FigureĀ 2
A line graph showing critical F value, alpha, and beta distributions.The line graph displays the critical F value of 1.9711. The graph includes two curves: a red curve representing the alpha distribution and a blue dashed curve representing the beta distribution. The x-axis ranges from 0 to 5, and the y-axis ranges from 0 to 0.8. The critical F value is marked by a vertical green line at approximately 1.9711. The red curve peaks around 1 on the x-axis and then declines, while the blue dashed curve rises and falls more gradually. The graph is part of a statistical analysis for linear multiple regression, specifically for a fixed model, R squared deviation from zero. The input parameters include an effect size of 0.15, an alpha error probability of 0.05, a power of 0.8, and 9 predictors. The output parameters include a noncentrality parameter of 17.1000000, a critical F value of 1.9711129, 9 numerator degrees of freedom, 104 denominator degrees of freedom, a total sample size of 114, and an actual power of 0.8043554. All values are approximated.

Derivation of minimum sample size

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