Lean Six Sigma | Lean Six Sigma, Six Sigma Certification - Part 6

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If you are new to Lean Six Sigma then Y=f(X) is one amongst many jargons that you will have to familiarize yourself.
The objective of Lean Six Sigma philosophy and DMAIC improvement methodology is to identify the root causes to any problem and control/manage them so that the problem can be alleviated.
Six Sigma is process oriented approach which considers every task as a process. Even the simplest of the tasks, such as performing your morning workout or getting ready to office is considered as a process. The implication of such a view point is to identify what is the output of that process, its desired level of performance and what inputs are needed to produce the desired results.
Y is usually used to denote the Output and X for the inputs.
Y is also known as dependent variable as it is dependent on the Xs. Usually Y represents the symptoms or the effect of any problem.
On the other hand, X is known as independent variable as it is not dependent on Y or any other X. Usually Xs represents the problem itself or the cause.
As you will agree that any process will have at least one output but most likely to have several inputs. As managers, we all are expected to deliver results and achieve a new level of performance of the process such as Service Levels, Production Levels, Quality Levels, etc., or sustain the current level of performance.
In order to achieve this objective, we focus our efforts on the output performance measure.  However a smart process manager will focus on identifying Xs that impact the output performance measure in order to achieve the desired level of performance.
How does one identify the input performance measures or Xs?
Six Sigma DMAIC methodology aims to identify the inputs(Xs) that have significant impact on output (Y). After that the strength and nature of the relationship between Y and Xs are also established.
Six Sigma uses a variety of qualitative and quantitative tools & techniques listed below to identify the statistical validation of the inputs (or root causes), their strength and nature of relationship with Y:

What does f in Y= f(X) mean?
‘f’ represents the nature and strength of the relationship that exists between Y and X. On one hand, this equation can be used for a generic interpretation that symbolizes the fact that Y is impacted by X and nature of relationship can be quantified. On the other hand, such a mathematical expression can be created provided we have sufficient data using the above mentioned analytical tools such as regression and other hypothesis tests.
The mathematical expression that we obtain is nothing but an equation such as:
TAT = 13.3 – 7.4*Waiting Time + 1.8*No. of Counters – 24*Time to Approve
Once such an equation is established, it can be easily used to proactively identify the Y for various values of X. Thus Y= f(X) is the basis for predictive modeling. All the newer analytical concepts such as Big Data, etc are based on this foundation principles.


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“merci pour tout”; thank a lot.


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Thanks a lot for your Guidance and Support


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I want to share that it was fun learning with Canopus as the course material was structured very well and the topics were explained in great detail. Looking forward to enrolling more courses with Canopus.


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It was a wonderful experience overall in terms of course content, online platform(moodle), examination and artifacts. I am very thankful for your support and guidance.


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In a recent Lean Six Sigma Project kick-off meeting of one of my clients, after the teams presented their project charters, the business leader made an extempore announcement that the best and most successful Lean Six Sigma project will receive a special recognition and the team members will be lucratively rewarded.

Immediately few of them wanted to know what criteria will be used for selection. The business leader indicated that I will be the one who will define the criteria for successful Lean Six Sigma Project.

Factors that I consider among the criteria for success of Lean Six Sigma Projects are arranged in the descending order of their importance in the below list:

