The DOI matches its Crossref record; 69 of the 70 references it cites were found in a registry or an index.
The Rediscovery of Bifactor Measurement Models
Open accessAbstract
multidimensionality in a set of ordered categorical item responses. I begin by describing the Schmid-Leiman bifactor procedure (Schmid & Leiman, 1957), and highlight its relations with correlated-factors and second-order exploratory factor models. After describing limitations of the Schmid-Leiman, two newer methods of exploratory bifactor modeling are considered, namely, analytic bifactor (Jennrich & Bentler, 2011) and target bifactor rotations (Reise, Moore, & Maydeu-Olivares, 2011). In section two, I discuss limited and full-information estimation approaches to confirmatory bifactor models that have emerged from the item response theory and factor analysis traditions, respectively. Comparison of the confirmatory bifactor model to alternative nested confirmatory models and establishing parameter invariance for the general factor also are discussed. In the final section, important applications of bifactor models are reviewed. These applications demonstrate that bifactor modeling potentially provides a solid foundation for conceptualizing psychological constructs, constructing measures, and evaluating a measure's psychometric properties. However, some applications of the bifactor model may be limited due to its restrictive assumptions.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The cited source says what the claim attributes to it.
In the citing paper
“Model-based reliability estimates have often been proposed as an alternative measure of reliability for structural equation modeling (Brunner et al. 2012; Reise 2012; Rodriguez et al. 2016) due to the practical limitations of Cronbach’s alpha (Dunn et al. 2014; Sijtsma 2009; Yang and Green 2011).”
From Measurement Invariance of the WISC-V across a Clinical Sample of Children and Adolescents with ADHD and a Matched Control Group (2024) · cites this paper as Reise 2012
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
R: A Language and Environment for Statistical Computing
R Core Team (2000) · doi:10.32614/r.manuals · Cited by 355,893
EQS : structural equations program manual
Bentler, P. M. (1989) · Medical Entomology and Zoology · Cited by 9,669
Test Theory: A Unified Treatment
Zwick, R., & McDonald, R. P. (2000) · Journal of the American Statistical Association · doi:10.2307/2669496 · Cited by 3,641 · cited 1×
“Thus, to judge the degree to which composite scale scores are interpretable as a measure of a single common factor, we need a related index called coefficient omega hierarchical (McDonald, 1999; Zinbarg, Revelle, Yovel, & Li, 2005).”
Conventional wisdom on measurement: A structural equation perspective.
Bollen, K., & Lennox, R. (1991) · Psychological Bulletin · doi:10.1037/0033-2909.110.2.305 · Cited by 3,618 · cited 1×
“In other words, if the data are truly unidimensional and a unidimensional latent variable measurement model is proposed to fit the data, content representativeness does not make any difference in defining the latent variable or in the value of the estimated item parameters (Bollen & Lennox, 1991).”
Exploratory Structural Equation Modeling
Asparouhov, T., & Muthén, B. (2009) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705510903008204 · Cited by 2,701
(1999) · Cited by 2,653
Corrections to test statistics and standard errors in covariance structure analysis.
Satorra, A., & Bentler, P. M. (1994) · Cited by 2,388
Marginal Maximum Likelihood Estimation of Item Parameters: Application of an EM Algorithm
Bock, R. D., & Aitkin, M. (1981) · Psychometrika · doi:10.1007/bf02293801 · Cited by 2,339 · cited 1×
“Specifically, many applications of IRT are based on the marginal maximum likelihood (MML; Bock & Aitken, 1981) estimation method.”
Zinbarg, R. E., Revelle, W., Yovel, I., & Li, W. (2005) · Psychometrika · doi:10.1007/s11336-003-0974-7 · Cited by 1,439
Reise, S. P., Moore, T. M., & Haviland, M. G. (2010) · Journal of Personality Assessment · doi:10.1080/00223891.2010.496477 · Cited by 1,196 · cited 4×
“…resolving important problems in conceptualizing and measuring psychological constructs (Brunner, Nagy, & Wilhelm, 2012; Cai, Yang, & Hansen, 2011; Chen, Hayes, Carver, Laurenceau, & Zhang, 2012; Gustafsson & Aberg-Bengtsson, 2010; Reise et al., 2010; Reise, Morizot, & Hays, 2007; Thomas, 2012); 3.”
InfluentialSelf-citation
Research works printed but not linked: 13
- Bock R. D., 2003, TESTFACT 4.0 [Computer software and manual]
- Browne M. W., 2008, CEFA: Comprehensive Exploratory Factor Analysis (Version 3.02) [Computer software and manual]
- Cai L., 2011, IRTPRO: Flexible, multidimensional, multiple categorical IRT modeling.
- Cai L., 2011, IRTPRO: Flexible, multidimensional, multiple categorical IRT modeling [Computer software]
- Chen W. H., 1997, Journal of Educational and Behavioral Statistics, 22, 265, 10.2307/1165285 · DOI
- Gibbons R. D., 2008, Psychiatric Services, 59, 361, 10.1176/appi.ps.59.4.361 · DOI
- Jennrich R. I., 2012, Psychometrika.
- Jeon M., Journal of Educational and Behavioral Statistics.
