Correlation Coefficient: Tables for Exact Test and Other Related Considerations
By Jyh-Jiuan Lin, Ching-Hui Chang and Nabendu Pal
.
Abstract:
Tables of critical values for the exact test method based on the maximum
likelihood estimator (MLE) have been obtained to test a hypothesis on the correlation
coefficient between the components of a bivariate normal random vector. The exact
test is then compared, in terms of size and power, with the other popular methods,
namely - the ‘z - test’, the ‘modified z - test’ and the ‘t - test’. While these popular
methods have almost identical size and power to the exact test for large samples, their
small sample performance is far from satisfactory as evident from our extensive
numerical computations. Thus, our tables of critical values are useful when sample
size is not large (i.e., _ 30 ). Also, it is demonstrated through a real-life dataset how
the tables of critical values can be used for interval estimation.
Key Words:
Size, power, confidence interval, asymptotic variance
Authors:
Jyh-Jiuan Lin,
Ching-Hui Chang
,
Nabendu Pal, nxp3695@louisiana.edu
Editor:
Sanku Dey, sanku_dey2k2003@yahoo.co.in
READING THE ARTICLE: You can read the article in
portable document (.pdf) format (211240 bytes.)
NOTE: The content of this article is the intellectual property of the authors, who retains all rights to future publication.
This page has been accessed 502 times since September 28, 2007.
Return to the 
Home Page.