Journals / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2021 / Cilt: 25 - Sayı: 1

ANOM Test as an Alternative Approach to Group Comparisons

Grup Karşılaştırmalarında Alternatif Bir Yaklaşım Olarak ANOM Testi

Pages
89–98
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Kruskal Wallis and Non Parametric ANOM results are different, which was found.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this study is ANOM or Non Parametric ANOM test can be used approach as an alternative to ANOVA or Kruskal Wallis method in that all groups are equal and at least one alternative hypothesis is different.
📊
Key Findings & Data:Data taken from the official statistics page of YÖK and 6 faculties were selected and hypothesis that there is difference in terms of number of students, number of academician and number of student for each academician between the faculties is tested using R software "ANOM" package.
💡
Conclusion & Impact:Kruskal Wallis and Non Parametric ANOM results are different, which was found.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:ANOM · Ortalamaların analizi · Yükseköğrenim

Abstract

The aim of this study is ANOM or Non Parametric ANOM test can be used approach as an alternative to ANOVA or Kruskal Wallis method in that all groups are equal and at least one alternative hypothesis is different. Data taken from the official statistics page of YÖK and 6 faculties were selected and hypothesis that there is difference in terms of number of students, number of academician and number of student for each academician between the faculties is tested using R software "ANOM" package. Because Data is non normal, Non Parametric ANOM test is used. According to Non Parametric ANOM, number of students in Faculty of Education (p=0.023) and Faculty of Arts and Science (p=0.033) were higher than sample mean; Faculty of Medicine and Faculty of Healthy Science (p<0.001) were lower than sample mean. Number of academician in Faculty of Medicine (p<0.001) and Faculty of Arts and Science (p=0.004) were higher than sample mean; Faculty of Economics and Administrative Science (p<0.001) and Faculty of Healthy Science (p<0.001) were lower than sample mean. Number of student for each academician in Faculty of Education (p=0.001) and Faculty of Economics and Administrative Science (p<0.001) were higher than sample mean; Faculty of Healthy Science (p<0.001) was lower than sample mean. Kruskal Wallis and Non Parametric ANOM results are different, which was found.

Özet

Bu çalışmanın amacı tüm grupların aynı anda eşit olmasına ve alternatif hipotez olarak en az birinin farklı olmasına ilişkin hipotez testinde ANOVA veya Kruskal Wallis yöntemine alternatif bir yaklaşım olarak Standart ANOM veya Parametrik Olmayan ANOM testinin kullanılabilir olduğunu göstermektir. Veriler YÖK resmi istatistik sayfasından alınmış olup, 6 fakülte arasında öğrenci, öğretim üyesi sayısı ve öğretim üyesi başına düşen öğrenci sayısı açısından fark olup olmadığı hipotezleri R yazılımı ”ANOM” paketi kullanılarak test edilmiştir. Verilerin normal dağılıma uygun olmamasından dolayı, Parametrik Olmayan ANOM testi kullanılmıştır. Parametrik Olmayan ANOM’a göre Eğitim Bilimleri Fakültesi (p=0,023) ve Fen Edebiyat Fakültesindeki (p=0,033) öğrenci sayısı genel ortalamaya göre yüksek; Tıp Fakültesi ve Sağlık Bilimleri Fakültesi (p<0,001) ise genel ortalamaya göre düşük bulunmuştur. Tıp Fakültesi (p<0,001) ve Fen Edebiyat Fakültesindeki (p=0,004) öğretim üyesi sayısı genel ortalamaya göre yüksek; İktisadi-İdari Bilimler Fakültesi (p<0,001) ve Sağlık Bilimleri Fakültesi (p<0,001) ise genel ortalamaya göre düşük bulunmuştur. Eğitim Bilimleri Fakültesi (p=0,001) ve İktisadi-İdari Bilimler Fakültesindeki (p<0,001) öğretim üyesi başına düşen öğrenci sayısı genel ortalamaya göre yüksek; Tıp Fakültesi (p<0,001) ise genel ortalamaya göre düşük bulunmuştur. Parametrik Olmayan ANOM sonuçları ile Kruskal Wallis sonuçları birbirinden farklı bulunmuştur.

🔖

Cite This Article

ÖZALTINDİŞ, T., KÖSE, A. M., ÖZDAMAR, E. Ö. (2021). ANOM Test as an Alternative Approach to Group Comparisons. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 25 - Sayı: 1, 89–98. https://ajindex.com/articles/309793

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. Tabachnick, B.G. and Fidell, L.S. (2013) Using Multivariate Statistics. 6th ed. Pearson Education, Boston
  2. Mendeş, M. (2015) Uygulamalı Bilimler İçin İstatistik ve Araştırma Yöntemleri. 2nd ed. Kriter Yayın Evi, İstanbul
  3. Wludyka, P.S., Nelson, P.R., and Silva, P.R. (2001) Power Curves for The Analysis of Means for Variances. Journal of Quality Technology. 33 (1), 60–65
  4. Halperin, M., Greenhouse, S.W., Cornfield, J., and Zalokar, J. (1955) Tables of Percentage Points for the Studentized Maximum Absolute Deviate in Normal Samples. Journal of American Statistical Ssociation. 50 185–195
  5. Ott, E.R. (1967) Analysis of Means - a Graphical Procedure. Journal of Quality Technology. 24 101–109
  6. Schilling, E.G. (1973) Systematic Approach To the Analysis of Means - 1. Analysis of Treatment Effect. Journal of Quality Technology. 5 (3), 93–108
  7. Wludyka, P.S. (1999) Non-Parametric Analysis of Means Type Tests for Homogeneity of Variances. Journal of Applied Statistics. 26 (2), 243–256
  8. Sheesley, J.H. (1980) Comparison of K Samples Involving Variables or Attribute Data Using The Analysis of Means. Journal of Quality Techology. 12 (1), 47–52
  9. Sheesley, J.H. (1981) Factors for Analysis of Means When The Standard Deviation is Estimated with The Range. Journal of Quality Technology. 13 (3), 184–185
  10. Ohta, H. (1981) A Procedure for Pooling Data by The Analysis of Means. Journal of Quality Technology. 13 (2), 115–119
  11. Wludyka, P.S. and Nelson, P.R. (1997) Analysis-of-Means-Type Test for Variances from Normal Populations. Technometrics 39. 274–285
  12. Wludyka, P.S. and Nelson, P.R. (1997) Analysis of Means Type Tests for Variances Using Jackknifing and Subsampling. American Journal of Mathematical and Management Sciences. 17 (1–2), 31–60
  13. West, R. (2009) The multiple facets of cigarette addiction and what they mean for encouraging and helping smokers to stop. COPD: Journal of Chronic Obstructive Pulmonary Disease. 6 (4), 277–283
  14. Nelson, P.R. (1985) Power curves for the analysis of means. Technometrics. 27 (1), 65–73
  15. Nelson, P.R. (1993) Additional uses for the analysis of means and extended tables of critical values. Technometrics. 35 (1), 61–71
  16. Nelson, P.R. (1983) A Comparison of Sample Sizes for The Analysis of Means and The Analysis of Variance. Journal of Quality Technology. 15 (1), 33–39
  17. Ryan, T.P. (1978) Modern Experimental Design. John Wiley & Sons Inc, New Jersey
  18. Mendeş, M. and Yiğit, S. (