Parametric Comparisons Unpaired Unpaired parametric comparison of groups using n, mean, and Standard Deviation :              Unpaired parametric comparison of groups using raw data in 2 columns of group designation and values :              Post hoc Analysis : Least Significant Difference (Tukey) :              Post hoc Analysis : Least Significant Difference (Scheffe) :              Post hoc Analysis : Confidence Interval Between Means :              Nonparametric Comparisons Unpaired Unpaired nonparametric comparison of groups using table of ranked counts :              Unpaired nonparametric comparison of groups using raw data in 2 columns of group designation and values :              Post hoc Analysis : Least Significant Difference Between Mean Ranks :              Permutation Test Unpaired (total sample size n1+n2=6 to 26):              See Unpaired Difference Explanation Page for explanations

Parametric Tests

Confidence Intervals : Altman DG, Machin D, Bryant TN and Gardner MJ. (2000) Statistics with Confidence Second Edition. BMJ Books ISBN 0 7279 1375 1. p. 28-31

Bartlett's Test I have not read this reference, but if is quoted in the nist web site from which I obtained the algorithm. Snedecor, George W. and Cochran, William G. (1989), Statistical Methods, Eighth Edition, Iowa State University Press.

Levene's Test : I have not read this reference, but if is quoted in the nist web site from which I obtained the algorithm. Levene, H. (1960). In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling, I. Olkin et al. eds., Stanford University Press, pp. 278-292.

Formulae : I obtained these from the National Institute of Science and Technology resource website. The urls are handbook index, Bartlett test, and Levene test.

One-Way Analysis of Variance : Armitage P. Statistical Methods in Medical Research (1971). Blackwell Scientific Publications. Oxford. P.189-207. Confidence Intervals : Altman DG, Machin D, Bryant TN and Gardner MJ. (2000) Statistics with Confidence Second Edition. BMJ Books ISBN 0 7279 1375 1. p. 28-31

Least significant difference (Tukey)

Armitage P. Statistical Methods in Medical Research (1971). Blackwell Scientific Publications. Oxford. P.189-207

Steel R.G.D., Torrie J.H., Dickey D.A. Principles and Procedures of Statistics. A Biomedical Approach. 3rd. Ed. (1997)ISBN 0-07-061028-2 p. 191-192

Studentised range tables : Pearson ES, Hartley HO (1966) Biometrika table for statisticians Ed. 3 Table 29.

Least significant difference (Scheffe)

Scheffe H (1959) The Analysis of Variance NY Wiley (quoted by everyone else but I have not read it)

Pedhazur E.J. Multiple regression in behavioral research explanation and prediction (3rd Ed) 1993. Harcourt Brace College Publishers, Orlando Florida. ISBN 0-03-072831-2 p. 369-371

Portney LG, Watkins MP (2000) Foundations of Clinical Research. Applications to Practice (Second Edition) Prentice Hall Health, New Jersey. ISBN 0-8385-2695-0. p. 460-461

Steel R.G.D., Torrie J.H., Dickey D.A. Principles and Procedures of Statistics. A Biomedical Approach. 3rd. Ed. (1997)ISBN 0-07-061028-2 p. 189-190

Confidence interval of difference between means

Bird KD (2002) Confidence Intervals for Effect Sizes in Analysis of Variance. Educational and Psychological Measurements 62:2:197-226

Nonparametric Tests

Siegel S and Castellan Jr. N J (1988) Nonparametric Statistics for the Behavioral Sciences 2nd. Ed. McGraw Hill, Inc. Boston Massachusetts. ISBN 0-07-057357-3

• Wilcoxon Mann Whitney Test p. 128-137.
• Robust Rank Ordered Test also called Mann Whitney U Test p. 137-144.
• Kruskall-Wallis One Way Analysis of Variance p. 206-215.

Least significant difference between mean ranks

Siegel S and Castellan jr. N,J (1988) Nonparametric statistics for the behavioural sciences. McGraw-Hill International Editions Statistics series. ISBN 0-07-057357-3. P213-214.

Dunn's Test

• Zar Z.H. (1974) Biostatistical analysis (3rd.Ed) Prentice Hall, New Jersey. ISBN 0-13-084542-6. p 227-228.
• Table for Q values for Dunn's Test: App. 106 Dunn O.J. (1964) Multiple contrasts using rank sums. Technometrics 6:241:252

Median Test

• Siegel S and Castellan Jr. NJ (2000) Nonparametric Statistics for the Behavioral Sciences. Second Edition. McGraw Hill, Sydney. ISBN0-07-100326-6 p.124 (2 groups), p. 200 (3 or more groups).

Permutation Test

• Siegel S and Castellan Jr. NJ (2000) Nonparametric Statistics for the Behavioral Sciences. Second Edition. McGraw Hill, Sydney. ISBN0-07-100326-6 p. 151-155