- Boomsma, A. (1982). The robustness of LISREL against small sample sizes in factor analysis models. (Eds. K.
- G. Jöreskog & H. Wold). Systems under indirect observations: Causality, structure, prediction,Amsterdam: North-Holland.
- Byrne, B. M. (2010). Structural equation modeling with AMOS basic concepts, applications, and
- programming. New York: Taylor & Francis Group.
- Crocker, L. M. & Algina, L. (1986). Introduction to classical and modern test theory. New York: Holt,
- Rinehart and Winston.
- DeVellis, R. F. (2003). Scale development theory and applications, applied social research methods series.
- California: SAGE Publications.
- Fan, X. (1996). Structural equation modeling and canonical correlation analysis: What do they have in
- common?. Structural Equation Modeling: A Multidisciplinary Journal, 4, 64-78.
- Fan, X., Thompson B. & Wang, L. (1999). Effects of sample size, estimation methods, and model specification
- on structural equation modeling fit indexes. Structural Equation Modeling, 6(1), 56-83.
- Fan, X. and Sivo, S. A. (2007). Sensitivity of fit indices to model misspecification and model types.
- Multivariate Behavioral Research, 42(3), 509-529.
- Kaplan (2001), Structural equation modeling. International Encyclopedia of the Social & Behavioral Sciences,
- -15222.
- Kenny, D. A., & McCoach, D. B. (2003). Effect of the number of variables on measures of fit in structural
- equation modeling. Structural Equation Modeling, 10, 333–351.
- Kenny, D. A., Kaniskan, B. & McCoach, D. B. (2014). The Performance of RMSEA in Models With Small
- Degrees of Freedom. Sociological Methods & Research, 1-22.
- Kline, R. B. (2011). Principals and practice of structural equation modeling. New York. The Guilford Press.
- Molwus, J. J., Erdogan, B. & Ogunlana, S. O. (2013). Sample Size and Model Fit Indices for Structural
- Equation Modelling (SEM): The Case of Construction Management Research. ICCREM, 338-347.
- Savalie, V. (2012). The relationship between root mean square error of approximation and model
- misspecification in confirmatory factor analysis models. Educational and Psychological Measurement,
- (6), 910-932.
- Sayın, A. & Gelbal, S. (2016). Yapısal eşitlik modellemesinde parametrelerin klasik test kuramı ve madde
- tepki kuramına göre sınırlandırılmasının uyum indekslerine etkisi. International Journal of Education
- Science and Technology, 2(2), 57-71.
- Schermelleh-Engel, K., Moosbrugger, H. & Müller, H. (2003). Evaluating the fit of structural equation models:
- Tests of significance and descriptive goodness-of-fit measures. Methods of Psychological Research
- Online, 8(2), 23-74.
- Schumacker, R.E. & Lomax, R.G. (2004). A beginner’s guide to structural equation modeling. Lawrence
- Erlbaum Associates, New Jersey.
- Sharma, S., Mukherjee, S., Kumar, A. & Dillon, W.R. (2005). A simulation study to investigate the use of
- cutoff values for assessing model fit in covariance structure models. Journal of Business Research, 58,
- –943.
- Tabachnick, B. G. & Fidell, L. S. (2007). Using multivariate statistics. Boston: Allyn and Bacon.

In adjustment studies of scales and in terms of cross validity at scale development, confirmatory factor analysis is conducted. Confirmatory factor analysis, multivariate statistics, is estimated via various parameter estimation methods and utilizes several fit indexes for evaluating the model fit. In this study, model fit indexes utilized in confirmatory factor analysis are examined with different parameter estimation methods under different sample sizes. For the purpose of this study, answers of 60, 100, 250, 500 and 1000 students who attended PISA 2012 program were pulled from the answers to two dimensional “thoughts on the importance of mathematics” dimension. Estimations were based on methods of maximum likelihood (ML), unweighted least squares (ULS) and generalized least squares (GLS). As a result of the study, it was found that model fit indexes were affected by the conditions, however some fit indexes were affected less than others and vice versa. In order to analyze these, some suggestions were made.

