Journal of Statistical Theory and Applications

Volume 19, Issue 2, June 2020, Pages 238 - 247

Comparing Two Means Using Partially Paired and Unpaired Data

Authors
Nizam Uddin1, *, Mohamad S. Hasan2
1Department of Statistics and Data Science, University of Central Florida, Orlando, FL 32816, USA
2Beckman Coulter Inc., 11800 SW 147th Ave, Miami, FL 33196, USA
*Corresponding author. Email: nizam.uddin@ucf.edu
Corresponding Author
Nizam Uddin
Received 10 February 2019, Accepted 25 April 2020, Available Online 23 June 2020.
DOI
10.2991/jsta.d.200507.003How to use a DOI?
Keywords
Normal distribution; Paired and unpaired data; Power; Simulation; t-distribution; Test of equality of means; Type I error
Abstract

A new test statistic is proposed to test the equality of two normal means when the data is partially paired and partially unpaired. The test statistic is based on a linear combination of the differences of both paired and unpaired sample means. Using t-distribution as the approximate null distribution, the proposed method is evaluated against some other standard methods known in the literature. For samples from normal and logistic distributions with equal variances, the proposed method appears to perform better than other methods with respect to power while keeping the type I error rates very competitive.

Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 2
Pages
238 - 247
Publication Date
2020/06/23
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.200507.003How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Nizam Uddin
AU  - Mohamad S. Hasan
PY  - 2020
DA  - 2020/06/23
TI  - Comparing Two Means Using Partially Paired and Unpaired Data
JO  - Journal of Statistical Theory and Applications
SP  - 238
EP  - 247
VL  - 19
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200507.003
DO  - 10.2991/jsta.d.200507.003
ID  - Uddin2020
ER  -