Modular Open-Source Software for Item Factor Analysis

Educational and Psychological Measurement

Volumn 75, Issue 3, 2015, Pages 458-474

  Pritikin, Joshua N ^a   Hunter, Micheal D ^b   Boker, Steven M ^a  

^a UNIVERSITY OF VIRGINIA   (United States)

^b UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

item factor analysis; item response theory; modular; open source

Indexed keywords

EID: 84930518504     PISSN: 00131644     EISSN: 15523888     Source Type: Journal    
DOI: 10.1177/0013164414554615     Document Type: Article

References (54)

1. Aberdour M.Achieving quality in open-source software.Software, IEEE. 2007;24 (1): 58-64
2. Adams R. J.,Wilson M.,Wang W.-C.The multidimensional random coefficients multinomial logit model.Applied Psychological Measurement. 1997;21 (1): 1-23
3. Bartholomew D. J.,Tzamourani P.The goodness of fit of latent trait models in attitude measurement.Sociological Methods & Research. 1999;27:525-546
4. Bock R. D.,Aitkin M.Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm.Psychometrika. 1981;46:443-459
5. Bock R. D.,Gibbons R.,Muraki E.Full-information item factor analysis.Applied Psychological Measurement. 1988;12:261-280
6. Bock R. D.,Mislevy R. J.Adaptive EAP estimation of ability in a microcomputer environment.Applied Psychological Measurement. 1982;6:431-444
7. Boker S. M.,Neale M. C.,Maes H.,Wilde M.,Spiegel M.,Brick T.,.. Fox J.OpenMx: An open source extended structural equation modeling framework.Psychometrika. 2011;76:306-317
8. Cai L.A two-tier full-information item factor analysis model with applications.Psychometrika. 2010a;75:581-612
9. Cai L.High-dimensional exploratory item factor analysis by a Metropolis-Hastings Robbins-Monro algorithm.Psychometrika. 2010b;75:33-57
10. Cai L.flexMIRT: A numerical engine for multilevel item factor analysis and test scoring. Seattle, WA: Vector Psychometric Group; 2012:
11. Cai L.Flexible multidimensional item analysis, test scoring, and model fit evaluation.Paper presented at the annual conference of the Society of Multivariate Experimental Psychology; 2013St. Petersburg, Florida; 2013.
12. Cai L.,Hansen M.Limited-information goodness-of-fit testing of hierarchical item factor models.British Journal of Mathematical and Statistical Psychology. 2013;66:245-276
13. Cai L.,Thissen D.,du Toit S.IRTPRO. Lincolnwood, IL: Scientific Software International; 2011:
14. Cai L.,Yang J. S.,Hansen M.Generalized full-information item bifactor analysis.Psychological Methods. 2011;16:221-248
15. ChalmersR. P. (2012). mirt: A multidimensional item response theory package for the R environment. Journal of Statistical Software, 48(6), 1-29. Retrieved from http://www.jstatsoft.org/v48/i06/
16. Chen W.-H.,Thissen D.Local dependence indexes for item pairs using item response theory.Journal of Educational and Behavioral Statistics. 1997;22:265-289
17. CheungM. W.-L. (2014). metaSEM: Meta-analysis using structural equation modeling (R Package Version 0.9-0). Retrieved from http://courses.nus.edu.sg/course/psycwlm/Internet/metaSEM/
18. Dempster A. P.,Laird N. M.,Rubin D. B.Maximum likelihood from incomplete data via the EM algorithm.Journal of the Royal Statistical Society: Series B (Methodological). 1977;39:1-38
19. Gill P. E.,Murray W.,Saunders M. A.,Wright M. H.User’s guide for NPSOL (version 4.0): A fortran package for nonlinear programming. Belvoir, VA: DTIC Document; 1986:
20. Hunter M. D.Extended structural equations and state space models when data are missing at random.Paper presented at the Annual Meeting of the Association for Psychological Science; 2014San Francisco, CA; 2014.
21. Jamshidian M.,Jennrich R. I.Standard errors for EM estimation.Journal of the Royal Statistical Society: Series B (Statistical Methodology). 2000;62:257-270
22. Jöreskog K. G.,Van Thillo M.LISREL: A general computer program for estimating a linear structural equation system involving multiple indicators of unmeasured variables (RB-72-56) [Computer software]. Princeton, NJ: Educational Testing Service; 1972:
23. Kamata A.,Bauer D. J.A note on the relation between factor analytic and item response theory models.Structural Equation Modeling. 2008;15:136-153
24. Kang T.,Chen T. T.Performance of the generalized S-X2 item fit index for polytomous IRT models.Journal of Educational Measurement. 2008;45:391-406
25. Kelly G.,Mobbs S.,Pritikin J. N.,Mayston M.,Mather M.,Rosenbaum P.,.. Forsyth R.Gross Motor Function Measure-66 trajectories in children recovering after severe acquired brain injury.Developmental Medicine & Child Neurology. 2015;57 (3): 241-247
