Archive for the ‘Six Sigma Tools’ Category

American Kaizen

Thursday, December 3rd, 2009

Kaizen means “improvement” in Japanese. In Japan businesses view Kaizen as a way to engage everyone in improvement without spending much money. Improvements are usually small, and overall improvement is gradual. Americans have little patience for such an approach. This podcast describes the American version of Japan’s successful approach to improving products and processes.

GD Star Rating
loading...

The Roadmap to a Successful Six Sigma Project

Tuesday, October 27th, 2009

There are a lot of reasons that Six Sigma projects fail but they do not have to IF you can stick to the roadmap. I have done lots of projects most very successful but some have failed. In every case we stepped off of the tried and true path to success, the DMAIC roadmap. As simple and easy as these five steps seem to be, you will many times find them difficult to complete. But if that is happening, my advice to you is to “stay on the path”. Don’t skip a single step. If you stay on the path, you will find success.

DMAIC The five step process

So what are the five steps of this DMAIC roadmap? They are Define the issue, Measure the current state, Analyze and identify opportunities, Improve by implementing the best opportunities, and Control the new process to maintain the gains. You start every project at Define working your way through each step until you have put in place Controls to maintain your gains. What many of us do without thinking is we see a problem (Define)and go solve (improve) it. Most of the times you will find that within a year or maybe even a month or week the problem is back. What went wrong? We missed the other steps of the DMAIC roadmap. So let me spend some time talking about each step.

D – Define

The objective of Define is to define the issue (problem) and the real NEED to improve it. I call this need “the burning platform”. It can not be a nice thing to do, it has to be something that will have an impact on the bottom line of the company.

The second part of the define objective is to get alignment and commitment to solve this issue from the project sponsor and the project team. It also includes the team member’s supervision. We need them committed so they will not pull the team member for priorities lower than this project.

M – Measure

The objective of Measure is to go as a team, to where this process is physically and factually understand the existing process. This means collect facts and data not opinions. Everyone has an opinion but few have the facts to back up the opinion. I am not discounting opinions because most folks down in the trenches (and that is where you have to go) are the experts and have excellent idea of what is happening. The thing they lack is the data to prove it. So we listen to them carefully and then collect the data to prove what is happening. Note I said happening, that is not always what the expert says. But with the facts and data we can now go back to the expert and see if they now agree with what we found. Usually they do and are surprised by the findings.

The second part of the Measure objective is to then compile that data you have collected into a characterization of the current state of the process (the baseline for your project). This will show how bad things are or are not. Most of the time things will be worse than they first thought. In some cases, you may find that things are not bad at all. Then you need to explain your results to the sponsor and if the sponsor agrees close the project. You see sometimes even sponsors opinion of what is wrong is not backed by facts and data. So when you collect them it becomes obvious that this was not an issue.

A – Analyze

The objective of Analyze is to take the current state data and analyze it to determine the root causes of the issue. These root causes become opportunities to improve. Measure data shows you the “surface effects” or “pain” the company feels but not usually the deeper root of the issue. Because of that, you will usually find that you need to collect more data related to the measure data that validates the teams opinion of what is causing the current state issue to exist. So here in Analyze we have to take a “Deep Dive” into areas that measure pointed out as really needing improvement.

I – Improve

The objective of Improve is to develop and implement the best plan for improvement of the opportunities (root causes) identified in the Analyze step. There are two key phrases in this objective. “Develop the best plan” and “implement the best plan”. Develop takes some brainstorming and then some experimenting to validate that what you came up with would work. Second in develop is a plan. In the plan you will need several options so that when the time comes for getting an OK to implement it is not one or done (no action taken). Give the sponsor options to choose from but pick your best set and pitch it to them with a why it is best (remember facts and data).

The second key phrase is “implement the best plan. Whatever is picked, you need to create a detailed implementation plan. Create a time line and stick to it.

C – Control

Note: this is the most forgotten step. The objective of Control is to develop and implement the best controls to maintain the gains that the new process is producing. With anything new, things never work perfect. When things go wrong, as they will, you need a plan/ controls that will guide everyone as to what to do. If you do not do this when things go wrong, those involved will revert back to what they know and have done for years. A control plan can be as simple as a log of what happened, or as complex as a statistical control chart. What ever it is it needs to help the people working the new process continue to follow it.

