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Correct Confidence Intervals for Various Regression Effect Sizes and Parameters: The Importance of Noncentral Distributions in Computing Intervals
Abstract
The advantages that confidence intervals have over null-hypothesis significance testing have been presented on many occasions to researchers in psychology. This article provides a practical introduction to methods of constructing confidence intervals for multiple and partial R 2 and related parameters in multiple regression models based on “noncentral” F and χ 2 distributions. Until recently, these techniques have not been widely available due to their neglect in popular statistical textbooks and software. These difficulties are addressed here via freely available SPSS scripts and software and illustrations of their use. The article concludes with discussions of implications for the interpretation of findings in terms of noncentral confidence intervals, alternative measures of effect size, the relationship between noncentral confidence intervals and power analysis, and the design of studies.
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Cohen, J. (1994) · American Psychologist · doi:10.1037/0003-066x.49.12.997 · Cited by 4,003
Statistical methods in psychology journals: Guidelines and explanations.
Wilkinson, L., & Task Force on Statistical Inference (1999) · American Psychologist · doi:10.1037/0003-066x.54.8.594 · Cited by 2,791
Cited by
Lakens, D. (2013) · Frontiers in Psychology · doi:10.3389/fpsyg.2013.00863 · Cited by 10,303
Effect size, confidence interval and statistical significance: a practical guide for biologists
Nakagawa, S., & Cuthill, I. C. (2007) · Biological Reviews · doi:10.1111/j.1469-185x.2007.00027.x · Cited by 3,835
Preacher, K. J., & Kelley, K. (2011) · Psychological Methods · doi:10.1037/a0022658 · Cited by 3,060
Ellis, P. D. (2010) · doi:10.1017/cbo9780511761676 · Cited by 2,461
Considerations in determining sample size for pilot studies
Hertzog, M. A. (2008) · Research in Nursing & Health · doi:10.1002/nur.20247 · Cited by 2,337
Metadata
- Authors
- Smithson, M.
- Venue
- Educational and Psychological Measurement
- Publisher
- SAGE Publications
- Published
- 2001-08
- Volume
- 61
- Issue
- 4
- Pages
- 605-632
- ISSN
- 0013-1644 (ISSN-L)
- 1552-3888
- OpenAlex
- W2065026925
- Cited by
- 274
- References
- 2
- FWCI
- 12.69
- Type
- journal article
- Language
- en
- Open access
- closed
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