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A Tetrad Test for Causal Indicators

Citation

Bollen, Kenneth A. & Ting, Kwok-Fai (2000). A Tetrad Test for Causal Indicators. Psychological Methods, 5(1), 3-22.

Abstract

The authors propose a confirmatory tetrad analysis test to distinguish causal from effect indicators in structural equation models. The test uses "nested" vanishing tetrads that are often implied when comparing causal and effect indicator models. The authors present typical models that researchers can use to determine the vanishing tetrads for 4 or more variables. They also provide the vanishing tetrads for mixtures of causal and effect indicators, for models with fewer than 4 indicators per latent variable, or for cases with correlated errors. The authors illustrate the test results for several simulation and empirical examples and emphasize that their technique is a theory-testing rather than a model-generating approach. They also review limitations of the procedure including the indistinguishable tetrad equivalent models, the largely unknown finite sample behavior of the test statistic, and the inability of any procedure to fully validate a model specification.

URL

http://dx.doi.org/10.1037/1082-989x.5.1.3

Reference Type

Journal Article

Journal Title

Psychological Methods

Author(s)

Bollen, Kenneth A.
Ting, Kwok-Fai

Year Published

2000

Volume Number

5

Issue Number

1

Pages

3-22

Reference ID

1606