% Created 2026-08-01 12:25:00 by https://text2bib.org. Algorithm version 2026-07-14 00:55:51.

@article{mc84,
 author = {McDonald, J. A. and Clelland, D. A.},
 year = {1984},
 title = {Textile workers and union sentiment},
 journal = {Social Forces}, 
 volume = {63}, 
 pages = {502-521},
 doi = {10.1093/sf/63.2.502},
}

@article{dvh95,
 author = {Ding, L. and Velicer, W. F. and Harlow, L. L.},
 year = {1995},
 title = {Effects of estimation methods, number of indicators per factor, and improper solutions on structural equation modeling fit indices},
 journal = {Structural Equation Modeling: A Multidisciplinary Journal}, 
 volume = {2},
 issue = {2}, 
 pages = {119-143},
 doi = {10.1080/10705519509540000}
}

@book{b89,
 author = {Bollen, K.},
 year   = {1989},
 title  = {Structural equations with latent variables},
 addresse ={New York},
 publisher = {Wiley}
}

@article{bw05,
  author = {Beauducel, A. and Wittmann, W. W.},
  year = {2005},
  title = {Simulation study on fit indexes in CFA based on data with slightly distorted simple structure},
  journal = {Structural Equation Modeling},
  volume = {12},
  number = {1},
  pages = {41-75},
  doi = {10.1207/s15328007sem1201_3},
}

@article{bc25,
  author = {Beribisky, N. and Cribbie, R. A.},
  year = {2025},
  title = {Equivalence testing based fit index: Standardized root mean squared residual},
  journal = {Multivariate Behavioral Research},
  volume = {60},
  number = {1},
  pages = {138-157},
  doi = {10.1080/00273171.2024.2386686},
}

@article{ccbkp08,
  author = {Chen, F. and Curran, P. J. and Bollen, K. A. and Kirby, J. and Paxton, P.},
  year = {2008},
  title = {An empirical evaluation of the use of fixed cutoff points in RMSEA test statistic in structural equation models},
  journal = {Sociological Methods \& Research},
  volume = {36},
  number = {4},
  pages = {462-494},
  doi = {10.1177/0049124108314720},
}

@article{csk01,
  author = {Collins, L. M. and Schafer, J. L. and Kam, C.-M.},
  year = {2001},
  title = {A comparison of inclusive and restrictive strategies in modern missing data procedures},
  journal = {Psychological Methods},
  volume = {6},
  number = {4},
  pages = {330-351},
  doi = {10.1037/1082-989X.6.4.330},
}

@article{ccf20,
  author = {Counsell, A. and Cribbie, R. A. and Flora, D. B.},
  year = {2020},
  title = {Evaluating equivalence testing methods for measurement invariance},
  journal = {Multivariate Behavioral Research},
  volume = {2019},
  pages = {55},
  note = {Article 1633617},
  doi = {10.1080/00273171},
}

@article{cwf96,
  author = {Curran, P. J. and West, S. G. and Finch, J. F.},
  year = {1996},
  title = {The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis},
  journal = {Psychological Methods},
  volume = {1},
  number = {1},
  pages = {16-29},
  doi = {10.1037/1082-989X.1.1.16},
}

@article{d05,
  author = {Davey, A.},
  year = {2005},
  title = {Issues in evaluating model fit with missing data},
  journal = {Structural Equation Modeling},
  volume = {12},
  pages = {578-597},
  doi = {10.1207/s15328007sem1204_4},
}

@article{fs05,
  author = {Fan, X. and Sivo, S. A.},
  year = {2005},
  title = {Sensitivity of fit indexes to misspecified structural or measurement model components: Rationale of two-index strategy revisited},
  journal = {Structural Equation Modeling},
  volume = {12},
  pages = {343-367},
  doi = {10.1207/s15328007sem1203_1},
}

@article{fs07,
  author = {Fan, X. and Sivo, S. A.},
  year = {2007},
  title = {Sensitivity of fit indices to model misspecification and model types},
  journal = {Multivariate Behavioral Research},
  volume = {42},
  pages = {509-529},
  doi = {10.1080/00273170701382864},
}

@article{ff18,
  author = {Finch, W. H. and French, B. F.},
  year = {2018},
  title = {A simulation investigation of the performance of invariance assessment using equivalence testing procedures},
  journal = {Structural Equation Modeling: A Multidisciplinary Journal},
  volume = {25},
  pages = {673-686},
  doi = {10.1080/10705511.2018.1431781},
}

