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5 - Statistical Power, AIC Statistics, and Equivalent Models

Published online by Cambridge University Press:  18 July 2026

Bill Shipley
Affiliation:
Université de Sherbrooke, Canada
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Summary

Failing to reject a causal model does not exclude all other possible hypothesized causal models. One reason is insufficient statistical power. AIC statistics can be used to rank competing non-rejected hypothesized causal models. Equivalent models are alternative causal graphs that make the same d-separation claims and therefore cannot be distinguished even with perfect statistical power. There are simple rules for obtaining all equivalent models that make the same d-separation claims, and often partial independent knowledge of the causal direction of some direct cause–effect claims can exclude many of the alternative models.

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