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Thèses sur le sujet « Dynamic structural equation models »

Auteur : Grafiati
Publié le 10 mars 2023

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1

Ciraki, Dario. "Dynamic structural equation models : estimation and interference." Thesis, London School of Economics and Political Science (University of London), 2007. http://etheses.lse.ac.uk/2937/.

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The thesis focuses on estimation of dynamic structural equation models in which some or all variables might be unobservable (latent) or measured with error. Moreover, we consider the situation where latent variables can be measured with multiple observable indicators and where lagged values of latent variables might be included in the model. This situation leads to a dynamic structural equation model (DSEM), which can be viewed as dynamic generalisation of the structural equation model (SEM). Taking the mismeasurement problem into account aims at reducing or eliminating the errors-in-variables
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Jung, Kwang Hee. "Dynamic GSCA generalized structured component analysis: a structural equation model for analyzing effective connectivity in functional neuroimaging." Thesis, McGill University, 2012. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=106488.

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Structural equation modeling (SEM) is often used to investigate effective connectivity in functional neuroimaging studies. Modeling effective connectivity refers to an approach in which a number of specific brain regions, called regions of interest (ROIs), are selected according to some prior knowledge about the regions, and directional (causal) relationships between them are hypothesized and tested. Existing methods for SEM, however, have serious limitations in terms of their computational capacity and the range of models that can be specified. To alleviate these difficulties, I propose a new
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3

Yang, Yang. "Two-dimensional dynamic analysis of functionally graded structures by using meshfree boundary-domain integral equation method." Thesis, University of Macau, 2015. http://umaclib3.umac.mo/record=b3335354.

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4

Zhou, Lixing. "Dynamic generalized (multiple-set) structured canonical correlation analysis (dynamic GCANO): a structural equation model for simultaneous analysis of multiple-subject effective connectivity in functional neuroimaging studies." Thesis, McGill University, 2014. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=123190.

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Effective connectivity in functional neuroimaging studies is defined as the time dependent causal influence that a certain brain region of interest (ROI) exerts on another. Structural equation modeling (SEM) is regularly employed to analyze effective connectivity. In recent years, various SEM methods have been proposed to model effective connectivity. However, there has been little attempt to develop SEM methods for analyzing common patterns of effective connectivity across subjects despite the prevalence of multiple-subject research in effective connectivity. This dissertation proposes a meth
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5

Hu, Shanshan. "AFFECT, MOTIVATION, AND ENGAGEMENT IN THE CONTEXT OF MATHEMATICS EDUCATION: TESTING A DYNAMIC MODEL OF INTERACTIVE RELATIONSHIPS." UKnowledge, 2018. https://uknowledge.uky.edu/edp_etds/71.

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The present study tested the interactive model of affect, motivation, and engagement (Linnenbrink, 2007) in mathematics education with a nationally representative sample. Self-efficacy, self-concept, and anxiety were indicators of pleasant and unpleasant affect. Intrinsic and extrinsic motivation were indicators of mastery and performance approach. Persistence and cognitive activation were indicators of behavioral and cognitive engagement. The 2012 Programme for International Student Assessment (PISA) supplied a sample of 4,978 students from the United States for structural equation modeling.
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6

Han, Sukho Brown D. Scott. "The impact analysis of structural change in Korean agriculture with respect to the Korean-United States free trade agreement dynamic simultaneous equation model approach /." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/6969.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb 26, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Dr. Scott Brown. Includes bibliographical references.
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7

Bocaccio, Alessandro Antunes. "A inteligência como capacidade dinâmica : uma relação entre processo de monitoramento de ambiente externo e vantagem competitiva." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2016. http://hdl.handle.net/10183/163858.

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As organizações estão expostas a uma quantidade e variabilidade cada vez mais crescente de informações. A capacidade de se antecipar às tendências e se adequar ao ambiente passa a ser, além de fonte de vantagem competitiva, fator necessário para a sobrevivência. Nessa realidade, organizações frequentemente apresentam dificuldades de leitura de seu ambiente e adaptação ao meio. Acredita-se na necessidade de desenvolvimento de uma capacidade interna da organização para que o monitoramento do ambiente se estabeleça, bem como análise de oportunidades, planejamento de ações de melhoria e reconfigur
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8

Konarski, Roman. "Sensitivity analysis for structural equation models." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq22893.pdf.

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9

Cerqueira, Pedro Henrique Ramos. "Structural equation models applied to quantitative genetics." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-05112015-145419/.

