DMAIC Tools | DMAIC Template | Six Sigma Methodologies | 30+ Free Tools

DMAIC Tools

DMAIC Tools | DMAIC Template | Six Sigma Methodologies | 20+ Free Tools

Hello readers! Today we are going to discuss an important topic on various DMAIC tools, Six Sigma methodologies, and the DMAIC template and its usage. Six Sigma is a very popular methodology that has been using in manufacturing industries for continuous improvement. A set of methodologies and various tools are used to improve the processes by optimizing efficiency, eliminating waste, reducing defects, minimizing variation, reducing errors, and increasing quality, etc.  The main objectives of Six Sigma projects are to enhance the Sigma level and to reduce or minimize the DPMO (Defects per million opportunities).

 What are the Six Sigma Belt Levels?

As we know that there are various belts in Six Sigma certifications, for example, master black belts, black belts, green belts, yellow belts, white belts, etc. Let’s understand the details of all belts;

six sigma belts level
Six Sigma Belts Level

White Belt:

 This is the first level of six sigma certification. During white belt certification, you can learn the overview of the entire six sigma course. This six sigma course mainly emphasizes the basic concept of six sigma, fundamental methodology, terminology, etc. the course time periods may depend on the course providers once you are certified in the course you can easily understand the basic of Six Sigma and can work as problem-solving team that supports the overall projects teams. Many times people are confused about choosing the six sigma certification belt level. But I hope after reading all the Six Sigma belt levels, you can easily choose the course for yourself.

Yellow Belt:

Don’t confuse yourself when hearing about different types of belts. Different types of belts are classified according to the different levels of course like basic to advanced, roles of the certificate holder, level of project, knowledge level, etc. so according to your understanding of Six Sigma you can choose the certification course. The yellow belt is the second level of the certification course. The yellow belt certificate holder can participate as a project team member. And can review the process improvement that supports the project and review the six sigma process. However, the yellow belt is not adequate to empower certificate holders to lead a six sigma project. 

Green Belt:

Through the Green Belt, a GB-certified holder may have with proper knowledge and understanding of Six Sigma methodology, application of tools, etc. As a GB certified holder, you can lead the GB Six Sigma project or teams. In the GB project, you can take part as a team leader or member of the GB six sigma project with strategy implementation, methodology application, problem-solving, decision-making, etc. You can help with the black belt project for data collection and analysis.

Black Belt:

The black belt certified holder’s primary roles are process improvement, variation reduction, quality enhancement, DPMO reduction, and Sigma level enhancement by applying the six sigma methodology and concept. This is the advanced level, of course, compared to the green belt. BB certificate holder leads the project, trains and coaches the project teams as well.

Master Black Belt:

MBB is the high point of the six sigma course. A master black belt certificate holder trains and coaches the black belt and green belt holder. Your role is to make a six sigma strategy and implement an advanced level. Act as a six sigma technologist and give the strategic direction to the next level in your organization. You play a vital role as an expert in providing leadership, facilitation, methodology application, and strategic direction.  

Now, we will discuss on some common numerical terminology of Six Sigma which is frequently used in projects like DPU, DPO, DPMO, DPPM, Cp, Cpk, RPN, PN, Gauge R&R, Sigma level, P value, etc. sigma level you can choose from the sigma level table w.r.t DPMO value or you can calculate the value on excel as well.

DPMO, DPU, DPO, DPPM:

DPMO (Defects per million opportunities):

Before starting the DPMO calculation and concept, we will be understanding what is defects and defective items with the manufacturing practical example. Let’s consider a process control inspector doing the inspection in the production line and he booked some non-conforming items. He has recorded 5 non-conforming items and rejected those due to finding the following defects in items

ItemsDefects
Item-1Defect-1, defect-2, defect-3
Item-2defect-3
Item-3defect-2, defect-3
Item-4Defect-1, defect-2
Item-5Defect-4

Now, you can see in the above table we have recorded the 5 items and their defects. Every 5 items have a defect, so all 5 items are defective items or non-conforming items. If you look closely at the above table then you can find one thing that each item has one or more than one defect in a single unit. So, for example, item-1 is a defective product and having 3 defects. I hope the concept of defective vs defects is now understood. So, let’s arrange the above data table for easy understanding.

