Scale dependence of the true score MTMM model

Germà Coenders; J. Batista-Foguet; Albert Satorra Brucart

Scale dependence of the true score MTMM model

Germà Coenders
, J. Batista-Foguet
, Albert Satorra Brucart

Research output: Book chapter › Chapter › peer-review

Abstract

This chapter starts by reviewing the consequences of scale dependence of
Structural Equation Models. Next it shows the scale dependence of the True Score MTMM model presented in Chapter 1 and its practical consequences. Finally, it suggests alternative sets of non-linear constraints for the True Score MTMM model which make the model to be scale invariant without loss of parsimony. The scale dependent behaviour of the standard specification and the scale invariant behaviour of the alternative specifications are illustrated on a real data set.

Original language	English
Title of host publication	The multitrait–multimethod approach to evaluate measurement instruments
Editors	Willem E. Saris, Ákos Münnich
Place of Publication	Budapest
Publisher	Eötvös University press
Chapter	4
Pages	71-87
Number of pages	17
Edition	1
ISBN (Print)	963-463-001-4
Publication status	Published - 1995

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Coenders, G., Batista-Foguet, J., & Satorra Brucart, A. (1995). Scale dependence of the true score MTMM model. In W. E. Saris, & Á. Münnich (Eds.), The multitrait–multimethod approach to evaluate measurement instruments (1 ed., pp. 71-87). Eötvös University press. https://d1wqtxts1xzle7.cloudfront.net/77883759/pap0-libre.pdf?1641125138=&response-content-disposition=inline%3B+filename%3DScale_dependence_of_the_true_score_MTMM.pdf&Expires=1761647146&Signature=Sa~3H~tYFOisS5Ilhm~wTfcHYmgvp26eXk-kgmmwghL60lqHy~WEWO9XHFvovQ8JFyhiBT74hH-55KIY5ZEZsl-HjPgUW0jVEhJzpVBdIU~oPiFkKudKxKaxqBD0AwDWWNKFCtIcyCfXCbee9ZKP1ysDVUzC37OEz0QJQv5A3Sfm8MHkj7S8Zi~9v8YtuzEZIjar5LQaAMyjLHrV0kDWUt9RFuZ1cyWpLXNfaUXhTqTjpPjJbUEBlo1y-MGG1iOkY1sppOvqFj-I8RubLUuVpQl8YdzSjYZw54NgMFyrmzddcMSt6suq2TkJM6Pw5jmXOzE7WXbX3Znq7EoFjxmLEg__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA

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title = "Scale dependence of the true score MTMM model",

abstract = "This chapter starts by reviewing the consequences of scale dependence of Structural Equation Models. Next it shows the scale dependence of the True Score MTMM model presented in Chapter 1 and its practical consequences. Finally, it suggests alternative sets of non-linear constraints for the True Score MTMM model which make the model to be scale invariant without loss of parsimony. The scale dependent behaviour of the standard specification and the scale invariant behaviour of the alternative specifications are illustrated on a real data set.",

author = "Germ{\`a} Coenders and J. Batista-Foguet and \{Satorra Brucart\}, Albert",

year = "1995",

language = "English",

isbn = "963-463-001-4",

pages = "71--87",

editor = "Saris, \{Willem E.\} and {\'A}kos M{\"u}nnich",

booktitle = "The multitrait–multimethod approach to evaluate measurement instruments",

publisher = "E{\"o}tv{\"o}s University press",

address = "Hungary",

edition = "1",

}

Coenders, G, Batista-Foguet, J & Satorra Brucart, A 1995, Scale dependence of the true score MTMM model. in WE Saris & Á Münnich (eds), The multitrait–multimethod approach to evaluate measurement instruments. 1 edn, Eötvös University press, Budapest, pp. 71-87. <https://d1wqtxts1xzle7.cloudfront.net/77883759/pap0-libre.pdf?1641125138=&response-content-disposition=inline%3B+filename%3DScale_dependence_of_the_true_score_MTMM.pdf&Expires=1761647146&Signature=Sa~3H~tYFOisS5Ilhm~wTfcHYmgvp26eXk-kgmmwghL60lqHy~WEWO9XHFvovQ8JFyhiBT74hH-55KIY5ZEZsl-HjPgUW0jVEhJzpVBdIU~oPiFkKudKxKaxqBD0AwDWWNKFCtIcyCfXCbee9ZKP1ysDVUzC37OEz0QJQv5A3Sfm8MHkj7S8Zi~9v8YtuzEZIjar5LQaAMyjLHrV0kDWUt9RFuZ1cyWpLXNfaUXhTqTjpPjJbUEBlo1y-MGG1iOkY1sppOvqFj-I8RubLUuVpQl8YdzSjYZw54NgMFyrmzddcMSt6suq2TkJM6Pw5jmXOzE7WXbX3Znq7EoFjxmLEg__&Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA>

TY - CHAP

T1 - Scale dependence of the true score MTMM model

AU - Coenders, Germà

AU - Batista-Foguet, J.

AU - Satorra Brucart, Albert

PY - 1995

Y1 - 1995

N2 - This chapter starts by reviewing the consequences of scale dependence of Structural Equation Models. Next it shows the scale dependence of the True Score MTMM model presented in Chapter 1 and its practical consequences. Finally, it suggests alternative sets of non-linear constraints for the True Score MTMM model which make the model to be scale invariant without loss of parsimony. The scale dependent behaviour of the standard specification and the scale invariant behaviour of the alternative specifications are illustrated on a real data set.

AB - This chapter starts by reviewing the consequences of scale dependence of Structural Equation Models. Next it shows the scale dependence of the True Score MTMM model presented in Chapter 1 and its practical consequences. Finally, it suggests alternative sets of non-linear constraints for the True Score MTMM model which make the model to be scale invariant without loss of parsimony. The scale dependent behaviour of the standard specification and the scale invariant behaviour of the alternative specifications are illustrated on a real data set.

M3 - Chapter

SN - 963-463-001-4

SP - 71

EP - 87

BT - The multitrait–multimethod approach to evaluate measurement instruments

A2 - Saris, Willem E.

A2 - Münnich, Ákos

PB - Eötvös University press

CY - Budapest

ER -

Scale dependence of the true score MTMM model

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