Bifactor Modeling and the Estimation of Model-Based Reliability in the WAIS-IV

REFERENCES

• Akaike , H. 1973 . “ Information theory and an extension of the maximum likelihood principle. ” . In Second international symposium on information theory , Edited by: Petrov , B. N. and Csáki , F. 267 – 281 . Budapest , , Hungary : Akadémiai Kiadó .
   Google Scholar
• Bagby , R. M. , Parker , J. D. A. and Taylor , G. J. 1994 . The twenty-item Toronto Alexithymia Scale: I. Item selection and cross-validation of the factor structure. . Journal of Psychosomatic Research , 38 : 23 – 32 .
   PubMed Web of Science ®Google Scholar
• Benson , N. , Hulac , D. M. and Kranzler , J. H. 2010 . Independent examination of the Wechsler Adult Intelligence Scale–Fourth Edition (WAIS–IV): What does the WAIS–IV measure? . Psychological Assessment , 22 : 121 – 130 .
   PubMed Web of Science ®Google Scholar
• Bentler , P. M. 1990 . Comparative fit indexes in structural models. . Psychological Bulletin , 107 : 238 – 246 .
   PubMed Web of Science ®Google Scholar
• Bentler , P. M. 1995 . EQS structural equations program manual , Encino , CA : Multivariate Software Inc .
   Google Scholar
• Bentler , P. M. 2009 . Alpha, dimension-free, and model-based internal consistency reliability. . Psychometrika , 74 : 137 – 143 .
   PubMed Web of Science ®Google Scholar
• Bowen , N. K. and Guo , S. 2012 . Structural equation modeling , Oxford , , UK : Oxford University Press .
   Google Scholar
• Brunner , M. and Süß , 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
• Canivez , G. L. and Watkins , M. W. 2010 . Investigation of the factor structure of the Wechsler Adult Intelligence Scale—Fourth Edition (WAIS–IV): Exploratory and higher order factor analyses. . Psychological Assessment , 22 : 827 – 836 .
   PubMed Web of Science ®Google Scholar
• Carroll , J. B. 1993 . Human cognitive abilities: A survey of factor-analytic studies , New York , NY : Cambridge University Press .
   Google Scholar
• Chen , F. F. , Hayes , A. , Carver , C. S. , Laurenceau , J. P. and Zhang , Z. 2012 . Modeling general and specific variance in multifaceted constructs: A comparison of the bifactor model to other approaches. . Journal of Personality , 80 : 219 – 251 .
   PubMed Web of Science ®Google Scholar
• Chen , F. F. , West , S. G. and Sousa , K. H. 2006 . A comparison of bifactor and second-order models of quality of life. . Multivariate Behavioral Research , 41 : 189 – 225 .
   PubMed Web of Science ®Google Scholar
• Cortina , J. M. 1993 . What is coefficient alpha? An examination of theory and applications. . Psychological Bulletin , 78 : 98 – 104 .
   Google Scholar
• Costello , A. B. and Osborne , J. W. 2005 . Best practice and exploratory factor analysis: Four recommendations for getting the most out of your data. . Practical Assessment and Evaluation , 10 : 1 – 9 .
   Google Scholar
• Fan , X. 2003 . Using commonly available software for bootstrapping in both substantive and measurement analyses. . Educational and Psychological Measurement , 63 : 24 – 50 .
   Web of Science ®Google Scholar
• Gignac , G. E. 2005 . Revisiting the factor structure of the WAIS-R: Insights through nested factor modeling. . Assessment , 12 : 320 – 329 .
   PubMed Web of Science ®Google Scholar
• Gignac , G. E. 2006a . The WAIS-III as a nested factors model: A useful alternative to the more conventional oblique and higher-order models. . Journal of Individual Differences , 27 : 73 – 86 .
   Google Scholar
• Gignac , G. E. 2006b . A confirmatory factor analytic examination of the factor structure of the Multidimensional Aptitude Battery (MAB): Contrasting oblique, higher-order, and nested factor models. . Educational and Psychological Measurement , 66 : 136 – 145 .
   Web of Science ®Google Scholar
• Gignac , G. E. 2007a . Multi-factor modeling in individual differences research: Some recommendations and suggestions. . Personality and Individual Differences , 42 : 37 – 48 .
