From ab0cf1df7e889f431a16aa3b5293d6242bdea10c Mon Sep 17 00:00:00 2001
From: Patrick Simianer <p@simianer.de>
Date: Fri, 4 Aug 2017 12:54:03 +0200
Subject: algorithms/bootstrap

---
 algorithms/bootstrap.rb | 47 +++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 47 insertions(+)
 create mode 100755 algorithms/bootstrap.rb

diff --git a/algorithms/bootstrap.rb b/algorithms/bootstrap.rb
new file mode 100755
index 0000000..0f84d57
--- /dev/null
+++ b/algorithms/bootstrap.rb
@@ -0,0 +1,47 @@
+#!/usr/bin/env ruby
+
+aspirin_total = 11037
+aspirin_heart = 104
+aspirin_pop = ([0]*(aspirin_total-aspirin_heart) + [1.0]*aspirin_heart).shuffle
+
+placebo_total = 11034
+placebo_heart = 189
+placebo_pop = ([0]*(placebo_total-placebo_heart) + [1.0]*placebo_heart).shuffle
+
+def sample a, n
+  sample = []
+  n.times { 
+    sample << a[rand(n)]
+  }
+
+  return sample
+end
+
+ratios = []
+(0).upto(100000) {
+  
+  aspirin_sample = sample(aspirin_pop, aspirin_total)
+  placebo_sample = sample(placebo_pop, placebo_total)
+  
+  r = aspirin_sample.inject(:+) / placebo_sample.inject(:+)
+  ratios << r
+}
+
+ratios.sort!
+
+mean = ratios.inject(:+)/ratios.size
+var = 0
+ratios.each { |r|
+  var +=  (mean - r)**2
+}
+stddev = Math.sqrt(var/ratios.size)
+
+puts "mean = %f"%mean
+puts "stddev = %f"%stddev
+
+_25th = ratios[0,0.25*ratios.size]
+puts "25th = %f"%(_25th.inject(:+)/_25th.size)
+
+_975th = ratios[0.975*ratios.size, ratios.size]
+puts "975th = %f"%(_975th.inject(:+)/_975th.size)
+
-- 
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