@incollection{ga93,
  author = {Gerbing, D. W. and Anderson, J. C.},
  year = {1993},
  title = {Monte Carlo evaluations of goodness-of-fit-indices for structural equation models},
  booktitle = {Testing structural equation models},
  editor = {K. A. Bollen and J. S. Long},
  address = {New York},
  publisher = {Sage Publications},
  pages = {40-65},
}

@article{hm11,
  author = {Hancock, G. R. and Mueller, R. O.},
  year = {2011},
  title = {The reliability paradox in assessing structural relations within covariance structure models},
  journal = {Educational and Psychological Measurement},
  volume = {71},
  pages = {306-324},
  doi = {10.1177/0013164410384856},
}

@article{hhdzb11,
  author = {Heene, M. and Hilbert, S. and Draxler, C. and Ziegler, M. and Bühner, M.},
  year = {2011},
  title = {Masking misfit in confirmatory factor analysis by increasing unique variances: A cautionary note on the usefulness of cutoff values of fit indices},
  journal = {Psychological Methods},
  volume = {16},
  pages = {319-336},
  doi = {10.1037/a0024917},
}

@incollection{hb95,
  author = {Hu, L. T. and Bentler, P. M.},
  year = {1995},
  title = {Evaluating model fit},
  booktitle = {Structural equation modeling},
  booksubtitle = {Concepts, issues, and applications},
  editor = {R. H. Hoyle},
  address = {New York},
  publisher = {Sage Publications},
  pages = {76-99},
}

@article{hb98,
  author = {Hu, L. T. and Bentler, P. M.},
  year = {1998},
  title = {Fit indices in covariance structure modeling: Sensitivity to underparameterized model misspecification},
  journal = {Psychological Methods},
  volume = {3},
  pages = {424-453},
  doi = {10.1037/1082-989X.3.4.424},
}

@article{hb99,
  author = {Hu, L. T. and Bentler, P. M.},
  year = {1999},
  title = {Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives},
  journal = {Structural Equation Modeling},
  volume = {6},
  pages = {1-55},
}

@article{jmy17,
  author = {Jiang, G. and Mai, Y. and Yuan, K. H.},
  year = {2017},
  title = {Advances in measurement invariance and mean comparison of latent variables: Equivalence testing and a projection-based approach},
  journal = {Frontiers in Psychology},
  volume = {8},
  pages = {1823},
  doi = {10.3389/fpsyg.2017.01823},
}

@online{k24,
  author = {Kenny, D. A.},
  year = {2024},
  title = {Measuring model fit},
  url = {https://davidakenny.net/cm/fit.htm},
  urldate = {2024-10-06},
  month = {10},
  date = {2024-10-06},
}

@article{lt89,
  author = {La Du, T. J. and Tanaka, J. S.},
  year = {1989},
  title = {Influence of sample size, estimation method, and model specification on goodness-of-fit assessments in structural equation models},
  journal = {Journal of Applied Psychology},
  volume = {74},
  number = {4},
  pages = {625-635},
  doi = {10.1037/0021-9010.74.4.625},
}

@article{lm15,
  author = {Lee, T. and MacCallum, R. C.},
  year = {2015},
  title = {Parameter influence in structural equation modeling},
  journal = {Structural Equation Modeling},
  volume = {22},
  pages = {102-114},
  doi = {10.1080/10705511.2014.935255},
}

@article{my17,
  author = {Marcoulides, K. M. and Yuan, K.-H.},
  year = {2017},
  title = {New ways to evaluate goodness of fit: A note on using equivalence testing to assess structural equation models},
  journal = {Structural Equation Modeling: A Multidisciplinary Journal},
  volume = {24},
  pages = {148-153},
  doi = {10.1080/10705511.2016.1225260},
}

@article{my20,
  author = {Marcoulides, K. M. and Yuan, K.-H.},
  year = {2020},
  title = {Using equivalence testing to evaluate goodness of fit in multilevel structural equation models},
  journal = {International Journal of Research \& Method in Education},
  volume = {43},
  pages = {431-443},
  doi = {10.1080/1743727X.2020.1795113},
}

@article{my24,
  author = {Marcoulides, K. M. and Yuan, K.-H.},
  year = {2024},
  title = {Testing structural equation model fit in psychological studies: A replication study using equivalence testing},
  journal = {Quality \& Quantity},
  volume = {58},
  pages = {3417-3433},
  doi = {10.1007/s11135-023-01796-4},
}

