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IRT-Based Measurement of Short-Term Changes of Ability, With an Application to Assessing the “Mozart Effectâ€

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  • Georg Gittler
  • Gerhard Fischer

Abstract

The article extends and applies previous approaches by Klauer and Fischer to the statistical evaluation of ability changes in tests conforming to the Rasch model (RM). Exact uniformly most powerful unbiased (UMPU) hypothesis tests and uniformly most accurate (UMA) confidence intervals (CIs) for the amount of change can be constructed for each testee separately. Under the H 0 of no change, the individual p values of testees can be aggregated also within groups. The current results extend this method by an estimator for a group effect, an exact UMPU test of its significance, a corresponding UMA CI, and a likelihood ratio test for group comparisons. All these methods are applied to two sets of data concerning a highly controversial issue in literature: the so-called Mozart Effect (ME). As test material, a unidimensional test of spatial ability by Gittler and Arendasy was presented to two samples of testees (Studies I and II). On the basis of these data, the occurrence of a short-term effect of the experimental condition can be demonstrated which, however, seems to be related to the relaxation between pretest and posttest rather than to the musical priming.

Suggested Citation

  • Georg Gittler & Gerhard Fischer, 2011. "IRT-Based Measurement of Short-Term Changes of Ability, With an Application to Assessing the “Mozart Effectâ€," Journal of Educational and Behavioral Statistics, , vol. 36(1), pages 33-75, February.
    • Handle: RePEc:sae:jedbes:v:36:y:2011:i:1:p:33-75
    DOI: 10.3102/1076998610366260
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    References listed on IDEAS

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    1. Geoff Masters, 1982. "A rasch model for partial credit scoring," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 149-174, June.
    2. Johansson, Barbro B., 2006. "Music and brain plasticity," European Review, Cambridge University Press, vol. 14(1), pages 49-64, February.
    3. Michelle Liou & Chih-Hsin Chang, 1992. "Constructing the exact significance level for a person fit statistic," Psychometrika, Springer;The Psychometric Society, vol. 57(2), pages 169-181, June.
    4. Gerhard Fischer, 1987. "Applying the principles of specific objectivity and of generalizability to the measurement of change," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 565-587, December.
    5. Gerhard Fischer, 1995. "Some neglected problems in IRT," Psychometrika, Springer;The Psychometric Society, vol. 60(4), pages 459-487, December.
    6. Thomas Warm, 1989. "Weighted likelihood estimation of ability in item response theory," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 427-450, September.
    7. Theo Eggen, 2000. "On the loss of information in conditional maximum likelihood estimation of item parameters," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 337-362, September.
    8. Ivo Ponocny, 2001. "Nonparametric goodness-of-fit tests for the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 66(3), pages 437-459, September.
    9. Karl Klauer, 1991. "An exact and optimal standardized person test for assessing consistency with the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 213-228, June.
    10. Frederic Lord, 1983. "Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability," Psychometrika, Springer;The Psychometric Society, vol. 48(2), pages 233-245, June.
    11. Erling Andersen, 1973. "A goodness of fit test for the rasch model," Psychometrika, Springer;The Psychometric Society, vol. 38(1), pages 123-140, March.
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    Cited by:

    1. Krammer, Georg, 2019. "The Andersen likelihood ratio test with a random split criterion lacks power," OSF Preprints gu8sq, Center for Open Science.

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