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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.
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Organizations and authors

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Publisher

ACM

Volume

55

Issue

3

Pages

12-49

​Publication forum

54534

​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