There is a second part to control that has nothing to do with control but has everything to do with recognition. People on and off the team have worked very hard during the project to solve the issue and to keep things going while the team has worked to solve the issue. There needs to be a celebration and rewards for everyone involved to celebrate the success and their contribution to the solution. In today’s business world, we are faster to tell folks what is wrong than what is right so make sure you celebrate your success.

This is just a quick look at the DMAIC process and has not even address questions that should be answered in each step. My plan is to write five more articles each one addressing one of the steps in the DMAIC process in more detail. If you don’t see them at this blog, you will find them at the Six Sigma Knowledge Center.

Peter Bersbach
Six Sigma Master Black Belt
Bersbach Consulting LLC
(520) 829-0090

GD Star Rating
loading...

Jumping to Statistical Conclusions

Tuesday, September 8th, 2009

Have you attributed your results to the right base data?

It may come as a surprise that the biggest challenge facing black belts and master black belts is usually not in selecting the best statistical technique for analyzing a particular data set. Most statistical techniques work fairly well even if the underlying assumptions are not precisely correct. If a black belt supplements the numerical analysis with graphical evaluation, the chance of making grossly erroneous decisions is negligible.

A mistake that is far more serious–but far more common–is comparing the results of a study to the wrong base data. These “apples to oranges” comparisons often lead to poor decisions and, worse still, to inaccurate beliefs that can derail faith in the Six Sigma approach itself. A recent incident with a client brought this point home for me.

The situation involved a project in the sales organization of a software company. The company had several sales teams and wanted to know if a new approach to closing the sale would improve the rate of closing sales. The company didn’t have a Six Sigma program, and the project was planned and carried out without black belts. The results were presented to management in a classic form: a bar chart (see Figure 1). The team had declared victory, and management–convinced by the “data”–prepared to revamp the sales training to incorporate the new approach companywide. All of the leaders looked forward to the bottom-line improvement they’d see from a 29-percent improvement in the sales closing rate.

Figure 1: Sales Closing Rate Improved by New Approach

All of the leaders, that is, except Lorraine. She’d received green belt training from her previous employer, and she’d seen enough black belt presentations to know that the analysis of the sales team was seriously flawed. It was undeniable that the project team’s sales close rate was 2.53 percent higher than the sales close rate for the rest of the sales department during the 16 weeks of the test, and, yes, the 2.53 percent did represent a 29-percent improvement over the 8.83-percent rate for the rest of the team. Despite these “facts” and the air of scientific objectivity surrounding the analysis, Lorraine had many unanswered questions. She asked management to delay any decision until she could explore these questions with a Six Sigma consultant. That’s where things stood when I entered the picture.

Table 1: Old vs.
New Closing Rates

Lorraine viewed the analysis as important because it would demonstrate that the Six Sigma approach could be applied in this service company, something that skeptical managers didn’t believe. In a meeting with the sales team leader, I was presented with the data shown in Table 1. As often happens, this summary data was all that was available; for a variety of reasons (but chiefly due to a time constraint) the number of sales calls used to compute these rates could not be obtained.

If you are a black belt or master black belt, or just statistically inclined, please take a couple of minutes before reading the remainder of this column to think about the data and jot down how you’d proceed from here.

When dealing with the data in Table 1, it’s tempting to apply a statistical technique such as a paired t-test to it. Using Microsoft Excel, it’s a simple matter to compute the t-statistic, which is 4.55, a highly significant result. Statistical purists would ask if the data are approximately normal and an endless variety of other technical questions about the data. I would argue, however, that all of this is premature and, ultimately, beside the point. The first order of business is to determine if we are comparing apples to apples.

Table 2: Apples-to-Apples Comparison

Further discussion revealed that the company had not two but nine sales teams, all of the same size. A further complication was that the teams sold different products. More probing uncovered the fact that four of the eight other teams sold a product mix similar to that of the team using the new closing method. At this point it appeared that, to make an apples-to-apples comparison, you would assess the results of these five teams for the 16-week project. Descriptive statistics are shown in Table 2.

