Sample Sizes for Confidence Intervals on the Increase in the Squared Multiple Correlation Coefficient

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

• Statistical Power Analysis

  Open Access•Joseph S Rossi•Handbook of Psychology, Second…•2012

  Incluir item

• Toward using confidence intervals to compare correlations.

  Guangyong Zou, Guang Yong Zou•Psychological Methods•2007

  Incluir item

• Is ability-job fit important for work engagement? Evidence from the Irish civil service

  Kathy Monks, Edel Conway et al.•Public Management Review•2023

  Incluir item

• The Standardized Mean Difference within the Framework of Item Response Theory

  Open Access•Wen-Chung Wang, Wen‐chung Wang et al.•Educational and Psychological…•2004

  Incluir item

• Note on a Confidence Interval for the Squared Semipartial Correlation Coefficient

  Open Access•James Algina, Harvey J Keselman et al.•Educational and Psychological…•2008

  Incluir item

• Confidence Intervals for Squared Semipartial Correlation Coefficients

  Open Access•James Algina, H J Keselman et al.•Educational and Psychological…•2010

  Incluir item

• Confidence Intervals for an Effect Size Measure in Multiple Linear Regression

  Open Access•James Algina, H J Keselman et al.•Educational and Psychological…•2007

  Incluir item

• Sample Size Requirements for Accurate Estimation of Squared Semi-Partial Correlation Coefficients

  James Algina, Bradley C Moulder et al.•Multivariate Behavioral Research•2002

  Incluir item

• A Comparative Investigation of Confidence Intervals for IndependentVariables in Linear Regression

  Paul Dudgeon•Multivariate Behavioral Research•2016

  Incluir item

• The advanced theory of statistics

  Alan Stuart, Anthony O'Hagan et al.•The advanced theory of statistics•1969

  Incluir item

• Robustness?

  Open Access•James V Bradley•British Journal of Mathematical…•1978

  Incluir item

• Statistical methods in psychology journals

  Leland Wilkinson, Task Force on Statistical Inference•American Psychologist•1999

  Incluir item

• Measurement error in the analysis of interaction effects between continuous predictors using multiple regression

  James Jaccard, Choi K Wan•Psychological Bulletin•1995

  Incluir item

• Correlations redux

  Ingram Olkin, Jeremy D Finn•Psychological Bulletin•1995

  Incluir item