Journals / Kuram ve Uygulamada Eğitim Bilimleri / 2016 / Cilt: 16 - Sayı: 2

Using Horn's Parallel Analysis Method in Exploratory Factor Analysis for Determining the Number of Factors

Pages
537–551
Publication Date
2022-10-18
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

It was concluded that the item-factor distributions obtained as a result of the analyses were consistent with those obtained in the scale development study.

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Objective & Hypothesis:In this study, the number of factors obtained from parallel analysis, a method used for determining the number of factors in exploratory factor analysis, was compared to that of the factors obtained from eigenvalue and scree plot--two traditional methods for determining the number of factors--in terms of consistency.
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Key Findings & Data:In the study, the actual data employed for factor analysis was gathered from a total of 190 primary school teachers using the Organizational Trust Scale to explore a teacher's views about organizational trust in primary schools within the scope of another study.
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Conclusion & Impact:It was concluded that the item-factor distributions obtained as a result of the analyses were consistent with those obtained in the scale development study.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the number of factors obtained from parallel analysis, a method used for determining the number of factors in exploratory factor analysis, was compared to that of the factors obtained from eigenvalue and scree plot--two traditional methods for determining the number of factors--in terms of consistency. Parallel analysis is based on random data generation, which is parallel to the actual data set, using the Monte Carlo Simulation Technique to determine the number of factors and the comparison of eigenvalues of those two data sets. In the study, the actual data employed for factor analysis was gathered from a total of 190 primary school teachers using the Organizational Trust Scale to explore a teacher's views about organizational trust in primary schools within the scope of another study. The Organizational Trust Scale comprises 22 items under the three factors of "Trust in Leaders," "Trust in Colleagues," and "Trust in Shareholders." A simulative data set with a sample size of 190 and 22 items was simulated in addition to the actual data through an SPSS syntax. The two data sets underwent parallel analysis with the iteration number of 1000. The number of factors was found to be three. This was consistent with the number of factors obtained in the development process of the scale. The number of factors was restricted to three and exploratory factor analysis was re-performed on the actual data. It was concluded that the item-factor distributions obtained as a result of the analyses were consistent with those obtained in the scale development study. Hence, parallel analysis was found to provide consistent results with the construct obtained in the scale development study.

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Cite This Article

ÇOKLUK, Ö., KOÇAK, D. (2022). Using Horn's Parallel Analysis Method in Exploratory Factor Analysis for Determining the Number of Factors. Kuram ve Uygulamada Eğitim Bilimleri, Cilt: 16 - Sayı: 2, 537–551. https://ajindex.com/articles/576733

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References (12)

  1. Allen, S. J., & Hubbard, R. (1986). Regression equations for the latent roots of random data correlation matrices with unities on the diagonal. Multivariate Behavioral Research, 21(3), 393-398.
  2. Anastasi, A. (1968).
  3. Psychological testing. London, UK: The Macmillian Company, New York Collier-Macmillan Limited. Atılgan, H., Kan, A., & Doğan N. (2006). Eğitimde ölçme ve değerlendirme [Measurement and evaluation in education]. Ankara, Turkey: Anı Yayıncılık. Baykul, Y. (2000). Eğitimde ve psikolojide ölçme [Measurement and evaluation in education]. Ankara, Turkey: ÖSYM Yayınları.
  4. Beauducel A. (2001). Problems with parallel analysis in datasets with oblique simple structure. Methods of Psychological Research Online, 6(2), 141-157.
  5. Buja, A., & Eyuboglu, N. (1992). Remarks on parallel analysis. Multivariate Behavioral Research, 27(4), 509-540.
  6. Cliff, N. (1988). The eigenvalues-greater-than-one rule and the reliability of components. Psychological Bulletin, 103(2), 276-279.
  7. Çokluk, Ö., & Yılmaz, K. (2008). İlköğretim okullarında örgütsel güven hakkında öğretmen görüşleri [Views of primary school teachers about organizational trust]. Kuram ve Uygulamada Eğitim Yönetimi, 54, 211-233.
  8. Çokluk, Ö., Şekercioğlu, G., & Büyüköztürk, Ş. (2010). Sosyal bilimler için çok değişkenli istatistik SPSS ve Lisrel uygulamaları [Multivariate statistics in social sciences: SPSS and Lisrel application]. Ankara, Turkey: PegemAkademi. Comrey, A. L., & Lee, H. B. (1973). A first course in factor analysis. New York, NY: Academic Press.
  9. Comrey, A. L., & Lee, H. B. (1992). A first course in factor analysis. Hillsdale, NJ: Lawrence Erlbaum. Crawford, A. V., Green, B. S., Levy, R., Lo, W. J., Scott, L., Svetina, D., & Thompson, M. S. (2010). Evaluation of parallel analysis methods for determining the number of factors. Educational and Psychological Measurements, 70(6), 885-901.
  10. Crawford, C. B., & Koopman, P. (1979).Inter-rater reliability of scree test and mean square ratio test of number of factors. Perceptual & Motor Skills, 49, 223-226.
  11. Crocker, L., & Algina, J. (1986). Introduction to classical and modern test theory. Philadelphia, PA: Harcourt Brace Jovanovich College Publishers.
  12. Cronbach, L. J. (I 990). Essentials of psychological testing. New York, NY: Harper CoIIins. Dancey, C., & Reidy, J. (2004). Statistics without maths for psychology: Using SPSS for Windows. London, UK: Prentice Hall. Dinno, A. (2009). Exploring the sensitivity of Horn's parallel analysis to the distributional form