  • Project Scope – Lean Six Sigma projects without well defined scope are bound to fail, but they end up creating a lot of mess around.  Scope usually refers to the boundaries of any project. A poorly defined project is one which hasn’t balanced the Project Goal, Scope and Timelines. Also, poorly communicated scope and not defining what is out of scope are equally important and to be addressed.
  • Retains interest and commitment of the resources – Improvement projects are successful when its team members contribute their best. Lean Six Sigma projects usually challenge the existing paradigm. Hence without whole hearted and continued participation of the team members, no project will be successful. The sponsor/champion and the Green Belt/Black Belt are entrusted to retain the interest and commitment of the resources.
  • Attracts adequate buy-in from key stakeholders – Stakeholders of any project could either be the decision makers, important players who influence the decisions or even impacted parties. Successful Lean Six Sigma projects will have to manage the expectations of all the above stakeholders from time to time and create adequate buy-in. Rather than focusing too much on technical root cause analysis, the emphasis should be on how Lean Six Sigma project can bring about mid-to-large scale change in the organization.
  • Flawless execution– Immaterial of the breadth and depth of the analysis done in any Lean Six Sigma project, what sticks out is execution. Well led and implemented project is bound to be successful, as even the quality of data collected and analysis is a function of the flawless execution. Adherence to weekly team meetings, project milestones and tollgates reviews are some simple and easy signs to evaluate execution. Further unbiased data collection and analysis, open minded assessment of solutions, in depth piloting and sustained monitoring are additional measures of flawless execution.
  • Identifiable impact on customers – As the proof of the pudding is in the eating, so is the success of any Lean Six Sigma in positive impact it creates on customers. Usually organizations evaluate the success of projects based on the performance of the CTQ (before-after studies). While this is definitely a good way to assess the impact, more often than not, such movements in CTQs aren’t felt by the customers. Considering several other business parameters to validate the impact of the CTQ, including post improvement Voice of Customer may be a very good method. For example, a reduction in defects certainly will reduce the rework effort, increase productivity, reduce complaints, apart from increasing customer satisfaction.
  • Making a discovery – Any successful Lean Six Sigma project should un-earth something new, make a discovery about the problem. A project without a discovery could mean we are fixing obvious things. In order to ensure the project team makes a discovery, the quality of work done in the Measure and Analyze phase have to be evaluated. Have the teams identified all possible causes to the problem? Have they collected data of good quality and quantity? Have they holistically analyzed the data to make the discovery? And finally what is the discovery?

Based on my experience with Lean Six Sigma in the last 2 decades, I would consider these 6 factors as significant elements of successful project.


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Analyze Phase of Lean Six Sigma Project is the third phase. Following are the deliverable of this phase that Six Sigma Green Belt should deliver with her team:

Statistically Validate Root Causes

The data that has been collected in the Measure Phase is used to draw statistical associations between CTQ measures and causes. The causes that are statistically significant are the root causes. There are a variety of statistical tools to establish this association. Depending on the type of data – continuous or discrete – tools are selected. Such tests are generally called as Hypothesis tests. 2-t Test, Z-test, t-test, ANOVA, Chi-Square Test, Correlation, Regression, etc., are few common hypothesis tests.
The procedure to perform, and interpret all the above tests are usually covered in detail in Lean Six Sigma Green Belt Training programs.

Perform Value Stream Mapping & Process Value Analysis

Value Stream Mapping (VSM) is a popular tool used in Lean methodology; as an alternate approach to statistically identifying Root Causes, or in conjunction with it is the application of Value Stream Mapping and Process Value Analysis. It is used to identify the 7 types of Wastes (Muda – in Japanese) in a process. VSM is a holistic method to visually document the way in which value is getting built in a process.
The 7 types of process wastes are generally referred to as Non-Value Added tasks in conventional Six Sigma. The procedure of associating every task in a process as either Value Adding (VA), Non-Value Adding (NVA), or Value-Enabling (VE) is called as Process Value Analysis.
These methods are very useful in projects where extensive data collection is not possible, or in projects with Turn-Around Time or Delay reduction.

Control-Impact Matrix

The final deliverable of the Analyze phase is to summarize all the findings from Statistical validation or Process Value Analysis (& VSM) in a 2×2 matrix called as Control-Impact Matrix. It is important to ensure that the project doesn’t end up as an academic exercise or research study. Hence, the Lean Six Sigma team needs to identify root causes which have high impact, and well within the control of the team. This is done through a team discussion with the involvement of the project sponsor.
Once the root causes have been identified, & a formal Analyze Tollgate review is completed; the Lean Six Sigma Project is ready to move to the Improve Phase. Next >>>


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Control phase is the fifth and final phase of Lean Six Sigma projects. Following are the deliverable of this phase:

Prepare Control Plan

Control Plan or Process Management Plan is a document ensuring that a robust mechanism to monitor and follow-up is established before the solution is implemented. Most Lean Six Sigma projects don’t exist after a few years of implementation. Usually, it is because of a poor control plan. A control plan covers: which metrics will be monitored, method of monitoring, how often, by whom and what has to be done when they go out of control (aka Reaction Plan).

It is recommended to have a control plan that is easy to implement and sustain.

Final Implementation

Real implementation of a solution is part of the Control phase. Change management skills of the green belt is tested during this stage.

Establish Statistical Process Control

As a part of the control plan, the method of monitoring has to be specific. Statistical Process Control uses well known Control Charts or Shewhart Charts. A control chart, computes the lower and upper control limits as a threshold to monitor any process measures; like CTQ. As the threshold is breached, the reaction plan has to be triggered. As the name suggests, it is a chart that is based on the principles of statistics, and hence there are no false alarms. Instilling the discipline of creating control charts and monitoring as per Control Plan is part of the rigor of a Lean Six Sigma Green Belt.

