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An Investigation of the Restraints with Respect to Sample Size Commonly Imposed on the Use of the Chi-Square Statistic
Abstract
This empirical study of the chi-square approximations as commonly encountered in behavioral research involved: (1) both tests of goodness-of-fit and of independence, (2) uniform distributions and two levels of departure from uniform, (3) sample sizes ranging from 10 to 100. Excellent approximations were obtained with average expected frequencies of one or two in tests of goodness-of-fit to uniform; slightly higher expected frequencies were required with the non-uniform cases. Tests of independence were strikingly robust with respect to Type I errors; in almost all cases the errors were in the conservative direction.
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Citations
Cites
Some Methods for Strengthening the Common χ 2 Tests
Cochran, W. G. (1954) · Biometrics · doi:10.2307/3001616 · Cited by 3,718
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Chi-squared and Fisher-Irwin tests of two-by-two tables with small sample recommendations
Campbell, I. (2007) · Statistics in Medicine · doi:10.1002/sim.2832 · Cited by 912
Somatic mutation and recombination test in Drosophila melanogaster
Graf, U., Würgler, F. E., Katz, A. J., Frei, H., Juon, H., Hall, C. B., & Kale, P. G. (1984) · Environmental Mutagenesis · doi:10.1002/em.2860060206 · Cited by 677
Comparison of Some Statistical Techniques for Analysis of Resource Selection
Alldredge, J. R., & Ratti, J. T. (1986) · The Journal of Wildlife Management · doi:10.2307/3801507 · Cited by 398
Statistical test for the comparison of samples from mutational spectra
Adams, W. T., & Skopek, T. R. (1987) · Journal of Molecular Biology · doi:10.1016/0022-2836(87)90669-3 · Cited by 286
Metadata
- Authors
- Roscoe, J. T., & Byars, J. A.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1971-12
- Volume
- 66
- Issue
- 336
- Pages
- 755-759
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2086802698
- Cited by
- 233
- References
- 1
- FWCI
- 3.42
- Type
- journal article
- Language
- en
- Open access
- closed
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- Roscoe, J. T., & Byars, J. A. (1971). An Investigation of the Restraints with Respect to Sample Size Commonly Imposed on the Use of the Chi-Square Statistic. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1971.10482341
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