ItemsDefect-1Defect-2Defect-3Defect-4
Item-1xxx 
Item-2  x 
Item-3 xx 
Item-4xx  
Item-5   x
Total Defects =2331

The total defects of the 5 items are 9. (2+3+3+1). And the total number of defective items is 5.

Now we will calculate the value of DPU, DPO, DPMO, and DPPM.

In the above table, we found the following data as;

Total Defects = 9
Total Defective unit = 5
Defects opportunity per unit = 4
Total Units (for example) = 100 nos.
Total defects opportunities = 400 (4 x 100)

DPU (Defects per unit):

DPU Formula = Total number of Defects / Total units

DPU Calculation: DPU = 9/100 = 0.09

Defects Per Opportunity- DPO:

DPO Formula = Total number of defects/ (number of units x defects opportunity per unit)

= Total number of defects/ Total defects opportunities

= 9/ 400 = 0.0225 = 0.023

(Defects per million opportunities) DPMO:

DPMO Formula =

{Total number of defects/ (number of units x defects opportunity per unit)} x 1000000

= (Total number of defects/ Total defects opportunities) x 1000000

DPMO Calculation:

= (9/400) x 1000000

= 22500

(Defective Parts Per Million) DPPM:

DPPM Formula = (Total Defective parts / Total parts) x 1000000

DPPM calculation: (5 / 100) x 1000000

 = 50000

According to the above data set the DPU, DPO, DPMO, and DPPM calculated values are given below table.

Date Set:
Total Defects = 9
Total Defective unit = 5
Defects opportunity per unit = 4
Total Units (for example) = 100 nos.
Total defects opportunities = 400 (4 x 100)
Values:
DPU (Defects per unit): 0.09
DPO (Defects Per Opportunity): 0.023
DPMO (Defects per million opportunities):22500
DPPM (Defective Parts Per Million) : 50000

Excel calculator:

If you are interested to download the Excel DPMO calculator and DPPM calculator then download them from the below link.

Download Excel DPMO & DPPM Calculator

DMAIC Tools

How to use Excel DPMO & DPPM Calculator?

It’s very simple to use our excel template just download the excel calculator and then follow the below steps.

Step-1: Download the excel DPMO and DPPM calculator from the above given link.

Step-2: Enter the value only on the yellow highlighted box.

Step-3: The DPU, DPO, DPMO, and DPPM values will be calculated automatically.

Manufacturing Example:

Let’s consider a company manufacturing automobile parts. And they are producing x nos of parts on a monthly basis but facing a huge rejection in the production line at the blanking and piercing operation process. so, it has been decided in the quality meetings for improvement projects to reduce the rejection% and improve the variation. So, for the improvement project, the Line QA engineer collected the following data for the calculation of DPU, DPO, DPMO, and DPPM for project input. Data are given in below table;

Total Defects = 2763
Total Defective unit = 921
Defects opportunity per unit = 6
Total parts produced = 6100407
Total defects opportunities = 3,66,02,442 (6100407 x 6)

Without wasting my time, I’m going to calculate the value by using the above excel template. And the calculated value is given below.

DMAIC Tools, DPMO calculator

I would request to all my readers, who are currently reading this article try to calculate the DPMO and DPPM values manually by apply the above formula and match with the excel calculator value.

Regarding the process capability calculation we have already uploaded the article you can read our article on How to measure process capability (Cp & Cpk)? Download Excel Template.

Process Capability Analysis |Cp & Cpk Calculation Excel Sheet with Example

Defectives vs Defects:

Defect vs Defective

 Let us understand the difference between Defect and Defective with the help of the above example. As you can see in the above image one product having two nonconforming quality characteristics which do not meet the standard or customer requirement, which is called a defect, and the whole product is called a defective product because having two defects. If you would like to know the total defective product and total defects in the above example, then we can easily say that the total defective product is 1 and the total defects are 2. Now I hope you understand the difference between defective and defects.

