COMPARING FACTOR ANALYSIS AND RASCH MEASUREMENT
ASPECT FACTOR ANALYSIS RASCH MEASUREMENT
Motive summarize data construct measurement
Input Model "linearities" stochastic events
Missing Data loses rows or columns, biases factors routinely accommodated, no data lost
Co-mensuration norm-standardized into "linearities"
criterion-classified into ordered categories
xni = 0,1,2,3,,,K
Method principal components (or common factor) latent trait
Model
Estimated by Minimizing
Anchored at
Error Model
Item Estimate vi regression of factor score un on item i Di linear calibration of item i on variable
Item Estimate Error
Person Estimate un score predicted for person n on factor Bn linear measure of person n on variable
Person Estimate Error
Residual Statistics
Misfits
To Seek Next Variable subtract unvi from all zni for next data

maximizes residual noise
select only xni of misfitting items
minimizes residual noise

Benjamin D. Wright

For more information,
The Impact of Rasch Item Difficulty on Confirmatory Factor Analysis , S.V. Aryadoust … Rasch Measurement Transactions, 2009, 23:2 p. 1207
Confirmatory factor analysis vs. Rasch approaches: Differences and Measurement Implications, M.T. Ewing, T. Salzberger, R.R. Sinkovics … Rasch Measurement Transactions, 2009, 23:1 p. 1194-5
Conventional factor analysis vs. Rasch residual factor analysis, Wright, B.D. … 2000, 14:2 p. 753.
Rasch Analysis First or Factor Analysis First? Linacre J.M. … 1998, 11:4 p. 603.
Factor analysis and Rasch analysis, Schumacker RE, Linacre JM. … 1996, 9:4 p.470
Too many factors in Factor Analysis? Bond TG. … 1994, 8:1 p.347
Comparing factor analysis and Rasch measurement, Wright BD. … 1994, 8:1 p.350
Factor analysis vs. Rasch analysis of items, Wright BD. … 5:1 p.134


Comparing factor analysis and Rasch measurement Wright BD. … Rasch Measurement Transactions, 1994, 8:1 p.350

Please help with Standard Dataset 4: Andrich Rating Scale Model



Rasch Publications
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: Using Rasch Models in the Social, Behavioral, and Health Sciences, George Engelhard, Jr. 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
in Spanish: Análisis de Rasch para todos, Agustín Tristán Mediciones, Posicionamientos y Diagnósticos Competitivos, Juan Ramón Oreja Rodríguez

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