Bayesian Structural Equation Modeling

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This book offers researchers a systematic, accessible introduction to using a Bayesian framework in SEM. Chapters on each SEM model explain the Bayesian form of the model and walk readers through implementation.

This book offers researchers a systematic and accessible introduction to using a Bayesian framework in structural equation modeling (SEM). Stand-alone chapters on each SEM model clearly explain the Bayesian form of the model and walk the reader through implementation. Engaging worked-through examples from diverse social science subfields illustrate the various modeling techniques, highlighting statistical or estimation problems that are likely to arise and describing potential solutions. For each model, instructions are provided for writing up findings for publication, including annotated sample data analysis plans and results sections. Other user-friendly features in every chapter include "Major Take-Home Points," notation glossaries, annotated suggestions for further reading, and sample code in both Mplus and R. The companion website (www.guilford.com/depaoli-materials) supplies data sets; annotated code for implementation in both Mplus and R, so that users can work within their preferred platform; and output for all of the book’s examples.

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□G□e□t□t□i□n□g□ □S□t□a□r□t□e□d□ □w□i□t□h□ □R□<□B□R□ □/□>□ □I□I□.□ □M□e□a□s□u□r□e□m□e□n□t□ □M□o□d□e□l□s□ □a□n□d□ □R□e□l□a□t□e□d□ □I□s□s□u□e□s□<□B□R□ □/□>□ □3□.□ □T□h□e□ □C□o□n□f□i□r□m□a□t□o□r□y□ □F□a□c□t□o□r□ □A□n□a□l□y□s□i□s□ □M□o□d□e□l□<□B□R□ □/□>□ □3□.□1□.□ □I□n□t□r□o□d□u□c□t□i□o□n□ □t□o□ □B□a□y□e□s□i□a□n□ □C□F□A□<□B□R□ □/□>□ □3□.□2□.□ □T□h□e□ □M□o□d□e□l□ □a□n□d□ □N□o□t□a□t□i□o□n□<□B□R□ □/□>□ □3□.□2□.□1□.□ □H□a□n□d□l□i□n□g□ □I□n□d□e□t□e□r□m□i□n□a□c□i□e□s□ □i□n□ □C□F□A□<□B□R□ □/□>□ □3□.□3□.□ □T□h□e□ □B□a□y□e□s□i□a□n□ □F□o□r□m□ □o□f□ □t□h□e□ □C□F□A□ □M□o□d□e□l□<□B□R□ □/□>□ □3□.□3□.□1□.□ □A□d□d□i□t□i□o□n□a□l□ □I□n□f□o□r□m□a□t□i□o□n□ □a□b□o□u□t□ □t□h□e□ □(□I□n□v□e□r□s□e□)□ □W□i□s□h□a□r□t□ □P□r□i□o□r□<□B□R□ □/□>□ □3□.□3□.□2□.□ □A□l□t□e□r□n□a□t□i□v□e□ □P□r□i□o□r□s□ □f□o□r□ □C□o□v□a□r□i□a□n□c□e□ □M□a□t□r□i□c□e□s□<□B□R□ □/□>□ □3□.□3□.□3□.□ □A□l□t□e□r□n□a□t□i□v□e□ □P□r□i□o□r□s□ □f□o□r□ □V□a□r□i□a□n□c□e□s□<□B□R□ □/□>□ □3□.□3□.□4□.□ □A□l□t□e□r□n□a□t□i□v□e□ □P□r□i□o□r□s□ □f□o□r□ □F□a□c□t□o□r□ 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