The effect of sample size on item parameter estimation for the partial credit model

  1. Andrich, D. (1978) A rating formulation for ordered response categories. Psychometrika 43, 561-573.
  2. Bock, R. (1972) Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika 37, 29-51.
  3. Chuah, S., Drasgow, F. and Luecht, R. (2006) How big is big enough: Sample size requirements for CAST item parameter estimation. Applied Measurement in Education 19, 241-255.
  4. De Ayala, R. and Sava-Bolesta, M. (1999) Item parameter recovery for the Nominal Response Model. Applied Psychological Measurement 23, 3-19.
  5. DeMars, C. (2003) Sample size and the recovery of Nominal Response Model item parameters. Applied Psychological Measurement 27, 275-288.
  6. He, Q. and Wheadon, C. (2008) Using the Rasch model to analyse dichotomous and polytomous items. AQA Internal Report.
  7. Hambleton, R., Jones, R and Rogers, H. (1993) Influence of item parameter estimation errors in test development. Journal of Educational Measurement 30, 143-155.
  8. Linacre, J. M. (2006) WINSTEPS Rasch measurement computer program. Chicago:
  9. Masters, G. (1982) A Rasch model for partial credit scoring. Psychometrika 47, 149-174.
  10. Masters, G. (1984). Constructing an item bank using partial scoring. Journal of Educational Measurement, 21, 19-31.
  11. Masters, G. (1999). Partial credit model. In Advances in measurement in educational research and assessment (Ed. by G. Masters and J. Keeves), 98-109. The Netherlands: Elsevier Science.
  12. Masters, G. and Evans, J. (1986) Banking non-dichotomously scored items. Applied Psychological Measurement 10, 355-367.
  13. Rasch, G. (1960) Rasch G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Denmark Paedagogiske Institute, Copenhagen, Denmark.
  14. Smith, A., Rush, R., Fallowfield, L., Velikova, G. and Sharpe, M. (2008) Rasch fit statistics and sample size considerations for polytomous data. BMC Medical Research Methodology 8:33.
  15. Stone, M. (2002) Knox’s cube test – revised (KCT-R). Wood Dale, IL: Stoelting.
  16. Stone, M. and Yumoto, F. (2004) The effect of sample size for estimating Rasch/IRT paramters with dichotomous items. Journal of Applied Measurement 5, 48-61.
  17. Swaminathan, H., Hambleton, R., Sireci, S., Xing, D. and Rizavi, S. (2003) Small sample estimation in dichotomous item response models: effect of prios based on judgemental information on the accuracy of item parameter estimates. Applied Psychological Measurement 27, 27-51.
  18. Wang, W. and Chen, C. (2005) Item parameter recovery, standard error estimates, and fit statistics of the Winsteps program for the family of Rasch models. Educational and Psychological Measurement 65, 376-404.
  19. Wheadon, C. and Whitehouse, C. (2006) GCSE Science multiple-choice tests new specification (4460) First award: November 2006 Technical report. AQA report.
  20. Wright, B.D. (1995) Which standard error? Rasch Measurement Transactions 9, p 436.
  21. Wright, B.D. and Master, G (1982) Rating scale analysis. Rasch Measurement. Chicago, IL: MESA Press.
  22. Wright, B.D. and Stone, M.H. (1979) Best Test Design. Rasch Measurement. Chicago, IL: MESA Press