Too Small to Succeed : Small Samples and the p-Value Problem
Year of publication
2024
Authors
Aguirre-Urreta, Miguel I.; Rönkkö, Mikko; McIntosh, Cameron N.
Abstract
Determining an appropriate sample size is a critical planning decision in quantitative empirical research. In recent years, there has been a growing concern that researchers have excessively focused on statistical significance in large sample studies to the detriment of effect sizes. This research focuses on a related concern at the other end of the spectrum. We argue that a combination of bias in significant estimates obtained from small samples (compared to their population values) and an editorial preference for the publication of significant results compound to produce marked bias in published small sample studies. We then present a simulation study covering a variety of statistical techniques commonly used to examine structural equation models with latent variables. Our results support our contention that significant results obtained from small samples are likely biased and should be considered with skepticism. We also argue for the need to provide a priori power analyses to understand the behavior of parameter estimates under the small sample conditions we examine.
Show moreOrganizations and authors
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal/Series
Publisher
Volume
55
Issue
3
Pages
12-49
ISSN
Publication forum
Publication forum level
1
Open access
Open access in the publisher’s service
No
Self-archived
Yes
Other information
Fields of science
Statistics and probability; Computer and information sciences
Keywords
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Publication country
United States
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1145/3685235.3685238
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes