A Note on Structural Equation Modeling Estimates of Reliability

REFERENCES

• Bentler , P. 2009 . Alpha, dimension-free, and model-based internal consistency reliability . Psychometrika , 74 : 137 – 143 .
   PubMed Web of Science ®Google Scholar
• Bollen , K. A. 1989 . Structural equations with latent variables , New York : Wiley .
   Google Scholar
• Brunner , M. and Süb , H. M. 2005 . Analyzing the reliability of multidimensional measures: An example from intelligence research . Educational and Psychological Measurement , 65 : 227 – 240 .
   Web of Science ®Google Scholar
• Cortina , J. M. 1993 . What is coefficient alpha? An examination of theory and applications . Journal of Applied Psychology , 78 : 98 – 104 .
   Web of Science ®Google Scholar
• Fan , X. , Felsõvályi , Á. , Sivo , S. A. and Keenan , S. 2003 . SAS for Monte Carlo studies: A guide for quantitative researchers , Cary, NC : SAS Institute .
   Google Scholar
• Fan , X. , Thompson , B. and Wang , L. 1999 . Effects of sample size, estimation methods, and model specification on structural equation modeling fit indexes . Structural Equation Modeling , 6 : 56 – 83 .
   Web of Science ®Google Scholar
• Fleishman , J. and Benson , J. 1987 . Using LISREL to evaluate measurement models and scale reliability . Educational and Psychological Measurement , 47 : 925 – 939 .
   Web of Science ®Google Scholar
• Green , S. B. , Akey , T. M. , Fleming , K. K. , Hershberger , S. L. and Marquis , J. G. 1997 . Effect of the number of scale points on chi-square fit indices in confirmatory factor analysis . Structural Equation Modeling , 4 : 108 – 120 .
   Web of Science ®Google Scholar
• Green , S. B. and Hershberger , S. L. 2000 . Correlated errors in true score models and their effect on coefficient alpha . Structural Equation Modeling , 7 : 251 – 270 .
   Web of Science ®Google Scholar
• Green , S. B. and Yang , Y. 2009 . Commentary on coefficient alpha: A cautionary tale . Psychometrika , 74 : 121 – 135 .
   Web of Science ®Google Scholar
• Hogan , T. P. , Benjamin , A. and Brezinski , K. L. 2000 . Reliability methods: A note on the frequency of use of various types . Educational and Psychological Measurement , 60 : 523 – 531 .
   Web of Science ®Google Scholar
• Humphreys , L. G. 1985 . “ General intelligence: An integration of factor, test, and simplex theory ” . In Handbook of intelligence: Theories, measurements, and applications , Edited by: Wolman , B. B. 15 – 35 . New York : Wiley .
   Google Scholar
• Jöreskog , K. G. 1971 . Statistical analysis of sets of congeneric test . Psychometrika , 36 : 109 – 133 .
   Web of Science ®Google Scholar
• Komaroff , E. 1997 . Effect of simultaneous violations of essential τ-equivalence and uncorrelated error on coefficient α . Applied Psychological Measurement , 21 : 337 – 348 .
   Web of Science ®Google Scholar
• Lord , F. M. and Novick , M. R. 1968 . Statistical theories of mental test scores , Reading, MA : Addison-Wesley .
   Google Scholar
• MacCallum , R. C. , Widaman , K. F. , Zhang , S. and Hong , S. 1999 . Sample size in factor analysis . Psychological Methods , 4 : 84 – 99 .
   Web of Science ®Google Scholar
• Maxwell , A. E. 1968 . The effect of correlated errors on estimates of reliability coefficients . Educational and Psychological Measurement , 28 : 803 – 811 .
   Web of Science ®Google Scholar
• McDonald , R. P. 1999 . Test theory: A unified treatment , Mahwah, NJ : Lawrence Erlbaum Associates, Inc. .
   Google Scholar
• Miller , M. B. 1995 . Coefficient alpha: A basic introduction from the perspectives of classical test theory and structural equation modeling . Structural Equation Modeling , 2 : 255 – 273 .