Benefits Computation & Closure

The last deliverable of the Lean Six Sigma project is Benefits Computation and Closure. But before that, the project is monitored for enough time (2 weeks to 2 months) to ensure that benefits are sustained. When the Lean Six Sigma Team is satisfied with the results, then the improved process is formally handed-over to the process owner.

Financial and non-financial benefits are computed based on actual results, and a formal sign-off from the finance manager and sponsor is obtained. This will be the project closure.
The Lean Six Sigma team celebrates its success; distributes rewards for active team members; and finally the Six Sigma Green Belt Certification Ceremony is undertaken.


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Improve phase is the fourth phase of Lean Six Sigma projects. Following are the deliverable of this phase:

  • Identify Solutions to overcome the impact of root causes
  • Refine Solutions (FMEA, Poka-Yoke)
  • Pilot Solutions
  • Statistically validate results

Identify Solutions to overcome the impact of root causes

For each of the root causes identified in the Analyze phase, the Lean Six Sigma Team uses an apt structured or unstructured brainstorming method to generate various alternatives to overcome the problem. These techniques may include Channeling, Anti-solutions, Analogy, Wishful thinking, Random word stimulus methods, etc.
SCAMPER is another popular method which can be used by the Six Sigma Green Belt to systematically improve the current process using any of the following methods: Simplify or Substitute, Combine, Adapt, Modify, Put to different use, Eliminate & Reduce.
If there are too many options that the team has identified, then a variety of solution screening methods can be used to select the best solution for implementation. These screening methods include NGT (Nominal Group Technique), N/3 Voting, Criteria Based Matrix (CBT), etc.

Proposed solutions can be a new process, technology change, policy changes, alterations of inputs, measurement system refinement, customer, employee or vendor education, etc. In such cases, either revised process map, future state value stream mapping,  etc., may need to be proceeded.
The solution that the team has selected should directly impact the CTQ of the project. Six Sigma Green Belt should validate this.

Refining the Solutions (FMEA, Poka-Yoke)

Before implementing solutions, the Six Sigma Green Belt needs to ensure that the proposed solutions are complete and well refined. This will ensure that there are no delays, rework during implementation, and the full impact on CTQ is derived. In order to do this, a tool called Failure Modes Effect Analysis (FMEA) is used. The main purpose of this tool is to assess all the risks involved with a solution, and how to mitigate them by refining the solution before implementation. Risk Priority Number (RPN) derived from FMEA helps in prioritizing the risks and acting on them in a systematic manner.

Mistake-proofing (Poka-Yoke, in Japanese) is a method used to ensure that the proposed solution doesn’t create additional defects or errors. This can be used in conjunction with FMEA.
Pilot Solutions
Now the solution is ready for pilot. The purpose of the pilot is to assess its impact in a control group setting. Based on the qualitative and quantitative results of the pilot, necessary alternations can be incorporated to the final solution. Six Sigma Green Belt should closely work with the process owners during pilot to understand ground realities and build ownership.

Statistically validate results

In Lean Six Sigma Projects, it is an important step to statistically validate the impact on CTQ (before implementation & after Implementation). Hypothesis tests like 2-t test, ANOVA, Chi-square tests, etc., are used to perform this statistical validation. These tests help to identify if the improvement is significant or marginal in nature. Six Sigma Green Belt should be able to select and perform appropriate tests using statistical softwares.
On successful completion of these deliverable and formal Improve tollgate review, the Lean Six Sigma project team is ready to move to the Control phase.   Next >>>


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Measure Phase of Lean Six Sigma Project is the second phase. Following are the deliverable of this phase:

  • Identify all possible causes (Cause & Effect Diagram)
  • Validate Measurement System, Data Collection & Sampling
  • Establish Process Capability

Identify all possible Causes (Cause & Effect)

In the measure phase of a Lean Six Sigma Project, the team brainstorms to identify all possible causes or reasons for the occurrence of the problem. Thus, there is a direct linkage between a project charter and this deliverable. Fish-bone diagram is a structured brainstorming method used to carry out this activity. Fish-bone diagram is also called as Ishikawa or Cause & Effect diagram. After completing this brainstorming, the team applies the 5-why technique to further explore the underlying causes for all the reasons identified in the fish-bone diagram. At the end of these two activities, the team has an exhaustive list of possible causes for the problem. Usually there are around 50~100 possible causes for the problem. It is the responsibility of Six Sigma Green Belt to facilitate these activities.
As a next step, using their process knowledge and experience, the team has to agree on few causes; which potentially cause the problem. There are several methods to do this, but the most popular method is the use of Cause & Effect Matrix (C-E Matrix). Potential Causes are suspects that are causing the problem. However, before acting on them, the team needs to gather data or facts to validate them.

