1-Stage Freedom analysis
# Population or cluster level sensitivity using pooled sampling

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This utility calculates a population or cluster level sensitivity for a survey where pooled sampling has been used. This is the probability (or level of confidence) that one or more pools will give a positive result assuming the disease was present at a prevalence greater than or equal to the specified design prevalence. It is assumed that individual units are sampled and that samples are combined at random into a specified number of pools of equal size. Test sensitivity and specificity are measured at the pool level, allowing for any dilution effect.

For more details see: Christensen & Gardner (2000). Herd-level interpretation of test results for epidemiologic studies of animal diseases. Prev Vet Med. **45**:83-106.

- Design prevalence as a proportion;
- Pool sensitivity;
- Pool specificity;
- Pool size - the number of units represented in each pooled sample; and
- The number of pools tested.

- Population-level sensitivity for the given pool size, number of pools, design prevalence and pool sensitivity and specificity.