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Significance Test for a Partial Correlation Corrected for Attenuation
Frederic M. Lord
Educational Testing Service
Correction for attenuation is important for partial correlations because not even the sign of the partial between true scores can be inferred safely from the partial between observed (fallible) scores. Methods for inferring the corrected partial are discussed. Unfortunately, the corrected partial will sometimes have an overwhelming sampling error. A significance test is developed that largely circumvents this problem in those cases where it is enough to infer just the sign of the partial between true scores.
Educational and Psychological Measurement, Vol. 34, No. 2,
211-220 (1974)
DOI: 10.1177/001316447403400201

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