Six Sigma Tools and Calculators – Calculations of DPMO, DPM, Sample Size and Confidence Interval

These Six Sigma online calculators help you calculate your process metrics such as DPMO, DPM, Sample Size, Six Sigma.

We have the following calculators:

  1. DPMO
  2. DPM
  3. Sample Size

 

Click on the buttons to show the Six Sigma Calculator

 

DPMO Calculator:
Number Of Defects:
Number Of opportunities:
Number Of Defect opportunities per Unit:
Click to Calculate DPMO:
Six Sigma:

DPM Calculator:
Number Of Defects:
Sample Size:
Click to Calculate DPM:
Six Sigma:

Sample Size Calculator:
Confidence Level: 95%
Confidence Interval:
Population:

Click to Calculate Sample Size:

DPMO – Defects Per Million opportunities Calculator

Defects per million opportunities (DPMO) is also known as nonconformities per million opportunities (NPMO).

DPMO is calculated using the below formula:

DPMO-Formula

DPM – Defects Per Million Calculator

DPM is calculated using the below formula:

DPM-Formula

Sample Size Calculator

Sample Size is calculated using the below formula:

Six Sigma Sample Size 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. For Sample Size Calculation, we use a p of 0.50
Z value is 1.96 for a Confidence Level of 95%, which is the most commonly used Confidence Level by researchers.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 Correction For finite Population Formula

Related Tutorial:  Understanding defect based six sigma metrics: DPO, DPMO, PPM, DPU, Yield

MS Excel Free Download: Defect Metrics Calculators in Microsoft Excel Spreadsheet

Download Six-Sigma Calculators for DPO, DPMO, Sample-Size in Excel

Categories: Calculators Tags: , , , , ,

5 Comments

  1. Rishi Raj Gautam
    Posted November 27, 2011 at 4:27 AM | Permalink

    very easy to calculate, please

  2. Rishi Raj Gautam
    Posted November 27, 2011 at 4:28 AM | Permalink

    send me please

  3. Rishi Raj Gautam
    Posted November 29, 2011 at 8:43 AM | Permalink

    very good! I like it

  4. Sivakumar S
    Posted April 1, 2012 at 11:23 PM | Permalink

    Please correct the spelling for “opportunities”. It appears in the page DPMO as “oppurtunities”.

  5. zahid baig
    Posted February 13, 2013 at 10:07 PM | Permalink

    i cannot understand this DPMO please tell me how to calculate DPMO at chemical plant

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