An extended difference of coherence test for comparing and combining several independent coherence estimates: theory and application to the study of motor units and physiological tremor

A. M. Amjad, D. M. Halliday, J. R. Rosenberg, B. A. Conway

Research output: Contribution to journalArticle

203 Citations (Scopus)

Abstract

Recently there has been an increase in the use of spectral methods for the analysis of experimental data. These analytical methods allow the study of interactions between simultaneously recorded signals and are particularly suited to the study of systems displaying rhythmic behaviour. A useful parameter in this context is the coherence function which provides a bounded measure of linear association between two signals. In this report we introduce two new techniques for dealing with an arbitrary number of independent coherence estimates. The first technique provides a test to compare the coherence estimates for statistically significant differences. The second allows the-original coherence estimates to be combined, or 'pooled' into a single representative estimate. These two measures, taken together, provide a powerful tool for characterising and summarising the correlations within data sets. Applications of the techniques are illustrated by analysing the interactions between single motor unit discharges and finger tremor, and between pairs of motor unit discharges in human subjects.

LanguageEnglish
Pages69-79
Number of pages11
JournalJournal of Neuroscience Methods
Volume73
Issue number1
DOIs
Publication statusPublished - 25 Apr 1997

Fingerprint

Tremor
Fingers
Datasets

Keywords

  • coherence
  • difference of coherence
  • motor unit
  • motor unit synchronization
  • spectral analysis
  • tremor

Cite this

@article{3b68d327220a49d9acb72e8af133e62e,
title = "An extended difference of coherence test for comparing and combining several independent coherence estimates: theory and application to the study of motor units and physiological tremor",
abstract = "Recently there has been an increase in the use of spectral methods for the analysis of experimental data. These analytical methods allow the study of interactions between simultaneously recorded signals and are particularly suited to the study of systems displaying rhythmic behaviour. A useful parameter in this context is the coherence function which provides a bounded measure of linear association between two signals. In this report we introduce two new techniques for dealing with an arbitrary number of independent coherence estimates. The first technique provides a test to compare the coherence estimates for statistically significant differences. The second allows the-original coherence estimates to be combined, or 'pooled' into a single representative estimate. These two measures, taken together, provide a powerful tool for characterising and summarising the correlations within data sets. Applications of the techniques are illustrated by analysing the interactions between single motor unit discharges and finger tremor, and between pairs of motor unit discharges in human subjects.",
keywords = "coherence, difference of coherence, motor unit, motor unit synchronization, spectral analysis, tremor",
author = "Amjad, {A. M.} and Halliday, {D. M.} and Rosenberg, {J. R.} and Conway, {B. A.}",
year = "1997",
month = "4",
day = "25",
doi = "10.1016/S0165-0270(96)02214-5",
language = "English",
volume = "73",
pages = "69--79",
journal = "Journal of Neuroscience Methods",
issn = "0165-0270",
number = "1",

}

TY - JOUR

T1 - An extended difference of coherence test for comparing and combining several independent coherence estimates

T2 - Journal of Neuroscience Methods

AU - Amjad, A. M.

AU - Halliday, D. M.

AU - Rosenberg, J. R.

AU - Conway, B. A.

PY - 1997/4/25

Y1 - 1997/4/25

N2 - Recently there has been an increase in the use of spectral methods for the analysis of experimental data. These analytical methods allow the study of interactions between simultaneously recorded signals and are particularly suited to the study of systems displaying rhythmic behaviour. A useful parameter in this context is the coherence function which provides a bounded measure of linear association between two signals. In this report we introduce two new techniques for dealing with an arbitrary number of independent coherence estimates. The first technique provides a test to compare the coherence estimates for statistically significant differences. The second allows the-original coherence estimates to be combined, or 'pooled' into a single representative estimate. These two measures, taken together, provide a powerful tool for characterising and summarising the correlations within data sets. Applications of the techniques are illustrated by analysing the interactions between single motor unit discharges and finger tremor, and between pairs of motor unit discharges in human subjects.

AB - Recently there has been an increase in the use of spectral methods for the analysis of experimental data. These analytical methods allow the study of interactions between simultaneously recorded signals and are particularly suited to the study of systems displaying rhythmic behaviour. A useful parameter in this context is the coherence function which provides a bounded measure of linear association between two signals. In this report we introduce two new techniques for dealing with an arbitrary number of independent coherence estimates. The first technique provides a test to compare the coherence estimates for statistically significant differences. The second allows the-original coherence estimates to be combined, or 'pooled' into a single representative estimate. These two measures, taken together, provide a powerful tool for characterising and summarising the correlations within data sets. Applications of the techniques are illustrated by analysing the interactions between single motor unit discharges and finger tremor, and between pairs of motor unit discharges in human subjects.

KW - coherence

KW - difference of coherence

KW - motor unit

KW - motor unit synchronization

KW - spectral analysis

KW - tremor

UR - http://www.scopus.com/inward/record.url?scp=0030906022&partnerID=8YFLogxK

U2 - 10.1016/S0165-0270(96)02214-5

DO - 10.1016/S0165-0270(96)02214-5

M3 - Article

VL - 73

SP - 69

EP - 79

JO - Journal of Neuroscience Methods

JF - Journal of Neuroscience Methods

SN - 0165-0270

IS - 1

ER -