Siwei Liu 1 Yang Zhou 1 Richard Palumbo 2 amp JaneLing Wang 1 1 UC Davis 2 University of Rhode Island Motivating Study Physiological synchrony between romantic partners during nonverbal conditions ID: 510070
Download Presentation The PPT/PDF document "Dynamical Correlation: A New Method to Q..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Dynamical Correlation: A New Method to Quantify Synchrony
Siwei
Liu
1,
Yang Zhou
1
, Richard Palumbo
2
, & Jane-Ling Wang
1
1
UC Davis;
2
University of Rhode IslandSlide2
Motivating Study
Physiological synchrony between romantic partners during nonverbal conditions
30
Minutes Total
15 Minutes
Face to Face
15 Minutes
Back to Back
N=16Slide3
Electrodermal Activity (EDA) from Two CouplesSlide4Slide5
Multilevel Modeling?
Assumes a universal model
Random effects are normally distributed
Violations lead to biased estimates
Difficult to converge with small sample size - (Bell et al., 2008, 2010; Maas
& Hox, 2004, 2005)
Within Dyad
Between DyadSlide6Slide7
Time Series Analysis?
Vector Autoregressive Model (VAR)
Cointegration
Relation
y
1
~
I(1)
y
2
~ I(1)
y
1
-2*y
2
~ I(0)
StationaritySlide8
Dynamical Correlation
Functional data analysis (Ramsay & Silverman, 2005)
Longitudinal data
: Observations taken from a set of smooth curves or functions, which are realizations of an underlying stochastic process
Functional Regression
Functional principle component analysisFunctional clusteringDynamical correlation Similarity in the shape of two curves, range = [-1,1]
Nonparametric – no functional form neededNo assumption on distribution of subject-level estimatesPopulation-level inferencesSlide9
Dynamical Correlation between X(t) and Y(t)
Define the standardized curve
where
Dynamical correlation is defined as:
Compare to Pearson correlation:
(
1
)
(
2
)Slide10
Simulation Example ISlide11
Simulation Example IISlide12
Synchrony in EDA
Back-to-Back Condition
Face-to-Face Condition
Random pairs in face-to-face condition
Romantic partners synchronized their EDA during nonverbal interactions, but only when they were able to see each other.
Synchrony was not due to shared experience.Slide13
Extensions
Other variables
Parent-child interactions
Positive affect and negative affect
Derivatives and lagsLinks to DFMLinks to Granger causality
Matrix of dynamical correlationPrincipal component analysisLimitationsRequire intensive dataNo true subject-level estimates
Functional multilevel model (Li, Root, &
Shiffman, 2006)