@article{my25,
  author = {Marcoulides, K. M. and Yuan, K. H.},
  year = {2025},
  title = {A Note on Comparing Equivalence Testing with Conventional Criteria in Evaluating the Overall Fit of Structural Equation Models},
  journal = {Structural Equation Modeling: A Multidisciplinary Journal},
  pages = {1-6},
  doi = {10.1080/10705511.2025.2508735},
}

@article{mhw04,
  author = {Marsh, H. W. and Hau, K. T. and Wen, Z.},
  year = {2004},
  title = {In search of golden rules: Comment on hypothesis-testing approaches to setting cutoff values for fit indexes and dangers in overgeneralizing Hu and Bentler's (1999) findings},
  journal = {Structural Equation Modeling},
  volume = {11},
  pages = {320-341},
  doi = {10.1207/s15328007sem1103_2},
}

@article{m23,
  author = {McNeish, D.},
  year = {2023},
  title = {Generalizability of dynamic fit index, equivalence testing, and {H}u \& {B}entler cutoffs for evaluating fit in factor analysis},
  journal = {Multivariate Behavioral Research},
  volume = {58},
  pages = {195-219},
  doi = {10.1080/00273171.2022.2163477},
}

@article{mw24,
  author = {McNeish, D. and Wolf, M. G.},
  year = {2024},
  title = {Direct discrepancy dynamic fit index cutoffs for arbitrary covariance structure models},
  journal = {Structural Equation Modeling: A Multidisciplinary Journal},
  volume = {31},
  pages = {835-862},
  doi = {10.1080/10705511.2024.2308005},
}

@article{m89,
  author = {Micceri, T.},
  year = {1989},
  title = {The unicorn, the normal curve, and other improbable creatures},
  journal = {Psychological Bulletin},
  volume = {105},
  pages = {156-166},
  doi = {10.1037/0033-2909.105.1.156},
}

@article{m07,
  author = {Millsap, R. E.},
  year = {2007},
  title = {Structural equation modeling made difficult},
  journal = {Personality and Individual Differences},
  volume = {42},
  number = {5},
  pages = {875-881},
  doi = {10.1016/j.paid.2006.09.021},
}

@incollection{m13a,
  author = {Millsap, R. E.},
  year = {2013},
  title = {A simulation paradigm for evaluating model fit},
  booktitle = {Current issues in the theory and application of latent variable models},
  editor = {M. Edwards and R. MacCallum},
  address = {New York},
  publisher = {Routledge},
  pages = {165-182},
}

@incollection{m13b,
  author = {Millsap, R. E.},
  year = {2013},
  title = {A simulation paradigm for evaluating approximate fit},
  booktitle = {Current topics in the theory and application of latent variable models},
  editor = {R. E. Millsap},
  address = {New York},
  publisher = {Routledge},
  pages = {165-182},
}

@article{me21,
  author = {Montoya, A. K. and Edwards, M. C.},
  year = {2021},
  title = {The poor fit of model fit for selecting number of factors in exploratory factor analysis for scale evaluation},
  journal = {Educational and Psychological Measurement},
  volume = {81},
  pages = {413-440},
  doi = {10.1177/0013164420942899},
}

@article{mwc19,
  author = {Morris, T. P. and White, I. R. and Crowther, M. J.},
  year = {2019},
  title = {Using simulation studies to evaluate statistical methods},
  journal = {Statistics in Medicine},
  volume = {38},
  number = {11},
  pages = {2074-2102},
  doi = {10.1002/sim.8086},
}

@article{ma18,
  author = {Moshagen, M. and Auerswald, M.},
  year = {2018},
  title = {On congruence and incongruence of measures of fit in structural equation modeling},
  journal = {Psychological Methods},
  volume = {23},
  number = {2},
  pages = {318-336},
  doi = {10.1037/met0000122},
}

@article{mm02,
  author = {Muthén, L. K. and Muthén, B. O.},
  year = {2002},
  title = {How to use a {M}onte {C}arlo study to decide on sample size and determine power},
  journal = {Structural Equation Modeling},
  volume = {9},
  number = {4},
  pages = {599-620},
  doi = {10.1207/S15328007SEM0904_8},
}

@article{nm18,
  author = {Niemand, T. and Mai, R.},
  year = {2018},
  title = {Flexible cutoff values for fit indices in the evaluation of structural equation models},
  journal = {Journal of the Academy of Marketing Science},
  volume = {46},
  pages = {1148-1172},
  doi = {10.1007/s11747-018-0602-9},
}

@article{pcbkc01,
  author = {Paxton, P. and Curran, P. J. and Bollen, K. A. and Kirby, J. and Chen, F.},
  year = {2001},
  title = {{M}onte {C}arlo experiments: Design and implementation},
  journal = {Structural Equation Modeling},
  volume = {8},
  number = {2},
  pages = {287-312},
  doi = {10.1207/S15328007SEM0802_7},
}

