Yıl 2018, Cilt 26, Sayı 3, Sayfalar 697 - 706 2018-05-15

Örneklem Büyüklüğü, Korelasyon Tekniği ve Faktör Çıkarma Yönteminin Güvenirlik Katsayılarına Etkisi
The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients

Nuri Doğan [1] , Abdullah Faruk Kılıç [2]

55 75

Bu araştırmanın amacı, güvenirlik katsayılarını örneklem büyüklüğüne (250, 500, 1000, 2500, 5000 ve 9773), EFA faktör çıkarma yöntemine (PCA, PA, ULS, WLS ve MLE); CFA kestirim yöntemine (UL, ML ve GL) ve korelasyon matrisine (Pearson, phi ve tetrakorik) göre karşılaştırmaktır. Bu amaçla temel araştırma yöntemine başvurulmuştur. Araştırma gerçek verilerle yürütülmüş olup araştırma verileri, 2014 yılında uygulanan Temel Eğitimden Ortaöğretime Geçiş sınavları Türkçe alt testine cevap veren öğrenci cevaplarından oluşturulmuştur. Araştırmada McDonald ω, McDonald ωh, Maximal güvenirlik, Armor Ɵ, Heise ve Bohrnstedt Ω, Revelle β ve Standartlaştırılmış Alfa katsayıları karşılaştırılmıştır. Araştırma sonucunda aynı korelasyon matrisi için örneklem büyüklüğünün çok değişikliğe neden olmadığı gözlenmiştir. Tetrakorik korelasyonla hesaplanan McDonald ωh ve Revelle β katsayılarının 1’den büyük olduğu bazı koşulların bulunduğu araştırmanın bir diğer bulgusudur. Araştırma sonuçlarına göre bu katsayıların konjerik tek faktörlü yapılar için phi korelasyonuyla hesaplanmasını önerilmiştir. Diğer bulgular literatür eşliğinde tartışılmış ve önerilerde bulunulmuştur.

This study aims to compare reliability coefficients according to sample size (250, 500, 1,000, 2,500, 5,000, and 9,773), EFA factor extraction methods (PCA, PA, ULS, WLS, and MLE), CFA estimation methods (UL, ML, and GL), and correlation matrices (Pearson, phi, and tetrachoric). Therefore, it employs a basic research method. The study was conducted with real data, and the data were collected from students’ answers to a Turkish sub-test in the Test for Transition from Basic Education into Secondary Education administered in 2014. Within the scope of the study, McDonald ω, McDonald ωh, maximal reliability, Armor Ɵ, Heise and Bohrnstedt Ω, Revelle β, and standardized alpha coefficients were compared. Consequently, it was found that sample size in the same correlation matrices did not lead to serious changes. It was also found that McDonald ωh and Revelle β coefficients calculated with a tetrachoric correlation were bigger than 1 in some conditions. It was recommended in consequence that those coefficients should be calculated through phi correlations for congeric one-factor structures. Other findings obtained support the literature, and necessary suggestions are made. 
  • AERA, APA, NCME, American Educational Research Association (AERA), American Psychological Association (APA), & National Council on Measurement In Education (NCME). (2014). Standards for educational and psychological testing. Washington, DC: American Educational Research Association.
  • Allen, M. J., & Yen, W. M. (1979). Introduction to measurement theory. Monterey: Brooks/Cole Publishing Company.
  • Armor, D. J. (1974). Theta reliability and factor scaling. Sociological Methodology, 5, 17–50.
  • Carmines, E. G., & Zeller, R. A. (1987). Reliability and validity assessment (9th ed.). Beverly Hills, California: SAGE.
  • Chou, C. P., & Bentler, P. M. (1995). Estimates and tests in structural equation modeling. In R. H. Hoyle (Ed.), Structural equation modeling: Concepts, issues, and applications. Thousand Oaks, CA: SAGE.
  • Comrey, A. L. (1988). Factor-analytic methods of scale development in personality and clinical psychology. Journal of Consulting and Clinical Psychology, 56(5), 754–761. https://doi.org/10.1037/0022-006X.56.5.754
  • Crocker, L., & Algina, J. (2008). Introduction of classical and modern test theory. Ohio: Cengage Learning.
  • Curran, P. J., West, S. G., & Finch, J. F. (1996). The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis. Psychological Methods, 1(1), 16–29. https://doi.org/10.1037/1082-989X.1.1.16
  • Ercan, I., Yazici, B., Sigirli, D., Ediz, B., & Kan, I. (2007). Examining Cronbach alpha, theta, omega reliability coefficients according to sample size. Journal of Modern Applied Statistical Methods, 6(1), 291–303. Retrieved from http://digitalcommons.wayne.edu/jmasm/vol6/iss1/27
  • Fox, J. (2016). polycor: Polychoric and polyserial correlations. Retrieved from https://cran.r-project.org/package=polycor
  • Fraenkel, J. R., Wallen, N. E., & Huyn, H. H. (2012). How to design and evaluate research in education (8th ed.). New York: McGraw-Hill.
  • Gay, L. R., Mills, G. E., & Airasian, P. (2012). Educational research: Competencies for analysis and applications (10th ed.). New Jersey: Pearson.
  • Gorsuch, R. L. (1974). Factor Analysis (1st ed.). Toronto: W. B. Saunders Company.
  • Green, S. B., & Yang, Y. (2009). Reliability of summed item scores using structural equation modeling: An alternative to coefficient alpha. Psychometrika, 74(1), 155–167. https://doi.org/10.1007/s11336-008-9099-3
  • Guadagnoli, E., & Velicer, W. F. (1988). Relation of sample size to the stability of component patterns. Psychological Bulletin, 103(2), 265–275.
  • Gulliksen, H. (1950). Theory of mental tests. New York: Wiley.
  • Hancock, G. R., & Mueller, R. O. (2001). Rethinking construct reliability within latent variable systems. In Structural Equation Modeling: Present and Future: A Festschrift in Honor of Karl Jöreskog (pp. 195–216).
  • Hancock, G. R., & Mueller, R. O. (2013). Structural equating modelling: A second course. B. G. Tabachnick & L. S. Fidell (Orgs.), Using multivariate statistics (2nd ed.). Charlotte, NC: Information Age Publishing.
  • Heise, D. R., & Bohrnstedt, G. W. (1970). Validity, invalidity, and reliability. In E. F. Borgatta & G. W. Bohrnstedt (Eds.), Sociological Methodology (pp. 104–129). San Francisco: Jossey-Bass.
  • McDonald, R. P. (1999). Test theory: A unified treatment. Mahwah, NJ: LEA Publisher.
  • Meyer, J. P. (2010). Reliability. New York: Oxford University Press.
  • Osburn, H. G. (2000). Coefficient alpha and related internal consistency reliability coefficients. Psychological Methods, 5(3), 343–355. https://doi.org/10.1037/1082-989X.5.3.343
  • Price, L. R. (2017). Psychometric methods: Theory and practice. New York, NY: The Guilford Press.
  • R Core Team. (2017). R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. Retrieved from https://www.r-project.org/.
  • Revelle, W. (1979). Hierarchical cluster analysis and the internal structure of tests. Multivariate Behavioral Research, 14, 57–74. https://doi.org/10.1207/s15327906mbr1401_4
  • Revelle, W. (2016). psych: Procedures for Psychological, Psychometric, and Personality Research. Evanston, Illinois. Retrieved from https://cran.r-project.org/package=psych
  • Skrondal, A., & Rabe-Hesketh, S. (2004). Generalized latent variable modelling: Multilevel, longitudinal, and structural equation models. New York: Chapman & Hall.
  • Streiner, D. L. (1994). Figuring out factors: the use and misuse of factor analysis. Canadian Journal of Psychiatry, 39(3), 135–140.
  • Zinbarg, R. E., Revelle, W., Yovel, I., & 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(1), 123–133. https://doi.org/10.1007/s11336-003-0974-7
Birincil Dil en
Konular Eğitim, Bilimsel Disiplinler
Dergi Bölümü Makaleler
Yazarlar

