The Application of Analysis of Variance (ANOVA)

분산분석

  • Pak, Son-Il (School of Veterinary Medicine and Institute of Veterinary Science, Kangwon National University) ;
  • Oh, Tae-Ho (College of Veterinary Medicine, Kyungpook National University)
  • 박선일 (강원대학교 수의과대학 및 동물의학종합연구소) ;
  • 오태호 (경북대학교 수의과대학)
  • Published : 2010.02.28

Abstract

Analysis of variance (ANOVA) is a method to analyze the data from the experimental designs comparing two or more groups or treatments at the same time, and is the most effective tool of analyzing more complex data sets with different source of variations. This article describes the logic of ANOVA, the application of the method to the analysis of a simple data set, and the methods available for performing planned or post hoc multiple comparisons between the treatments means. In addition, the common misuse of the techniques is also discussed to emphasize that an inappropriate statistical analysis is potentially far more harmful than poorly conducted research. Lastly, an example is given for illustration purposes.

Keywords

References

  1. 박선일, 이영원. 자료분석의 기초. 한국임상수의학회지 2009; 26: 189-199.
  2. Altman DG. Practical statistics for medical research. London, England: Chapman & Hall, CRC, 1997.
  3. Armitage P, Berry G. Statistical Methods in Medical Research, 3rd ed. Blackwell Scientific Publications, Oxford, 1994.
  4. Armstrong RA, Eperjesi F, Gilmartin B. The application of analysis of variance (ANOVA) to different experimental designs in optometry. Ophthal Physiol Opt 2002; 22: 248-256. https://doi.org/10.1046/j.1475-1313.2002.00020.x
  5. Daniel WW. Applied nonparametric statistics. 2nd ed. Thompson Information Publishing Group, Boston, 1990.
  6. Glantz SA, Slinker BK. Primer of applied regression and analysis of variance. McGraw-Hill, New York, 1990.
  7. Kristensen M, Hansen T. Statistical analyses of repeated measures in physiological research: a tutorial. Adv Physiol Educ 2004; 28: 2-14. https://doi.org/10.1152/advan.00042.2003
  8. Ludbrook J. Repeated measurements and multiple comparisons in cardiovascular research. Cardiovasc Res 1994; 28: 303-311. https://doi.org/10.1093/cvr/28.3.303
  9. Montgomery DC. Design and analysis of experiments. 4th ed. John Wiley & Sons, NY. 1997: 681.