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Regression analysis of log‐transformed data: Statistical bias and its correction
Author(s) -
Newman Michael C.
Publication year - 1993
Publication title -
environmental toxicology and chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.1
H-Index - 171
eISSN - 1552-8618
pISSN - 0730-7268
DOI - 10.1002/etc.5620120618
Subject(s) - statistics , linear regression , regression , regression analysis , mathematics , econometrics
Power and exponential models are used frequently in environmental chemistry and toxicology. Such models can generate biased predictions if derived with least‐squares, linear regression of log‐transformed variables. An easily calculated but seldom used estimate of bias can enhance the accuracy of subsequent predictions. This prediction bias and means of correcting it are presented, along with several examples.