Nothing
qbinom(0.975,200,0.5)
qbinom(0.025,200,0.5)
pbinom(85:86,200,0.5)
1 - pbinom(114:115,200,0.5)
# define a function to calculate power for given sample size.
power = function(size,null=0.50,alt=0.55){
leftCritical <- -1 + qbinom(0.025, round(size),null)
rightCritical <- 1 + qbinom(0.975, round(size),null)
leftPower <- pbinom( leftCritical, round(size),alt)
rightPower <- 1 - pbinom( rightCritical - 1, round(size),alt)
result <- leftPower + rightPower
# the rest of this allows for more verbose output
attr(result,"power") = leftPower + rightPower
attr(result,"null") = null
attr(result,"alt") = alt
attr(result,"leftCritical") = leftCritical
attr(result,"rightCritical") = rightCritical
attr(result,"leftPower") = leftPower
attr(result,"rightPower") = rightPower
return (result)
}
# just the power values:
as.numeric(power(200))
as.numeric(power(400))
# more verbose output:
power(200)
power(400)
# find sample size with 90% power
uniroot(function(size){ as.numeric(power(size)) -0.90} ,c(400,5000))
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