In this research, we develop a strategy for using a range estimator of σ when determining a sample size for estimating a mean. Previous research by Rhiel is extended to provide dn values for use in calculating a range estimate of σ when working with sampling frames up to size 1,000,000. This allows the use of the range estimator of σ with “big data.” A strategy is presented for using the range estimator of σ for determining sample sizes based on the dn values developed in this study.
AndersonD.SweeneyD.WilliamsT. (2016) Essentials of modern business statistics with microsoft office excel, 6th ed. Mason, OH: South Western/Cengage.
2.
BerensonLevineKrebiel (2013) Basic business statistics: Concepts and applications, 13th ed. Upper Saddle River, NJ: Pearson/Prentice Hall.
3.
BlackK. (2010) Business statistics: For contemporary decision making, 8th ed. New York: Wiley.
4.
BrowneR. (2001) Using the sample range as a basis for calculating sample size in power calculations. The American Statistician55: 4, doi:10.1198/000313001753272420.
5.
CochranW. (1977) Sampling techniques, 3rd ed. New York: John Wiley.
6.
CoxD. R. (1952) Estimation by double sampling. Biometrika39: 217–227.
7.
DanielW.TerrellJ. (1995) Business statistics: For management and economics, 7th ed. Boston, MA: Houghton Mifflin.
RhielG. (1989) An improved range estimator of sigma for determining sample sizes. Communications in Statistics: Simulation and Computation18(4): 1295–1309. doi:10.1080/03610918908812822.
12.
SinghC. (1976) Moments of samples from non-normal populations. Journal of Statistical Computation and Simulation24: 71–82.