- Muthén L. K., 2011, Mplus user's guide,
- Revelle W., 2012, Psych: Procedures for psychological, psychometric, and personality research. R package version 1.1–10
- Satorra A., 1994, Latent variable analysis: Applications for development research, 399
- Wu E. J. C., 2011, EQSIRT: A user-friendly IRT program.
- Zhang J., 1999, Psychometrika, 64, 231
Cited by
Sorted by citations
Items 401–500 of 1,002
Abad, F. J., Sorrel, M. Á., Garcı́a, L. F., & Aluja, A. (2016) · Assessment · doi:10.1177/1073191116667547 · Cited by 39
“The oblique model is not nested in the standard bifactor model where an orthogonally constraint for the specific factors is set (Reise, 2012).”
MethodBifactor Models in Psychometric Test Development
Chen, F.-F., & Zhang, Z.-G. (2018) · doi:10.1002/9781118489772.ch12 · Cited by 38
Loneliness and schizotypy are distinct constructs, separate from general psychopathology
Badcock, J. C., Barkus, E., Cohen, A. S., Bucks, R., & Badcock, D. R. (2016) · Frontiers in Psychology · doi:10.3389/fpsyg.2016.01018 · Cited by 38
“Confirmatory bi-factor models are one set of models gaining traction as a technique for accounting for this multidimensionality (Reise, 2012).”
BackgroundMethodThe English are healthier than the Americans: really?
Cieza, A., Oberhauser, C., Bickenbach, J., Jones, R. N., Üstün, T. B., Kostanjsek, N. F. I., Morris, J. N., & Chatterji, S. (2014) · International Journal of Epidemiology · doi:10.1093/ije/dyu182 · Cited by 41
“Bifactor analysis assumes the presence of a single general factor and multiple independent group factors.(17,18) Bifactor analyses supported the assumption of a strong general factor, but the questions and measured tests from the domains cognition, emotion, sleep, vision and hearing loaded higher in their respective g…”
BackgroundPicariello, F., Moss-Morris, R. E., Macdougall, I. C., & Chilcot, J. (2016) · Journal of Psychosomatic Research · doi:10.1016/j.jpsychores.2016.03.124 · Cited by 38
“Reliability of the total and subscale scores was assessed using the omega index, along with an indicator of the saturation of a multidimensional scale by a general factor, omega-hierarchical, for the bifactor models [31,32].”
MethodGäde, J. C., Schermelleh-Engel, K., & Klein, A. G. (2017) · Frontiers in Psychology · doi:10.3389/fpsyg.2017.00160 · Cited by 37
“…(Frost et al., 1990), adverse reactions to failure such as rumination over mistakes (Hill et al., 2004), seeking validation from others and being sensitive to criticism (need for approval, Hill et al., 2004), and perceived parental expectations and pressure (Frost et al., 1990; Hill et al., 2004).”
BackgroundMethodTesting the interrelationship between mental well-being and mental distress in young people
Hides, L. M., Quinn, C. A., Stoyanov, S. R., Cockshaw, W. D., Kavanagh, D. J., Shochet, I. M., Deane, F. P., Kelly, P. J., & Keyes, C. L. M. (2019) · The Journal of Positive Psychology · doi:10.1080/17439760.2019.1610478 · Cited by 43
“The ECV was large (>.60; Reise, 2012); however, the percentage of uncontaminated correlations was lower than the >.70 cut-off (.60) recommended and the average relative bias was 12% when comparing the general factor loadings to those from a unidimensional construct, which is on the cusp of an…”
BackgroundRogers, M. L., Law, K. C., Houtsma, C., Tucker, R. P., Anestis, M. D., & Joiner, T. E. (2021) · Assessment · doi:10.1177/10731911211033897 · Cited by 40
“…et al. 1781 were computed in MPlus using the bifactor model with standardized loadings, including omega reliability coefficients (McDonald, 1999; Reise, 2012; Zinbarg et al., 2005), percentage of reliable variance (Rodriguez et al., 2016), factor determinacy (Grice, 2001), construct…”
MethodMcVey, A. J., Schiltz, H. K., Coffman, M., Antezana, L., & Magnus, B. (2022) · Journal of Autism and Developmental Disorders · doi:10.1007/s10803-021-05018-4 · Cited by 37
“It is important to note that the “modified” bifactor models are not true bifactor models, given that the specific factors are uncorrelated in a bifactor model (Reise, 2012).”
BackgroundKocjan, G. Z., Lavtar, D., & Sočan, G. (2022) · Behavior Research Methods · doi:10.3758/s13428-022-01867-8 · Cited by 42
“While ωh reflects the proportion of total item variance explained by the general factor, ωs reflects the unique proportion of total item variance accounted for by each group factor controlling for the contribution of the general factor (Reise, 2012).”
BackgroundLiu, S., Fang, Y., Su, Z., Cai, J., & Chen, Z. (2023) · BMC Psychiatry · doi:10.1186/s12888-023-05316-4 · Cited by 42
Murray, A. L., McKenzie, K., Kuenssberg, R., & Booth, T. (2015) · Assessment · doi:10.1177/1073191115611230 · Cited by 37
“As an index of the extent to which the items reflected a general versus specific factors, we computed the explained common variance (ECV) statistic (see Reise, 2012).”
Dombrowski, S. C. (2014) · Journal of Psychoeducational Assessment · doi:10.1177/0734282914530838 · Cited by 37
“, 1999) that could produce a biased estimate of corresponding population values (Reise, 2012).”