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Causal models have been used in different areas of knowledge in order to comprehend the causal associations between variables. Over the past decades, the amount of studies using these models have been growing a lot, especially those related to biological systems where studying and learning causal relationships among traits are essential for predicting the consequences of interventions in such system. Graph analysis (GA) and structural equation modeling (SEM) are tools used to explore such associations. While GA allows searching causal structures that express qualitatively how variables are cau
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10

Jung, Sunho. "Regularized structural equation models with latent variables." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66858.

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In structural equation models with latent variables, maximum likelihood (ML) estimation is currently the most prevailing estimation method. However, the ML method fails to provide accurate solutions in a number of situations including those involving small sample sizes, nonnormality, and model misspecification. To over come these difficulties, regularized extensions of two-stage least squares estimation are proposed that incorporate a ridge type of regularization in the estimation of parameters. Two simulation studies and two empirical applications demonstrate that the propos
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11

Codd, Casey L. "Nonlinear Structural Equation Models: Estimation and Applications." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1301409131.

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12

Pfleger, Phillip Isaac. "Exploring Fit for Nonlinear Structural Equation Models." BYU ScholarsArchive, 2019. https://scholarsarchive.byu.edu/etd/7370.

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Fit indices and fit measures commonly used to determine the accuracy and desirability of structural equation models are expected to be insensitive to nonlinearity in the data. This includes measures as ubiquitous as the CFI, TLI, RMSEA, SRMR, AIC, and BIC. Despite this, some software will report these measures when certain models are used. Consequently, some researchers may be led to use these fit measures without realizing the impropriety of the act. Alternative fit measures have been proposed, but these measures require further testing. As part of this thesis, a large simulation study was
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13

Lievin-Lieven, Nicholas Andrew John. "Validation of structural dynamic models." Thesis, Imperial College London, 1990. http://hdl.handle.net/10044/1/46413.

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14

Fonseca, Jose Manuel Rios. "Uncertainty in structural dynamic models." Thesis, Swansea University, 2005. https://cronfa.swan.ac.uk/Record/cronfa42563.

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Modelling of uncertainty increases trust in analysis tools by providing predictions with confidence levels, produces more robust designs, and reduces design cycle time/cost by reducing the amount of experimental verification and validation that is required. However, uncertainty-based methods are more complex and computationally expensive than their deterministic counterparts, the characterisation of uncertainties is a non-trivial task, and the industry feels comfortable with the traditional design methods. In this work the three most popular uncertainty propagation methods (Monte Carlo simulat
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15

Chiu, Y. D. "Exploratory studies for Gaussian process structural equation models." Thesis, University College London (University of London), 2014. http://discovery.ucl.ac.uk/1437626/.

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Latent variable models (LVMs) are widely used in many scientific fields due to the ubiquitousness and feasibility of latent variables. Conventional LVMs, however, have limitations because they model relationships between covariates and latent variables or among latent variables with a parametric fashion. A more flexible model framework is therefore needed, especially without prior knowledge of sensible parametric forms. This thesis proposes a new non-parametric LVM for the need. We define a model structure with particular features, including a multi-layered structure constituting of non-parame
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16

Morris, Nathan J. "Multivariate and Structural Equation Models for Family Data." Case Western Reserve University School of Graduate Studies / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=case1247004562.

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17

Yuan, Yiyong Kolenikov Stanislav. "Empirical likelihood approach estimation of structural equation models." Diss., Columbia, Mo. : University of Missouri--Columbia, 2007. http://hdl.handle.net/10355/5029.

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The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Title from PDF of title page (University of Missouri--Columbia, viewed on September 15, 2009). Thesis advisor: Dr. Stanislav Kolenikov. Includes bibliographical references.
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18

Jin, Shaobo. "Essays on Estimation Methods for Factor Models and Structural Equation Models." Doctoral thesis, Uppsala universitet, Statistiska institutionen, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-247292.

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This thesis which consists of four papers is concerned with estimation methods in factor analysis and structural equation models. New estimation methods are proposed and investigated. In paper I an approximation of the penalized maximum likelihood (ML) is introduced to fit an exploratory factor analysis model. Approximated penalized ML continuously and efficiently shrinks the factor loadings towards zero. It naturally factorizes a covariance matrix or a correlation matrix. It is also applicable to an orthogonal or an oblique structure. Paper II, a simulation study, investigates the properties
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19

Meissen, Emily Philomena, and Emily Philomena Meissen. "Invading a Structured Population: A Bifurcation Approach." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/625610.

