- Six Sigma Tutorial
- Six Sigma DMAIC process
- Six Sigma Acceptance Sampling
- Sampling Plan Variation vs Lot Size Variation in Acceptance Sampling
- AQL Based Sampling Plans
- Decision Tree for Selecting Type of Variables in Sampling Plan
- FMEA – Failure Mode and Effects Analysis
- Types Of FMEA: Design FMEA (DFMEA), Process FMEA (PFMEA)
- The FMEA Quality Lever – Where To Put The Effort
- FMEA Quiz
- Six Sigma Confidence Intervals
- Confidence Limits
- Confidence Interval Formulas
- Z Confidence Interval for Means – Example
- t Confidence Interval for a Variance – Example
- Six Sigma Defect Metrics – DPO, DPMO, PPM, DPU Conversion table
- Fishbone Diagram – Fishbone Analysis
- Cost of Quality Defects and Hidden Factory in Six Sigma
- Pareto Analysis using Pareto Chart
- Six Sigma Calculators – DPMO, DPM, Sample Size
- How to select a Six Sigma project? Download selection grid template.
- How to create Six Sigma Histogram? Download Excel template
- Scatter Plots – Free Six Sigma Scatter Plot template
- How to create, use Six Sigma SIPOC tool? Download SIPOC Template
- Quality Function Deployment (QFD) – Download free templates
- What is Decision Matrix or Decision Making Matrix ?
- The nature of Process Variation
- What is RACI or RASCI Matrix/Chart/Diagram? Download free templates
Six Sigma Calculators – DPMO, DPM, Sample Size
DPMO – Defects Per Million opportunities
We have calculators developed in JavaScript as well as in Excel. You can play with them below or download for offline practice. DPMO is a measure of process performance. A defect happens when a product’s quality characteristic such as color, weight, size is not in conformance to the product’s specification. Observed during an average production run, defects per million opportunities is defined as the average number of defects per unit divided by the number of opportunities to make a defect on the product during that run normalized to one million. Defects per million opportunities (DPMO) is also known as nonconformities per million opportunities (NPMO). We calculate DPMO using the below formula:
DPMO Calculator
Number Of Opportunities:
Number Of Defect Opportunities per Unit:
Click to Calculate DPMO:
Six Sigma:
DPM – Defects Per Million
We calculate DPM using the below formula:
DMP Calculator
Sample Size:
Click to Calculate DPM:
Six Sigma:
Sample Size
Sample Size is calculated using the below formula:
Where CI is the confidence Interval in decimal format. If the Confidence Interval is ±4% then use 0.04.
p is Percentage of the sample picking a choice, expressed in decimal.
Sample Size Calculation: For a Confidence Level of 95%, which is the most commonly used Confidence Level by researchers, we use a p = 0.50 and Z value = 1.96. A confidence level of 95% means that you are 95% certain about the outcome.
Sample Size Correction For finite Population
The above formula works for bigger populations. For smaller or finite populations, you need to correct the value obtained from the above using the below formula.
Sample Size Calculator
Population:
Click to Calculate Sample Size:
Defect Metrics Calculators in Microsoft Excel Spreadsheet
Download free Six-Sigma Calculators for DPO, DPMO, Sample-Size in Excel
Further reading: SixSigma Daily DPMO, iSixSigma discussion on how to calculate DPMO and Sigma