BackgroundLevant, R. F., Hall, R. J., Weigold, I. K., & McCurdy, E. R. (2016) · Journal of Counseling Psychology · doi:10.1037/cou0000171 · Cited by 37
“That is, in the bifactor model, specific factors explain observed relationships among sets of items over and above the explanation that is provided by the general construct (Reise, 2012).”
BackgroundAl-Attiyah, A. A., Megreya, A. M., Alrashidi, M., Domínguez-Lara, S., & Al-Sheerawi, A. A. (2017) · International Journal of Culture and Mental Health · doi:10.1080/17542863.2017.1290125 · Cited by 37
“In the next step, a bifactor analysis (Reise, 2012) using the five-factor model of the original PID-5 (Krueger et al., 2012) was carried out.”
MethodGreater than the sum of its parts: Development of a measure of collectivism among Asians.
Lui, P. P., & Rollock, D. (2017) · Cultural Diversity & Ethnic Minority Psychology · doi:10.1037/cdp0000163 · Cited by 37
“…a correlated three-factor structure also was nested within a bifactor model with three specific factors (i.e., loadings on the GF constrained to be zero to convert a bifactor model to a correlated factor model), a nonsignificant 2 would indicate that the bifactor model was acceptable (Reise, 2012).”
BackgroundLauriola, M., Mosca, O., Trentini, C., Foschi, R., Tambelli, R., & Carleton, R. N. (2018) · Frontiers in Psychology · doi:10.3389/fpsyg.2018.00388 · Cited by 45
“The omega (ω) and omega scale (ωs) coefficients can also be compared to assess the viability of subscale scores with group-factor items (Reise, 2012).”
BackgroundMethodResultInfluentialHelping, Sharing, and Comforting in Young Children: Links to Individual Differences in Attachment
Beier, J. S., Gross, J. T., Brett, B. E., Stern, J. A., Martin, D. R., & Cassidy, J. A. (2018) · Child Development · doi:10.1111/cdev.13100 · Cited by 40
“…permits individual task scores to load on both the general factor and their associated specific factor, while keeping the general factor uncorrelated with the specific factors and the specific factors uncorrelated with each other (Chen, Hayes, Carver, Laurenceau, & Zhang, 2012; Reise, 2012).”
BackgroundMethodProdinger, B., Hammond, A., Tennant, A., Prior, Y., & Tyson, S. F. (2019) · BMC Musculoskeletal Disorders · doi:10.1186/s12891-019-2414-6 · Cited by 37
Wellan, S. A., Daniels, A., & Walter, H. (2021) · Frontiers in Psychology · doi:10.3389/fpsyg.2021.682824 · Cited by 35
“In order to further analyze the multidimensionality of the DARS, we additionally computed an orthogonal bifactor model with one general hedonic capacity factor and four domain group factors (Reise, 2012).”
MethodRobitzsch, A., & Lüdtke, O. (2022) · Measurement Instruments for the Social Sciences · doi:10.1186/s42409-022-00039-w · Cited by 36
“A bifactor model with a general factor and specific dimensions might also be attractive for applied researchers (Reise, 2012).”
BackgroundFergus, T. A., & Bardeen, J. R. (2017) · Assessment · doi:10.1177/1073191116685807 · Cited by 39
Friendship Network Satisfaction: A multifaceted construct scored as a unidimensional scale
Kaufman, V. A., Perez, J. C., Reise, S. P., Bradbury, T. N., & Karney, B. R. (2021) · Journal of Social and Personal Relationships · doi:10.1177/02654075211025639 · Cited by 37
Self-citationChronic pain conditions and risk of suicidal behavior: a 10-year longitudinal co-twin control study
Chen, C., Pettersson, E., Summit, A. G., Boersma, K., Chang, Z., Kuja‐Halkola, R., Lichtenstein, P., & Quinn, P. D. (2023) · BMC Medicine · doi:10.1186/s12916-022-02703-8 · Cited by 36
“In the present study, we addressed this by explicitly modeling overlapping pain conditions via a general factor model, which allows for decomposing their overlap into one general and several specific components [40].”
MethodPu, X., Cai, Z., Chong, A. Y., & Paulraj, A. (2023) · International Journal of Operations & Production Management · doi:10.1108/ijopm-04-2022-0235 · Cited by 39
Smith, Z. R., Becker, S. P., Garner, A. A., Rudolph, C. W., Molitor, S. J., Oddo, L. E., & Langberg, J. M. (2016) · Assessment · doi:10.1177/1073191116653471 · Cited by 39
“In the bifactor model, all factors (general and specific) were specified to be orthogonal to one another (Reise, 2012).”
BackgroundStructural Validity of the Depression, Anxiety, and Stress Scales-21 Adapted for U.S. Undergraduates
Kia‐Keating, M., No, U., Moore, S. A., Furlong, M. J., Liu, S., & You, S. (2017) · Emerging Adulthood · doi:10.1177/2167696817745407 · Cited by 43
Kramer, M. D., Patrick, C. J., Hettema, J. M., Moore, A. A., Sawyers, C. K., & Yancey, J. R. (2019) · Assessment · doi:10.1177/1073191119837613 · Cited by 36
“The 50 anchor scale items were determined to be adequately unidimensional in structure as evidenced by comparable loadings on the general factor of an exploratory bifactor model relative to the sole factor of a onefactor confirmatory model (cf. Reise, 2012).”
