various wikipedia articles
Wolfram MathWorld (http://mathworld.wolfram.com)
NIST/SEMATECH e-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/, https://doi.org/10.18434/M32189.
Press, W.H., Flannery, B.P., Teukolsky, S.A., and W.T. Vetterling. Numerical recipes in C: The art of scientific computing. Cambridge: Cambridge University Press, 1988. ISBN 0-521-35465-X (t-test; check general stats functions like betai)
Rohlf, F.J. and R.R. Sokal. Statistical Tables. Second edition. New York: W.H. Freeman, 1981. ISBN 0-7167-1258-X (Tables used to confirm algorithmic results).
Sokal, R.R. and F.J. Rohlf. Biometry: The principles and practices of statistics in biological research. Second edition. New York: W.H. Freeman, 1981. ISBN 0-7167-1254-7 (One-way ANOVA, Tukey-Kramer)
(Fortran algorithms ported to C for use in Tukey-Kramer post-hoc calculations from http://lib.stat.cmu.edu/apstat/)
Beasley, J.D. and S. G. Springer. Algorithm AS 111: The Percentage Points of the Normal Distribution. Journal of the Royal Statistical Society. Series C (Applied Statistics), 26 (1977) 118-121. http://www.jstor.org/stable/2346889; http://lib.stat.cmu.edu/apstat/111
Hill, I.D. Algorithm AS 66: The Normal Integral. Journal of the Royal Statistical Society. Series C (Applied Statistics), 22 (1973) 424-427. http://www.jstor.org/stable/2346800; http://lib.stat.cmu.edu/apstat/66
Lund, R.E. and J.R. Lund. Algorithm AS 190: Probabilities and Upper Quantiles for the Studentized Range. Journal of the Royal Statistical Society. Series C (Applied Statistics), 32 (1983) 204-210. http://www.jstor.org/stable/2347300;. http://lib.stat.cmu.edu/apstat/190
Applied Linear Statistical Models (McGraw-Hill/Irwin Series Operations and Decision Sciences) Kutner, Michael H, Nachtsheim, Christopher J., Neter, John, Li, William ISBN 10: 0072386886 / ISBN 13: 9780072386882 Published by McGraw-Hill/Irwin (edition 5), 2004
Rohlf, F.J. and R.R. Sokal. Statistical Tables. Second edition. New York: W.H. Freeman, 1981. ISBN 0-7167-1258-X (Tables used to confirm algorithmic results).
Sokal, R.R. and F.J. Rohlf. Biometry: The principles and practices of statistics in biological research. Second edition. New York: W.H. Freeman, 1981. ISBN 0-7167-1254-7 (One-way ANOVA, Tukey-Kramer)
Cardinal, R.N. and M.R.F. Aitken. ANOVA for the behavioural sciences researcher. New Jersey: Lawrence Erlbaum Assoc., 2006. ISBN 0-8058-5586-6. (one-way and two-way mixed ANOVAs with repeated measures)
Milliken, G. A., & Johnson, D. E. (1992). Analysis of messy data: Vol. I. Designed experiments. New York: Chapman & Hall.
BLAS and LINPACK
One-Way ANOVA
based on Sokal and Rohlf, Biometry, 2nd Edition, 1981, p. 211-213; means model based on Messy Data Chapter 1
One-Way ANOVA with repeated measures
based on Cardinal & Aitken Section 2.7
Two-Way ANOVA
based on Cardinal & Aitken section 2.6; if unbalanced groups, then based on means model of Messy Data Chapter 9
Two-Way Mixed ANOVA (with one repeated measure)
T-Test
formula for t-test with UNequal variance; see Numerical Recipes in C (1988), Chapter 13.4, p. 484
Bonferroni
Fisher's Least Significant Difference (LSD)
Sokal and Rohlf, Biometry, 2nd Edition, 1981 page 244; Milliken and Johnson, Analysis of Messy Data. Volume 1: Designed Experiments, 1992, p. 32-33
Tukey-Kramer
method of post-hoc comparisons of multiple groups with unequal sample sizes; see Sokal and Rohlf, Biometry, 2nd Edition, 1981 page 251-252*
Newman-Keuls