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Conditions for the Effectiveness of a Preliminary Test of Variance
Abstract
We evaluate the performance of the F test for the equality of two variances as a preliminary test to determine the appropriateness of the two-sample t test. When sampling is from a normal distribution, our results indicate that, for equal sample sizes, the t test is insensitive to variance heterogeneity and hence no preliminary test is necessary. For unequal sample sizes, the F test has small probability of detecting many alternatives for which the t test performs poorly, and so the F test is not an effective preliminary test. When sampling is from other distributions, our results confirm the sensitivity of the F test to the normality assumption.
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Equality of variances was evaluated according to tests proposed by Brown and Forsythe and Markowski and Markowski.
“Equality of variances was evaluated according to the tests proposed by Brown and Forsythe68 and Markowski and Markowski69.”
From Effect of long-term caloric restriction on DNA methylation measures of biological aging in healthy adults from the CALERIE trial (2023) · cites this paper as [69]
Citations
Cites
An Approximate Distribution of Estimates of Variance Components
Satterthwaite, F. E. (1946) · Biometrics Bulletin · doi:10.2307/3002019 · Cited by 4,373
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Research works printed but not linked: 12
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Ruxton, G. D. (2006) · Behavioral Ecology · doi:10.1093/beheco/ark016 · Cited by 1,988
Waziry, R., Ryan, C. P., Corcoran, D. L., Huffman, K. M., Kobor, M. S., Kothari, M., Graf, G. H., Kraus, V. B., Kraus, W. E., Lin, D. T. S., et al. (2023) · Nature Aging · doi:10.1038/s43587-022-00357-y · Cited by 217
Source Attribution Study of Sporadic Salmonella Derby Cases in France
Sévellec, Y., Granier, S. A., Le Hello, S., Weill, F.-X., Guillier, L., Mistou, M.-Y., & Cadel-Six, S. (2020) · Frontiers in Microbiology · doi:10.3389/fmicb.2020.00889 · Cited by 41
Metadata
- Authors
- Markowski, C. A., & Markowski, E. P.
- Venue
- The American Statistician
- Publisher
- Informa UK Limited
- Published
- 1990-11
- Volume
- 44
- Issue
- 4
- Pages
- 322-326
- ISSN
- 0003-1305
- 1537-2731
- Cited by
- 190
- References
- 1
- Language
- en
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