Assessing Measurement Invariance for Applied Research
Wells, C. S. (2021) · Cambridge University Press eBooks · doi:10.1017/9781108750561 · Cited by 38
McDanal, R., Schleider, J. L., Fox, K. R., & Eaton, N. R. (2021) · Assessment · doi:10.1177/10731911211065167 · Cited by 42
“While there does not appear to be a specific consensus for omega benchmarks, Reise (2012) suggests that omega values should meet the same standards as are expected of alpha values.”
BackgroundHaanstra, T. M., Tilbury, C., Kamper, S. J., Tordoir, R., Vlieland, T. P. M. V., Nelissen, R. G. H. H., Cuijpers, P. J., de Vet, H. C. W., Dekker, J., Knol, D. L., et al. (2015) · PLoS ONE · doi:10.1371/journal.pone.0133730 · Cited by 36
“For each of the 5 separate factors we calculated the proportion of variance unique from the general factor (ωNk) (for example see [39,40]).”
BackgroundGeneralized Dispositional Distrust as the Common Core of Populism and Conspiracy Mentality
Thielmann, I., & Hilbig, B. E. (2023) · Political Psychology · doi:10.1111/pops.12886 · Cited by 37
Boehnke, J. R., & Croudace, T. J. (2015) · Social Psychiatry and Psychiatric Epidemiology · doi:10.1007/s00127-015-1022-5 · Cited by 36
“While the interpretation of factor solutions has always been a challenging issue, the ‘‘rediscovery’’ of hierarchical and bifactor model variants [55] leads to the interpretative challenge of general factors of psychopathology.”
BackgroundGeiser, C., Burns, G. L., & Servera, M. (2014) · Frontiers in Psychology · doi:10.3389/fpsyg.2014.01216 · Cited by 35
“As can be seen in Figure 4, for one trait and two methods, we obtain measurement models that have the same structure as longitudinal latent state-trait models (e.g., Geiser et al., 2013) for multiple indicators and that are similar to so-called bifactor models (e.g., Reise, 2012).”
MethodCurvilinear dependency of response accuracy on response time in cognitive tests
Chen, H., de Boeck, P. A. L., Grady, M., Yang, C., & Waldschmidt, D. M. (2018) · Intelligence · doi:10.1016/j.intell.2018.04.001 · Cited by 38
Kyriazos, T. A., Stalikas, A., Prassa, K., & Yotsidi, V. (2018) · Psychology · doi:10.4236/psych.2018.95071 · Cited by 36
“However, Bifactor results has been criticized at certain conditions as questionable (Reise, 2012; Joshanloo et al., 2017).”
BackgroundBurnout: Re-examining its key constructs
Tavella, G., Hadži-Pavlović, D., & Parker, G. B. (2020) · Psychiatry Research · doi:10.1016/j.psychres.2020.112917 · Cited by 37
A latent profile analysis of adverse childhood experiences and adult health in a community sample
Dobson, K. S., McLarnon, M. J. W., Pandya, K., & Pusch, D. (2021) · Child Abuse & Neglect · doi:10.1016/j.chiabu.2020.104927 · Cited by 37
Majorano, M., Bastianello, T., Hațegan, C. B., Fantuzzi, P., Fontana, G., Hoste, E., Lombardi, M., Standaert, A., Talaș, D. A., TRIFU, R. N., et al. (2021) · Child & Youth Care Forum · doi:10.1007/s10566-021-09611-7 · Cited by 35
“The internal consistency of the tool can be considered sufficiently good in all countries (coefficients should be at least between 0.50 and 0.75; Reise, 2012; Reise et al., 2013).”
MethodInfluentialSupport for the general and specific bifactor model factors of anxiety sensitivity
Allan, N. P., Albanese, B. J., Short, N. A., Raines, A. M., & Schmidt, N. B. (2014) · Personality and Individual Differences · doi:10.1016/j.paid.2014.10.003 · Cited by 35
“Bifactor models suggest the presence of a single general factor reflecting the common variance among all manifest variables (i.e., items), as well as orthogonal factors reflecting the variance among clusters of items (Reise, 2012).”
BackgroundMoumni, M. E., Eck, M. E. V., Wendt, K. W., Reininga, I. H. F., & Mokkink, L. B. (2016) · Physical Therapy · doi:10.2522/ptj.20140589 · Cited by 35
Reliability from alpha to omega: a tutorialPreprint
Revelle, W., & Condon, D. M. (2018) · doi:10.31234/osf.io/2y3w9 · Cited by 33
Stephenson, K. G., Beck, J. S., South, M., Norris, M., & Butter, E. (2021) · Journal of Clinical Child & Adolescent Psychology · doi:10.1080/15374416.2020.1846543 · Cited by 35
“Reliability measures were calculated using the semTools package (Jorgensen et al., 2019) in R and included coefficients ωh, and ωhs (Reise, 2012).”