   Web of Science ®Google Scholar
• Novick , M. R. and Lewis , C. 1967 . Coefficient alpha and the reliability of composite measurements . Psychometrika , 32 : 1 – 13 .
   PubMed Web of Science ®Google Scholar
• Raykov , T. 1997a . Estimation of composite reliability for congeneric measures . Applied Psychological Measurement , 21 : 173 – 184 .
   Web of Science ®Google Scholar
• Raykov , T. 1997b . Scale reliability, Cronbach coefficient alpha, and violations of essential tau-equivalence with fixed congeneric components . Multivariate Behavioral Research , 32 : 329 – 353 .
   PubMed Web of Science ®Google Scholar
• Raykov , T. 1998 . Coefficient alpha and composite reliability with interrelated nonhomogeneous items . Applied Psychological Measurement , 22 : 375 – 385 .
   Web of Science ®Google Scholar
• Raykov , T. 2000 . A method for examining stability in reliability . Multivariate Behavioral Research , 34 : 289 – 305 .
   Google Scholar
• Raykov , T. 2001 . Bias of coefficient α for fixed congeneric measures with correlated errors . Applied Psychological Measurement , 25 : 69 – 76 .
   Web of Science ®Google Scholar
• Raykov , T. and Shrout , R. E. 2002 . Reliability of scales with general structure: Point and interval estimation using a structural equation modeling approach . Structural Equation Modeling , 9 : 195 – 212 .
   Web of Science ®Google Scholar
• Reise , S. P. , Waller , N. G. and Comrey , A. L. 2000 . Factor analysis and scale revision . Psychological Assessment , 12 : 287 – 297 .
   PubMed Web of Science ®Google Scholar
• Rindskopf , D. and Rose , T. 1988 . Some theory and applications of confirmatory second-order factor analysis . Multivariate Behavioral Research , 23 : 51 – 67 .
   PubMed Web of Science ®Google Scholar
• Rozeboom , W. W. 1966 . Foundations of the theory of prediction , Homewood, IL : Dorsey .
   Google Scholar
• Rozeboom , W. W. 1989 . The reliability of a linear composite of nonequivalent subtests . Applied Psychological Measurement , 13 : 277 – 283 .
   Google Scholar
• Roznowski , M. , Tucker , L. R. and Humphreys , L. G. 1991 . Three approaches to determining the dimensionality of binary items . Applied Psychological Measurement , 15 : 109 – 127 .
   Google Scholar
• Schmid , J. and Leiman , J. M. 1957 . The development of hierarchical factor solutions . Psychometrika , 22 : 53 – 61 .
   Web of Science ®Google Scholar
• Sijtsma , K. 2009 . On the use, the misuse, and the very limited usefulness of Cronbach's alpha . Psychometrika , 74 : 107 – 120 .
   PubMed Web of Science ®Google Scholar
• Steinberg , L. 2001 . The consequences of pairing questions: Context effects in personality measurement . Journal of Personality and Social Psychology , 81 : 332 – 342 .
   PubMed Web of Science ®Google Scholar
• Steinberg , L. and Thissen , D. 1996 . Uses of item response theory and the testlet concept in the measurement of psychopathology . Psychological Methods , 1 : 81 – 97 .
   Web of Science ®Google Scholar
• Wainer , H. and Kiely , G. L. 1987 . Item clusters and computerized adaptive testing: A case of testlets . Journal of Educational Measurement , 24 : 185 – 201 .
   Web of Science ®Google Scholar
• Yen , W. M. 1993 . Scaling performance assessments: Strategies for managing local item dependence . Journal of Educational Measurement , 30 : 187 – 214 .
   Web of Science ®Google Scholar
• Yung , Y. F. , Thissen , D. and McLeod , L. D. 1999 . On the relationship between the higher-order factor model and the hierarchical factor model . Psychometrika , 64 : 113 – 128 .
   Web of Science ®Google Scholar
• Zimmerman , D. W. , Zumbo , R. D. and Lalonde , C. 1993 . Coefficient alpha as an estimate of test reliability under violation of two assumptions . Educational and Psychological Measurement , 53 : 33 – 49 .
   Web of Science ®Google Scholar