   Web of Science ®Google Scholar
• Gignac , G. E. 2007b . Working memory and fluid intelligence are both identical to g?! Reanalyses and critical evaluation. . Psychology Science , 49 : 187 – 207 .
   Google Scholar
• Gignac , G. E. 2008 . Higher-order models versus bifactor modes: g as superordinate or breadth factor? . Psychology Science , 50 : 21 – 43 .
   Google Scholar
• Gignac , G. E. 2010 . Seven-factor model of emotional intelligence as measured by Genos EI: A confirmatory factor analytic investigation based on self- and rater-report data. . European Journal of Psychological Assessment , 26 : 309 – 316 .
   Web of Science ®Google Scholar
• Gignac , G. E. 2013 . Modeling the balanced inventory of desirable responding: Evidence in favour of a revised model of socially desirable responding. . Journal of Personality Assessment , doi: 10.1080/00223891.2013.816717
   PubMed Web of Science ®Google Scholar
• Gignac , G. E. , Bates , T. C. and Jang , K. 2007 . Implications relevant to CFA model misfit, reliability, and the Five Factor Model as measured by the NEO-FFI. . Personality and Individual Differences , 43 : 1051 – 1062 .
   Web of Science ®Google Scholar
• Gignac , G. E. , Palmer , B. and Stough , C. 2007 . A confirmatory factor analytic investigation of the TAS-20: Corroboration of a five-factor model and suggestions for improvement. . Journal of Personality Assessment , 89 : 247 – 257 .
   PubMed Web of Science ®Google Scholar
• Golay , P. and Lecerf , T. 2011 . Orthogonal higher order structure and confirmatory factor analysis of the French Wechsler Adult Intelligence Scale (WAIS-III). . Psychological Assessment , 23 : 143 – 152 .
   PubMed Web of Science ®Google Scholar
• Graham , J. M. 2006 . Congeneric and (essentially) tau-equivalent estimates of score reliability: What they are and how to use them. . Educational and Psychological Measurement , 66 : 930 – 944 .
   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
• Gustafsson , J. E. and Aberg-Bengtsson , L. 2010 . “ Unidimensionality and the interpretability of psychological instruments. ” . In Measuring psychological constructs , Edited by: Embretson , S. E. 97 – 121 . Washington , DC : American Psychological Association .
   Google Scholar
• Gustafsson , J. E. and Balke , G. 1993 . General and specific abilities as predictors of school achievement. . Multivariate Behavioral Research , 28 : 407 – 434 .
   PubMed Web of Science ®Google Scholar
• Holzinger , K. J. and Swineford , R. 1937 . The bifactor method. . Psychometrika , 2 : 41 – 54 .
   Google Scholar
• Hu , L. T. and Bentler , P. M. 1999 . Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. . Structural Equation Modeling , 6 : 1 – 55 .
   Web of Science ®Google Scholar
• Humphreys , L. G. 1962 . The organization of human abilities. . American Psychologist , 17 : 475 – 483 .
   Web of Science ®Google Scholar
• Jackson , D. N. 1998 . Multidimensional Aptitude Battery–II: Manual , Port Huron , MI : Sigma Assessment Systems .
   Google Scholar
• Jager , A. O. , Süß , H.-H. and Beauducel , A. 1997 . Berlin Intelligence Structure–Test, Form 4 , Gottingen , , Germany : Hogrefe .
   Google Scholar
• Jennrich , R. I. and Bentler , P. M. 2011 . Exploratory bi-factor analysis. . Psychometrika , 76 : 537 – 549 .
   PubMed Web of Science ®Google Scholar
• Jöreskog , K. G. 1993 . “ Testing structural equation models. ” . In Testing structural equation models , Edited by: Bollen , K. A. and Long , J. S. 294 – 316 . Newbury Park , CA : Sage .
   Google Scholar
• Jöreskog , K. G. and Sörbom , D. 1989 . LISREL 7: A guide to the program and applications , Chicago , IL : SPSS Publications .
