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Electro-Optical Systems Engineering

Survey Size Calculator

For a simple majority yes/no survey of a very large population, this tool finds the survey size, risk of failure, and minimum voter sentiment required to pass.

Risk of Failure

Given the survey size and estimated chance of a yes vote, compute the risk:

Survey Size Voter Sentiment (%)

Minimum Voter Sentiment

Given the survey size and acceptable risk of failure, compute the minimum chance of a yes vote:

Survey Size Risk of Failure (%)

Minimum Survey Size

Given the estimated chance of a yes vote and acceptable risk of failure, compute the minimum survey size:

Estimated Voter Sentiment (%) Risk of Failure (%)

See Random-Sample Voting for the motivation behind the calculator. See Surveying for a Voter Proposition to read about the underlying mathematics. See Computing Survey Size to read about the computational method. The calculation of the survey size is still a work in progress. No input for a Bayesian prior is included in the calculation, since taking the prior into account is trivial.