Design of Experiments Guide > Prospective Sample Size and Power
Publication date: 08/13/2020

Prospective Sample Size and Power

Use the Sample Size and Power platform to investigate the impact of sample size on your ability to answer specific questions when planning experiments or studies.

How many units should I test?

Will I be able to detect a difference in my treatment means?

How many units must I test to estimate failure time?

The Sample Size and Power platform is a collection of calculators. The calculators have fields for data entry and calculated values. You can select values to specify and those to calculate. For example, you might specify power and the effect size that you want to detect and then calculate the necessary sample size. Alternatively, you might specify a sample size and power to calculate the effect size that you can detect.

Sample size calculations for hypothesis tests are based on the trade off between Type I and Type II errors. The Type I error, or α, is the probability of rejecting the null hypothesis when it is true. The Type II error, or β, is the probability of not rejecting the null hypothesis when it is false. Generally you would like α and β to be small. Power, or 1 - β, is the probability of rejecting the null hypothesis when it is false.

For more information about power and sample size in JMP, see Barker (2011).

Figure 17.1 Power Animation for One Sample Mean 

Contents

Launch the Sample Size and Power Platform

One Sample Mean Calculator

Examples of the One Sample Mean Calculator
One Sample Mean Calculator Fields
Statistical Details for the One Sample Mean Calculator

Two Sample Means Calculator

Example of the Two Sample Means Calculator
Two Sample Means Calculator Fields
Statistical Details for the Two Sample Means Calculator

k Sample Means Calculator

Example of the k Sample Means Calculator
k Sample Means Calculator Fields
Statistical Details for the k Sample Means Calculator

One Sample Standard Deviation Calculator

Example of the One Sample Standard Deviation Calculator
One Sample Standard Deviation Calculator Fields
Statistical Details for the One Sample Standard Deviation Calculator

One Sample Proportion Calculator

Example of the One Sample Proportion Calculator
One Sample Proportion Calculator Fields
Statistical Details for the One Proportion Calculator

Two Sample Proportions Calculator

Example of the Two Sample Proportions Calculator
Two Sample Proportions Calculator Fields
Statistical Details for the Two Proportions Calculator

Counts per Unit Calculator

Example of the Counts per Unit Calculator
Counts per Unit Calculator Fields
Statistical Details for the Counts per Unit Calculator

Sigma Quality Level Calculator

Example of the Sigma Quality Level Calculator
Example Computing the Number of Defects
Sigma Quality Level Calculator Fields
Statistical Details for the Sigma Quality Calculator

Reliability Test Plan Calculator

Example of the Reliability Test Plan Calculator
Reliability Test Plan Calculator Fields
Statistical Details for the Reliability Test Plan Calculator

Reliability Demonstration Calculator

Example of the Reliability Demonstration Calculator
Reliability Demonstration Calculator Fields
Statistical Details for the Reliability Demonstration Calculator
Want more information? Have questions? Get answers in the JMP User Community (community.jmp.com).
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