- Boomsma, A. (1982). The robustness of LISREL against small sample sizes in factor analysis models. (Eds. K.
- G. Jöreskog & H. Wold). Systems under indirect observations: Causality, structure, prediction,Amsterdam: North-Holland.
- Byrne, B. M. (2010). Structural equation modeling with AMOS basic concepts, applications, and
- programming. New York: Taylor & Francis Group.
- Crocker, L. M. & Algina, L. (1986). Introduction to classical and modern test theory. New York: Holt,
- Rinehart and Winston.
- DeVellis, R. F. (2003). Scale development theory and applications, applied social research methods series.
- California: SAGE Publications.
- Fan, X. (1996). Structural equation modeling and canonical correlation analysis: What do they have in
- common?. Structural Equation Modeling: A Multidisciplinary Journal, 4, 64-78.
- Fan, X., Thompson B. & Wang, L. (1999). Effects of sample size, estimation methods, and model specification
- on structural equation modeling fit indexes. Structural Equation Modeling, 6(1), 56-83.
- Fan, X. and Sivo, S. A. (2007). Sensitivity of fit indices to model misspecification and model types.
- Multivariate Behavioral Research, 42(3), 509-529.
- Kaplan (2001), Structural equation modeling. International Encyclopedia of the Social & Behavioral Sciences,
- -15222.
- Kenny, D. A., & McCoach, D. B. (2003). Effect of the number of variables on measures of fit in structural
- equation modeling. Structural Equation Modeling, 10, 333–351.
- Kenny, D. A., Kaniskan, B. & McCoach, D. B. (2014). The Performance of RMSEA in Models With Small
- Degrees of Freedom. Sociological Methods & Research, 1-22.
- Kline, R. B. (2011). Principals and practice of structural equation modeling. New York. The Guilford Press.
- Molwus, J. J., Erdogan, B. & Ogunlana, S. O. (2013). Sample Size and Model Fit Indices for Structural
- Equation Modelling (SEM): The Case of Construction Management Research. ICCREM, 338-347.
- Savalie, V. (2012). The relationship between root mean square error of approximation and model
- misspecification in confirmatory factor analysis models. Educational and Psychological Measurement,
- (6), 910-932.
- Sayın, A. & Gelbal, S. (2016). Yapısal eşitlik modellemesinde parametrelerin klasik test kuramı ve madde
- tepki kuramına göre sınırlandırılmasının uyum indekslerine etkisi. International Journal of Education
- Science and Technology, 2(2), 57-71.
- Schermelleh-Engel, K., Moosbrugger, H. & Müller, H. (2003). Evaluating the fit of structural equation models:
- Tests of significance and descriptive goodness-of-fit measures. Methods of Psychological Research
- Online, 8(2), 23-74.
- Schumacker, R.E. & Lomax, R.G. (2004). A beginner’s guide to structural equation modeling. Lawrence
- Erlbaum Associates, New Jersey.
- Sharma, S., Mukherjee, S., Kumar, A. & Dillon, W.R. (2005). A simulation study to investigate the use of
- cutoff values for assessing model fit in covariance structure models. Journal of Business Research, 58,
- –943.
- Tabachnick, B. G. & Fidell, L. S. (2007). Using multivariate statistics. Boston: Allyn and Bacon.

Bölüm | Makaleler |
---|---|

Yazarlar | |

Yayımlanma Tarihi | 25 Aralık 2016 |

Yayınlandığı Sayı | Yıl 2016, Cilt 7, Sayı 2 |

Bibtex | @ { epod287130, journal = {Journal of Measurement and Evaluation in Education and Psychology}, issn = {1309-6575}, eissn = {1309-6575}, address = {}, publisher = {Eğitimde ve Psikolojide Ölçme ve Değerlendirme Derneği}, year = {2016}, volume = {7}, number = {2}, pages = {432 - 442}, title = {The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis}, key = {cite}, author = {Sayın, Ayfer} } |

APA | Sayın, A. (2016). The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis . Journal of Measurement and Evaluation in Education and Psychology , 7 (2) , 432-442 . Retrieved from https://dergipark.org.tr/tr/pub/epod/issue/27273/287130 |

MLA | Sayın, A. "The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis" . Journal of Measurement and Evaluation in Education and Psychology 7 (2016 ): 432-442 <https://dergipark.org.tr/tr/pub/epod/issue/27273/287130> |

Chicago | Sayın, A. "The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis". Journal of Measurement and Evaluation in Education and Psychology 7 (2016 ): 432-442 |

RIS | TY - JOUR T1 - The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis AU - Ayfer Sayın Y1 - 2016 PY - 2016 N1 - DO - T2 - Journal of Measurement and Evaluation in Education and Psychology JF - Journal JO - JOR SP - 432 EP - 442 VL - 7 IS - 2 SN - 1309-6575-1309-6575 M3 - UR - Y2 - 2022 ER - |

EndNote | %0 Eğitimde ve Psikolojide Ölçme ve Değerlendirme Dergisi The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis %A Ayfer Sayın %T The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis %D 2016 %J Journal of Measurement and Evaluation in Education and Psychology %P 1309-6575-1309-6575 %V 7 %N 2 %R %U |

ISNAD | Sayın, Ayfer . "The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis". Journal of Measurement and Evaluation in Education and Psychology 7 / 2 (Aralık 2016): 432-442 . |

AMA | Sayın A. The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis. JMEEP. 2016; 7(2): 432-442. |

Vancouver | Sayın A. The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis. Journal of Measurement and Evaluation in Education and Psychology. 2016; 7(2): 432-442. |

IEEE |
A. Sayın
,
"The Examination of Model Fit Indexes with Different Estimation Methods under Different Sample Sizes in Confirmatory Factor Analysis",
Journal of Measurement and Evaluation in Education and Psychology,
c. 7,
sayı. 2,
ss.
432-442, Ara. 2016 |