35(Suppl. 1), S11–S63.
2. Arcury, T. A., Grzywacz, J. G., Ip, E. H., Saldana, S., Nguyen, H. T., Bell, R. A., et al. (2012). Social integration and diabetes management among rural older adults. Journal of Aging and Health, 24, 899–922.
3. Baer, R. D., Weller, S. C., de Alba, Garcia, Garcia, J., & Salcedo Rocha, A. L. (2004). A comparison of community and physician explanatory models of AIDS in Mexico and the United States. Medical Anthropology Quarterly, 18, 3–22.
4. Baer, R. D., Weller, S. C., de Alba, Garcia, Garcia, J., & Salcedo Rocha, A. L. (2008). Cross-cultural perspectives on physician and lay models of the common cold. Medical Anthropology Quarterly, 22, 148–66.
5. Birkhoff, G. (1940). Lattice theory. Providence, RI: American Mathematical Society, Colloquium Publication.
6. Bock, R. (1972). Estimating item parameters and latent ability when responses are scored in two or more latent categories. Psychometrika, 57, 29–51.
7. Bock, R., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm. Psychometrika, 46, 443–459.
8. Bock, R. D. (1996). The nominal categories model. In W. J. van der Linder & R. K. Hambleton (Eds.), Handbook of item response theory (pp. 33–50). New York: Springer.
9. Böckenholt, U. (2012). Modeling multiple response processes in judgment and choice. Psychological Methods, 17, 665–678.
10. Bond, T. G., & Fox, J. C. (2012). Applying the Rasch model: Fundamental measurement in the human sciences (2nd ed.). New York: Routledge.
11. Braeken, J., & Tuerlinckx, F. (2009). Investigating latent constructs with item response models: A MATLAB IRTm toolbox. Behavior Research Methods, 41, 1127–1137.
12. Brock, B. (1984). Factors influencing intentions and behaviors toward swine flu vaccine. Doctoral dissertation, University of Michigan, Ann Arbor, MI.
13. Brüggemann, R., & Patil, G. P. (2009). Ranking and prioritization for multi-indicator systems. New York: Springer.
14. Brüggermann, R., & Voigt, K. (2009). Analysis of partial orders in environmental systems applying the new software PyHasse. In W. Jochen & F. Michael (Eds.), Simulation in Umwel- ad Geowissenchaften, workshop Potsdam 2009 (pp. 43–55). Aachen: Shaker Verlag.
15. Cai, L., Thissen, D., & du Toit, S. H. C. (2011). IRTPRO for windows [computer software]. Lincolnwood, IL: Scientific Software International.
16. Chavez, L. R., Hubbell, F. A., McMullin, J. M., Martinez, R. G., & Mishra, S. I. (1995). Structure and meaning in models of breast and cervical cancer risk factors: A comparison of perceptions among Latinas, Anglo women, and physicians. Medical Anthropology Quarterly, 9, 40–74.
17. De Boeck, P., & Wilson, M. (2004). Explanatory item response models: A generalized linear and nonlinear approach. New York: Springer.
18. De Boeck, P., & Partchev, I. (2012). IRTrees: Tree-based item response models of the GLMM family. Journal of Statistical Software, 48, 1–28.
19. Dushnik, B., & Miller, E. W. (1941). Partially ordered sets. American Journal of Mathematics, 63, 600–610.
20. Embretson, S., & Reise, S. (2000). Item response theory for psychologists. Mahwah, NJ: Erlbaum.
21. Epstein, R. M., & Street, R. L. (2011). The values and value of patient-centered care. Annals of Family Medicine, 9, 100–103.
22. Grzywacz, J., Arcury, T. A., Ip, E. H., Chapman, C., Kirk, J. C., Bell, R. A., et al. (2011). Older adults’ common-sense models of diabetes: A multi-method approach illustrating the importance of viewing health beliefs holistically. American Journal of Health Behavior, 35, 318–333.
23. Ip, E. H., Wang, Y., de Boeck, P., & Meulders, M. (2004). Locally dependent latent trait model for polytomous responses with application to inventory of hostility. Psychometrika, 62, 191–216.
24. Ip, E., Zhang, Q., Rejeski, J., Harris, T., & Kritchevsky, S. (2013a). Partially ordered mixed hidden Markov model for the disablement process of older adults. Journal of the American Statistical Association, 108, 370–384.
25. Ip, E. H., Molenberghs, G., Chen, S., Goegebeur, Y., & De Boeck, P. (2013b). Functional unidimensional item response models for multivariate binary data. Multivariate Behavioral Research, 48, 534–562.
26. Ip, E. H., Saldana, S., Chen, S-H., Kirk, J. K., Bell, R. A., Nguyen, H., Grzywacz, J. G., Arcury, T. A., & Quandt, S. A. (2013c). Unreliable item or inconsistent person? A study of variation in health beliefs and belief—anchors to biomedical models. Journal of Health Psychology. doi:10.1177/1359105313506761.
27. Kleinman, A. (1980). Patients and healers in the context of culture. Berkeley, CA: University of California Press.
28. Kleinman, A. (1988). Illness narratives: Suffering, healing and the human condition. New York: Basic Press.
29. Kleinman, A., Eisenberg, L., & Good, B. (1978). Culture, illness, and care: Clinical lessons from anthropological and cross-cultural research. Annals of Internal Medicine, 88, 251–288.
