Sample Sizes for Confidence Intervals on the Increase in the Squared Multiple Correlation Coefficient
Bibliographic Data
| ID | 20283565 |
|---|---|
| Authors | James Algina (0000-0001-6924-655X), Bradley C Moulder (University of Florida) |
| Year | 2001 |
| Volume | 61 |
| Issue | 4 |
| Pages | 633-649 |
| Publication date | 2001-08-01 |
| 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 | 10.1177/00131640121971400 |
| OpenAlex | W2068023914 |
| Language | EN |
| Citations received | 9 |
| References cited | 11 |
The increase in the squared multiple correlation coefficient (δ R 2 ) associated with a variable in a regression equation is a commonly used measure of importance in regression analysis. The probability that an asymptotic confidence interval will include δρ 2 was investigated. With sample sizes typically used in regression analyses, when δρ 2 = 0.00 and the confidence level is .95 or greater, the probability will be at least .999. For δρ 2 ≥ .01 and a confidence level of .95 or greater, the probability will be smaller than the nominal confidence level. For δρ 2 ≥ .05 and a confidence level of .95, tables are provided for the sample size necessary for the probability to be at least .925 and to be at least .94
CDF-based nonparametric confidence interval · Confidence distribution · Confidence interval · Correlation · Correlation coefficient · Coverage probability · Linear regression · Regression · Regression analysis · Robust confidence intervals · Sample size determination · Statistics · Advanced Statistical Methods and Models · Mathematics · Optimal Experimental Design Methods · Statistical Methods and Inference
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| Unique citing works | 9 |
|---|---|
| Citations per year | 0,38 |
| Citation span | 2002 - 2023 (22) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 9 |