Tutorial for Tolerance Intervals

Contents

Introduction

Tolerance intervals are used to quantify the range within which a certain percentage of a population is expected to fall. They are used to ensure that a product or process meets certain standards

The Tolerance Intervals app in Origin supports calculating tolerance intervals for data from normal or non-normal distribution.

How to install and use the app

TI Dialog.png

Tolerance Intervals (Normal)

Specify Input Data

  • Select one or multiple columns, each column contains one sample data
  • Specified the summary values for sample size, mean and standard deviation of the sample

Specify Options

Specify the minimum percentage of the population that you want the tolerance interval to include. The default value is 95%
Specify the confidence level for confidence intervals. The default value is 95%
Decide the type of Tolerance Interval, it can be Two-sided, Lower Bound or Upper Bound
Specified whether the output the graphical report which includes
  • Parametric and non-parametric tolerance interval plots
  • Histogram with distribution curve
  • Probability Plot

Tolerance Intervals(Non-normal)

Specify Input Data

Select one or multiple columns, each column contains one sample data
Select the distribution of your sample data
  • Lognormal
  • Gamma
  • Exponential
  • Smallest Extreme Value
  • Weibull
  • Largest Extreme Value
  • Logistic
  • Loglogistic
  • Nonparametric

Specify Options

Specify the minimum percentage of the population that you want the tolerance interval to include. The default value is 95%
Specify the confidence level for confidence intervals. The default value is 95%
Decide the type of Tolerance Interval, it can be Two-sided, Lower Bound or Upper Bound
Specified whether the output the graphical report which includes
  • Parametric and non-parametric tolerance interval plots
  • Histogram with distribution curve
  • Probability Plot

Tutorial

  1. Copy data: 99.83 100.86 100.71 97.14 98.49 102.47 104.05 100.53 97.65 99.92 98.28 99.05 101.13 100.39 99.58 100.57 103.08 100.32 100.00 97.64
  2. Go to Origin, create a new Workbook, right-click in the first cell of Column A. Select Paste Transpose in the context menu
  3. Highlight column A and click Tolerance Intervals icon TI Icon.png in the Apps Gallery.
    TI Dialog.png
  4. Select Tolerance Intervals (Normal) to open the dialog.
  5. In the opened dialog, Column A is automatically set as Input Data. Set Minimum % of Population in Interval to be 75, Confidence Level (%) to be 99. Keep all other settings as default and click the OK button.
    TT Dialog.png
  6. The report table and report data sheets will be generated
    TT Results.png