Conjoint Additivity References

For fundamental measurement:

Campbell N.R. (1920) Physics: the elements. Cambridge: Cambridge University Press

For invariance:

Thurstone, L.L. (1925). A method of scaling psychological and educational tests. Journal of Educational Psychology, 16, 433-451.

Thurstone, L.L. (1926). The scoring of individual performance. J. of Educ. Psych., 17, 446-457.

Thurstone, L.L. (1927). The unit of measurement in educational scales. J. of Educ. Psych., 18, 505-24

Thurstone, L.L. (1928). Attitudes can be measured. American Journal of Sociology, 23, 529-554.

Thurstone, L.L. (1928). Scale construction with weighted observations. J. of Educ. Psych., 19, 7, 441-453.

Thurstone, L.L. & Chave, E.J. (1929). The measurement of attitude. Chicago: University of Chicago Press.

Thurstone, L.L. (1931). Measurement of social attitudes. Journal of Abnormal and Social Psychology, (26), 249-269.

For conjoint additivity:

Luce, R.D. & Tukey, J.W. (1964). Simultaneous conjoint measurement. Journal of Mathematical Psychology,(1),1-27.

Perline, R., Wright, B.D. & Wainer, H. (1979) The Rasch model as additive conjoint measurement. Applied Psychological Measurement, 1979, 3, 237-256.

Benjamin D. Wright

Non-technical introductions:

Michell, Joel. (1990) An introduction to the logic of psychological measurement. Hillsdale, NJ: Lawrence Erlbaum Assoc.

Cliff, N. (1993) What is and isn't measurement. in G. Keren & C. Lewis (Eds.), A Handbook for Data Analysis in the Behavioral Sciences: Methodological Issues. Hillsdale, NJ: Erlbaum

Randy MacIntosh

Conjoint Additivity References MacIntosh, R. … Rasch Measurement Transactions, 1999, 13:3 p. 712




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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: 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
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