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A Comment on “A Review of Student Test Properties in Condition of Multifactorial Linear Regression”

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  • Eisenstat, Eric

    (Department of Economics, University of California, Irvine, United States)

Abstract

A recent article (Pavelescu, 2009) proposes a correction to the conventional student-t test of significance in linear regression models, but offers no formal description of its properties. This comment formally characterizes the sampling properties of the corrected student-t statistic. In application to multifactorial regressions, it turns out that the corrected student-t statistic is not ancillary – its sampling distribution depends on unknown nuisance parameters.Therefore, it is impossible to reasonably compute critical values and operatively designate a rejection criterion using such a test statistic, which makes the proposed testing procedure impractical. Some suggestions regarding the search for similar testing procedures are proposed and a Bayesian alternative is further discussed.

Suggested Citation

  • Eisenstat, Eric, 2010. "A Comment on “A Review of Student Test Properties in Condition of Multifactorial Linear Regression”," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 53-73, September.
    • Handle: RePEc:rjr:romjef:v::y:2010:i:3:p:53-73
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    References listed on IDEAS

    as
    1. Pavelescu, Florin Marius, 2009. "A Review Of Student Test Properties In Condition Of Multifactorial Linear Regression," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 6(1), pages 63-75, March.
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    More about this item

    Keywords

    multifactorial classical normal regression; collinearity; multicollinearity; significance test; sampling distributions; power functions; Bayesian linear regression; prior information; posterior distributions;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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