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Design of Experiments Guide > Sample Size Explorers > Reliability Explorers > Nonparametric Reliability Demonstration
Publication date: 04/21/2023

Nonparametric Reliability Demonstration

Use the Nonparametric Reliability Demonstration Explorer to determine the number of units to put on test for a reliability demonstration when there is not an assumed failure rate distribution. Select DOE > Sample Size Explorers > Reliability > Nonparametric Reliability Demonstration. Explore the trade offs between reliability, significance, number of failures, and the number of units to test.

Demonstration Explorer for Nonparametric Reliability Settings

Set study assumptions and explore sample sizes using the radio buttons, text boxes, and menus. The profiler updates as you make changes to the settings. Alternatively, change settings by dragging the cross hairs on the profiler curves.

Preliminary Information

Alpha

Specifies the significance level, 1 - Alpha. The default alpha is 0.05.

Demonstration Explorer for Nonparametric Reliability Profiler

The profiler enables you to visualize the impact of sample size assumptions on a nonparametric reliability demonstration study.

Solve for

Enables you to solve for the sample size or maximum failures.

Demonstration Reliability

Specifies the probability that the item under test survives the demonstration.

Sample Size

Specifies the total number of units on test needed for your demonstration.

Max Failures

Specifies the maximum number of failures allowed for a successful test demonstration.

Demonstration Explorer for Nonparametric Reliability Options

The Explorer red triangle menu and report buttons provide additional options:

Simulate Data

Opens a data table of simulated data based on the explorer settings. View the simulated response column formula for the settings used.

Make Data Collection Table

Creates a new data table that you can use for data collection. The table includes scripts to facilitate data analysis.

Save Settings

Saves the current settings to the Saved Settings table. This enables you to save a set of alternative study plans. See Saved Settings in the Sample Size Explorers.

Help

Opens JMP help.

Statistical Details for the Nonparametric Reliability Demonstration Explorer

For a nonparametric reliability demonstration test, the demonstrated reliability is computed based on the Binomial distribution. The α quantile of the Binomial cdf can be computed by a transformation to an α quantile from the F-distribution, see Jowett (1963).

The reliability is calculated as follows:

Equation shown here

where

Equation shown here

and c is the maximum number of failures allowed during the demonstration.

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