Overview for Distribution Overview Plot

Use Distribution Overview Plot to examine reliability data in multiple plots on a single graph. Using the distribution overview plot, you can do the following:
  • Evaluate the fit of the selected distribution for each variable (or sample)
  • Estimate and view the reliability/survival and hazard functions for each variable (or sample) independently
  • Compare the results for all the variables (or samples) on each plot
Use this analysis for exact failure times or for any censoring scheme.
Exact failure data
Record the failure time at a fixed point in time before the end of the study or reliability test
Right-censored data
Record a time when the unit still survived at the end of the study or reliability test. For example, a patient may quit a study before it ends, or a unit is still operating after the allocated testing time. The exact failure time is unknown but will certainly occur beyond the allocated study time.
Interval-censored data
The exact failure time is unknown, but it occurred in a known interval. For example, a unit was still operating at 12 when the reliability engineer left for a mid-day break. Upon the engineer’s return at 12:30 they noticed that the unit has failed. Thus, the unit failed in the interval starting at 12 and ending at 12:30.
Left-censored data
Left-censored data is a special case of interval-censored data point where the beginning point of the interval may be time 0 or may be unknown. The engineer only knows that the unit failed by some specific time since the beginning of the reliability test.

In this analysis, interval censoring allows for the specification of left-censored data and data that combine different types of censoring. For more information, go to Data censoring.

When you create a distribution overview plot, you choose to display either a parametric overview plot (by selecting a distribution for your data), or a nonparametric overview plot. The parametric overview plot includes a probability plot for a selected distribution, a survival (or reliability) plot, a probability density function, and a hazard plot. For right-censored data or uncensored data, the nonparametric overview plot includes a Kaplan-Meier survival plot and a hazard plot or an actuarial survival plot and a hazard plot. For interval-censored data, the nonparametric overview plot includes a Turnbull survival plot or an actuarial survival plot and a hazard plot.

Tip

The analysis stores a reliability data definition that includes the sample columns and the censoring scheme. Select the definition to quickly run Distribution ID Plot, Distribution Overview Plot, Parametric Distribution Analysis, and Nonparametric Distribution Analysis on the same data.

Where to find this analysis

To create a distribution overview plot, choose Stat > Reliability/Survival > Distribution Analysis > Distribution Overview Plot.

When to use an alternate analysis