Statistical tests for fMRI based on experimental randomization.

Statistical Tests for Fmri Based on Experimental Randomization Draft Revision Date: 7/8/99

Hypothesis Testing for Topological Data Analysis

Persistent homology is a vital tool for topological data analysis. Previous work has developed some statistical estimators for characteristics of collections of persistence diagrams. However, tools that provide statistical inference for observations that are persistence diagrams are limited. Specifically, there is a need for tests that can assess the strength of evidence against a claim that tw...

A Randomization Test SAS/IML® Program for Making Treatment Effects Inferences for Extensions and Variations of ABAB Single-Case Experimental Designs

While the evaluation of intervention effects in single-case research has relied on visual inspection of the data (Kazdin, 1980), the description of graphical forms are not considered an adequate substitute for statistical tests (Edgington, 1980). Moreover, there are cases when graphical displays of data tend to be quite ambiguous and treatment effects are not easily appreciated (Ferron & Sentov...

The Perils of Randomization Checks in the Analysis of Experiments

In the analysis of experimental data, randomization checks, also known as balance tests, are used to indicate whether a randomization has produced balance on various characteristics across experimental conditions. Randomization checks are popular in many fields although their merits have yet to be established. The grounds on which balance tests are generally justified include either 1) the cred...

Analysis of Resting-State fMRI Topological Graph Theory Properties in Methamphetamine Drug Users Applying Box-Counting Fractal Dimension

Introduction: Graph theoretical analysis of functional Magnetic Resonance Imaging (fMRI) data has provided new measures of mapping human brain in vivo. Of all methods to measure the functional connectivity between regions, Linear Correlation (LC) calculation of activity time series of the brain regions as a linear measure is considered the most ubiquitous one. The strength of the dependence obl...