Performing Bias/Interaction analysis
When bias analysis has been requested in one or more Model= statements, then a secondary analysis is performed for each model with bias interactions ("B") specified.
Bias/Interaction analysis specified by Model: ?B,?B,?,CREATIVITY
There are as many bias analyses as there are Model= statements with "B"s
There are empirically 21 Bias terms
There is one term for each element combination from the two facets.
Table 9.1 Bias Iteration Report
2 more Bias iterations
Column headings have the following meanings:
Model:= Specification of bias model, reported over the number and label of each element interacting to estimate a bias term.
No.= Sequence number of bias term.
Raw= Observed integer score for this interaction of elements.
Expected= Score expected based on current bias estimate.
Residual= Difference between observed Score and Expected score
Value= Revised estimate of bias in log-odds units (logits).
Change= Change in logit bias estimate from logit estimate of the previous iteration.
Estimate mean =mean value of the bias estimates for this model, usually near 0.0.
S.D.=sample standard deviation of the estimates, which is not constrained to any value.
Count =number of reportable bias estimates
max.=Is the maximum change or residual for any element.
Iteration=The number of times BIAS has been applied to the data.
BIAS=A Newton-Raphson, residual-score to logit, estimation routine
Fit statistics are computed for the bias terms, and then results are reported:
Calculating Bias fit statistics
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|Rasch Measurement Transactions (free, online)||Rasch Measurement research papers (free, online)||Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch||Applying the Rasch Model 3rd. Ed., Bond & Fox||Best Test Design, Wright & Stone|
|Rating Scale Analysis, Wright & Masters||Introduction to Rasch Measurement, E. Smith & R. Smith||Introduction to Many-Facet Rasch Measurement, Thomas Eckes||Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments, George Engelhard, Jr. & Stefanie Wind||Statistical Analyses for Language Testers, Rita Green|
|Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar||Journal of Applied Measurement||Rasch models for measurement, David Andrich||Constructing Measures, Mark Wilson||Rasch Analysis in the Human Sciences, Boone, Stave, Yale|
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