A Primer on the Understanding, Use, and Calculation of Confidence Intervals that are Based on Central and Noncentral Distributions

By Geoff Cumming, S. Finch. 2001

523 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/d0aaba4f5d2e0bb42e07360a1a651691c9621c97

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Citations in the corpus

Significance, Effect Sizes, Stepwise Methods, and Other Issues: Strong Arguments Move the Field (2001, background): “Fortunately, Cumming and Finch (2001) and Smithson (2001) pro-”
Educational Accommodations for Students With Behavioral Challenges (2013, methodology): “In addition, 95% CIs were calculated using ESCI-delta, a script for Excel developed by Cumming and Finch (2001).”
Cronbach's Alpha: Review of Limitations and Associated Recommendations (2010, background): “The CI therefore gives the “best point estimate of the population parameter of interest and an interval about to reflect likely error – the precision of the estimate” (Cumming and Finch, 2001, p. 533).”
Why P Values Are Not a Useful Measure of Evidence in Statistical Significance Testing (2008, methodology): “Edwards, Lindman, and Savage (1963), Gigerenzer and his colleagues (Gigerenzer, 1993; Gigerenzer et al., 2004; Gigerenzer & Murray, 1987; Gigerenzer et al., 1989), and Nickerson (2000) being notable exceptions— remain unaware of many of the reasons why this index is a defective measure of evidence.”
A Simple Method for Removing Bias From a Popular Measure of Standardized Effect Size: Adjusted Partial Eta Squared (2019, unknown): “Although this is quite complicated in the case of a population effect size, as it requires the use of the noncentral F distribution (e.g., Smithson, 2001; Steiger, 2004; see Cumming & Finch, 2001, for an introduction), calculation of a confidence interval is highly recommended.”
Evaluating the Quality of Evidence from Correlational Research for Evidence-Based Practice (2005, methodology): “Uses of discriminant analysis following MANOVA: Multivariate statistics for multivariate purposes.”
Customer-Centric Science: Reporting Significant Research Results With Rigor, Relevance, and Practical Impact in Mind (2010, background): “For example, Rynes, Colbert, and Brown (2002) assessed how frequently human resource managers read various publications using a scale with the following anchors: 1 (never), 2 (rarely), 3 (sometimes), 4 (usually), and 5 (always).”
Confidence Intervals for Standardized Effect Sizes: Theory, Application, and Implementation (2007, methodology): “Lee (1971) and Ding (1996) provide algorithms for computing various properties of the distribution of R2 for random regressors, which can be used when forming confidence intervals.”
Confidence Intervals for Effect Sizes in Analysis of Variance (2002, methodology): “Although computing these intervals presents some technical challenges (cf. Cumming & Finch, 2001; Smithson, 2001), these difficulties can be overcome with modern software, as we shall see here with regard to the ANOVA case.”
P-curve: a key to the file-drawer. (2014, unknown): “For a more complete yet still accessible introduction see the article by Cumming and Finch (2001), beginning with the last paragraph of page 546.”
Human resource management systems and firm performance (2010, background): “To be sure, however, in each case where the null hypothesis is rejected, the lower and upper limits of the confidence interval do not contain the population value specified by the null hypothesis (Callahan and Reio, 2006; Cummings and Finch, 2001).”
Understanding the Results of Multiple Linear Regression (2013, background): “However, when comparing the metric of one variable to another, overlapping CIs do not necessarily indicate a statistically nonsignificant difference between parameter estimates (see Cumming & Finch, 2001; Zientek, Yetkiner, & Thompson, 2010).”