Table 12 Bias Summary Report

Zscore=, Bias= and Xtreme= control Table 12. One table is produced for each bias estimation. Each entry in the table is a bar-chart showing the distribution of reported statistics. The scale is from left to right. "M" represents the mean value of the statistic for the facet, "S" is one sample standard deviation each side of the mean, "Q" is two sample standard deviations, and "X" is three.

 

Table 12 reports the same statistics reported numerically in the later Table 13. So, -4, -3 etc are the numerical values of those statistics (compare with the numerical Table 13). M is the mean, S is one standard deviation away, Q is two standard deviations away.

Bias/Interaction Size = Bias Size (usually in logits) in Table 13

Bias/Interaction Significance = t-value in Table 13

 

Example:

 

Bias/Interaction Size:

                               1

                12213457677888808866553422222

 2  21 1122472485329801372717797531096665273067453 2221111 1   1

+---------+----Q----+-S-------M------S--+----Q----+---------+---------+

-3        -2        -1         0         1         2         3      4

 

Bias/Interaction Significance:

                            11111

                  1213358889100108775433222

    11 1 1 11276444773675833557684234395094893331222111  1     1

+-----+-----+----Q+-----S-----M-----S-----+Q----+-----+-----+-----+

-5    -4    -3    -2    -1     0     1     2     3     4     5     6

 

The numbers are frequencies. They are printed vertically. The biggest number for "Bias/Interaction size" is 107. 107 interactions are about 0.1 logits in size. 115 interactions have a bias/interaction significance (t) of about -0.3

 

The frequencies summarize the full Table of interactions (Table 14) and are useful for seeing the distributional pattern.

 

In these pictures there are clearly a few outliers needing special attention, but the great majority of interactions are statistically and substantively close to 0.


Help for Facets (64-bit) Rasch Measurement and Rasch Analysis Software: www.winsteps.com Author: John Michael Linacre.
 

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Rasch Books and Publications
Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, 2nd Edn, 2024 George Engelhard, Jr. & Jue Wang Applying the Rasch Model (Winsteps, Facets) 4th Ed., Bond, Yan, Heene Advances in Rasch Analyses in the Human Sciences (Winsteps, Facets) 1st Ed., Boone, Staver Advances in Applications of Rasch Measurement in Science Education, X. Liu & W. J. Boone Rasch Analysis in the Human Sciences (Winsteps) Boone, Staver, Yale
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Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch Rasch Models for Measurement, David Andrich Constructing Measures, Mark Wilson Best Test Design - free, Wright & Stone
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Virtual Standard Setting: Setting Cut Scores, Charalambos Kollias Diseño de Mejores Pruebas - free, Spanish Best Test Design A Course in Rasch Measurement Theory, Andrich, Marais Rasch Models in Health, Christensen, Kreiner, Mesba Multivariate and Mixture Distribution Rasch Models, von Davier, Carstensen
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