BackgroundMethodInfluentialEffect of retention in elementary grades on grade 9 motivation for educational attainment
Cham, H., Hughes, J. N., West, S. G., & Im, M. H. (2014) · Journal of School Psychology · doi:10.1016/j.jsp.2014.10.001 · Cited by 41
“…ω; 1.00 defines perfect reliability; McDonald, 1999) of the General factor (ω = .92), Teacher Educational Expectation specific factor (ω = .80), Peer Aspirations specific factor (ω = .86), and Value of Education specific factor (ω = .85) in grade 9 were all satisfactory (see Reise, 2012).”
BackgroundInfluentialResolving Dimensionality Problems With WHOQOL-BREF Item Responses
Perera, H. N., Izadikhah, Z., O'Connor, P. J., & McIlveen, P. (2016) · Assessment · doi:10.1177/1073191116678925 · Cited by 34
“…of HO models (i.e., proportionality constraints), which render them less realistic measurement structures under common modeling scenarios (Reise, 2012), we rejected the HO-ESEM model as the solution contained a small and nonsignificant second-order loading of the social dimension on…”
MethodCucina, J. M., & Howardson, G. N. (2016) · Psychological Assessment · doi:10.1037/pas0000389 · Cited by 34
Dombrowski, S. C., McGill, R. J., & Canivez, G. L. (2018) · Archives of Scientific Psychology · doi:10.1037/arc0000039 · Cited by 34
“Omega-hierarchical subscale is the model based reliability estimate of a group factor with all other group factors and general factor removed (Brunner, Nagy, & Wilhelm, 2012; Reise, 2012).”
BackgroundMethodInfluentialLoving the love of boys: Motives for consuming yaoi media
Zsila, Á., Pagliassotti, D., Urbán, R., Orosz, G., Király, O., & Demetrovics, Z. (2018) · PLoS ONE · doi:10.1371/journal.pone.0198895 · Cited by 34
Benfer, N., Bardeen, J. R., Fergus, T. A., & Rogers, T. A. (2018) · Journal of Personality Assessment · doi:10.1080/00223891.2018.1492927 · Cited by 33
“As such, bifactor modeling can be used to determine whether a total score is sufficient to operationalize the construct assessed by a given measure (Reise, 2012).”
BackgroundFactor Analysis of Negative Symptom Items in the Structured Interview for Prodromal Syndromes
Azis, M., Strauss, G. P., Walker, E. F., Revelle, W., Zinbarg, R. E., & Mittal, V. A. (2018) · Schizophrenia Bulletin · doi:10.1093/schbul/sby177 · Cited by 34
Ratner, K., Burrow, A. L., Burd, K. A., & Hill, P. L. (2019) · Applied Developmental Science · doi:10.1080/10888691.2019.1659140 · Cited by 40
“Bifactor analysis (Reise, 2012), for example, is a relatively easy-to-use structural equation modeling technique that can parse out the influences of two or more conceptually similar constructs.”
MethodZhu, S., Zhuang, Y., & Cheung, S. H. (2020) · Frontiers in Psychology · doi:10.3389/fpsyg.2020.00142 · Cited by 40
“The relative contributions from general and domain-specific components to items measuring implicit theories can be examined in factor analysis using bifactor models – an approach that has recently re-emerged (Reise, 2012).”
BackgroundMeasuring Spatial Perspective Taking: Analysis of Four Measures Using Item Response Theory
Brucato, M., Frick, A., Pichelmann, S., Nazareth, A., & Newcombe, N. S. (2022) · Topics in Cognitive Science · doi:10.1111/tops.12597 · Cited by 34
A Bifactor Model of School Engagement
Stefánsson, K. K., Gestsdóttir, S., Geldhof, G. J., Skúlason, S., & Lerner, R. M. (2015) · International Journal of Behavioral Development · doi:10.1177/0165025415604056 · Cited by 37
“Coefficient ! is analogous to coefficient a (Reise, 2012); therefore reliability estimates above the .70 level were interpreted as indicators of adequate reliability (Kline, 2011).”
BackgroundMethodInfluentialA test of work motivation profile similarity across four distinct samples of employees
Gillet, N., Morin, A. J. S., Ndiaye, A., Colombat, P., & Fouquereau, E. (2020) · Journal of Occupational and Organizational Psychology · doi:10.1111/joop.12322 · Cited by 34
“This multidimensional operationalization of motivation is typically achieved via the estimation of bifactor Exploratory Structural Equation Models (bifactor-ESEM) measurement models (e.g., Morin, Arens, & Marsh, 2016; Reise, 2012).”
MethodBifactor exploratory structural equation modeling: A meta-analytic review of model fit
Gegenfurtner, A. (2022) · Frontiers in Psychology · doi:10.3389/fpsyg.2022.1037111 · Cited by 43
“One-factor χ2 488.153 df 135 CFI 0.831 TLI 0.810 RMSEA 0.089 SRMR 0.063 CFA χ2 291.702 df 129 CFI 0.922 TLI 0.908 RMSEA 0.062 SRMR 0.049 ESEM χ2 155.324 df 87 CFI 0.967 TLI 0.943 RMSEA 0.049 SRMR 0.028 H-CFA χ2 302.934 df 130 CFI 0.917 TLI 0.903 RMSEA 0.063 SRMR 0.050 H-ESEM χ2 153.571 df 88 CFI 0.969 TLI 0.945 RMSEA…”
BackgroundMethodInfluentialSarasjärvi, K. K., Elovainio, M. J., Appelqvist‐Schmidlechner, K., Solin, P., Tamminen, N., & Therman, S. (2023) · Psychiatry Research · doi:10.1016/j.psychres.2023.115465 · Cited by 33
“Internal consistency and convergent validity McDonald’s omega is reported to quantify the internal consistency (reliability; Reise, 2012).”
