Power Functions and Distribution Functions Related to "Students's" Test |
Common terms and phrases
ù ù)² ò ò)² ó ó)² Accepting when H alternative hypothesis H₁ B₁ B₂ Beta functions CATHOLIC UNIVERSITY characteristic function critical region degrees of freedom distributed according DISTRIBUTION FUNCTIONS RELATED DOCTOR OF PHILOSOPHY dy dw e₁ e₂ errors of Type Functions and Distribution g(y¹ Gamma function given by 4.3 H is false H is true hypothesis H independently distributed joint distribution Let O¹ likelihood ratio likelihood ratio test N-1 degrees N+r+v normal populations null hypothesis number of rejections obtain the distribution population means population variances Power Functions probability distribution probability level probability of rejecting rejecting H rejecting when H RELATED TO STUDENT'S samples from normal statistical populations t-test three samples UNIVERSITY OF AMERICA variable variances are equal variances are unequal variances are unknown X₁² Xa¹ Xa² ÿ¹ y¹ and y² Σ Σ σ₁² σ² σ₂² φν,τ