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

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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