Gignac, G. E. (2013) · Journal of Personality Assessment · doi:10.1080/00223891.2013.816717 · Cited by 32
“A bifactor model might be considered attractive in this case, as it has been shown to be associated with improvements in model fit in a number of investigations (Gignac, 2006, 2007a; Reise, 2012), and includes a general latent variable with direct paths onto the observed variables.”
MethodOlino, T. M., McMakin, D. L., & Forbes, E. E. (2016) · Assessment · doi:10.1177/1073191116680291 · Cited by 36
“This is termed a bifactor or hierarchical model (Reise, 2012).”
BackgroundWorking memory capacity mediates the relationship between removal and fluid intelligence
Singh, K. A., Gignac, G. E., Brydges, C. R., & Ecker, U. K. H. (2018) · Journal of Memory and Language · doi:10.1016/j.jml.2018.03.002 · Cited by 37
Determining the structure of smartphone addiction scale: A bifactor model analysis
Vintilă, M., Tudorel, O. I., Goian, C., & Bărbat, C. (2018) · Current Psychology · doi:10.1007/s12144-018-0035-0 · Cited by 43
Does Cooperation in the Laboratory Reflect the Operation of A Broad Trait?
McAuliffe, W. H. B., Forster, D. E., Pedersen, E. J., & McCullough, M. E. (2018) · European Journal of Personality · doi:10.1002/per.2180 · Cited by 36
I Believe in You! Measuring the experience of encouragement using the academic encouragement scale
Wong, Y. J., Cheng, H., McDermott, R. C., Deng, K., & McCullough, K. M. (2019) · The Journal of Positive Psychology · doi:10.1080/17439760.2019.1579357 · Cited by 33
“Another alternative model is a bifactor model in which items load on both a general factor and on specific group factors (Reise, 2012).”
BackgroundSkogen, J. C., Thørrisen, M. M., Olsen, E., Hesse, M., & Aas, R. W. (2019) · Drug and Alcohol Dependence · doi:10.1016/j.drugalcdep.2019.06.002 · Cited by 33
“Additionally, we aimed to test whether there was support for a bi-factor structure, allowing for one general factor and specific factors if we found support for more than one factor in the preceding factor analyses (Chen and Zhang, 2018; Reise, 2012).”
ResultSevere poverty and growth in behavioral self-regulation: The mediating role of parenting
Yu, D. L., Caughy, M. O., Smith, E. P., Oshri, A., & Owen, M. T. (2020) · Journal of Applied Developmental Psychology · doi:10.1016/j.appdev.2020.101135 · Cited by 37
“A bi-factor model is an example of a complex factor structure, in which all items load on a general factor, and a subset of items also load on one or more specific factors (Reise, 2012).”
BackgroundTóth‐Király, I., Morin, A. J. S., Gillet, N., Bőthe, B., Nadon, L., Rigó, A., & Orosz, G. (2020) · Current Psychology · doi:10.1007/s12144-020-00828-8 · Cited by 36
“However, the greater flexibility of bifactor models, which rely on the estimation of direct relations between the latent factors and item ratings, has led to recent recommendations of their superiority (Morin et al. 2016a; Reise 2012).”
Mekawi, Y., Watson‐Singleton, N. N., Dixon, H. D., Fani, N., Michopoulos, V., & Powers, A. D. (2020) · Journal of Clinical Psychology · doi:10.1002/jclp.23036 · Cited by 37
Klaufus, L. H., Luijten, M. A. J., Verlinden, E., van der Wal, M. F., Haverman, L., Cuijpers, P. J., Chinapaw, M. J. M., & Terwee, C. B. (2021) · Quality of Life Research · doi:10.1007/s11136-021-02852-y · Cited by 36
Puente‐Díaz, R., Cavazos‐Arroyo, J., Puerta‐Sierra, L., & Vargas-Barrera, F. (2021) · Personality and Individual Differences · doi:10.1016/j.paid.2021.111240 · Cited by 33
McElroy, E., Casey, P., Adamson, G., Filippopoulos, P. C., & Shevlin, M. E. (2017) · Irish Journal of Psychological Medicine · doi:10.1017/ipm.2017.52 · Cited by 36
Brodbeck, J., Faßbinder, E., Schweiger, U., Fehr, A., Späth, C., & Klein, J. P. (2018) · Journal of Affective Disorders · doi:10.1016/j.jad.2017.12.077 · Cited by 33
Fenollar-Cortés, J., & Watkins, M. W. (2018) · International Journal of School & Educational Psychology · doi:10.1080/21683603.2017.1414006 · Cited by 34
“tor models (see bottom panel of Figure 2) conceptualize g as a breadth factor having direct effects on the measured variables (Reise, 2012).”