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Matrix population models are discrete in both time and state-space, where a matrix with density-dependent entries is used to project a population vector of a stage-structured population from one time to the next. Such models are useful for modeling populations with discrete categorizations (e.g. developmental cycles, communities of multiple species, differing sizes, etc.). We present a general matrix model of two interacting populations where one (the resident) has a stable cycle, and we analyze when the other population (the invader) can successfully invade. Specifically, we study the local b
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20

Hwang, Heungsun 1969. "Structural equation modeling by extended redundancy analysis." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=36954.

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A new approach to structural equation modeling based on so-called extended redundancy analysis (ERA) is proposed. In ERA, latent variables are obtained as exact linear combinations of observed variables, and model parameters are estimated by consistently minimizing a single criterion. As a result, the method can avoid limitations of covariance structure analysis (e.g., stringent distributional assumptions, improper solutions, and factor score indeterminacy) in addition to those of partial least squares (e.g., the lack of a global optimization procedure). The method is simple yet versatile enou
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21

Zeileis, Achim, Friedrich Leisch, Christian Kleiber, and Kurt Hornik. "Monitoring structural change in dynamic econometric models." SFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business, 2002. http://epub.wu.ac.at/1296/1/document.pdf.

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The classical approach to testing for structural change employs retrospective tests using a historical data set of a given length. Here we consider a wide array of fluctuation-type tests in a monitoring situation - given a history period for which a regression relationship is known to be stable, we test whether incoming data are consistent with the previously established relationship. Procedures based on estimates of the regression coefficients are extended in three directions: we introduce (a) procedures based on OLS residuals, (b) rescaled statistics and (c) alternative asymptotic boundaries
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22

Song, Yang. "A Livable City Study in China Using Structural Equation Models." Thesis, Uppsala universitet, Statistiska institutionen, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-154775.

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The concept of livable city was put forward naturally and began to gain more attention when people care more about human needs during the economic development. In this paper, we define a livable city as an urban area takes the residents' demand as first priority. It has a pleasant ecological environment, a mature community with rich public resources such as culture, transportation and medical system, and being economically well developed. Our study first reviews the theory development and literature on the subject. Then we set up a structural equation model (SEM) to verify the theory based on
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23

Gheno, Gloria. "Structural equation models with interacting mediators: theory and empirical results." Doctoral thesis, Università degli studi di Padova, 2015. http://hdl.handle.net/11577/3423937.

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In last decades researchers have focused on the analysis of SEM models with nonlinear effects involving exogenous variables, i.e. which are not linearly dependent on other variables. The main problems studied are the estimation process, the choice of the indicators for nonlinear terms, when the variables are unobserved and the possibility of distinguishing interaction models from curvilinear models, while the causal analysis is not taken into account. In this thesis I introduce nonlinear terms involving endogenous variables in SEM model with 2 mediators. I focus my attention on the interacti
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24

Garcia, Jose Vincente. "Development of valid models for structural dynamic analysis." Thesis, Imperial College London, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.501415.

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25

Stiles, Peter A. "Improvement of structural dynamic models via system identification." Thesis, Virginia Tech, 1988. http://hdl.handle.net/10919/44086.

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Proper mathematical models of structures are beneficial for designers and analysts. The accuracy of the results is essential. Therefore, verification and/or correction of the models is vital. This can be done by utilizing experimental results or other analytical solutions. There are different methods of generating the accurate mathematical models. These methods range from completely analytically derived models, completely experimentally derived models, to a combination of the two. These model generation procedures are called System Identification. Today a popular method is to create an
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26

ZAMBELLI, MICHELA. "INVESTIGATING DYNAMICS OF CHANGE OF PSYCHOLOGICAL PROCESSES WITHIN A COMPLEXITY FRAMEWORK: APPLICATION TO THE MEANING-MAKING PROCESS." Doctoral thesis, Università Cattolica del Sacro Cuore, 2023. http://hdl.handle.net/10280/134702.

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La tesi di dottorato si propone di aprire una riflessione su come misurare le dinamiche di cambiamento dei processi psicologici in ottica di complessità, presentando un’applicazione al processo di creazione di significato (meaning-making). Dopo la formulazione di una nuova definizione concettuale integrata del processo di meaning-making a seguito di una revisione sistematica (primo capitolo), si è sviluppata una nuova misura self-report del significato della vita (SMILE; situational meaning in life evaluation), validata in un campione rappresentativo nazionale e in un campione di giovani adult
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27

Rockwood, Nicholas John. "Estimating Multilevel Structural Equation Models with Random Slopes for Latent Covariates." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1554478681581538.

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28

Alawneh, Zakaria Mohammad. "A numerical method for solving certain nonlinear integral equations arising in age-structured populations dynamics." Diss., The University of Arizona, 1990. http://hdl.handle.net/10150/184984.

