What question did this study set out to answer?

The aim is to develop a simple method for calculating the confidence interval of a standardized mortality ratio (SMR).

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February 1, 1990

Simple Method to Calculate the Confidence Interval of a Standardized Mortality Ratio (Smr)

Key Points

The aim is to develop a simple method for calculating the confidence interval of a standardized mortality ratio (SMR).
Described a method linking chi squared distribution and Poisson distribution for calculating SMR limits.
Used both an iterative procedure and shortcut methods for practical calculation.
The proposed method simplifies access to accurate confidence limits for SMRs.
The chi squared distribution table is the only required resource for the calculations.

Abstract

In analyzing standardized mortality ratios (SMRs), it is of interest to calculate a confidence interval for the true SMR. The exact limits of a specific interval can be obtained by means of the Poisson distribution either within an iterative procedure or by one of the tables. The limits can be approximated in using one of various shortcut methods. In this paper, a method is described for calculating the exact limits in a simple and easy way. The method is based on the link between the chi 2 distribution and the Poisson distribution. Only a table of the chi 2 distribution is necessary.

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