On a Preliminary Test for Pooling Mean Squares in the Analysis of Variance

Paull, A. E.

Paull, A. E.

Ann. Math. Statist., Tome 21 (1950) no. 4, p. 539-556 / Harvested from Project Euclid

Résumé

The paper describes the consequences of performing a preliminary $F$-test in the analysis of variance. The use of the 5% or 25% significance level for the preliminary test results in disturbances that are frequently large enough to lead to incorrect inferences in the final test. A more stable procedure is recommended for performing the preliminary test in which the two mean squares are pooled only if their ratio is less than twice the 50% point.

Publié le : 1950-12-14
Classification:

@article{1177729750,
     author = {Paull, A. E.},
     title = {On a Preliminary Test for Pooling Mean Squares in the Analysis of Variance},
     journal = {Ann. Math. Statist.},
     volume = {21},
     number = {4},
     year = {1950},
     pages = { 539-556},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177729750}
}

Paull, A. E. On a Preliminary Test for Pooling Mean Squares in the Analysis of Variance. Ann. Math. Statist., Tome 21 (1950) no. 4, pp.  539-556. http://gdmltest.u-ga.fr/item/1177729750/