Moments of the Range of Samples from Nonnormal Populations

Singh, C.

doi:10.1080/01621459.1976.10480982

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“…Samples are simulated from eight symmetric distributions with kurtoses (β 2 ) from 2.00 to 6.48. Singh (1976) found that kurtosis is the distribution parameter that affects the sampling distribution of the mean range. Thus, in this article, we study symmetric distributions of varying kurtosis but not skewness to determine the effect of distribution shape on the standardized mean range.…”

Section: Distributionsmentioning

confidence: 99%

An Update on Using the Range to Estimate σ When Determining Sample Sizes

Rhiel

Markowski

2017

Psychol Rep

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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 d 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 d values developed in this study.

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Section: Distributionsmentioning

confidence: 99%