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How to find the power of t test in R?
To find the power of t test, we can use pwr.t.test function of pwr package where we can pass the arguments for type of the test such as one sample or two sample, alternative hypothesis such as one-sided or two-sided, significance level, difference for two samples, and the sample size.
Check out the below examples to understand how it works.
Example 1
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=100,d=1,sig.level=0.05,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 100 d = 1 sig.level = 0.05 power = 0.9999998 alternative = two.sided
Note − n is number in *each* group.
Example 2
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=50,d=1,sig.level=0.05,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 50 d = 1 sig.level = 0.05 power = 0.9986074 alternative = two.sided
Note − n is number in *each* group.
Example 3
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=50,d=1.24,sig.level=0.05,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 50 d = 1.24 sig.level = 0.05 power = 0.9999853 alternative = two.sided
Note − n is number in *each* group.
Example 4
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=50,d=1.24,sig.level=0.01,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 50 d = 1.24 sig.level = 0.01 power = 0.9997823 alternative = two.sided
Note − n is number in *each* group.
Example 5
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=50,d=1.24,sig.level=0.10,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 50 d = 1.24 sig.level = 0.1 power = 0.9999968 alternative = two.sided
Note − n is number in *each* group.
Example 6
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=500,d=1.24,sig.level=0.10,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 500 d = 1.24 sig.level = 0.1 power = 1 alternative = two.sided
Note − n is number in *each* group.
Example 7
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=500,d=12,sig.level=0.10,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 500 d = 12 sig.level = 0.1 power = 1 alternative = two.sided
Note − n is number in *each* group.
Example 8
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=25,d=12,sig.level=0.10,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 25 d = 12 sig.level = 0.1 power = 1 alternative = two.sided
Note − n is number in *each* group.
Example 9
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=25,d=2,sig.level=0.05,type="two.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 25 d = 2 sig.level = 0.05 power = 0.9999997 alternative = two.sided
Note − n is number in *each* group.
Example 10
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=20,d=0,sig.level=0.05,type="one.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the one-sample t test power calculation −
n = 20 d = 0 sig.level = 0.05 power = 0.05 alternative = two.sided
Example 11
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=20,d=0.78,sig.level=0.05,type="one.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the two-sample t test power calculation −
n = 20 d = 0.78 sig.level = 0.05 power = 0.9110511 alternative = two.sided
Example 12
To find the power of t test in R, use the code given below −
library("pwr") pwr.t.test(n=20,d=1.5,sig.level=0.05,type="one.sample",alternative="two.sided")
If you execute the above given code, it generates the following output for the one-sample t test power calculation −
n = 20 d = 1.5 sig.level = 0.05 power = 0.9999941 alternative = two.sided