The Behrens-Fisher Problem for Regression Coefficients
Frasher, D. A. S.
Ann. Math. Statist., Tome 24 (1953) no. 4, p. 390-402 / Harvested from Project Euclid
For two normal populations with unknown variances and means depending linearly on $p + q$ regression variables, a Behrens-Fisher generalization is to test the equality of $q$ regression coefficients in one population with a corresponding set in the second population. When $q = 1$ a general class of similar regions is obtained for the hypothesis, and for regions restricted to this class a most powerful or most powerful unbiased test is found. When $q > 1$ several tests are presented and discussed.
Publié le : 1953-09-14
Classification: 
@article{1177728979,
     author = {Frasher, D. A. S.},
     title = {The Behrens-Fisher Problem for Regression Coefficients},
     journal = {Ann. Math. Statist.},
     volume = {24},
     number = {4},
     year = {1953},
     pages = { 390-402},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177728979}
}
Frasher, D. A. S. The Behrens-Fisher Problem for Regression Coefficients. Ann. Math. Statist., Tome 24 (1953) no. 4, pp.  390-402. http://gdmltest.u-ga.fr/item/1177728979/