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Linear and nonlinear dynamical syste...

Boker, Steven Marshall.

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Linear and nonlinear dynamical systems data analytic techniques and an application to developmental data.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear and nonlinear dynamical systems data analytic techniques and an application to developmental data./
Author:	Boker, Steven Marshall.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 1996,
Description:	134 p.
Notes:	Source: Dissertation Abstracts International, Volume: 57-08, Section: B, page: 5382.
Contained By:	Dissertation Abstracts International57-08B.
Subject:	Quantitative psychology. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9701362
ISBN:	9780591076752

Linear and nonlinear dynamical systems data analytic techniques and an application to developmental data.
Boker, Steven Marshall.

Linear and nonlinear dynamical systems data analytic techniques and an application to developmental data. - Ann Arbor : ProQuest Dissertations & Theses, 1996 - 134 p.

Source: Dissertation Abstracts International, Volume: 57-08, Section: B, page: 5382.

Thesis (Ph.D.)--University of Virginia, 1996.

This work presents a methodology for analyzing developmental and physiological time series from the perspective of dynamical systems. An overview of recent advances in nonlinear techniques for time series analysis is presented. Methods for generating a nonlinear dynamical systems analog to a covariance matrix are proposed. A novel application of structural equation modeling is proposed in which structural expectations can be fit to these nonlinear dependency matrices. A data set has been selected to demonstrate an application of some of these linear and nonlinear descriptive analyses, a surrogate data null hypothesis test, and nonlinear dependency analysis. The dynamical systems methods are evaluated in the light of (a) whether the techniques can be successfully applied to the example data and if so, (b) whether the results of these analyses provide insight into the processes under study which was not provided by other analyses.

ISBN: 9780591076752Subjects--Topical Terms:

2144748
Quantitative psychology.

Linear and nonlinear dynamical systems data analytic techniques and an application to developmental data.
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020 $a 9780591076752
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100 1 $a Boker, Steven Marshall. $3 3168487
245 1 0 $a Linear and nonlinear dynamical systems data analytic techniques and an application to developmental data.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 1996
300 $a 134 p.
500 $a Source: Dissertation Abstracts International, Volume: 57-08, Section: B, page: 5382.
502 $a Thesis (Ph.D.)--University of Virginia, 1996.
520 $a This work presents a methodology for analyzing developmental and physiological time series from the perspective of dynamical systems. An overview of recent advances in nonlinear techniques for time series analysis is presented. Methods for generating a nonlinear dynamical systems analog to a covariance matrix are proposed. A novel application of structural equation modeling is proposed in which structural expectations can be fit to these nonlinear dependency matrices. A data set has been selected to demonstrate an application of some of these linear and nonlinear descriptive analyses, a surrogate data null hypothesis test, and nonlinear dependency analysis. The dynamical systems methods are evaluated in the light of (a) whether the techniques can be successfully applied to the example data and if so, (b) whether the results of these analyses provide insight into the processes under study which was not provided by other analyses.
590 $a School code: 0246.
650 4 $a Quantitative psychology. $3 2144748
650 4 $a Developmental psychology. $3 516948
690 $a 0632
690 $a 0620
710 2 $a University of Virginia. $3 645578
773 0 $t Dissertation Abstracts International $g 57-08B.
790 $a 0246
791 $a Ph.D.
792 $a 1996
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9701362