Notice how the sample size changed as the required alpha level of statistical significance was increased. Describe the changes and how this influences the choice of a statistical significance level for an a priori sample size determination.

[1] -- Wednesday, October 27, 2021 -- 12:26:18 F tests - Linear multiple regression: Fixed model, R2 deviation from zero Analysis : A priori: Compute required sample size Input : Effect size f2 = 0 . 15 a err prob = 0 . 05 Power (1-B err prob) . 80 Number of predictors = 2 Output : Noncentrality parameter A 10 . 2000000 Critical F 3. 1381419 Numerator df 2 Denominator df = 65 Total sample size 68 Actual power 0 . 8044183[1] -- Wednesday, October 27, 2021 -- 12:27:07 F tests - Linear multiple regression: Fixed model, R2 deviation from zero Analysis : A priori: Compute required sample size Input : Effect size f2 0 . 15 a err prob . 01 Power (1-B err prob) = . 80 Number of predictors 2 Output : Noncentrality parameter A 14 . 7000000 Critical F 4. 8358007 Numerator df 2 Denominator df 95 Total sample size 98 Actual power 0. 8042797] -- Wednesday, October 27, 2021 -- 12:27:40 F tests - Linear multiple regression: Fixed model, R2 deviation from zero Analysis : A priori: Compute required sample size Input : Effect size f2 0. 15 a err prob = . 001 Power (1-B err prob) . 80 Number of predictors 2 Output : Noncentrality parameter A 20 . 8500000 Critical F = 7. 2708048 Numerator df 2 Denominator df 136 Total sample size 139 Actual power 0 . 8044708