THE SIX SIGMA CALCULATORS

NOTE: This page only works on browsers that support Javascript!

The Calculators:

DPM (Defects Per Million) Calculator
Process Design Calculator
QC Design Calculator
Limitations

Resources :

How do your processes compare?
Look up Quality Requirements
Six Sigma Essays, Lessons, and Applications


DPM (Defects Per Million) Calculator

Here you can calculate the Sigma-metric by counting the number of Defects in a sample.
Note that this calculator "rounds up" - to the nearest Sigma-Metric on the table on this website.
Enter the number of Defects Observed:
Enter the size of the sample:
(how many total results were examined)


Here are your Defects Per Million:
Here is your Sigma-Metric:

Note also that if you know your Defect/Error rate as a percentage, you can enter it here with the sample size of 100 (i.e. a defect rate of 2% would be entered "2" in the defects observed, and "100" in the size of the sample).

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Process Design Calculator

Here you can calculate your Sigma-metric by analysis of variance measurements.
Enter the Quality Requirement
or Tolerance Limit
(in %):
(If you don't know, look it up below)
Observed Bias (as a %):
(If you don't know, start with 0)
Observed CV (as a %):
(If you don't know, find out)

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QC Design Calculator (Critical Systematic Error)

Here you can calculate the size of the error your QC must detect.
Enter the Quality Requirement
or Tolerance Limit
(in %):
(If you don't know, look it up below)
Observed Bias (as a %):
(If you don't know, start with 0)
Observed CV (as a %):
(If you don't know, find out)

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Limitations

These Javascript calculators are for demonstration purposes only. In particular, if you enter nonsensical numbers, they will return nonsense. Entering 0 for Defects Observed, Sample Size, Quality Required, Observed CV will give you useless answers. More robust Six Sigma calculators are available upon request.

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Benchmarking: How do your processes compare?

The following Sigma metrics are drawn from Nevalainen D, Berte L, Kraft C, Leigh E, Morgan T. Evaluating laboratory performance on quality indicators with the six sigma scale. Arch Pathol Lab Med 2000;124:516-519.

Q-Probe QUALITY INDICATOR % ERROR DPM SIGMA*
Order accuracy 1.8 % 18,000 3.60
Duplicate test orders 1.52 15,200 3.65
Wristband errors (not banded) 0.65 6,500 4.00
TDM timing errors 24.4 244,000 2.20
Hematology specimen acceptability 0.38 3,800 4.15
Chemistry specimen acceptability 0.30 3,000 4.25
Surgical pathology specimen accessioning 3.4 34,000 3.30
Cytology specimen adequacy 7.32 73,700 2.95
Laboratory proficiency testing 0.9 9,000 3.85
Surg path froz sect diagnostic discordance 1.7 17,000 3.60
PAP smear rescreening false negatives 2.4 24,000 3.45
Reporting errors 0.0477 477 4.80

*Conversion using table with allowance for 1.5s shift

As shown by the variety of preanalytic, analytic, and postanalytic processes in this table, the approach of using outcome measures can be applied to virtually any process. The observed error rates for several of these processes are in the 3.0% to 0.3% range, which translates to typical sigma levels of 3 to 4. Even analytical performance, as estimated from proficiency testing data, is only at the 3.85 sigma level. The best process is "reporting errors" which has a sigma metric of 4.80. No process achieves the six sigma goal.

Some rules of thumb:

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Quality Requirements For Look-Up

Here is a short list of available quality requirements. If you can't find a requirement for you test/analyte, see below for more Six Sigma resources:

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Related Six Sigma Essays, Lessons, and Applications

Six Sigma Quality Design and Control manual

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Westgard QC, 7614 Gray Fox Trail, Madison WI 53717
Call 608-833-4718 or e-mail westgard@westgard.com

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