Tables of Range and Studentized Range
Harter, H. Leon
Ann. Math. Statist., Tome 31 (1960) no. 4, p. 1122-1147 / Harvested from Project Euclid
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 $W = w/\sigma$ 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 $\nu = 1 (1) 20, 24, 30, 40, 60, 120$, and $\infty$ for the independent estimate $s^2$ of the population variance. All tabular values are accurate to within a unit in the last place.
Publié le : 1960-12-14
Classification: 
@article{1177705684,
     author = {Harter, H. Leon},
     title = {Tables of Range and Studentized Range},
     journal = {Ann. Math. Statist.},
     volume = {31},
     number = {4},
     year = {1960},
     pages = { 1122-1147},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177705684}
}
Harter, H. Leon. Tables of Range and Studentized Range. Ann. Math. Statist., Tome 31 (1960) no. 4, pp.  1122-1147. http://gdmltest.u-ga.fr/item/1177705684/