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TWEET # Untitled a guest Apr 12th, 2019 106 Never
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1. ### Methods ###
2. flip <- function(p){
3.   sample(0:1, 1, prob = c(1 - p, p))
4. }
5.
6. flip_n <- function(prob, n){
7.   res= NULL
8.   for(i in 1:n){
9.     res = rbind(res, flip(prob))
10.   }
11.   return(res)
12. }
13.
14. flip_til_sig <- function(prob, a = 0.05, n_min = 10, n_max = 100){
15.   res = NULL
16.   p   = 1
17.   for(i in 1: n_min){
18.     res = rbind(res, flip(prob))
19.   }
20.   while(p > a & length(res) <= n_max){
21.     res = rbind(res, flip(prob))
22.     p   = binom.test(sum(res), length(res), p = 0.5)\$p.value
23.   }
24.   return(res)
25. }
26.
27. ### Simulation ###
28. nsim = 1e3
29. res1 = replicate(nsim, flip_n(prob = 0.5,  n = 100), simplify = F)
30. res2 = replicate(nsim, flip_til_sig (prob = 0.5, a = 0.05, n_min = 10, n_max = 100), simplify = F)
31.
32. par(mfrow = c(2, 1))
33. hist(sapply(res1, mean), breaks = 20, col = "Grey", xlab = "% Success", main = "Collect N datapoints")
34. hist(sapply(res2, mean), breaks = 20, col = "Grey", xlab = "% Success", main = "Collect until stopping rule")
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