   Google Scholar
• Keith , T. Z. 2005 . “ Using confirmatory factor analysis to aid in understanding the constructs measured by intelligence tests. ” . In Contemporary intellectual assessment: Theories, tests, and issues ( , 2nd ed. , Edited by: Flanagan , D. P. , Genshaft , J. L. and Harrison , P. L. 581 – 614 . New York , NY : Guilford Press .
   Google Scholar
• Lord , F. M. and Novick , M. R. 1968 . Statistical theories of mental test scores , Reading , MA : Addison-Wesley .
   Google Scholar
• Lucke , J. F. 2005 . ) The α and the ω of congeneric test theory: An extension of reliability and internal consistency to heterogeneous tests. . Applied Psychological Measurement , 29 : 65 – 81 .
   Web of Science ®Google Scholar
• MacCallum , R. C. , Browne , M. W. and Sugawara , H. M. 1996 . Power analysis and determination of sample size for covariance structure modeling. . Psychological Methods , 1 : 130 – 149 .
   Web of Science ®Google Scholar
• Mårdberg , B. and Carlstedt , B. 1998 . The Swedish Enlistment Battery (SEB): Construct validity and latent variable estimation of cognitive abilities by CAT-SEB. . International Journal of Selection and Assessment , 6 : 107 – 114 .
   Web of Science ®Google Scholar
• Marsh , H. W. , Balla , J. R. and Hau , K. T. 1996 . “ An evaluation of incremental fit indices: A clarification of mathematical and empirical processes. ” . In Advanced structural equation modeling techniques , Edited by: Marcoulides , G. A. and Schumacker , R. E. 315 – 353 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Marsh , H. W. , Hau , K. T. and Grayson , D. 2005 . “ Goodness of fit in structural equation models. ” . In Contemporary psychometrics: A Festschrift for Roderick P. McDonald , Edited by: Maydeu-Olivares , A. and McArdle , J. J. 225 – 340 . Mahwah , NJ : Erlbaum .
   Google Scholar
• McDonald , R. P. 1985 . Factor analysis and related methods , Hillsdale , NJ : Erlbaum .
   Google Scholar
• McGrew , K. S. 1997 . “ Analysis of the major intelligence batteries according to a proposed comprehensive Gf-Gc framework. ” . In Contemporary intellectual assessment: Theories, tests, and issues ( , 2nd ed. , Edited by: Flanagan , D. P. , Genshaft , J. L. and Harrison , P. L. 151 – 179 . New York , NY : Guilford Press .
   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
• Molenaar , D. , Dolan , C. V. and van der Maas , H. L. J. 2011 . Modeling ability differentiation in the second-order factor model. . Structural Equation Modeling , 18 : 578 – 594 .
   Web of Science ®Google Scholar
• Mulaik , S. A. and Quartetti , D. A. 1997 . First order or higher order general factor? . Structural Equation Modeling , 4 : 193 – 211 .
   Web of Science ®Google Scholar
• Nunnally , J. C. and Bernstein , I. H. 1994 . Psychometric theory , New York , NY : McGraw-Hill .
   Google Scholar
• Peterson , R. A. 1994 . A meta-analysis of Cronbach's coefficient alpha. . Journal of Consumer Research , 21 : 381 – 391 .
   Web of Science ®Google Scholar
• Raftery , A. E. 1995 . Bayesian model selection in social research. . Sociological Methodology , 25 : 111 – 163 .
   Web of Science ®Google Scholar
• Raykov , T. 1997 . Estimation of composite reliability for congeneric measures. . Applied Psychological Measurement , 21 : 173 – 184 .
   Web of Science ®Google Scholar
• Reise , S. P. 2012 . The rediscovery of bifactor measurement models. . Multivariate Behavioral Research , 47 : 667 – 696 .
   PubMed Web of Science ®Google Scholar
• Reise , S. P. , Bonifay , W. E. and Haviland , M. G. 2012 . Scoring and modeling psychological measures in the presence of multidimensionality. . Journal of Personality Assessment , 95 : 129 – 140 .
   PubMed Web of Science ®Google Scholar
• Revelle , W. 2012 . Psych: Procedures for psychological, psychometric, and personality research: R package version 1.1–10. Retrieved from http://personality-project.org/r/psych.manual.pdf
   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
• Roid , G. 2003 . Stanford-Binet Intelligence Scales–Fifth Edition , Itasca , IL : Riverside .
