Weaker Criteria and Tests for Linear Restrictions in Regression

dc.contributor.author

Wallace, Dudley

dc.date.accessioned

2010-03-09T15:27:00Z

dc.date.available

2010-03-09T15:27:00Z

dc.date.issued

1972

dc.description.abstract

The standard F test for linear restrictions in regression is relevant as a criterion but fails to capture the notion of tradeoff between bias and variance. Average squared distance criteria yield operational tests that are more appropriate, depending upon objectives. In the present paper two alternative criteria are developed. The first allows testing of the hypothesis that the average squared distance of a restricted estimator from the parameter point in k space is less than the average squared distance of the unrestricted, ordinary least squares estimator from the same parameter point. The second sets up a test of betterness of the restricted estimator over the unrestricted estimator of E(Y/X), where betterness is again defined in average squared distance.

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180419 bytes

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application/pdf

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https://hdl.handle.net/10161/1870

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en_US

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Econometrica

dc.subject

criteria

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estimators

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linear restrictions

dc.title

Weaker Criteria and Tests for Linear Restrictions in Regression

dc.type

Journal article

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