2012
DOI: 10.1016/j.ijforecast.2012.02.001
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Illusions in regression analysis

Abstract: Soyer and Hogarth's article, "The Illusion of Predictability," shows that diagnostic statistics that are commonly provided with regression analysis lead to confusion, reduced accuracy, and overconfidence. Even highly competent researchers are subject to these problems. This overview examines the Soyer-Hogarth findings in light of prior research on illusions associated with regression analysis. It also summarizes solutions that have been proposed over the past century. These solutions would enhance the value of… Show more

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Cited by 275 publications
(129 citation statements)
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References 33 publications
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“…Armstrong (2012) pointed out that achieving high fit validity with a regression model is easy since such models use all available information in the data to build the model to test the model; he demonstrated the point by estimating a regression model using data from a table of random numbers that achieves high statistical significance.…”
Section: Testing For Predictive Validity With Additional (Holdout) Samentioning
confidence: 99%
“…Armstrong (2012) pointed out that achieving high fit validity with a regression model is easy since such models use all available information in the data to build the model to test the model; he demonstrated the point by estimating a regression model using data from a table of random numbers that achieves high statistical significance.…”
Section: Testing For Predictive Validity With Additional (Holdout) Samentioning
confidence: 99%
“…High fit validities for models built using isomorphic or regression analysis tools are easy to achieve, and inadequate. Armstrong (2012) and Gigerenzer and Brighton (2009) provide convincing evidence that fit-validityonly tests are inadequate and frequently indicate inaccurate predictions of the behaviors/ decisions of cases in hold-out samples. Howard and Morgenroth (1968) provide asymmetric decision recipes for high price and low price decisions.…”
Section: Journal Of Global Scholars Of Marketing Science 261mentioning
confidence: 97%
“…The illusions of regression analysis because of over-fitting of models are points emphasized by Armstrong (1985Armstrong ( , 2012) that most researchers continue to ignore. Gigerenzer and Brighton (2009, p. 118) go beyond pointing out the severe limitations of regression A.G. Woodside 262 analysis following their statement that "achieving a good fit to observations does not necessarily mean we have found a good model, and choosing the model with the best fit is likely to result in poor predictions.…”
Section: Statistical Power and Effect Size In Marketing Researchmentioning
confidence: 99%
“…The purpose of its analysis is to predict the output variables with the value of multiple explanatory variables. The main limitation of the model is that the correlation between the variables changes with time and space [48]. Assuming an output variable is y i , and some explanatory variables are x i , then the relationship between the output variable and the explanatory variable can be expressed as:…”
Section: Multiple Linear Regression Modelmentioning
confidence: 99%