   Google Scholar
• Schmid , J. and Leiman , J. M. 1957 . The development of hierarchical factor solutions. . Psychometrika , 22 : 53 – 61 .
   Web of Science ®Google Scholar
• Schmitt , N. 1996 . Uses and abuses of coefficient alpha. . Psychological Assessment , 8 : 350 – 353 .
   Web of Science ®Google Scholar
• Schwarz , G. 1978 . Estimating the dimension of a model. . The Annals of Statistics , 6 : 461 – 464 .
   Web of Science ®Google Scholar
• Schermelleh-Engel , K. , Moosbrugger , H. and Müller , H. 2003 . Evaluating the fit of structural equation models: Tests of significance and descriptive goodness-of-fit measures. . Methods for Psychological Research Online , 8 : 23 – 74 .
   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
• Sinharay , S. 2010 . How often do subscores have added value? Results from operational and simulated data. . Journal of Educational Measurement , 47 : 150 – 174 .
   Web of Science ®Google Scholar
• Steiger , J. H. and Lind , J. M. Statistically based tests for the number of common factors. Paper presented at the annual meeting of the Psychometric Society . Iowa City , IA .
   Google Scholar
• Thomas , M. L. 2011 . Rewards of bridging the divide between measurement and clinical theory: Demonstration of a bifactor model for the brief symptom inventory. . Psychological Assessment , 24 : 101 – 113 .
   PubMed Web of Science ®Google Scholar
• Tucker , L. R. and Lewis , C. 1973 . A reliability coefficient for maximum likelihood factor analysis. . Psychometrika , 38 : 1 – 10 .
   Web of Science ®Google Scholar
• Tulsky , D. S. , Saklofske , D. H. and Zhu , J. 2003 . “ Revising a standard: An evaluation of the origin and development of the WAIS–III. ” . In Clinical interpretation of the WAIS–III and WMS–III , Edited by: Tulsky , D. S. , Saklofske , D. H. , Chelune , G. J. , Heaton , R. K. , Ivnik , R. J. , Bornstein , R. and Ledbetter , M. F. 43 – 91 . San Diego , CA : Academic Press .
   Google Scholar
• Ward , L. C. , Bergman , M. A. and Hebert , K. R. 2011 . WAIS-IV subtest covariance structure: Conceptual and statistical considerations. . Psychological Assessment , 24 : 328 – 340 .
   PubMed Web of Science ®Google Scholar
• Watkins , M. W. 2010 . Structure of the Wechsler Intelligence Scale for Children–Fourth Edition among a national sample of referred students. . Psychological Assessment , 22 : 782 – 787 .
   PubMed Web of Science ®Google Scholar
• Wechsler , D. 1981 . Wechsler Adult Intelligence Scale–Revised , New York , NY : Psychological Corporation .
   Google Scholar
• Wechsler , D. 1997 . WAIS-III WMS-III technical manual , San Antonio , TX : Psychological Corporation .
   Google Scholar
• Wechsler , D. 2003 . Wechsler Intelligence Scale for Children–Fourth Edition technical and interpretive manual , San Antonio , TX : Psychological Corporation .
   Google Scholar
• Wechsler , D. 2008a . Wechsler Adult Intelligence Scale–Fourth Edition. , San Antonio , TX : Pearson Assessment .
   Google Scholar
• Wechsler , D. 2008b . Wechsler Adult Intelligence Scale–Fourth Edition: Technical and interpretive manual. , San Antonio , TX : Pearson Assessment .
   Google Scholar
• Woodcock , R. W. , McGrew , K. S. and Mather , N. 2001 . Woodcock-Johnson III , Itasca , IL : Riverside .
   Google Scholar
• Yung , Y.-F. , Thissen , D. and McLeod , L. 1999 . On the relationship between the higher-order factor model and the hierarchical factor model. . Psychometrika , 64 : 113 – 128 .
   Web of Science ®Google Scholar
• Zinbarg , R. E. , Revelle , W. , Yovel , I. and Li , W. 2005 . Cronbach's α, Revelle's β, and McDonald's ω h : Their relations with each other and two alternative conceptualizations of reliability. . Psychometrika , 70 : 123 – 133 .
   Web of Science ®Google Scholar