The associated summary statistic, the number of switches between the states in the experimental data, is .

Step 3: The summary statistic is being computed for each sequence of simulated data, (Table 1, column 4).

Indeed, if one lets the Bayes factor based on the summary statistic be denoted by , the relation between and takes the form:

Thus, a summary statistic is sufficient for comparing two models and if and only if:

Order of integration, denoted I(d), is a summary statistic for a time series.

These examples indicate that the correlation coefficient, as a summary statistic, cannot replace visual examination of the data.

Sometimes, the ROC is used to generate a summary statistic.

The outliers would greatly change the estimate of location if the arithmetic average were to be used as a summary statistic of location.

The standard error of the summary statistic is the square root of the reciprocal of the sum of the weights.

Reporting five numbers avoids the need to decide on the most appropriate summary statistic.