annotate distr_3.py @ 29:7d6bc790b213

simulation of multi-segment coin flip with bias
author Henry S. Thompson <ht@inf.ed.ac.uk>
date Wed, 28 Jul 2021 17:55:36 +0100
parents
children 9f40651f6080
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
29
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
1 #!/usr/bin/python3
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
2 '''Simulate stats for showing segments are the same as the whole'''
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
3 # Simulate normal distributions of coin flips with slightly
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
4 # unfair coins
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
5 # Usage: distr_3.py segsize flipcount nsegs max-bias
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
6 # Requires python3.6 as of 2021-07-28
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
7 # Runs nsegs*segsize experiments, each involving flipcount flips.
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
8 # Experiments in a given segment have a bias around 0.5,
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
9 # randomly chosen between 0 and max-bias (which must be < 0.5
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
10
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
11 import sys, random, signif
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
12 from nltk import FreqDist
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
13
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
14 n=int(sys.argv[1])
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
15 m=int(sys.argv[2])
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
16 ss=int(sys.argv[3])
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
17 b=float(sys.argv[4])
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
18
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
19 whole=FreqDist()
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
20
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
21 def fd(n,m,bias):
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
22 global whole
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
23 f=FreqDist()
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
24 split=random.uniform(0.5-bias,0.5+bias)
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
25 for i in range(n):
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
26 res=sum(int(random.uniform(0,1)>split) for j in range(m))
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
27 f[res]+=1
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
28 whole[res]+=1
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
29 return f
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
30
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
31 segs=[fd(n,m,b) for s in range(ss)]
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
32
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
33 whole.bell()
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
34
7d6bc790b213 simulation of multi-segment coin flip with bias
Henry S. Thompson <ht@inf.ed.ac.uk>
parents:
diff changeset
35