<?xml version="1.0" encoding="utf-8"?><!DOCTYPE article  PUBLIC '-//OASIS//DTD DocBook XML V4.4//EN'  'http://www.docbook.org/xml/4.4/docbookx.dtd'><article><articleinfo><title>FAQ/combinatorics/inst2rep1</title><revhistory><revision><revnumber>1</revnumber><date>2015-07-02 08:59:33</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><para>Describe FAQ/combinatorics/inst2rep1 here. </para><section><title>Derivation of 1 instance of 2 replicates of one of 92 stimuli in a sequence of length 6</title><para>An example of 1 instance of 2 replicates is AAABCD ie three repetitions of the same stimulus in the sequence of length 6. There are (6 choose 3) = 20 ways of ordering the repeated stimulus. These are </para><screen><![CDATA[123
124
125
126
134
135
136
145
146
156
234
235
236
245
246
256
345
346
356
456]]></screen><para>There are 92 stimuli that can be repeated and there would be three distinct simuli not equal to the repeated stimulus in the remaining three positions giving 92 x 20 x 91 x 90 x 89 possible combinations of a single incidence of 2 repeats of a stimulus giving a probability when divided by 92^6 of 0.002. </para></section></article>