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In this thesis we study the existence and stability of positive equilibrium of a general model for the dynamics of several interacting, age-structured population. We begin with the formulation and proof of a global existence theorem for the initial value problem. The proof of this theorem is used to develop an algorithm and a FORTRAN code for the numerical solution of initial value problems for the single species case. This computer program is used to study prototype models for the dynamics of a population whose fertility and mortality rates exhibit an "Allee effect". This is done from a bifur
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29

Barth, Volker. "Integrated assessment of climate change using structural dynamic models." Hamburg : Max-Planck-Inst. für Meteorologie, 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=968535933.

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30

Fotsch, Daniel Wesley. "Development of valid FE models for structural dynamic design." Thesis, Imperial College London, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.367597.

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31

Corrêa, Wilson Luiz Rotatori. "Dynamic structural econometric models and high inflation in Brazil." Thesis, University of Southampton, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442787.

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32

Farmer, G. Lawrence. "Using structural equation modeling to asses two theoretical models that explain dropout." FIU Digital Commons, 1996. http://digitalcommons.fiu.edu/etd/3252.

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This study evaluated the relative fit of both Finn's (1989) Participation-Identification and Wehlage, Rutter, Smith, Lesko and Fernandez's (1989) School Membership models of high school completion to a sample of 4,597 eighth graders taken from the National Educational Longitudinal Study of 1988 , (NELS:88), utilizing structural equation modeling techniques. This study found support for the importance of educational engagement as a factor in understanding academic achievement. The Participation-Identification model was particularly well fitting when applied to the sample of high school complete
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33

Preacher, Kristopher J. "The Role of Model Complexity in the Evaluation of Structural Equation Models." The Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=osu1054130634.

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34

Ethington, Corinna A. "The robustness of LISREL estimates in structural equation models with categorical data." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/54504.

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This study was an examination of the effect of type of correlation matrix on the robustness of LISREL maximum likelihood and unweighted least squares structural parameter estimates for models with categorical manifest variables. Two types of correlation matrices were analyzed; one containing Pearson product-moment correlations and one containing tetrachoric, polyserial, and product-moment correlations as appropriate. Using continuous variables generated according to the equations defining the population model, three cases were considered by dichotomizing some of the variables with varying degr
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35

Banerjee, Paromita. "Numerical Methods for Stochastic Differential Equations and Postintervention in Structural Equation Models." Case Western Reserve University School of Graduate Studies / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=case1597879378514956.

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36

Hu, Shuangwei. "Dynamics of Discrete Curves with Applications to Protein Structure." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-199987.

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In order to perform a specific function, a protein needs to fold into the proper structure. Prediction the protein structure from its amino acid sequence has still been unsolved problem. The main focus of this thesis is to develop new approach on the protein structure modeling by means of differential geometry and integrable theory. The start point is to simplify a protein backbone as a piecewise linear polygonal chain, with vertices recognized as the central alpha carbons of the amino acids. Frenet frame and equations from differential geometry are used to describe the geometric shape of the
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37

Falzon, Christopher. "Pattern solver for the static and dynamic analysis of framework models /." [Hong Kong : University of Hong Kong], 1985. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12315588.

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38

Soucy, Michelle D. "A factor analytic investigation of the dynamics of autism, a structural equation model of diagnostic symptoms." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape10/PQDD_0031/NQ38508.pdf.

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Duarte, Maria Lucia Machado. "Experimentally-derived structural models for use in further dynamic analysis." Thesis, Imperial College London, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338659.

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40

Zheng, Liying. "Operating Room Version of Safety Attitudes Questionnaire – An Analysis Using Structural Equation Models." Thesis, Uppsala universitet, Statistiska institutionen, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-175920.

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41

Legare, Jonathan Charles. "Study of Structural Equation Models and their Application to Fitchburg Middle School Data." Digital WPI, 2009. https://digitalcommons.wpi.edu/etd-theses/101.

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Structural equation models combine factor analysis models and multivariate regression models to estimate associations between observed variables and unobserved variables. The main achievement of this Capstone Project is the understanding of structural equation models and application of the models to real-world data. In this report, we reviewed structural equation models and several prerequisite topics. We performed a simulation study to compare maximum likelihood structural equation model estimation versus two-stage sequential estimation using multiple linear regression and maximum likelihood
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42

Cheevatanarak, Suchittra. "A Comparison of Multivariate Normal and Elliptical Estimation Methods in Structural Equation Models." Thesis, University of North Texas, 1999. https://digital.library.unt.edu/ark:/67531/metadc278401/.