@article{pe04,
  author = {Peugh, J. L. and Enders, C. K.},
  year = {2004},
  title = {Missing data in educational research: A review of reporting practices and suggestions for improvement},
  journal = {Review of Educational Research},
  volume = {74},
  pages = {525-556},
  doi = {10.3102/00346543074004525},
}

@article{pf20,
  author = {Peugh, J. L. and Feldon, D. F.},
  year = {2020},
  title = {How well does your structural equation model fit your data? Is {M}arcoulides and {Y}uan's equivalence test the answer?},
  journal = {CBE---Life Sciences Education},
  volume = {19},
  pages = {es5},
  doi = {10.1187/cbe.20-01-0016},
}

@article{pf24,
  author = {Peugh, J. L. and Feldon, D. F.},
  year = {2024},
  title = {The answer is ``no'': A comment on Peugh and Feldon (2020)},
  journal = {CBE---Life Sciences Education},
  volume = {23},
  number = {4},
  pages = {le1},
  doi = {10.1187/cbe.24-07-0182},
}

@article{plf23,
  author = {Peugh, J. L. and Litson, K. and Feldon, D. F.},
  year = {2023},
  title = {Equivalence testing to judge model fit: A Monte Carlo simulation},
  journal = {Psychological Methods},
  volume = {30},
  number = {4},
  pages = {888-925},
  doi = {10.1037/met0000591},
}

@article{r76,
  author = {Rubin, D. B.},
  year = {1976},
  title = {Inference and missing data},
  journal = {Biometrika},
  volume = {63},
  number = {3},
  pages = {581-592},
  doi = {10.1093/biomet/63.3.581},
}

@incollection{sb85,
  author = {Sobel, M. E. and Bohrnstedt, G. W.},
  year = {1985},
  title = {Use of null models in evaluating the fit of covariance structure models},
  booktitle = {Sociological methodology},
  editor = {N. B. Tuma},
  address = {Washington},
  publisher = {Jossey-Bass},
  pages = {152-178},
}

@article{sm93,
  author = {Sugawara, H. M. and MacCallum, R. C.},
  year = {1993},
  title = {Effect of estimation method on incremental fit indexes for covariance structure models},
  journal = {Applied Psychological Measurement},
  volume = {17},
  number = {4},
  pages = {365-377},
  doi = {10.1177/014662169301700405},
}

@incollection{wwms23,
  author = {West, S. G. and Wu, W. and McNeish, D. and Savord, A.},
  year = {2023},
  title = {Model fit in structural equation modeling},
  booktitle = {Handbook of structural equation modeling},
  edition = {2},
  editor = {R. Hoyle},
  address = {Racoon City},
  publisher = {Guilford Press},
  pages = {184-205},
}

@article{wkp26,
  author = {Whittaker, T. A. and Khojasteh, J. and Park, S. H.},
  year = {2026},
  title = {The Performance of Equivalence-Based Fit Indices with Bootstrapped Confidence Intervals and Varied Tolerable Cutoffs},
  journal = {Structural Equation Modeling: A Multidisciplinary Journal},
  pages = {1-13},
  doi = {10.1080/10705511.2026.2686107},
}

@article{wt03,
  author = {Widaman, K. F. and Thompson, J. S.},
  year = {2003},
  title = {On specifying the null model for incremental fit indices in structural equation modeling},
  journal = {Psychological Methods},
  volume = {8},
  pages = {16-37},
}

@article{wm23,
  author = {Wolf, M. G. and McNeish, D.},
  year = {2023},
  title = {Dynamic: an R package for deriving dynamic fit index cutoffs for factor analysis},
  journal = {Multivariate Behavioral Research},
  volume = {58},
  pages = {189-194},
  doi = {10.1080/00273171.2022.2163476},
}

@article{yb99,
  author = {Yuan, K.-H. and Bentler, P. M.},
  year = {1999},
  title = {On normal theory and associated test statistics in covariance structure analysis under two classes of nonnormal distributions},
  journal = {Statistica Sinica},
  volume = {9},
  pages = {831-853},
}

@article{yc16,
  author = {Yuan, K. H. and Chan, W.},
  year = {2016},
  title = {Measurement invariance via multigroup SEM: Issues and solutions with chi-square-difference tests},
  journal = {Psychological Methods},
  volume = {21},
  pages = {405-426},
  doi = {10.1037/met0000080},
}

