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Item Analysis Using The Rasch Model

Item Analysis Using The Rasch Model. Terms and Meaning. The standard error (SE) is the standard deviation of the sampling distribution of a statistic. The standard error of a measure captures its precision in a particular context. The accuracy of a measure is captured by fit statistics. .

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Item Analysis Using The Rasch Model

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  1. Item Analysis Using TheRasch Model

  2. Terms and Meaning • The standard error (SE) is the standard deviation of the sampling distribution of a statistic. • The standard error of a measure captures its precision in a particular context. • The accuracy of a measure is captured by fit statistics.

  3. Terms and Meaning • Fit statistics describes how well the data fits a set of observations/model. • OUTFIT is dominated by unexpected outlying, off-target, low information responses and so is outlier-sensitive. • INFIT is dominated by unexpected inlying patterns among informative, on-target observations and so is inlier-sensitive.

  4. Terms and Meaning • Fit values noticeably above 1.0 indicate excessive un-modelled noise. • Fit values noticeably below 1.0 indicate a local deficit in the stochastic (non-deterministic) variation necessary for useful measurement.

  5. Terms and Meaning • An outlier is a data value which lies in the tail of the statistical distribution of a set of data values. • An inlier is a data value that lies in the interior of a statistical distribution and is in error.

  6. Theoretical Curve (indicates the ideal for the distribution of the students with reference to their difficulty) Person Ability /Item Difficulty Continuum With 0 indicating average value Below 0 (-1 to – 5 or ∞) as below average value Above 0 (+1 to +5 or ∞) as above average value

  7. The line along the 0.5 Expected Value means that there will be a 50% probability of an average ability examinee to correctly respond to an item that is of average difficulty.

  8. Correct Answer Marked by the Asterisk (*) Options/Choices Percentage of Students Per Ability Group Who choose the option/choice Ability Groups of the students divided into: L1 - Lower Group 1 (Lowest Ability Group) L2 - Lower Group 2 M - Middle Group (Middle Ability Group) U1 - Upper Group 1 U2 - Upper Group 2 (Highest Ability Group)

  9. Students’ Group Distribution Per Options Color-coded to indicate the letter of the choices: A – Blue B – Yellow C – Green D – Red

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