Contents

1

Introduction

2

Overview

3

Bayesian vs Frequentist methods

4

Fixed pool size and perfect tests

5

Fixed pool size and known Se & Sp

6

Fixed pool size and uncertain Se & Sp

7

Variable pool size and perfect tests

8

Pooled prevalence using a Gibbs sampler

9

True prevalence using one test 
10

Estimated true prevalence using two tests with a Gibbs sampler 
11

Estimation of parameters for prior Beta distributions

12

Sample size for fixed pool size and perfect test

13

Sample size for fixed pool size and known test sensitivity and specificity

14

Sample size for fixed pool size and uncertain test sensitivity and specificity

15

Simulate sampling for fixed pool size

16

Simulate sampling for variable pool sizes

17

Important Assumptions 
18

Pooled prevalence estimates are biased!
