Data considerations for 1-Sample Poisson Rate

To ensure that your results are valid, consider the following guidelines when you collect data, perform the analysis, and interpret your results.

The sample data should be selected randomly

In statistics, random samples are used to make generalizations, or inferences, about a population. If your data are not collected randomly, your results may not represent the population. For more information, go to Randomness in samples of data.

The data must be counts per unit, such as the number of calls per hour to a call center or the number of defects per unit in a shipment

If your data classify each observation into one of two categories, such as pass/fail, use 1 Proportion. For more information on data types, go to Data types you can analyze with a hypothesis test.

Each observation should be independent from all other observations

For observations to be independent, the probability of a particular outcome does not depend on any previous outcome. For example, if you select two parts and record whether they are defective or not, the outcome of the second part should not depend on the outcome of the first. If your observations are not independent, your results may not be valid.

Determine an appropriate sample size
Your sample should be large enough so that the following are true:
  • The estimates have enough precision.
  • The confidence intervals are narrow enough to be useful.
  • You have adequate protection against type I and type II errors.
To determine the appropriate sample size for your hypothesis test, go to Power and Sample Size for 1-Sample Poisson Rate.