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Playing the y-model

Playing the y-model. XU Kun 24 Nov 2011. Outline . Revisit the performance of tailored analysis procedure ( Andrich , Marais & Humphry , 2011) Impact of guessing on person estimates Fit Statistics before and after controlling for guessing. Data Generation.

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Playing the y-model

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  1. Playing the y-model XU Kun 24 Nov 2011

  2. Outline • Revisit the performance of tailored analysis procedure (Andrich, Marais & Humphry, 2011) • Impact of guessing on person estimates • Fit Statistics before and after controlling for guessing

  3. Data Generation • 500 students theta ~ N(-0.75, 1.22) • 35 items b ~ U(-3.0, 3.0) • c fixed to 1/7 • y fixed to 15 • 100 replications

  4. Analysis • First analysis by Winsteps • Export the item difficulty and student ability estimates • Calculate the probability of each student on each item • Prepare the data set for Tailored analysis • Tailored analysis by Winsteps

  5. Bias of Item Difficulty

  6. RMSE of Item Difficulty

  7. Bias of Student Ability

  8. RMSE of Student Ability

  9. Outfit Standardized t of Item

  10. Outfit Standardized t of Student

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