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Articles - online only

Analysis of Variance: The Fundamental Concepts

Pages 27E-38E | Published online: 18 Jul 2013

REFERENCES

  • Wackerly DD, Mendenhall W III, Scheaffer RL. Mathematical Statistics with Applications. 6th ed. Pacific Grove, CA: Druxbury Press, 2002.
  • Shapiro SS, Wilk MB. An analysis of variance test for normality (complete samples). Biometrika 1965; 52:591–611.
  • D’Agnostino RB. An omnibus test for normality of moderate and large size samples. Biometrika 1971; 58:341–348. 4. Tabachnick BG, Fidell LS. Using Multivariate Statistics. 5th ed. New York: Pearson Education, 2007.
  • Levene H. Robust tests for the equality of variance test for normality. In Olkin I, ed. Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Palo Alto: Stanford University Press, 1960.
  • Brown MB, Forsythe AB. Robust tests for the equality of variances. Journal of the American Statistical Association 1974; 69:364–367.
  • Zar JH. Biostatistical Analysis. Upper Saddle River, NJ: Prentice Hall, 1998.
  • Daniel WW. Biostatistics: A Foundation for Analysis in the Health Sciences. 7th ed. Hoboken, NJ: John Wiley & Sons, Inc., 1999.
  • Box GEP. Non-normality and tests on variances. Biometrika 1953; 40:318–335.
  • Box GEP. Some theorems on quadratic forms applied in the study of analysis of variance problems: I. Effect of inequality of variance in the one way classification. Annals of Mathematical Statistics 1954; 25:290–302.
  • Wilkinson L, Blank G, Gruber C. Desktop Data Analysis with SYSTAT. Upper Saddle River, New Jersey: Prentice Hall, 1996.
  • Sidàk Z. Rectangular confidence region for the means of multivariate normal distributions. Journal of the American Statistical Association 1967; 62:626–633.
  • Holm S. A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics 1979; 6:65–70.
  • Hochberg Y. A sharper Bonferroni procedure for multiple tests of significance. Biometrika 1988; 7:800–802.
  • Huang Y. Hochberg’s step-up method: Cutting corners off Holm’s step-down method. Biometrika 2007; 94:965–975.
  • Toothaker L. Multiple Comparisons for Researchers. New York, NY: Sage Publications, 1991.
  • Cabral HJ. Multiple Comparisons Procedures. Circulation 2008; 117:698–701.
  • Wilkinson L and the Task Force on Statistical Inference. Statistical methods in psychology journals. American Psychologist 1999;54:594–604.
  • D’Agostino RB, Massaro J, Kwan H, Cabral H. Strategies for dealing with multiple treatment comparisons in confirmatory clinical trials. Drug Information Journal 1993; 27: 625–641.
  • Cook C. Clinimetrics Corner: Use of effect sizes in describing data. J Man Manip Ther 2008; 16:E54-E5.
  • Cohen J. Eta-squared and partial eta- squared in fixed factor ANOVA designs. Educational and Psychological Measurement 1973; 33:107–112.
  • Cohen J. Statistical Power Analysis for the Behavioral Sciences. 2nd ed. Hillsdale, NJ: Lawrence Erlbaum, 1988.
  • Keppel G. Design and Analysis: A Researcher’s Handbook. 2nd ed. Englewood Cliffs, NJ: Prentice Hall, 1982.
  • Levine TR, Hullett CR. Eta squared, partial eta squared, and misreporting of effect size in communication research. Human Communication Research 2002; 28:612–625.
  • Pierce CA, Block RA, Aguinis H. Cautionary note on reporting eta-squared values from multifactor ANOVA designs. Educational and Psychological Measurement, 2004; 64:916–924.
  • Norman GR, Streiner DL. Biostatistics The Bare Essentials. Hamilton, Ontario: B.C. Decker Inc., 1998.
  • Portney LG, Watkins MP. Foundations of Clinical Research. Applications to Practice. 3rd ed. Upper Saddle River, NJ: Pearson Education Inc., 2009.

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