BackgroundInfluentialBen‐Eliyahu, A., & Zeidner, M. (2020) · Cambridge University Press eBooks · doi:10.1017/9781108264822.041 · Cited by 33
Flourish Index and Secure Flourish Index Development and ValidationPreprint
Węziak‐Białowolska, D., McNeely, E., & VanderWeele, T. J. (2017) · SSRN Electronic Journal · doi:10.2139/ssrn.3145336 · Cited by 33
Validation of the short Clance impostor phenomenon scale (CIPS-10)
Wang, B., Andrews, W., Bechtoldt, M. N., Rohrmann, S., & de Vries, R. E. (2024) · European Journal of Psychological Assessment · doi:10.1027/1015-5759/a000747 · Cited by 28
Belief in a Just What? Demystifying Just World Beliefs by Distinguishing Sources of Justice
Stroebe, K. E., Postmes, T., Täuber, S., Stegeman, A., & John, M. (2015) · PLoS ONE · doi:10.1371/journal.pone.0120145 · Cited by 33
“We estimated a bifactor model in order to assess the dimensional structure of BJT5 [63, 64].”
Willoughby, M. T., Blanton, Z. E., & Family Life Project Investigators (2013) · Journal of Clinical Child & Adolescent Psychology · doi:10.1080/15374416.2013.850702 · Cited by 34
“Although bi-factor models are not new (Holzinger & Swineford, 1937), their use in the social, clinical, and health sciences is (Reise, 2012).”
BackgroundIs adjustment disorder unidimensional or multidimensional? Implications for ICD‐11
Lorenz, L., Hyland, P., Perkonigg, A., & Maercker, A. R. A. (2017) · International Journal of Methods in Psychiatric Research · doi:10.1002/mpr.1591 · Cited by 32
“One solution to this problem may lie in the application of confirmatory bifactor modelling (CBM; Reise, 2012).”
MethodTuliao, A. P., Klanecky, A. K., Mamauag, B. L., & McChargue, D. E. (2019) · Assessment · doi:10.1177/1073191118824030 · Cited by 31
Conway, C., Mansolf, M. A., & Reise, S. P. (2019) · Psychological Assessment · doi:10.1037/pas0000695 · Cited by 36
Self-citationFactorial validity of the Twi versions of five measures of mental health and well-being in Ghana
Appiah, R., Schutte, L., Fadiji, A. W., Wissing, M. P., & Cromhout, A. (2020) · PLoS ONE · doi:10.1371/journal.pone.0236707 · Cited by 32
Nespoli, A., Colciago, E., Fumagalli, S., Locatelli, A., Martin, C. J. H., & Martin, C. R. (2020) · Journal of Reproductive and Infant Psychology · doi:10.1080/02646838.2020.1836333 · Cited by 34
“Since the bi-factor model was found to offer an acceptable fit to the data, comparison with the three-factor correlated model using the chi-square difference test is deemed permissible (Reise, 2012; Yuan & Bentler, 2004).”
MethodXiménez, C., Revuelta, J., & Castañeda-Vozmediano, R. (2022) · Frontiers in Psychology · doi:10.3389/fpsyg.2022.923877 · Cited by 38
“However, the bifactor model was ignored for years and it has been rediscovered as a popular method to model construct dimensionality just in the last two decades (Reise, 2012; Reise et al., 2016).”
MethodInfluentialValidation of the Chinese Version of Self-Compassion Scale for Youth (SCS-Y)
Huang, L., Chen, Z., Jiang, W., Qu, D., Wang, Y., Fang, X., Han, H., Huang, C., Li, Z., & Chi, X. (2022) · Mindfulness · doi:10.1007/s12671-022-02024-0 · Cited by 32
Stucky, B. D., Edelen, M. O., Vaughan, C., Tucker, J. S., & Butler, J. A. (2013) · Journal of Substance Abuse Treatment · doi:10.1016/j.jsat.2013.12.005 · Cited by 32
“ding the fit of bifactor models to data with varying degrees of see Reise, Scheines, Widaman, and Haviland (2013).”
The St George’s Respiratory Questionnaire revisited: a psychometric evaluation
Paap, M. C. S., Brouwer, D., Glas, C. A. W., Monninkhof, E. M., Forstreuter, B., Pieterse, M. E., & van der Palen, J. A. M. (2013) · Quality of Life Research · doi:10.1007/s11136-013-0570-y · Cited by 32
McDermott, R. C., Levant, R. F., Hammer, J. H., Hall, R. J., McKelvey, D. K., & Jones, Z. K. (2017) · Journal of Counseling Psychology · doi:10.1037/cou0000225 · Cited by 32
“In addition to clarifying previous MRNI-SF bifactor specifications, recent recommendations for best practices in bifactor modeling (Reise, 2012; Rodriguez, Reise, & Haviland, 2016) suggest additional analyses could provide a more nuanced understanding of how the MRNI-SF functions and how observed…”
BackgroundMethodInfluentialSensory and affective components of symptom perception
Walentynowicz, M., Witthöft, M., Raes, F., Diest, I. V., & den Bergh, O. V. (2017) · Journal of Experimental Psychopathology · doi:10.5127/jep.059716 · Cited by 32
“In the bifactor model, each symptom shares both general and specific components of systematic variance (Reise, 2012).”
BackgroundMethodLost at the Edge of Uncertainty: Measuring Player Uncertainty in Digital Games
Power, C., Cairns, P. A., Denisova, A., Papaioannou, T., & Gultom, R. (2018) · International Journal of Human-Computer Interaction · doi:10.1080/10447318.2018.1507161 · Cited by 31
“Since doing that analysis, we have learned about newer techniques in factor analysis including item response theory (IRT) (Embretson & Reise, 2013) and bi-factor analysis (Reise, 2012).”
