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Structural Equation Modeling Method (SEM) and its Applications in Educational Administration
Researches
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www.dryasserhendawy.jeeran.com
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Structural Equation Modeling Method (SEM) and its Applications in Educational Administration Researches
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)( : Physical Models -
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Schematic -
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Descriptive -
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Symbolic -
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SEM
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Computerized
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Schumacker and Lomax, 2004 )( :
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Karl Pearson 1986
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Charles Spearman, 1904,1927
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Lawley and Thurstone 1940 ) (
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Lawley,1958 Anderson and Rubin,1956 Howe,1955
Karl Joreskog
1969 1963
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Sewell Wright,1918,1921,1924 .
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David Ward Keesling,1972 Joreskog,1973
Wiley )JKW( - - ( Linear Structional Relation
LISREL ( ( 1973 LISREL Software ( Joreskog and van Thillo
A Matrix Command Language.
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) ( SIMPLIS
Path )( Diagram
festschrift Cudeck et al 2001
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Hersberger,2003
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Journal of Structional Equation Modeling
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SEM
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Model -
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Structural Equation Model - Pattern "
)(" Path Diagram
General Linear Model )(.
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)Constructs ( " Unmeasured variables )("
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. Constructs
Hypothetical Constructs Unobserved Factors
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. Indicators
observed Measurable
Items ...
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Exogenous Variables
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Endogenous Variables
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Direct Effect .
Indirect Effect .
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Measurement Model - ) (
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Structure Model - ) (
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. Regression Models - . Path Models - . Factor Models - Multiple Causes-Multiple - -
Indicators Models . . Multitrait-Multimethode Models - . Multiple Group Models - . Multilevel Models - . Mixture Models - .Interaction Models - .Latent Growth Curve Models - . Dynamic Models - SEM
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Regression Models -
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Path Models -
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Confirmatory Factor Models -
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Generating Confirmatory (
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SEM Language -
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Goodness of Fit Indices - Fitness
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).GFI )Goodness of Fit Index -
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).AGFI )Adjusted Goodness of Fit Index - ).RFI )Relative Fit Index - ).CFI )Comparative Fit Index - ).NFI )Normative Fit Index -
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(Root Mean Square Error of Approximation (RMSEA ) (Root Mean Square Residuals (RMR
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Modification Indices -
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LISREL .
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Student( Version( . :
AMOS EQS LISREL
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LISREL Karl Joreskog and Dag
Sorbom Uppsala University : Scientific Software International
7383 N. Lincoln Ave., Suite 100, Lincolnwood, IL 60712-1704 Telephone: 847/675-0720 Fax: 847/675-2140 E-mail: [email protected] Internet: http://www. ssiceentral.com
Amos James Arbu .
Temple University SmallWatters SPSS -
: - SPSS 1507 E. 53rd Street., Suite 542, Chicago, IL 40516. Telephone: 773/667-8653 Fax: 773/955-6552 E-mail: [email protected] Internet: http://www. smallwaters.com
EQS Peter M. Bentler .
University of California, Los Angeles Multivariate Software.inc. :
15720 Ventura Blvd., Suite 306, Encino, CA 91436-2989 Telephone: 818/906-0740 Fax: 818/906-8205 E-mail: [email protected] Internet: http://www. mvsoft.com
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(SEM) (Byrne (1998 )( :
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Data .
Model .
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Goodness-of-Fit
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Chi-square :
Comparative (Goodness of Fit Index (GFI Fit Index (CFI) Adjusted Goodness of Fit Index
(AGFI) Root Mean Square Error of Approximation (RMSEA) Root Mean Square
Residuals (RMR) .
GFI CFI AGFI
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RMR Average
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RMSEA = .00 RMR = .00
GFI = 0.999 AGFI = 0.997
CFI = 1.00
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Strictly confirmatory
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df RMSEA RMR GFICFI AGFI
0.67 0.750.78 0.085 0.093 420 1250
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df RMSEA RMR GFICFI AGFI
1250 420 0.93 0.085 0.750.78 0.67
407 460 0.023 0.049 0.978 0.991 0.971
Revised
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(2) Hershberger Scott L., et al, Structural Equation Modeling: an introduction, in Pugesek Bruce, H. et al., (Eds) Structural Equation Modeling: Applications in Ecological and Evolutionary Biology, (New York: Cambridge University Press, 2003), p.3.
: () . - - ). .: ( : -
.- (4) Schumacker, Randall E. and Lomax, Richard G., A Beginners guide to Structural Equation Modeling, (London: Lawrence Erlbaum associates, publishers, 2004), pp.7-8. (5) Maccallum, Robert C. and Austin, James T., "Applications of Structural Equation Modeling In Psychological Research", Annual Review of Psychology, Vol.51, 2000, P.202. (6) Tomarken1, Andrew J. and Waller, Niels G., "Structural Equation Modeling: Strengths, Limitations and Misconceptions", Annual Review of Clinical Psychology, Vol.1, No.1, 2005, P.35. (7) Hershberger Scott L., et al, Op.Cit P.3. (8) http://www.utexas.edu/its/rc/tutorials/stat/amos/ (9) Maccallum, Robert C. and Austin, James T., "Op.Cit., P.202. (10) Hoyle, R.H., Structural Equation Modeling: Concepts, Issues and Applications, (New York: Sage Publications, 1995), P.1. (11) Hox, J.J, An Introduction to Structional Equation Modeling, Family Science Review, Vol. 11,1998, p.354. (12) Schumacker, Randall E. and Lomax, Richard G., Op.Cit , p.2-3. (13) Op.Cit, pp.4-6.
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(16) Maccallum, Robert C. and Austin, James T., Op.Cit, P.202. (17) http://www2.chass.ncsu.edu/garson/pa765/structure.htm#sem. (18) Hershberger Scott L., et al, Op.Cit, P.4. (19) Op.Cit., p.4.. (20) Bollen A. Kenneth, Latent Variable in Psychology and Social Science, Annual Review of Psychology, Vol.53, 2002, P.607. (21) Hershberger Scott L., et al, Op.Cit., p.4. (22) Op.Cit , P.. (23) http://www2.chass.ncsu.edu/garson/pa765/structure.htm#sem. (24) http://www2.chass.ncsu.edu/garson/pa765/structure.htm#sem. (25) Schumacker, Randall E. and Lomax, Richard G., Op.Cit , p.4. (26) Op.Cit , p.4.
: () .
(28) Schumacker, Randall E. and Lomax, Richard G., Op.Cit , p.4.
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(30) Hershberger Scott L., et al, Op.Cit., p.4. : ()
- Hox, J.J, Op.Cit, p.361 - http://www2.chass.ncsu.edu/garson/pa765/structur.htm
(32) Hox, J.J, Op.Cit, pp.361-362. (33) http://www2.chass.ncsu.edu/garson/pa765/structur.htm (34) Byrne, B.M., Structural Equation Modeling with Lisrel, Prelis and Simplis: Basic Concepts, Applications and Programming, (New Jersey: Lawrence Erlbaum Associates, 1998), P.3. (35) Op.Cit, P.7-8. (36) Op.Cit. , p.9. (37) Op.Cit. , pp.112-116.
: ()- Loretta Au, et al, Using a Structural Equation Modeling Approach (SEM) to Examine
Leadership of Heads of Subject Departments (HODs) as perceived by Principals and Vice-Principals, Heads of Subject Departments and Teachers Within School Based management (SBM) Secondary Schools: some evidence from Hong Kong, School Leadership & Management, Vol. 23, No. 4, 2003, pp-485-497.
- http://www.utexas.edu/its/rc/tutorials/stat/amos/