30. Konisky, D. M., Milyo, J., & Richardson, L. E, Jr. (2008). Environmental policy attitudes: Issues, geographical scale, and political trust. Social Science Quarterly, 89, 1066–1085.
31. Leventhal, H., Brissette, I., & Leventhal, E. A. (2003). The common-ense model of self-regulation of health and illness. In L. D. Cameron & H. Levethal (Eds.), The self-regulation of health and illness behavior (pp. 42–65). London: Routledge.
32. Lord, F. (1980). Applications of item response theory to practical testing problems. Mahwah, NJ: Erlbaum.
33. Masters, G. (1982). A Rasch model for partial credit scoring. Psychometrika, 47, 149–174.
34. Meulders, M., Ip, E., & De Boeck, P. (2005). Latent variable models for partially ordered responses and trajectory analysis of anger-related feelings. British Journal of Mathematical and Statistical Psychology, 58, 117–143.
35. Muraki, E., & Bock, R. D. (2003). PARSCALE 4 for Windows: IRT based test scoring and item analysis for graded items and rating scales [Computer software]. Skokie, IL: Scientific Software International Inc.
36. Muthén, L. K., & Muthén, B. O. (2012). Mplus user’s guide (7th ed.). Los Angeles, CA: Muthén & Muthé.
37. Ostini, R., & Nering, M. L. (2010). New perspective and applications. In M. L. Nering & R. Osini (Eds.), Handbook of polytomous item response theory models (pp. 3–20). New York: Taylor & Francis.
38. Quandt, S. A., Ip, E. H., Saldana, S., & Arcury, T. A. (2012). Comparing two questionnaires for eliciting CAM use in a multi-ethnic US population of older adults. European Journal of Integrative Medicine, 4, e205–e211.
39. Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen: Denmarks Paedagogiske Institut.
40. Reise, S. P., & Waller, N. G. (2001). Dichotomous IRT models. In F. Drasgow & N. Schmitt (Eds.), Advances in measurement and data analysis (pp. 88–122). Williamsburg, VA: Jossey-Bass.
41. Rejeski, J., Ip, E. H., Katula, J., & White, L. (2006). Older adults’ desire for physical competence. Medicine and Science in Sports and Exercise, 38, 100–105.
42. Rijmen, F., Tuerlinckx, F., De Boeck, P., & Kuppens, P. (2003). A nonlinear mixed modelframework for item response theory. Psychological Methods, 8, 185–205.
43. Rizopoulos, D. (2006). ltm: An R package for latent variable modelling and item response theory analyses. Journal of Statistical Software, 17, 125.
44. Rosenstock, I. (1974). The health belief model and preventive health behavior. Health Education Monograph, 2, 354–386.
45. Rosenstock, I., & Kirscht, J. P. (1979). Why people seek health care. In G. Stone, F. Cohen, & N. Adler (Eds.), Health Psychology (pp. 161–188). San Francisco: Jossey-Bass.
46. Samejima, F. (1969). Estimation of ability using a response pattern of graded scores. Psychometrika Monograph, 34(Suppl), 100–114.
47. Samejima, F. (1972). A general model for free-response data. Psychometrika Monograph 18.
48. Samejima, F. (1996). Graded response model. In W. J. van der Linder & R. K. Hambleton (Eds.), Handbook of item response theory (pp. 85–100). New York: Springer.
49. Sampson, A., & Singh, H. (2002). Min and max scorings for two-sample partially ordered categorical data. Journal of Statistical Planning and Inference, 107, 219–236.
50. Smirnov, N. V. (1944). Approximate distribution laws for random variables, constructed from empirical data. Uspekhi Matematicheskikh Nauk (In Russian), 10, 179–206.
51. Stanley, R. D. (2012). Enumerative combinatorics (2nd ed., Vol. 1). Cambridge, UK: Cambridge University Press.
52. Tatsuoka, C. (2002). Data analytic methods for latent partially ordered classification models. Journal of the Royal Statistical Society Series C, 51, 337–350.
53. Tatsuoka, C., Varadi, F., & Jaeger, J. (2013). Latent partially ordered classification models and normal mixtures. Journal of Educational & Behavioral Statistics, 38, 267–294.
54. Thissen, D., & Steinberg, L. (1984). A response model for multiple choice items. Psychometrika, 49, 501–519.
55. Thissen, D., & Steinberg, L. (1986). A taxonomy of item response models. Psychometrika, 51, 567–577.
56. Thissen, D., Chen, W.-H., & Bock, R. D. (2003). MULTILOG 7 for Windows: Multiple-category item analysis and test scoring using item response theory [Computer software]. Skokie, IL: Scientific Software International Inc.
57. van der Linden, W. J., & Hambleton, R. K. (Eds.). (1997). Handbook of modern item response theory. New York: Springer. doi:10.1007/978-1-4757-2691-6.
58. Wilson, M. (1992). The ordered partition model: An extension of the partial credit model. Applied Psychological Measurement, 16, 309–325.
59. Wu, M. L., Adams, R. J., & Wilson, M. R. (1997). ConQuest: Multi-aspect test software, [computer program]. Camberwell: Australian Council for Educational Research.
60. Zimowski, M. F., Muraki, E., Mislevy, R. J., & Bock, R. D. (2003). BILOG-MG 3 for Windows: Multiple-group IRT analysis and test maintenance for binary items [Computer software]. Skokie, IL: Scientific Software International Inc.
61. Zhang, Q., & Ip, E. (2012). Generalized linear model for partially ordered data. Statistics in Medicine, 31, 56–68.