26. LevonJ. (2014). OProfile [Computer software]. Retrieved from http://oprofile.sourceforge.net/
27. Loken E.,Rulison K. L.Estimation of a four-parameter item response theory model.British Journal of Mathematical and Statistical Psychology. 2010;63:509-525
28. Louis T. A.Finding the observed information matrix when using the EM algorithm.Journal of the Royal Statistical Society: Series B (Methodological). 1982;44:226-233
29. Masters G. N.A Rasch model for partial credit scoring.Psychometrika. 1982;47:149-174
30. McArdle J. J.,McDonald R. P.Some algebraic properties of the reticular action model for moment structures.British Journal of Mathematical and Statistical Psychology. 1984;37:234-251
31. Meng X.-L.,Rubin D. B.Using EM to obtain asymptotic variance-covariance matrices: The SEM algorithm.Journal of the American Statistical Association. 1991;86:899-909
32. Muraki E.A generalized partial credit model: Application of an EM algorithm.Applied Psychological Measurement. 1992;16:159-176
33. Nakakoji K.,Yamamoto Y.,Nishinaka Y.,Kishida K.,Ye Y.Evolution patterns of open-source software systems and communities.Proceedings of the international workshop on principles of software evolution; 2002Orlando, FL; 2002. 76.
34. Oakes D.Direct calculation of the information matrix via the EM algorithm.Journal of the Royal Statistical Society: Series B (Statistical Methodology). 1999;61:479-482
35. Orlando M.,Thissen D.Likelihood-based item-fit indices for dichotomous item response theory models.Applied Psychological Measurement. 2000;24:50-64
36. PritikinJ. N. (2014). Item factor analysis: A primer and new open-source implementation (Master’s thesis). University of Virginia, Charlottesville.
37. PritikinJ. N.ChalmersR. P.WeeksJ.CaiL.HoutsC. (2014). Response Probability Functions (Version 0.36) [Computer software]. Retrieved from http://cran.r-project.org/web/packages/rpf/index.html
38. R Core Team. (2014). R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. Retrieved from http://www.R-project.org
39. Samejima F.Estimation of latent ability using a response pattern of graded scores.Psychometrika Monograph Supplement. 1969;34 (4): 100-114
40. Takane Y.,De Leeuw J.On the relationship between item response theory and factor analysis of discretized variables.Psychometrika. 1987;52:393-408
41. Thissen D.,Cai L.,Bock R. D.Handbook of polytomous item response theory models. Nering M. L.Ostini R., ed. New York, NY: Routledge; 2010:43-75.
42. Thissen D.,Pommerich M.,Billeaud K.,Williams V. S.Item response theory for scores on tests including polytomous items with ordered responses.Applied Psychological Measurement. 1995;19 (1): 39-49
43. Thissen D.,Steinberg L.,Mooney J. A.Trace lines for testlets: A use of multiple-categorical-response models.Journal of Educational Measurement. 1989;26:247-260
44. Tian W.,Cai L.,Thissen D.,Xin T.Numerical differentiation methods for computing error covariance matrices in item response theory modeling: An evaluation and a new proposal.Educational and Psychological Measurement. 2013;73:412-439
45. Valgrind Developers. (2014). Valgrind [Computer software]. Retrieved from http://valgrind.org/
46. Watson D.,Clark L. A.,Tellegen A.Development and validation of brief measures of positive and negative affect: The PANAS scales.Journal of Personality and Social Psychology. 1988;54:1063-1070
47. White H.Estimation, inference and specification analysis. New York, NY: Cambridge University Press; 1994:
48. Woods C. M.Ramsay-curve item response theory (RC-IRT) to detect and correct for nonnormal latent variables.Psychological Methods. 2006;11:253-270
49. Woods C. M.Empirical histograms in item response theory with ordinal data.Educational and Psychological Measurement. 2007;67:73-87
50. Wright B. D.,Masters G. N.Rating scale analysis. Chicago, IL: MESA Press; 1982:
51. Wu E. J. C.,Bentler P. M.EQSIRT—A comprehensive item response theory program. Encino, CA: Multivariate Software; 2012:
52. Wu M. L.,Adams R. J.,Wilson M. R.,Haldane S. A.ACER ConQuest: Generalised item response modelling software. Victoria, Australia: ACER Press; 2007:
53. Yuan K.-H.,Cheng Y.,Patton J.Information matrices and standard errors for MLEs of item parameters in IRT.Psychometrika. 2013;79:232-254
54. Zahery M.,Gillespie N.,Neale M. C..Presented at the poster session of the 26th Annual Convention of Association for Psychological Science; 2014San Francisco, CA; 2014.