Six Sigma Methodologies:

There are many methodologies used in six sigma projects but the popular methodology is DMAIC (Define, Measure, Analyze, Improve and Control). Similarly, in the design of the Six Sigma project, the popular methodology is used as DMADV (Define, Measure, Analyze, Design, and Validate). However in Lean Six Sigma, both lean tools and DMAIC methodology are used.

DMAIC vs DMADV

DMAIC Tools & DMAIC Template

DMAIC methodology

DMAIC methodology is a very popular mythology that is used in six sigma projects. The DMAIC methodology consists of 5 phases i.e. Define Phase, Measure Phase, analyze Phase, Improve Phase, and Control Phase. We have already published common and popular DMAIC tools, DMAIC templates, and formats. But following DMAIC tools are listed below;

DMAIC Tools, Template, and Format:

  1. Project Charter.
  2. SIPOC
  3. VOC / CTQ / VOS
  4. Data Collection Template.
  5. FMEA
  6. MSA (Gauge R&R, Attribute type MSA).
  7. Cp and Cpk.
  8. Control Chart (e.g. X bar & R chart, P-chart, C- chart, etc.)
  9. Control Plan or QAP
  10. Hypothesis testing tools.
  11. Why-Why Analysis.
  12. 5W1H.
  13. 5W2H
  14. Lean tools
  15. DPMO calculation template.
  16. Sigma-level calculation template
  17. Pareto Chart
  18. Histogram.
  19. Scatter
  20. Cause & Effect Diagram
  21. Paired comparison
  22. Logistic regression
  23. Poisson regression
  24. 2-P test
  25. Chi-square test
  26. Simple regression.
  27. Correlation
  28. T-test
  29. Z-test
  30. F-test
  31. Annova Test., etc.
DMAIC Tools
DMAIC Tools

If you would like to download the free templates and formats then click on DOWNLOAD Free Templates.

QA/QC/TQM/Lean/Six Sigma Templates or Format:

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DPMO Calculation, Formula, Template & Manufacturing Example

DPMO Calculation

DPMO Calculation, Formula, Manufacturing Example & DPMO Excel Template

Hello readers! Today we will be discussing on DPMO calculation with manufacturing examples. The full form of DPMO is defects per million opportunities. Similarly, dpmo there are 3 more popular terms used in quality for the calculation of defect level and these are [1] DPPM, [2] DPO, [3] DPU. These terms are also frequently used in six sigma project work. If you would like to download the sample template of all 4 calculations in a single sheet then download it from below given link.

DPMO Calculation Excel TemplateDOWNLOAD

Formula of DPMO, DPPM, DPO, DPU:

DPU (Defects per unit):

DPU Formula = Total number of Defects / Total units

DPO (Defects Per Opportunity):

DPO Formula = Total number of defects/ (number of units x defects opportunity per unit)

DPMO (Defects per million opportunities):

DPMO Formula = {Total number of defects/ (number of units x defects opportunity per unit)} x 1000000

DPPM (Defective Parts Per Million):

DPPM Formula = (Total Defective parts / Total parts) x 1000000

First of all, below example-1 is one of the scenarios that are given for calculating the DPMO, DPPM, DPO, and DPU for all my article readers. So, this is the task for you my readers for your better understanding. Similarly, we are also going to solve one of the scenario-based questions for calculating the DPMO, DPPM, DPU, and DPO.

 Example-1 (Task for the reader):

Suppose a sheet metal automobile manufacturing company, produces an automobile part. In the press shop, we found that 4 parts had been rejected at press machine-1 & 9 parts at press machine-2. When a QA engineer had analyzed, he found that the total defective product has 16 defects. And defects opportunity per parts is 5 and total 1100 parts had been produced. Calculate the DPMO, DPPM, DPU and DPO?    

Have you completed the calculation of above example-1 or not? If not yet then, we are going to help to calculate the same. First of all, note down the data, i.e. Total defects, Total defective parts, defects opportunity per part, total parts produced and total defects opportunity. I know that it will take more time for manual calculation of all calculations, that is why we are recommending you to download our excel automatic calculation template for easy and time-saving calculation. Downloading link is given at top of the articles just try to download the format or template. I would request you all my readers, you just calculate the DPMO and DPPM manually and try to match your value with Excel calculation, which is given below;

DPMO Calculation

I hope you have completed the matching of the value calculated by the automatic excel template and your manual calculation. Now we will be discussing the different types of examples and will calculate the value by both manually and by using an automatic excel format. So, let’s get started.

