Geodesic
Testing hypotheses in universal models
Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 2, pp. 127-149
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A linear regression model, when a design matrix has not full column rank and a covariance matrix is singular, is considered. The problem of testing hypotheses on mean value parameters is studied. Conditions when a hypothesis can be tested or when need not be tested are given. Explicit forms of test statistics based on residual sums of squares are presented.
Keywords: universal linear model, unbiased estimator, tests hypotheses 
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Fišerová, Eva. Testing hypotheses in universal models. Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 2, pp. 127-149. http://geodesic.mathdoc.fr/item/DMPS_2006_26_2_a1/

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