On the T-test
Article
Novak, S. 2022. On the T-test. Statistics & Probability Letters. 189. https://doi.org/10.1016/j.spl.2022.109562
Type | Article |
---|---|
Title | On the T-test |
Authors | Novak, S. |
Abstract | The aim of this article is to show that the T-test can be misleading. We argue that normal or Student's approximation to the distribution L(tn) of Student's statistic tn does not hold uniformly over the class Pn of samples fX1; :::;Xng from zero-mean unit-variance bounded distributions. We present lower bounds to the corresponding error. |
Keywords | Hypothesis testing, T-test, Student’s statistic |
Sustainable Development Goals | 9 Industry, innovation and infrastructure |
Publisher | Elsevier |
Journal | Statistics & Probability Letters |
ISSN | 0167-7152 |
Electronic | 1879-2103 |
Publication dates | |
Online | 11 Jun 2022 |
01 Oct 2022 | |
Publication process dates | |
Deposited | 28 Nov 2022 |
Submitted | 08 Nov 2021 |
Accepted | 02 Jun 2022 |
Output status | Published |
Accepted author manuscript | License File Access Level Open |
Copyright Statement | Accepted manuscript: Copyright © 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.spl.2022.109562 |
Language | English |
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