Holdings: Structural equation modeling with AMOS

Structural equation modeling with AMOS: basic concepts, applications, and programming

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Bibliographic Details
Main Author:	Byrne, Barbara M. 1935- (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Psychology Press 2010
Edition:	2. ed., reprint.
Series:	Multivariate applications series
Subjects:	Strukturgleichungsmodell AMOS > Software AMOS > Programm
Online Access:	Inhaltsverzeichnis Klappentext
Physical Description:	XVIII, 396 S. Ill., graph. Darst.
ISBN:	9780805863727 9780805863734

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Record in the Search Index

_version_	1804143085094961152
adam_text	This ... much anticipated and timely updating of the widely read first edition ... is characterized by the same strengths... including the thorough and accessibh presentation of a comprehensive range of topics based on real empirical data. Dr. Byrne s book is indispensable to any applied researcher using these techniques in practice. - Patrick Curran, University of North Carolina, USA This second edition [is] a must have for dearly understandable input and examples on applying structural equation modeling with AMOS. Barbara Byrne has most certainly written another bestseller. - lisa Hartów, University of Rhode Island, USA Dr. Byrne s first edfflon ... was a model of clarity, wtitten spedñcaffy tor beginners. This new edШoпcoпtirнжrюrtпxйtioпЫexttšoпcű.m-Boijim An indispensable text [that] will prove to be an excellent resource for students, researchers, and academics. m~ Jan Bogg, University of Liverpool, UK This bestseüng text provides a practical guide to the basic concepts of structural equation modeling (SEM) and the AMOS program (versions 17 & 18). The author reviews SEM applications based on actual data taken from her research. Noted for its norwnathematicał language, this book is written for the novtee SEM user. WHh each chapter, the author walks1· the reader through ай steps involved in testing the SEM model including: • An explanation of the Issues addressed • An (lustration of the hypothesized and posthoc models tested • AMOS input and output with accompanying interprétation and explanation • The function of the AMOS toołbar icons and their related puM-down menus • The data and published reference upon which the model was based Ї1ПЦ ____ BAA/ n».Éi młliil.l lilnlillritift« иЙ tłi ■ шштшшг «іВМііи 111 rb--— - wilii overom« new тешпец rwgnegnu or me new еолюп псма·: • Ай new screen shots featuring Version 17 of the AMOS program • AH data tues now available at wwmpaypreea.com/seiii wltli шіюе • Application of a multitirt-mulffirneM «dar model based on categorical data • All applications based on the most commonly used graphical interface • The automated mufti-group approach to testing for equivalence The book opens with an introduction to the fundamental сслсе^ Ы ЅШ аікі ír» basics of the AMOS program. The next 3 sections present applications that focus on single-group, multiple-group, and n^mrtraJtHnultknethod and latent growth curve models. The book concludes with a discussion about псгиюгтаї and missing Oncomplete) data and two appfr?yflnne ^ЗРрвЬЦ °f arifh—ing thean ілттл Intended for researchers, practitioners, arid students wto use ЅШ ano AMOS in their work, this book is an ideal resource for graduate level courses on ЅШ taught In departments of psychology, education, business, and other social and health sciences ancVor as a supplement in courses on applied statistics, nwltkariate statistics, statists ^ or advanced statistics, and/or research design. Appropriate for those with Hmrted or no previous exposure to SEM, a prerequisite of basic statistics through regreaiton analysis is recommended. Contents Preface ................................................................................................................xv Acknowledgments ..........................................................................................xix Section I: Introduction Chapter 1 Structural equation models: The basics .................................3 Basic concepts .....................................................................................................4 Latent versus observed variables ................................................................4 Exogenous versus endogenous latent variables ........................................5 The factor analytic model .............................................................................5 The full latent variable model .....................................................................6 General purpose and process of statistical modeling ..............................7 The general structural equation model ..........................................................9 Symbol notation .............................................................................................9 The path diagram ..........................................................................................9 Structural equations ...................................................................................11 Nonvisible components of a model ..........................................................12 Basic composition ........................................................................................12 The formulation of covariance and mean structures .............................14 Endnotes............................................................................................................15 Chapter 2 Using the AMOS program ......................................................17 Working with AMOS Graphics: Example 1..................................................18 Initiating AMOS Graphics .........................................................................18 AMOS modeling tools ................................................................................18 The hypothesized model ............................................................................22 Drawing the path diagram ........................................................................23 Understanding the basic components of model 1..................................31 The concept of model identification .........................................................33 Working with AMOS Graphics: Example 2..................................................35 The hypothesized model ............................................................................35 viii Contents Drawing the path diagram ........................................................................38 Working with AMOS Graphics: Example 3..................................................41 The hypothesized model ............................................................................42 Drawing the path diagram ........................................................................45 Endnotes............................................................................................................49 Section II: Applications in single-group analyses Chapter 3 Testing for the factorial validity of a theoretical construct (First-order CFA model) ....................53 The hypothesized model .................................................................................53 Hypothesis 1: Self-concept is a four-factor structure ..................................54 Modeling with AMOS Graphics ....................................................................56 Model specification .....................................................................................56 Data specification ........................................................................................60 Calculation of estimates .............................................................................62 