Vol. 11, No. 1, 2018

Download this article
Download this article For screen
For printing
Recent Issues

Volume 13
Issue 3, 361–539
Issue 2, 181–360
Issue 1, 1–180

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Author Index
Coming Soon
Other MSP Journals
This article is available for purchase or by subscription. See below.
Extending hypothesis testing with persistent homology to three or more groups

Christopher Cericola, Inga Johnson, Joshua Kiers, Mitchell Krock, Jordan Purdy and Johanna Torrence

Vol. 11 (2018), No. 1, 27–51
DOI: 10.2140/involve.2018.11.27

We extend the work of Robinson and Turner to use hypothesis testing with persistent homology to test for measurable differences in shape between the spaces of three or more groups. We conduct a large-scale simulation study to validate our proposed extension, considering various combinations of groups, sample sizes and measurement errors. For each such combination, the percentage of p-values below an α-level of 0.05 is provided. Additionally, we apply our method to a cardiotocography data set and find statistically significant evidence of measurable differences in shape between the spaces corresponding to normal, suspect and pathologic health status groups.

PDF Access Denied

However, your active subscription may be available on Project Euclid at

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 30.00:

persistent homology, permutation test
Mathematical Subject Classification 2010
Primary: 55N35, 62H15
Received: 14 January 2016
Revised: 8 August 2016
Accepted: 20 September 2016
Published: 17 July 2017

Communicated by Kenneth S. Berenhaut
Christopher Cericola
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803
United States
Inga Johnson
Department of Mathematics
Willamette University
Salem, OR 97301
United States
Joshua Kiers
Department of Mathematics
University of North Carolina at Chapel Hill
Chapel Hill, NC 27599
United States
Mitchell Krock
Department of Applied Mathematics
University of Colorado
Boulder, CO 80309
United States
Jordan Purdy
Department of Mathematics
Willamette University
Salem, OR 97301
United States
Johanna Torrence
Department of Computer Science
University of Chicago
Chicago, IL 60637
United States