Open AccessMAXIMIZING THE VALIDITY OF A TEST BATTERY AS A FUNCTION OF RELATIVE TEST LENGTHS FOR A FIXED TOTAL TESTING TIME
Author(s) -
Woodbury Max A.,
Novick Melvin R.
Publication year - 1967
Publication title -
ets research bulletin series
Language(s) - English
Resource type - Journals
eISSN - 2333-8504
pISSN - 0424-6144
DOI - 10.1002/j.2333-8504.1967.tb00982.x
Subject(s) - uniqueness , mathematics , function (biology) , battery (electricity) , test (biology) , statistics , mathematical optimization , mathematical analysis , power (physics) , paleontology , physics , quantum mechanics , evolutionary biology , biology
An explicit solution is given to the problem of assigning relative lengths to the tests of a battery and to determining the corresponding regression weights so as to maximize the multiple correlation with a specified criterion when the total testing time is fixed. Uniqueness of the obtained solution is proven. A solution algorithm is given for cases in which some of the testing times are zero. Some numerical examples are given.