MethodThe Component Structure of the Dizziness Handicap Inventory (DHI): A Reappraisal
Wyngaerde, K. V. D., Lee, M. K., Jacobson, G. P., Pasupathy, K. S., Brufau, S. R., & McCaslin, D. L. (2019) · Otology & Neurotology · doi:10.1097/mao.0000000000002365 · Cited by 31
Zygar–Hoffmann, C., & Schönbrodt, F. D. (2020) · Collabra Psychology · doi:10.1525/collabra.278 · Cited by 32
Exploratory Bifactor Analysis of the WJ-III Cognitive in Adulthood via the Schmid–Leiman Procedure
Dombrowski, S. C. (2013) · Journal of Psychoeducational Assessment · doi:10.1177/0734282913508243 · Cited by 31
“Again, low ωh coefficients suggest that interpretation of the factor indices beyond the general factor is inappropriate as little variance exists beyond the general factor (Reise, 2012).”
BackgroundInfluentialThe Dutch Version of the Emotion Reactivity Scale
Claes, L., Smits, D., & Bijttebier, P. (2013) · European Journal of Psychological Assessment · doi:10.1027/1015-5759/a000171 · Cited by 31
Urbán, R., Arrindell, W. A., Demetrovics, Z., Unoka, Z., & Timman, R. (2016) · Psychiatry Research · doi:10.1016/j.psychres.2016.03.039 · Cited by 31
“Accordingly, estimating the bi-factor measurement structure is proposed to be an effective approach to modeling construct-relevant multidimensionality (Reise, 2012).”
InfluentialCanivez, G. L., Dombrowski, S. C., & Watkins, M. W. (2018) · Psychology in the Schools · doi:10.1002/pits.22138 · Cited by 30
Maïano, C., Morin, A. J. S., April, J., Webster, E. K., Hue, O. A., Dugas, C., & Ulrich, D. A. (2021) · Measurement in Physical Education and Exercise Science · doi:10.1080/1091367x.2021.1946541 · Cited by 30
“Matching typical bifactor solutions (Morin et al., 2016; Reise, 2012), all factors were specified as orthogonal Moreover, a one-factor solution was also examined.”
BackgroundMethodWilliams, Z. J., Schaaf, R. C., Ausderau, K., Baranek, G. T., Barrett, D. J., Cascio, C. J., Dumont, R. L., Eyoh, E. E., Failla, M. D., Feldman, J. I., et al. (2023) · Molecular Autism · doi:10.1186/s13229-023-00563-4 · Cited by 35
“Utilizing modern psychometric techniques such as item response theory (IRT [105, 106]) and bifactor modeling [69, 70, 107], the current IDA sought to rigorously evaluate the latent structure of sensory features in autism across multiple measures.”
BackgroundMethodCourse of avoidant/restrictive food intake disorder: Emergence of overvaluation of shape/weight
Kambanis, P. E., Mancuso, C. J., Becker, K. R., Eddy, K. T., Thomas, J. J., & Young, K. P. D. (2024) · Journal of Eating Disorders · doi:10.1186/s40337-024-01001-3 · Cited by 33
Psychometric Properties of a Multidimensional Scale of Sense of Community in the School
Prati, G., Cicognani, E., & Albanesi, C. (2017) · Frontiers in Psychology · doi:10.3389/fpsyg.2017.01466 · Cited by 33
Lombardi, A. R., Freeman, J., & Rifenbark, G. G. (2017) · Exceptional Children · doi:10.1177/0014402917731557 · Cited by 30
“…by disturbance parameters (i.e., variance that is not explained by the second-order factor); therefore, determining the effect of a first-order disturbance on outcomes (e.g., controlling for CCR, the effect of Transition Knowledge) in a structural equation model is intractable (Reise, 2012).”
Background
Metadata
- Authors
- Reise, S. P.
- Affiliations
- University of California, Los Angeles (US)
- Corresponding author
- Reise, Steven P.
- ORCID
- Reise, Steven P.
- Venue
- Multivariate Behavioral Research
- Publisher
- Informa UK Limited
- Published
- 2012-09
- Volume
- 47
- Issue
- 5
- Pages
- 667-696
- ISSN
- 0027-3171 (ISSN-L)
- 1532-7906
- PMC
- PMC3773879
- OpenAlex
- W2025929695
- Cited by
- 2,112
- References
- 70
- Citations by year
- 2026: 203 · 2025: 113 · 2024: 134 · 2023: 174 · 2022: 165 · 2021: 200 · 2020: 222 · 2019: 181 · 2018: 203 · 2017: 175 · 2016: 139 · 2015: 98 · 2014: 68 · 2013: 32 · 2012: 4
- FWCI
- 85.93
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Multivariate Behavioral Research (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Institutes of Health
- National Institute on Drug Abuse (RL1DA024853)
- National Institute of Arthritis and Musculoskeletal and Skin Diseases (U01AR052177)
- National Institute of Dental and Craniofacial Research (UL1DE019580)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Mental Health Research Topics
- Social Sciences › Psychology › Clinical Psychology › Personality Traits and Psychology
- Keywords
- bifactor model, multidimensionality, general factor, parameter invariance, nested models, construct measurement, psychometric properties
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review