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Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data

Cilt: 12 Sayı: 1 15 Haziran 2022
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Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data

Öz

In this study, how the contrast analysis is performed in a two-way factorial design consisting of contrast estimates containing specific questions determined to investigate the specific differences between averages was examined in detail. For this purpose, after determining the hypotheses to determine the main effects, contrast coefficients suitable for each hypothesis were created and contrast analysis was performed. In the study, some of the data obtained from the cotton trials conducted in the Field Crops Department of the KSU Faculty of Agriculture were used with permission. Cotton varieties, years and interaction effects were evaluated using the R and SPSS 21.0 package programs. With the use of contrast, while performing two-factor analysis, first the main effects were investigated and then the interaction effects were investigated. Among the estimates made with 1 degree of freedom within the main effect A, the contrast estimation showed the greatest effect (rcontrast=0.7901). Later, among the estimates made with 1 degree of freedom within the main effect B, the contrast estimation showed the greatest effect (rcontrast=0.6370). Likewise, when looking at the interaction effects, it is seen that the effect of the contrast estimation (rcontrast=0.4388) shown by the quadratic effect of is more important, that is, the quadratic effect is more important. As a result, this study showed the researchers where the main effects were found when the average differences in factorial designs were analyzed and gave detailed information about their effect sizes.

Anahtar Kelimeler

Contrast coding, Factorial ANOVA, Cotton, Comparisons, Means

Kaynakça

  1. Abdi, H., Edelman, B., Valentin, D., and Dowling, W.J. (2009). Experimental Design and Analysis for Psychology. New York, USA, Oxford: Oxford University Press.
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  4. Bird, K.D. (2002). Confidence intervals for effect sizes in analysis of variance. Educational and Psychological Measurement, 62,197-226. https://doi.org/10.1177/0013164402062002001
  5. Cohen, J., Cohen, P., West, S.G., and Aiken, L.S. (2013). Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences. Oxford: Routledge.
  6. Çanga, D., Efe, C. (2017). Using Contrasts in One-Way Analysis of Variance with Control Groups and an Application. Journal of Agricultural Science and Technology A: David Publishing: 474-478. USA. https://doi.org/10.17265/2161-6256/2017.07.003
  7. Çanga, D. (2018). Use of Contrast in the Comparison of the Means (Ph.D Thesis) Kahramanmaraş Sütçü Imam University, The Institute of Natural Sciences, Kahramanmaraş, Turkey.
  8. Çanga, D., Yenipınar, A., Karaokur, Ö., Önem, A., and Efe, E. (2019). Contrast Analysis on Single Factorial Studies and Solution with SPSS. Black Sea Journal of Engineering and Science, 2(1), 1-6. https://dergipark.org.tr/tr/pub/bsengineering/issue/42084/469694
  9. Çelik, Ş., and Yılmaz, F.C.O. (2015). Investigation by Different Orthogonal Methods of Body Sizes of Turkish Spotted Horses According to Age Group. COMU Journal of Agriculture Faculty, 3(1), 81-87.
  10. Darlington, R. B., and Hayes, A.F. (2016). Regression Analysis and Linear Models: Concepts, Applications, and Implementation. New York: Guilford Publications.

Kaynak Göster

APA
Çanga, D., & Efe, E. (2022). Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data. Karadeniz Fen Bilimleri Dergisi, 12(1), 229-245. https://doi.org/10.31466/kfbd.1016490
AMA
1.Çanga D, Efe E. Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data. KFBD. 2022;12(1):229-245. doi:10.31466/kfbd.1016490
Chicago
Çanga, Demet, ve Ercan Efe. 2022. “Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data”. Karadeniz Fen Bilimleri Dergisi 12 (1): 229-45. https://doi.org/10.31466/kfbd.1016490.
EndNote
Çanga D, Efe E (01 Haziran 2022) Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data. Karadeniz Fen Bilimleri Dergisi 12 1 229–245.
IEEE
[1]D. Çanga ve E. Efe, “Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data”, KFBD, c. 12, sy 1, ss. 229–245, Haz. 2022, doi: 10.31466/kfbd.1016490.
ISNAD
Çanga, Demet - Efe, Ercan. “Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data”. Karadeniz Fen Bilimleri Dergisi 12/1 (01 Haziran 2022): 229-245. https://doi.org/10.31466/kfbd.1016490.
JAMA
1.Çanga D, Efe E. Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data. KFBD. 2022;12:229–245.
MLA
Çanga, Demet, ve Ercan Efe. “Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data”. Karadeniz Fen Bilimleri Dergisi, c. 12, sy 1, Haziran 2022, ss. 229-45, doi:10.31466/kfbd.1016490.
Vancouver
1.Demet Çanga, Ercan Efe. Contrast Coding in Two-Factor Analysis of Variance Studies: An Application to Cotton Data. KFBD. 01 Haziran 2022;12(1):229-45. doi:10.31466/kfbd.1016490