Confidence Intervals for an Effect Size Measure in Multiple Linear Regression
Bibliographic Data
| ID | 20282966 |
|---|---|
| Authors | James Algina (0000-0001-6924-655X, University of Florida), H J Keselman (University of Manitoba), Randall D Penfield (University of Miami) |
| Year | 2007 |
| Volume | 67 |
| Issue | 2 |
| Pages | 207-218 |
| Publication date | 2007-04-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Educational and Psychological Measurement (JOURNAL) |
| Journal identifiers | ISSN: 0013-1644 • E-ISSN: 1552-3888 |
| Publisher | SAGE Publications (PUBLISHER • US) |
| DOI | 10.1177/0013164406292030 |
| OpenAlex | W2083403230 |
| Language | EN |
| Citations received | 7 |
| References cited | 9 |
The increase in the squared multiple correlation coefficient (ΔR 2 ) associated with a variable in a regression equation is a commonly used measure of importance in regression analysis. The coverage probability that an asymptotic and percentile bootstrap confidence interval includes Δρ 2 was investigated. As expected, coverage probability for the asymptotic confidence interval was often inadequate (outside the interval .925 to .975 for a 95% confidence interval), even when sample size was quite large (i.e., 200). However, adequate coverage probability for the confidence interval based on a bootstrap interval could typically be obtained with a sample size of 200 or less, and moreover, this accuracy was obtained with relatively small sample sizes (100 or less) with six or fewer predictors
CDF-based nonparametric confidence interval · Confidence distribution · Confidence interval · Coverage probability · Linear regression · Measure (data warehouse) · Percentile · Regression · Regression analysis · Robust confidence intervals · Sample size determination · Statistics · Tolerance interval · Advanced Statistical Methods and Models · Computer Science · Mathematics · Optimal Experimental Design Methods · Statistical Methods and Applications
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| Unique citing works | 7 |
|---|---|
| Citations per year | 0,39 |
| Citation span | 2008 - 2020 (13) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 7 |