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Alternative test criteria in covariance structure analysis: A unified approach

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  1. Satorra, Albert, 1992. "The variance matrix of sample second-order moments in multivariate linear relations," Statistics & Probability Letters, Elsevier, vol. 15(1), pages 63-69, September.
  2. Lue Fang & Mantak Yuen & Eric Fung & Jiahong Zhang & Serene Chan & Florence Wu, 2022. "Life Satisfaction of Gifted and Average Adolescents in Hong Kong: Validation of the Chinese Brief Multidimensional Students’ Life Satisfaction Scale (BMSLSS)," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 17(2), pages 751-761, April.
  3. Ab Mooijaart & Albert Satorra, 2012. "Moment Testing for Interaction Terms in Structural Equation Modeling," Psychometrika, Springer;The Psychometric Society, vol. 77(1), pages 65-84, January.
  4. Albert Satorra & Peter Bentler, 2001. "A scaled difference chi-square test statistic for moment structure analysis," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 507-514, December.
  5. Guangjian Zhang & Kristopher Preacher & Robert Jennrich, 2012. "The Infinitesimal Jackknife with Exploratory Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 77(4), pages 634-648, October.
  6. Albert Satorra & Heinz Neudecker, 2015. "A Theorem on the Rank of a Product of Matrices with Illustration of Its Use in Goodness of Fit Testing," Psychometrika, Springer;The Psychometric Society, vol. 80(4), pages 938-948, December.
  7. Ke-Hai Yuan & Peter M. Bentler & Wei Zhang, 2005. "The Effect of Skewness and Kurtosis on Mean and Covariance Structure Analysis," Sociological Methods & Research, , vol. 34(2), pages 240-258, November.
  8. Steffen Grønneberg & Njål Foldnes, 2017. "Covariance Model Simulation Using Regular Vines," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1035-1051, December.
  9. Njål Foldnes & Tron Foss & Ulf Henning Olsson, 2012. "Residuals and the Residual-Based Statistic for Testing Goodness of Fit of Structural Equation Models," Journal of Educational and Behavioral Statistics, , vol. 37(3), pages 367-386, June.
  10. Alberto Maydeu-Olivares, 2017. "Assessing the Size of Model Misfit in Structural Equation Models," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 533-558, September.
  11. Ting Wang & Edgar C. Merkle & Achim Zeileis, 2013. "Score-Based Tests of Measurement Invariance: Use in Practice," Working Papers 2013-33, Faculty of Economics and Statistics, Universität Innsbruck.
  12. Albert Satorra & Peter Bentler, 2010. "Ensuring Positiveness of the Scaled Difference Chi-square Test Statistic," Psychometrika, Springer;The Psychometric Society, vol. 75(2), pages 243-248, June.
  13. Albert Satorra, 1992. "Multi-sample analysis of moment-structures: Asymptotic validity of inferences based on second-order moments," Economics Working Papers 16, Department of Economics and Business, Universitat Pompeu Fabra.
  14. Po-Hsien Huang, 2017. "Asymptotics of AIC, BIC, and RMSEA for Model Selection in Structural Equation Modeling," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 407-426, June.
  15. Ke-Hai Yuan & Peter Bentler, 2006. "Mean Comparison: Manifest Variable Versus Latent Variable," Psychometrika, Springer;The Psychometric Society, vol. 71(1), pages 139-159, March.
  16. Guastadisegni, Lucia & Cagnone, Silvia & Moustaki, Irini & Vasdekis, Vassilis, 2022. "Use of the Lagrange multiplier test for assessing measurement invariance under model misspecification," LSE Research Online Documents on Economics 110358, London School of Economics and Political Science, LSE Library.
  17. Robert Jennrich & Albert Satorra, 2014. "The Nonsingularity of Γ in Covariance Structure Analysis of Nonnormal Data," Psychometrika, Springer;The Psychometric Society, vol. 79(1), pages 51-59, January.
  18. Ting Wang & Carolin Strobl & Achim Zeileis & Edgar C. Merkle, 2016. "Score-Based Tests of Differential Item Functioning in the Two-Parameter Model," Working Papers 2016-05, Faculty of Economics and Statistics, Universität Innsbruck.
  19. Yutaka Kano & Masamori Ihara, 1994. "Identification of inconsistent variates in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 59(1), pages 5-20, March.
  20. Gerhard Arminger & Ronald Schoenberg, 1989. "Pseudo maximum likelihood estimation and a test for misspecification in mean and covariance structure models," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 409-425, September.
  21. Edgar Merkle & Achim Zeileis, 2013. "Tests of Measurement Invariance Without Subgroups: A Generalization of Classical Methods," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 59-82, January.
  22. Joan Alegre & Juan Carlos Escanciano, 2023. "Robust Minimum Distance Inference in Structural Models," Papers 2310.05761, arXiv.org.
  23. Chou, Chih-Ping & Bentler, P. M., 2002. "Model modification in structural equation modeling by imposing constraints," Computational Statistics & Data Analysis, Elsevier, vol. 41(2), pages 271-287, December.
