Confidence Levels in Statistical Analyses. Analysis of Variances. Case Study.
Keywords:
Analysis of variance, Tukey test, statistical estimation, confidence intervals, graphic representationAbstract
Applying a statistical test to check statistical assumptions offers a positive or negative response regarding the veracity of the issued hypothesis. In case of variance analysis it’s necessary to apply a post hoc test to determine differences within the group. Statistical estimation using confidence levels provides more information than a statistical test, it shows the high degree of uncertainty resulting from small samples and builds conclusions in terms of "marginally significant" or "almost significant (p being close to 0,05) . The case study shows how the statistical estimation completes the application form the analysis of variance test and Tukey test.
References
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Snedecor, G.W. and Cochran, W.G. (1989), Statistical Methods, 8th Edition, Ames, IA: Iowa State University Press
John W. Tukey, One Degree of Freedom for Non-Additivity, Biometrics, Vol. 5, No. 3 (Sep., 1949), pp. 232-242, Published by: International Biometric Society, Stable URL: http://www.jstor.org/stable/3001938
