This note seeks to clarify whether applications of Cox's (1961) modified likelihood ratio principle logically require a two- or one-tailed test. Logic requires the test of discrimination be one-tailed and the significance test for non-nested hypotheses be two-tailed. The significance test of a...

Within the framework of linear regression, errors arising from artificial inclusion or exclusion of variables are considered with augmentations or restrictions on a given maintained hypothesis. This permits exploitation of relations between tests based on Wald and Lagrange Multiplier Principles....

This note applies the traditional analysis of specification error to the Cox-tests for separate regression models. Incorrect inclusion of variables in the alternative model leads to consistent tests of the null, whereas incorrect exclusion of variables from the alternative may render the tests...

The first paper demonstrates that Theil's (1961) minimum error variance criterion is asymptotically valid for choosing between non-nested non-linear regression models, as long as one of the models is 'true'. The second paper shows that when the null and alternative hypotheses are separate...

This paper seeks to distinguish the principles upon which testing of statistical hypotheses may be based and the practical method which these principles generate. Six examples are given for the case of nested hypotheses as illustrations. The concept of an artificial model is analyzed. When...

This paper derives a complete system of commodity-expenditure and money demand equations. This approach seeks to: 1) unify the treatment of joint intertemporal decisions regarding the allocation of income and savings to expenditures on commodities; 2) accommodate a treatment of durable goods; 3)...

This paper demonstrates that the extended linear expenditure system with durables (DELES) satisfies first-order conditions for local unidentifiability, and discuss alternative methods that might be used to achieve identifiability, as well as their implications. Estimates are presented using...

When coefficients of endogenous variables are known, two-stage least squares and instrumental variables estimators are invariant to the form in which these variables enter computations, as raw data or estimates. Exclusion of instruments and knowledge of coefficients are related to...

This note estimates the Linear Expenditure System (LES), the Extended Linear Expenditure System (ELES), and the Extended Linear Expenditure System with Durables (DELES), under two alternative error specifications using seasonally adjusted quarterly Australian data for 1959Q4-1976Q2. The purpose...