Confidence Intervals, Power Calculation, and Sample Size Estimation for the Squared Multiple Correlation Coefficient under the Fixed and Random Regression Models: A Computer Program and Useful…

By Jorge Mendoza, Karen L. Stafford. 2001

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A Communication Researchers' Guide to Null Hypothesis Significance Testing and Alternatives. (2008, methodology): “It is also the case that calculations of confidence intervals differ depending on whether random or fixed-effects designs are being used (Mendoza & Stafford, 2001).”
Detecting Interaction Effects in Moderated Multiple Regression With Continuous Variables Power and Sample Size Considerations (2009, background): “Similar emphasis and related implication can be found in Dunlap, Xin, and Myers (2004), Gatsonis and Sampson (1989), Mendoza and Stafford (2001), and Shieh (2006, 2007).”
Statistical power analyses using G*Power 3.1: Tests for correlation and regression analyses (2009, background): “Several programs exist that can be used to assess the power for random-model tests (e.g., Dunlap, Xin, & Myers, 2004; Mendoza & Stafford, 2001; Shieh & Kung, 2007; Steiger & Fouladi, 1992).”
Improved Shrinkage Estimation of Squared Multiple Correlation Coefficient and Squared Cross-Validity Coefficient (2008, background): “…(1989), Mendoza and Stafford (2001), Shieh (2006), and Steiger and Fouladi (1992) for the squared multiple correlation coefficient, and Algina and Keselman (2000), Cattin (1980), Fowler (1986), Mendoza and Stafford (2001), and Park and Dudycha (1974) for the squared cross-validity coefficient.”