1960/12/01 by H. Leon Harter · 3 citations
Mathematics · #Statistics Education and Methodologies #Advanced Statistical Methods and Models #Statistical Methods and Bayesian Inference
paper · pdf · doi:10.1214/aoms/1177705684
A description is given of the computation of tables of percentage points of the range, moments of the range, and percentage points of the studentized range for samples from a normal population. Percentage points of the (standardized) range W = w/σ corresponding to cumulative probability P = 0.0001, 0.0005, 0.001, 0.005, 0.01, 0.025, 0.05, 0.1 (0.1) 0.9, 0.95, 0.975, 0.99, 0.995, 0.999, 0.9995 and 0.9999 are given to six decimal places for samples of size n = 2 (1) 20 (2) 40 (10) 100. Moments (mean, variance, skewness, and elongation) of the range W are given to eight or more significant figures for samples of size n = 2 (1) 100. Percentage points of the studentized range Q = w/s corresponding to cumulative probability P = 0.9, 0.95, 0.975, 0.99, 0.995, and 0.999 are given to four significant figures or four decimal places, whichever is less accurate, for samples of size n = 2 (1) 20 (2) 40 (10) 100, with degrees of freedom ν = 1 (1) 20, 24, 30, 40, 60, 120, and ∞ for the independent estimate s2 of the population variance. All tabular values are accurate to within a unit in the last place.