Example-2:

Lets a company manufacturing a toy product and below are the data given in several processes. so, calculate the DPMO, DPPM, DPO and DPU of individual processes and overall process by manually and by using the excel template. And also try to compare both solutions.

Process-1 Data Table:

Total Defects30 nos
Total Defective parts20 nos
Defects opportunity per part3
Total parts produced840 nos

Process-2 Data Table:

Total Defects102 nos
Total Defective parts80 nos
Defects opportunity per part4
Total parts produced987 nos

Process-3 Data Table:

Total Defects17 nos
Total Defective parts16 nos
Defects opportunity per part3
Total parts produced1003 nos

Calculate the DPMO, DPPM, DPO and DPU of individual processes and overall processes by manually and by using the excel template?

Solution of Process-1:

DPU Formula = Total number of Defects / Total units

= 30/840

=0.0357

DPO (Defects Per Opportunity):

DPO Formula = Total number of defects/ (number of units x defects opportunity per unit)

= 30/(840×3)

= 0.0119

DPMO (Defects per million opportunities):

DPMO Formula = {Total number of defects/ (number of units x defects opportunity per unit)} x 1000000

= [30/(840×3)]x1000000

=11904.7

DPPM (Defective Parts Per Million):

DPPM Formula = (Total Defective parts / Total parts) x 1000000

= (20/840) x1000000

=23809.5

Similarly, Excel template calculation is given below as;

excel formula

Solution of Process-2:

DPU (Defects per unit):

DPU Formula = Total number of Defects / Total units

= 102/987

= 0.1033

DPO (Defects Per Opportunity):

DPO Formula = Total number of defects/ (number of units x defects opportunity per unit)

= 102/(987×4)

= 0.0258

DPMO (Defects per million opportunities):

DPMO Formula = {Total number of defects/ (number of units x defects opportunity per unit)} x 1000000

= [102/(987×4)]x1000000

= 25835.86

DPPM (Defective Parts Per Million):

DPPM Formula = (Total Defective parts / Total parts) x 1000000

= (80/987) x1000000

= 81053.69

You can compare the answer with the below given Excel calculated value.

DPMO Calculation

Solution of Process-3:

DPU (Defects per unit):

DPU Formula = Total number of Defects / Total units

= 17/1003

= 0.0169

DPO (Defects Per Opportunity):

DPO Formula = Total number of defects/ (number of units x defects opportunity per unit)

= 17/1003×3

=0.0056

DPMO (Defects per million opportunities):

DPMO Formula = {Total number of defects/ (number of units x defects opportunity per unit)} x 1000000

= [17/1003×3]x1000000

= 5649.7

DPPM (Defective Parts Per Million):

DPPM Formula = (Total Defective parts / Total parts) x 1000000

= [16/1003]x1000000

= 15952.14

Below are the excel calculation of the above value, you can match the value;

DPMO Calculation

Overall Process DPMO Calculation:

For doing so we need a combined data table, so we have clubbed all the data of process-1,2 & 3 and given in below; the same part is produced in all 3 processes.

Total Defects149 nos
Total Defective parts116 nos
Defects opportunity per part8
Total parts produced2830 nos

DPU (Defects per unit):

DPU Formula = Total number of Defects / Total units

= 149/2830

= 0.0526

DPO (Defects Per Opportunity):

DPO Formula = Total number of defects/ (number of units x defects opportunity per unit)

= 149/2830×8

=0.00658

DPMO (Defects per million opportunities):

DPMO Formula = {Total number of defects/ (number of units x defects opportunity per unit)} x 1000000

= [149/8×2830]x1000000

= 6581.27

DPPM (Defective Parts Per Million):

DPPM Formula = (Total Defective parts / Total parts) x 1000000

= (116/2830) x1000000

= 40989.39

Overall

[Excel Calculation of DPMO]

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