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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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 -