  24. Daniel Oberski & Geert Kollenburg & Jeroen Vermunt, 2013. "A Monte Carlo evaluation of three methods to detect local dependence in binary data latent class models," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 7(3), pages 267-279, September.
  25. Haruhiko Ogasawara, 2004. "Asymptotic biases in exploratory factor analysis and structural equation modeling," Psychometrika, Springer;The Psychometric Society, vol. 69(2), pages 235-256, June.
  26. Jonas Moss & Steffen Grønneberg, 2023. "Partial Identification of Latent Correlations with Ordinal Data," Psychometrika, Springer;The Psychometric Society, vol. 88(1), pages 241-252, March.
  27. Zrelli, Imen & Demnati, Haykel & Ben Yedder, Moez, 2019. "The effect of the interaction between tariff modulation and transparency on the customer's dissatisfaction: The case of Tunisia," Journal of Retailing and Consumer Services, Elsevier, vol. 47(C), pages 1-10.
  28. Edgar Merkle & Jinyan Fan & Achim Zeileis, 2014. "Testing for Measurement Invariance with Respect to an Ordinal Variable," Psychometrika, Springer;The Psychometric Society, vol. 79(4), pages 569-584, October.
  29. Albert Satorra, 1990. "Robustness issues in structural equation modeling: a review of recent developments," Quality & Quantity: International Journal of Methodology, Springer, vol. 24(4), pages 367-386, November.
  30. Ting Wang & Carolin Strobl & Achim Zeileis & Edgar C. Merkle, 2018. "Score-Based Tests of Differential Item Functioning via Pairwise Maximum Likelihood Estimation," Psychometrika, Springer;The Psychometric Society, vol. 83(1), pages 132-155, March.
  31. Albert Satorra, 1991. "Asymptotic robust inferences in the analysis of mean and covariance structures," Economics Working Papers 3, Department of Economics and Business, Universitat Pompeu Fabra.
  32. Sandip Sinharay & Peter W. van Rijn, 2020. "Assessing Fit of the Lognormal Model for Response Times," Journal of Educational and Behavioral Statistics, , vol. 45(5), pages 534-568, October.
  33. Ogasawara, Haruhiko, 2005. "Asymptotic robustness of the asymptotic biases in structural equation modeling," Computational Statistics & Data Analysis, Elsevier, vol. 49(3), pages 771-783, June.
  34. Haruhiko Ogasawara, 2001. "Standard errors of fit indices using residuals in structural equation modeling," Psychometrika, Springer;The Psychometric Society, vol. 66(3), pages 421-436, September.
  35. Ke-Hai Yuan & Wai Chan, 2005. "On Nonequivalence of Several Procedures of Structural Equation Modeling," Psychometrika, Springer;The Psychometric Society, vol. 70(4), pages 791-798, December.
  36. Herbert Marsh & Robert Boik, 1993. "Reviews," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 145-152, March.
  37. Gülhayat Şimşek & Fatma Noyan, 2012. "Structural equation modeling with ordinal variables: a large sample case study," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(5), pages 1571-1581, August.
  38. Katsikatsou, Myrsini & Moustaki, Irini & Yang-Wallentin, Fan & Jöreskog, Karl G., 2012. "Pairwise likelihood estimation for factor analysis models with ordinal data," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4243-4258.
  39. Adolfo Esparcia & Joan Guárdia Olmos, 2001. "The Relationship of the Degree of Exposure to a Technological Disaster and Emotional Response: A Structural Model Approach," Quality & Quantity: International Journal of Methodology, Springer, vol. 35(2), pages 161-171, May.
  40. Oberski, Daniel, 2014. "lavaan.survey: An R Package for Complex Survey Analysis of Structural Equation Models," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 57(i01).
  41. Foss, Tron & Jöreskog, Karl G. & Olsson, Ulf H., 2011. "Testing structural equation models: The effect of kurtosis," Computational Statistics & Data Analysis, Elsevier, vol. 55(7), pages 2263-2275, July.
  42. P. M. Bentler & Chih-Ping Chou, 1990. "Model Search With TETRAD II and EQS," Sociological Methods & Research, , vol. 19(1), pages 67-79, August.
  43. Haruhiko Ogasawara, 2007. "Higher-order approximations to the distributions of fit indexes under fixed alternatives in structural equation models," Psychometrika, Springer;The Psychometric Society, vol. 72(2), pages 227-243, June.
  44. Albert Satorra, 2015. "A Comment on a Paper by H. Wu and M. W. Browne (2014)," Psychometrika, Springer;The Psychometric Society, vol. 80(3), pages 613-618, September.
  45. P. M. Bentler & Chih-Ping Chou, 1992. "Some New Covariance Structure Model Improvement Statistics," Sociological Methods & Research, , vol. 21(2), pages 259-282, November.
  46. Albert Maydeu-Olivares, 1999. "Thurstonian modeling of ranking data via mean and covariance structure analysis," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 325-340, September.
  47. Stanislav Kolenikov & Kenneth A. Bollen, 2012. "Testing Negative Error Variances," Sociological Methods & Research, , vol. 41(1), pages 124-167, February.
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