title: On the exact null distribution of the generalised likelihood ratio test for analysing unreplicated factorial designs.
abstract: Al-Shiha and Yang (1999) proposed a multistage procedure for analysing unreplicated factorial experiments, which is based on the statistic that is derived from the generalised likelihood ratio test statistic under the assumption of normality. It was shown by their simulation study that the method is quite competitive with Lenth's (1989) method. In their paper, because of the difficulty of determining the null distribution analytically, the quantiles of the null distribution were empirically simulated. In this paper, we give the exact null distribution of their test statistic, which makes it possible to calculate the critical values of the test.
authors.affiliation: Department of Statistics, East China Normal University, 3663 Zhong Shan North Road, Shanghai 200062, PR China. ychen@stat.ecnu.edu.cn
authors.forename: Ying
authors.initials: Y
authors.lastname: Chen
mesh_terms: D015982:Bias; D003198:Computer Simulation; D005163:Factor Analysis, Statistical; D016013:Likelihood Functions; D012107:Research Design