Yazar: Nuri Doğan

Yazar: Abdullah Faruk Kılıç

Bibtex @araştırma makalesi { kefdergi413303, journal = {Kastamonu Eğitim Dergisi}, issn = {}, eissn = {2147-9844}, address = {Kastamonu Üniversitesi}, year = {2018}, volume = {26}, pages = {697 - 706}, doi = {10.24106/kefdergi.413303}, title = {The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients}, key = {cite}, author = {Doğan, Nuri and Kılıç, Abdullah Faruk} }
APA Doğan, N , Kılıç, A . (2018). The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients. Kastamonu Eğitim Dergisi, 26 (3), 697-706. DOI: 10.24106/kefdergi.413303
MLA Doğan, N , Kılıç, A . "The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients". Kastamonu Eğitim Dergisi 26 (2018): 697-706 <http://dergipark.gov.tr/kefdergi/issue/36979/413303>
Chicago Doğan, N , Kılıç, A . "The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients". Kastamonu Eğitim Dergisi 26 (2018): 697-706
RIS TY - JOUR T1 - The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients AU - Nuri Doğan , Abdullah Faruk Kılıç Y1 - 2018 PY - 2018 N1 - doi: 10.24106/kefdergi.413303 DO - 10.24106/kefdergi.413303 T2 - Kastamonu Eğitim Dergisi JF - Journal JO - JOR SP - 697 EP - 706 VL - 26 IS - 3 SN - -2147-9844 M3 - doi: 10.24106/kefdergi.413303 UR - http://dx.doi.org/10.24106/kefdergi.413303 Y2 - 2017 ER -
EndNote %0 Kastamonu Eğitim Dergisi The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients %A Nuri Doğan , Abdullah Faruk Kılıç %T The Effects of Sample Size, Correlation Technique, and Factor Extraction Method on Reliability Coefficients %D 2018 %J Kastamonu Eğitim Dergisi %P -2147-9844 %V 26 %N 3 %R doi: 10.24106/kefdergi.413303 %U 10.24106/kefdergi.413303
ISNAD Doğan, Nuri , Kılıç, Abdullah Faruk . "Örneklem Büyüklüğü, Korelasyon Tekniği ve Faktör Çıkarma Yönteminin Güvenirlik Katsayılarına Etkisi". Kastamonu Eğitim Dergisi 26 / 3 (Mayıs 2018): 697-706. http://dx.doi.org/10.24106/kefdergi.413303