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In the present study, parameter estimates, standard errors and chi-square statistics were compared using normal and elliptical estimation methods given three research conditions: population data contamination (10%, 20%, and 30%), sample size (100, 400, and 1000), and kurtosis (kappa =1,10, 20).
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Roithmayr, Carlos. "Relating constrained motion to force through Newton's second law." Diss., Available online, Georgia Institute of Technology, 2007, 2007. http://etd.gatech.edu/theses/available/etd-03302007-125659/.

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Thesis (Ph. D.)--Aerospace Engineering, Georgia Institute of Technology, 2007.<br>Bauchau, Olivier, Committee Member ; Hodges, Dewey, Committee Chair ; Singhose, William, Committee Member ; Costello, Mark, Committee Member ; Flannery, Raymond, Committee Member.
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McKenzie, Kirsten. "Exploring first year academic success through structural equation modelling." Thesis, Queensland University of Technology, 2002. https://eprints.qut.edu.au/36788/2/36788_Digitised%20Thesis.pdf.

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Foliente, Greg C. "Stochastic dynamic response of wood structural systems." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-05042006-164535/.

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46

Rydström, Sara. "Regularization of Parameter Problems for Dynamic Beam Models." Licentiate thesis, Växjö University, School of Mathematics and Systems Engineering, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-7367.

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<p>The field of inverse problems is an area in applied mathematics that is of great importance in several scientific and industrial applications. Since an inverse problem is typically founded on non-linear and ill-posed models it is a very difficult problem to solve. To find a regularized solution it is crucial to have <em>a priori</em> information about the solution. Therefore, general theories are not sufficient considering new applications.</p><p>In this thesis we consider the inverse problem to determine the beam bending stiffness from measurements of the transverse dynamic displacement. O
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47

Pan, Fan. "Influencing Factors on the Health of Chinese Elderly - An Analysis using Structural Equation Models." Thesis, Uppsala universitet, Statistiska institutionen, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-175909.

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Population aging has been an increasing in many societies during the last century, andespecially in China this issue has become one of the most urgent social phenomenonin the recent twenty years. Meanwhile, being healthy matters to the senior populationthe most. The main purpose of this paper is to investigate how to measure Chineseelderly health condition, and what the main factors are influencing their health. Thedata of this paper is from the China Health and Retirement Longitudinal Study(CHARLS). A structural equation model(SEM) was established to verify therelationship between different i
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48

Consolini, Laura. "Structural glass between design, tests and models." Doctoral thesis, Università Politecnica delle Marche, 2011. http://hdl.handle.net/11566/241923.

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La ricerca svolta si è configurata come indagine sul vetro strutturale. Il vetro è un materiale nuovo nel campo dei materiali strutturali, in quanto fino a poco tempo fa veniva utilizzato solo in finestrature e/o facciate continue. Invece negli ultimi anni si è visto che il vetro è sempre più utilizzato per parti direttamente strutturali, quali pavimentazioni, scale, balaustre, pensiline, coperture, ecc. In questi casi il vetro deve comportarsi come un materiale da costruzione a tutti gli effetti, quale il calcestruzzo armato o l'acciaio. Guardandolo da questo punto di vista, si vede co
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49

Habib, Abdulrahman. "A Smart Tale: An Examination of the Smart City Phenomena through the Lens of a Case Study." Thesis, University of North Texas, 2019. https://digital.library.unt.edu/ark:/67531/metadc1538676/.

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This dissertation addresses research questions related to defining a smart city and the associated activities. The general research question is explored in the dissertation via the conduct of three related studies. The finding from these three investigations are presented in the results section as 3 essays that collectively examine the smart city phenomena as it has emerged within the City. Essay 1 assesses building municipal open data capability. The study proposed an Opendata Roadmap Framework to enhance the organization's dynamic capability. The results provide a valuable practical framewo
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VACCA, GIANMARCO. "Redundancy Analysis Models with Categorical Endogenous Variables: New Estimation Techniques Based on Vector GLM and Artificial Neural Networks." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2017. http://hdl.handle.net/10281/158304.

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I modelli ad equazioni strutturali con variabili latenti hanno subito un notevole sviluppo negli ultimi anni. Partendo dai pionieri delle due macro-definizioni di modelli con variabili latenti, Covariance Structure Analysis e Component Analysis, con LISREL e PLS-PM come le tecniche più importanti, diverse estensioni e miglioramenti sono stati proposti. Inoltre, per i modelli di analisi di ridondanza, che fanno parte della Component Analysis, ma hanno solo variabili endogene osservate, sono stati proposti nuovi metodi in letteratura per affrontare più di un gruppo di variabili osservate esogene
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