Statistical tests under Dallal's model: Asymptotic and exact methods

This paper proposes asymptotic and exact methods for testing the equality of correlations for multiple bilateral data under Dallal's model. Three asymptotic test statistics are derived for large samples. Since they are not applicable to small data, several conditional and unconditional exact me...

Full description

Saved in:
Bibliographic Details
Published in:PloS one 2020-11, Vol.15 (11), p.e0242722-e0242722
Main Authors: Li, Zhiming, Ma, Changxing, Ai, Mingyao
Format: Article
Language:English
Subjects:
Analysis
Asymptotic efficiencies (Statistics)
Asymptotic methods
Asymptotic properties
Biology and Life Sciences
Correlation (Statistics)
Hypotheses
Medicine and Health Sciences
Methods
Model testing
Models, Statistical
Patients
Physical Sciences
Probability
Research and Analysis Methods
Robustness (mathematics)
Sample size
Statistical analysis
Statistical methods
Statistical tests
Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes asymptotic and exact methods for testing the equality of correlations for multiple bilateral data under Dallal's model. Three asymptotic test statistics are derived for large samples. Since they are not applicable to small data, several conditional and unconditional exact methods are proposed based on these three statistics. Numerical studies are conducted to compare all these methods with regard to type I error rates (TIEs) and powers. The results show that the asymptotic score test is the most robust, and two exact tests have satisfactory TIEs and powers. Some real examples are provided to illustrate the effectiveness of these tests.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0242722