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JSRI 2016, 12(2): 147-162 Back to browse issues page
Modified Signed Log-Likelihood Ratio Test for Comparing the Correlation Coefficients of Two Independent Bivariate Normal Distributions
Reza Kazemi Mohammad, Ali Akbar Jafari *1
1- , aajafari@yazd.ac.ir
Abstract:   (2969 Views)

Received: 11/30/2014             Approved: 5/30/2016‎ 

Abstract: In this paper, we use the method of modified signed log-likelihood ratio test for the problem of testing the equality of correlation coefficients in two independent bivariate normal distributions. We compare this method with two other approaches, Fisherchr('39')s Z-transform and generalized test variable, using a Monte Carlo simulation. It indicates that the proposed method is better than the other approaches, in terms of the actual sizes and powers especially when the sample sizes are unequal. We illustrate performance of the proposed approach, using a real data set.

Keywords: Bivariate normal distribution, actual size, correlation coefficient, maximum likelihood estimator, power.
Full-Text [PDF 186 kb]   (965 Downloads)    
Type of Study: Research | Subject: General
Received: 2016/07/4 | Accepted: 2016/07/4 | Published: 2016/07/4
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Kazemi R, Jafari A A. Modified Signed Log-Likelihood Ratio Test for Comparing the Correlation Coefficients of Two Independent Bivariate Normal Distributions. JSRI. 2016; 12 (2) :147-162
URL: http://jsri.srtc.ac.ir/article-1-192-en.html


Volume 12, Issue 2 (3-2016) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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