Validate Measurement System, Data Collection & Sampling

Data Collection plays a very important role in all Six Sigma projects. But before collecting data, the team has to assess if the measurement system (measuring instrument, appraiser & environment in which measurement happens) is accurate and precise. Hence the team has to perform Measurement System Analysis (MSA) – aka Gage R&R. Once the team ascertains that the measurement is good, then a data collection plan is prepared. Data Collection Plan (DCP) includes the measures whose data needs to be collected, how much data to collect, data source, and who will collect the data, etc. While the entire team can participate in this activity, Six Sigma Green Belt has to take a lead role, as this will involve technical concepts of Gage R&R covered in the training program.
Unlike conventional data collection; in Lean Six Sigma projects, data is collected on both the CTQ and the potential causes identified in a Cause & Effect Matrix. Due to the quantum of data involved in most businesses, it isn’t practically viable to collect data of the entire population. Hence the team has to resort to statistical sampling methods.
As a next step, data collection is executed. From time-to-time a Six Sigma project team needs to validate the data collected. Sometimes, the data collectors need to be trained and retrained. Once the data collection is complete, it is ready for a process capability assessment. Usually many projects get delayed because of poor data quality or delay in collecting sufficient data. When a Six Sigma Green Belt takes special care, this activity can get completed on time.

Establish Process Capability

Process Capability is the ability of the process to deliver as per customer requirement. There are various process capability indices, but in Lean Six Sigma projects, sigma capability is the most popular measure. This exercise gives an accurate report on the current process performance. As these indices are covered in the training program, Six Sigma Green Belt has to take a lead role in conducting this study. The output of Process Capability study can be used to validate the process objectives and anticipated benefits in the charter. If needed, the Lean Six Sigma project charter can be revisited.
On completion of the above deliverable, and a formal Measure Phase tollgate review, the team is ready to move into Analyze phase. Next>>>


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Define Phase is the first phase of Lean Six Sigma Project. Following are the deliverable of this phase:

Develop the Project Charter

Project Charter is an important document that summarizes the purpose, current scenario & goal, measures of success (CTQ), project’s scope, quantitative & indicative project benefits, and team members. This is the most important document, as it creates a term of reference for this entire Lean Six Sigma project. In order to prepare the project charter, several meetings and preparatory steps may be needed. In some cases, gathering the Voice of Customer (VOC) may be required to even understand the problem.
Project Scoping determines exactly how the project will contribute to overall business, whether the efforts will be diverted to maximum impact area, team composition, financial resources required, etc. In Six Sigma, a tool called ‘In-Frame Out-Frame’ is used to decide on the scope.
Six Sigma Green Belt should closely work with the Project Sponsor to complete the Project Charter.

Identify the Project CTQ

CTQ refers to Critical to Quality metric. This is a measure of success for the project. Usually, there is only one CTQ for DMAIC projects. It can either be a measure of efficiency or effectiveness. However, it is a key performance indicator for Voice of Customer or Voice of Business. Further, it should be measurable. Usually, its indicative or accurate current performance is reported in the project charter.
The above two deliverable run parallel, and they are of significant importance because they mark the formal kick-off of the project, team member induction, Lean Six Sigma training (if not included earlier).

Create Process Maps

In order to understand the end-to-end process; a detailed process document is created by the team. However, in case such documentation already exists, then it becomes easy for the project team members to revisit it.

Process maps can be either high level end-to-end process documentation such as SIPOC (Suppliers, Inputs, Process, Outputs & Customers), deployment process-charts which use Swim-lane technique or step-by-step process flow-chart.  In some cases, just mapping the process itself can result in meeting the Lean Six Sigma project objectives!

Six Sigma Green Belt can involve all her team members in this activity. Two best ways of mapping a process are to interview all the parties involved in the process or to conduct a work-out session with all parties. Latter requires good facilitation skills.
Once the process maps have been created, the team can use them to identify the bottlenecks, challenges, issues, inputs & outputs, delays, etc. Essentially, it can be used to decide which part of the process is important, and needs to be introspected.
On completion of the above deliverable, a formal define tollgate review is conducted. Then the project moves to Measure Phase. Next >>>


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