A few papers that may be of interest: All are in PDF format.

Portable Power. This paper states and proves a fundamental theorem relating contrasts to non-centrality parameters, and then derives portable formulas for making power calculations in frequently encountered situations.

Quantile estimators of Johnson curve parameters. Easy quantile estimators are given for the parameters of Johnson curves. The estimators are at least as good as moment estimators.

Eleminating extraneous parameters in linear models when the data is ill-conditioned. Small F-values indicate problems with the assumed model. MSE is used as a criterion to construct tables of critical probabilities for eliminating extraneous terms.