AMOS text output: Hypothesized four-factor model ............................64 Model summary ..........................................................................................65 Model variables and parameters ...............................................................65 Model evaluation .........................................................................................66 Parameter estimates ....................................................................................67 Feasibility of parameter estimates ..................................................67 Appropriateness of standard errors ................................................67 Statistical significance of parameter estimates ..............................68 Model as a whole .........................................................................................68 The model-fitting process .................................................................70 The issue of statistical significance .................................................71 The estimation process .....................................................................73 Goodness-of-fit statistics ...................................................................73 Model misspecification ...............................................................................84 Residuals .....................................................·.......................................85 Modification indices ..........................................................................86 Post hoc analyses ..............................................................................................89 Hypothesis 2: Self-concept is a two-factor structure ..................................91 Selected AMOS text output: Hypothesized two-factor model .............93 Hypothesis 3: Self-concept is a one-factor structure ...................................93 Endnotes............................................................................................................95 Chapter 4 Testing for the factorial validity of scores from a measuring instrument (First-order CFA model) ...........................................................97 The measuring instrument under study ......................................................98 The hypothesized model .................................................................................98 Contents ix Modeling with AMOS Graphics ....................................................................98 Selected AMOS output: The hypothesized model ...............................102 Model summary ..............................................................................102 Assessment of normality ................................................................102 Assessment of multivariate outliers ..............................................105 Model evaluation .......................................................................................106 Goodness-of-fit summary ..............................................................106 Modification indices ........................................................................108 Post hoc analyses ............................................................................................. Ill Model 2............................................................................................................. Ill Selected AMOS output: Model 2..............................................................114 Model 3.............................................................................................................114 Selected AMOS output: Model 3..............................................................114 Model 4.............................................................................................................118 Selected AMOS output: Model 4..............................................................118 Comparison with robust analyses based on the Satorra-Bentler scaled statistic .................................................................125 Endnotes..........................................................................................................127 Chapter 5 Testing for the factorial validity of scores from a measuring instrument (Second-order CFA model) ..........129 The hypothesized model ...............................................................................130 Modeling with AMOS Graphics ..................................................................130 Selected AMOS output: Preliminary model .........................................134 Selected AMOS output: The hypothesized model ...............................137 Model evaluation .......................................................................................140 Goodness-of-fit summary ..............................................................140 Model maximum likelihood (ML) estimates ................................141 Estimation of continuous versus categorical variables .............................143 Categorical variables analyzed as continuous variables .....................148 The issues ...................................................................................................148 Categorical variables analyzed as categorical variables ......................149 The theory .........................................................................................149 The assumptions ..............................................................................150 General analytic strategies .............................................................150 The AMOS approach to analysis of categorical variables ........................151 What is Bayesian estimation? ..................................................................151 Application of Bayesian estimation ........................................................152 Chapter 6 Testing for the validity of a causal structure ....................161 The hypothesized model ................................................................................161 Modeling with AMOS Graphics ...................................................................162 χ Contents Formulation of indicator variables .........................................................163 Confirmatory factor analyses ..................................................................164 Selected AMOS output: Hypothesized model .......................................174 Model assessment ......................................................................................176 Goodness-of-fit summary ...............................................................176 Modification indices .................................................................................177 Post Hoc analyses ...........................................................................................178 Selected AMOS output: Model 2.............................................................178 Model assessment .....................................................................................178 Goodness-of-fit summary ..............................................................178 Modification indices ........................................................................179 Selected AMOS output: Model 3.............................................................180 Model assessment ............................................................................180 Modification indices ........................................................................180 Selected AMOS output: Model 4.............................................................181 Model Assessment ...........................................................................181 Modification indices ........................................................................181 Selected AMOS output: Model 5 assessment ........................................182 Goodness-of-fit summary ..............................................................182 Modification indices ........................................................................182 Selected AMOS output: Model 6.............................................................182 Model assessment ............................................................................182 The issue of model parsimony .......................................................183 Selected AMOS output: Model 7 (final model) .....................................186 Model assessment ............................................................................186 Parameter estimates ........................................................................187 Endnotes..........................................................................................................194 Section III: Applications in multiple-group analyses Chapter 7 Testing for the factorial equivalence of scores from a measuring instrument (First-order CFA model) .........................................................197 Testing for multigroup invariance: The general notion ...........................198 The testing strategy ...................................................................................199 The hypothesized model ...............................................................................200 Establishing baseline models: The general notion ...............................200 Establishing the baseline models: Elementary and secondary teachers ....................................................................................202 Modeling with AMOS Graphics ..................................................................205 Testing for multigroup invariance: The configurai model ......................208 Contents xi Selected AMOS output: The configurai model (No equality constraints imposed) .........................................................209 Model assessment .....................................................................................212 Testing for measurement and structural invariance: The specification process .................................................................................213 The manual multiple-group approach ..........................................214 The automated multiple-group approach ....................................217 Testing for measurement and structural invariance: Model assessment .....................................................................................221 Testing for multigroup invariance: The measurement model .................221 Model assessment .....................................................................................222 Testing for multigroup invariance: The structural model .......................228 Endnotes..........................................................................................................230 Chapter 8 Testing for the equivalence of latent mean structures (First-order CFA model) ..........................231 Basic concepts underlying tests of latent mean structures ......................231 Estimation of latent variable means .......................................................233 Model identification ........................................................................233 Factor identification .........................................................................234 The hypothesized model ...............................................................................234 The baseline models .................................................................................236 Modeling with AMOS Graphics ..................................................................238 The structured means model ..................................................................238 Testing for latent mean differences .............................................................238 The hypothesized multigroup model ....................................................238 Steps in the testing process ......................................................................238 Testing for configurai invariance.................................................. 239 Testing for measurement invariance ............................................239 Testing for latent mean differences ...............................................243 Selected AMOS output: Model summary .............................................247 Selected AMOS output: Goodness-of-fit statistics ................................250 Selected AMOS output: Parameter estimates .......................................250 High-track students .........................................................................250 Low-track students ..........................................................................254 Endnotes..........................................................................................................256 Chapter 9 Testing for the equivalence of a causal structure .............257 Cross-validation in covariance structure modeling .................................257 Testing for invariance across calibration and validation samples ..........259 The hypothesized model ..........................................................................260 Establishing a baseline model .................................................................262 xii Contents Modeling with AMOS Graphics ..................................................................266 Testing for the invariance of causal structure using the automated approach .................................................................................266 Selected AMOS output: Goodness-of-fit statistics for comparative tests of multigroup invariance .........................................269 The traditional χ2 difference approach ...................................................269 The practical CFI difference approach ...................................................271 Section IV: Other important applications Chapter 10 Testing for construct validity: The multitrait-multimethod model ...................................275 The general CFA approach to MTMM analyses ........................................276 Model 1: Correlated traits/correlated methods .....................................278 Model 2: No traits/correlated methods ..................................................285 Model 3: Perfectly correlated traits/freely correlated methods ...................................................................................287 Model 4: Freely correlated traits/uncorrelated methods .....................288 Testing for evidence of convergent and discriminant validity: MTMM matrix-level analyses ......................................................................288 Comparison of models .............................................................................288 Evidence of convergent validity ..............................................................288 Evidence of discriminant validity ..........................................................290 Testing for evidence of convergent and discriminant validity: MTMM parameter-level analyses ................................................................291 Examination of parameters ......................................................................291 Evidence of convergent validity ..............................................................292 Evidence of discriminant validity ..........................................................294 The correlated uniqueness approach to MTMM analyses .......................294 Model 5: Correlated uniqueness model .................................................297 Endnotes..........................................................................................................301 Chapter 11 Testing for change over time: The latent growth curve model ............................................................................303 Measuring change in individual growth over time: The general notion .........................................................................................304 The hypothesized dual-domain LGC model .............................................305 Modeling intraindividual change ...........................................................305 Modeling interindividual differences in change ..................................308 Testing latent growth curve models: A dual-domain model ..................309 The hypothesized model ..........................................................................309 Selected AMOS output: Hypothesized model .......................................314 Contents xiii Testing latent growth curve models: Gender as a time-invariant predictor of change ........................................................................................320 Endnotes..........................................................................................................325 Section V: Other important topics Chapter 12 Bootstrapping as an aid to nonnormal data .......................................................................329 Basic principles underlying the bootstrap procedure ........................................................................................................331 Benefits and limitations of the bootstrap procedure ....................................................................................................332 Caveats regarding the use of bootstrapping in SEM.........................................................................................................333 Modeling with AMOS Graphics ..................................................................334 The hypothesized model ..........................................................................334 Characteristics of the sample ...................................................................336 Applying the bootstrap procedure .........................................................336 Selected AMOS output ..................................................................................337 Parameter summary .................................................................................337 Assessment of normality ..........................................................................339 Statistical evidence of nonnormality ............................................340 Statistical evidence of outliers .......................................................340 Parameter estimates and standard errors ..............................................342 Sample ML estimates and standard errors ..................................342 Bootstrap ML standard errors .......................................................342 Bootstrap bias-corrected confidence intervals .............................................................................................351 Endnote............................................................................................................352 Chapter 13 Addressing the issue of missing data .............................................................................................353 Basic patterns of incomplete data ................................................................354 Common approaches to handling incomplete data ..................................355 Listwise deletion .......................................................................................355 Pairwise deletion .......................................................................................356 Single imputation ......................................................................................356 The AMOS approach to handling missing data ...................................358 Modeling with AMOS Graphics ..................................................................359 The hypothesized model ..........................................................................359 Selected AMOS output: Parameter and model summary information ................................................................................................361 xiv Contents Selected AMOS output: Parameter estimates .......................................363 Selected AMOS output: Goodness-of-fit statistics ................................364 Endnote............................................................................................................365 References .......................................................................................................367 Author Index ...................................................................................................385 Subject Index ...................................................................................................391
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discipline	Informatik Psychologie Mathematik Wirtschaftswissenschaften Sprachwissenschaften
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series2	Multivariate applications series
spelling	Byrne, Barbara M. 1935- Verfasser (DE-588)111905303 aut Structural equation modeling with AMOS basic concepts, applications, and programming Barbara M. Byrne 2. ed., reprint. New York [u.a.] Psychology Press 2010 XVIII, 396 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Multivariate applications series Strukturgleichungsmodell (DE-588)4252999-2 gnd rswk-swf AMOS Software (DE-588)7696404-8 gnd rswk-swf AMOS Programm (DE-588)4233950-9 gnd rswk-swf AMOS Programm (DE-588)4233950-9 s Strukturgleichungsmodell (DE-588)4252999-2 s DE-604 AMOS Software (DE-588)7696404-8 s 1\p DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020437655&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020437655&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Byrne, Barbara M. 1935- Structural equation modeling with AMOS basic concepts, applications, and programming Strukturgleichungsmodell (DE-588)4252999-2 gnd AMOS Software (DE-588)7696404-8 gnd AMOS Programm (DE-588)4233950-9 gnd
subject_GND	(DE-588)4252999-2 (DE-588)7696404-8 (DE-588)4233950-9
title	Structural equation modeling with AMOS basic concepts, applications, and programming
title_auth	Structural equation modeling with AMOS basic concepts, applications, and programming
title_exact_search	Structural equation modeling with AMOS basic concepts, applications, and programming
title_full	Structural equation modeling with AMOS basic concepts, applications, and programming Barbara M. Byrne
title_fullStr	Structural equation modeling with AMOS basic concepts, applications, and programming Barbara M. Byrne
title_full_unstemmed	Structural equation modeling with AMOS basic concepts, applications, and programming Barbara M. Byrne
title_short	Structural equation modeling with AMOS
title_sort	structural equation modeling with amos basic concepts applications and programming
title_sub	basic concepts, applications, and programming
topic	Strukturgleichungsmodell (DE-588)4252999-2 gnd AMOS Software (DE-588)7696404-8 gnd AMOS Programm (DE-588)4233950-9 gnd
topic_facet	Strukturgleichungsmodell AMOS Software AMOS Programm
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020437655&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020437655&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT byrnebarbaram structuralequationmodelingwithamosbasicconceptsapplicationsandprogramming

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