Question 1
library(pwr)
## Warning: package 'pwr' was built under R version 4.0.5
pwr.t.test(n=NULL,d=-0.5,sig.level=0.05,power=.25,type="two.sample")
##
## Two-sample t test power calculation
##
## n = 14.19047
## d = 0.5
## sig.level = 0.05
## power = 0.25
## alternative = two.sided
##
## NOTE: n is number in *each* group
The number of samples needed is 15.
Question 2
pwr.t.test(n=NULL,d=0.5,sig.level=0.10,power=.85,type="paired")
##
## Paired t test power calculation
##
## n = 30.15891
## d = 0.5
## sig.level = 0.1
## power = 0.85
## alternative = two.sided
##
## NOTE: n is number of *pairs*
The number of samples needed in each group is 31 samples, so 62 samples in total.
library(pwr)
pwr.t.test(n=NULL,d=.5,sig.level=0.05,power=.25,type="two.sample")
pwr.t.test(n=NULL,d=.5,sig.level=0.10,power=.85,type="paired")