Subscribe Now Subscribe Today
Science Alert
 
Blue
   
Curve Top
Journal of Applied Sciences
  Year: 2012 | Volume: 12 | Issue: 13 | Page No.: 1390-1395
DOI: 10.3923/jas.2012.1390.1395
 
Facebook Twitter Digg Reddit Linkedin StumbleUpon E-mail

Scale Invariant Follmann-type Tests

Samruam Chongcharoen and F.T. Wright

Abstract:
Suppose X1, X2, …, Xn is a random sample from the Np(θ, V) distribution. Consider H0: θ1 = θ2 = … = θp = 0 and H1: θi>0 for i = 1, 2, …, p, let H1-H0 denote the hypothesis that H1 holds but H0 does not and let~H0 denote the hypothesis that H0 does not hold. Because the Likelihood Ratio Test (LRT) of H0 versus H1-H0 is complicated, several ad hoc tests have been proposed. The proposed test is a permutation and scale invariant test statistic which includes information about the correlation structure in the sum of the sample mean. The simulation study showed that it maintain type I error rate level very well and it also give good powers. The proposed test also is compared with the existing one with these invariance properties.
PDF Fulltext XML References Citation Report Citation
How to cite this article:

Samruam Chongcharoen and F.T. Wright, 2012. Scale Invariant Follmann-type Tests. Journal of Applied Sciences, 12: 1390-1395.

DOI: 10.3923/jas.2012.1390.1395

URL: https://scialert.net/abstract/?doi=jas.2012.1390.1395

COMMENT ON THIS PAPER
 
 
 

 

 
 
 
 
 
 
 
 
 

 
 
 
 
 
 
 

Curve Bottom