Open Access
Translator Disclaimer
October, 1971 New Criteria for Estimability for Linear Models
George A. Milliken
Ann. Math. Statist. 42(5): 1588-1594 (October, 1971). DOI: 10.1214/aoms/1177693157


A new criterion for determining the estimability of linear combinations of the parameters of a linear model is established. The result consists of evaluating the trace of a matrix and thus only one number must be checked to determine estimability. The sums of squares necessary to test hypotheses about estimable linear combinations are also derived. Finally, a stepwise computational procedure to compute generalized inverses and matrix products involving generalized inverses is presented. Using the theory and computational techniques, a computer program can be developed to provide a complete analysis of the linear model using generalized inverses.


Download Citation

George A. Milliken. "New Criteria for Estimability for Linear Models." Ann. Math. Statist. 42 (5) 1588 - 1594, October, 1971.


Published: October, 1971
First available in Project Euclid: 27 April 2007

zbMATH: 0274.62040
MathSciNet: MR345340
Digital Object Identifier: 10.1214/aoms/1177693157

Rights: Copyright © 1971 Institute of Mathematical Statistics


Vol.42 • No. 5 • October, 1971
Back to Top