Title
A test statistic based on ranked set sampling for two normal means.
Abstract
In this study, we considered a hypothesis test for the difference of two population means using ranked set sampling. We proposed a test statistic for this hypothesis test with more than one cycle under normality. We also investigate the performance of this test statistic, when the assumptions hold and are violated. For this reason, we investigate the type I error and power rates of tests under normality with equal and unequal variances, non-normality with equal and unequal variances. We also examine the performance of this test under imperfect ranking case. The simulation results show that derived test performs quite well.
Year
DOI
Venue
2017
10.1080/03610918.2016.1263736
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
Field
DocType
Hypothesis test,Monte Carlo,Ranked set sampling
Econometrics,F-test of equality of variances,Normality test,Test statistic,F-test,ANOVA on ranks,Brown–Forsythe test,Levene's test,Bartlett's test,Statistics,Mathematics
Journal
Volume
Issue
ISSN
46
10
0361-0918
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Yaprak Arzu Özdemir100.34
Meral Ebegil200.34
Fikri Gokpinar332.46