Table 3: Data Groups

Further analysis using nonparametric methods indicated that there are three distinct groups in these data (see Table 3).

Table 3 presents a decidedly different picture than was originally given to management. The new closing method now appears to be no better than normal. Still, there are bright spots. Assuming that teams 5 and 8 aren’t oranges being compared to apples, potential gains should be possible from discovering why team 5 performs under the norm, and why team 8 outperforms the norm. More information might also be obtained by plotting the 16 weeks over time to identify trends and other patterns. Using the Six Sigma approach, the information can be converted to knowledge, the knowledge to action, and the action to an improved bottom line. It’s more work than the old standby, the bar chart, but it’s worth it.

The complete data file used in this article is posted at www.pyzdek.com/2000-05.xls . The challenge is to analyze the data in a number of different ways to determine how the different analyses would affect management decisions. Send your results to me for inclusion in a future column.

GD Star Rating
loading...

Design of Experiments and Baseball

Monday, August 31st, 2009

A Black Belt steps up to the plate with Six Sigma confidence.

Bill had a problem. His company’s baseball team wasn’t doing that well, and he was part of the reason. Bill was in a long slump. Frankly, he stunk at the plate.

But Bill is a Six Sigma Black Belt. He decided to approach his batting problem just like he would approach any process problem at work–by conducting a designed experiment. First, Bill determined which factors are important. He wrote up a lengthy list and then winnowed it down to four experimental variables (see Table 1).

Table 1: Experimental Variables for Hitting

Bill decided to spend a few evenings and weekends on the practice field swinging at 100 pitches for each of the 16 combinations of the four variables needed to conduct a full-factorial experiment. The field was equipped with a pitching machine that could be programmed to throw pitches at either 60 mph or 80 mph. Bill decided to count any ball that went past the infield in fair territory as a hit. Over a two-week period Bill was able to complete the experiment, producing the results shown in Table 2.

Table 2: Bill’s Batting Experiment

The analysis indicates that factors B and D, and especially the C-D interaction, make big differences in Bill’s performance. Factors A and C do not have a significant effect on Bill’s batting average. The analysis in Table 3 shows the details.

Table 3: Significant Factor Effects

The 95-percent confidence interval for C (position in the batter’s box) includes zero, meaning that C is not statistically significant as a main effect. (C is included because the significant C-D interaction term requires it for statistical reasons.) However, the other factors in the table–B (choke on the bat) and D (speed of the pitch)–are statistically significant. The most important factor is the C-D interaction, which has an impressive effect of more than 9 percent. The coefficient estimate tells us what happens to Bill’s batting average as we go from one level of the variable to another. For example, when B is at the high level (choke up on the bat two inches), Bill’s batting average improves by about four percentage points.

The analysis indicates that when Bill is facing a pitcher with real heat (80 mph isn’t too bad for an amateur pitcher), he can improve his batting average from 8 percent to 28.75 percent by standing near the back of the batter’s box (see Table 4). Conversely, when Bill is up against a 60-mph hurler, he’s better off in the front of the batter’s box (38.75 percent in front hits vs. 15 percent in back). Combining all of these results, Bill’s strategy is to always choke up on the bat and position himself in the batter’s box depending on the expected speed of the pitch.

Table 4: Bill’s Results

Bill may not be ready for the majors with this strategy, but he’s hitting a lot better than the .206 (20.6%) he’d been getting without a strategy. In the meantime, Bill, work on hitting that fast ball!

GD Star Rating
loading...

Using the Theory of Constraints to Choose Six Sigma Projects

Monday, July 13th, 2009

The theory of constraints helps pick winning projects.

If you choose the wrong projects it’s possible to make big “improvements” in quality and productivity that have absolutely no impact on net profit. One approach uses the theory of constraints (TOC) to determine which project(s) to pursue.

Every organization has constraints, which come in many forms. When a production or service process has a resource constraint, the sequence of improvement projects should be identified using very specific rules. According to Eliyahu M. Goldratt, the rules are:

Figure 1: A Simple Process with a Constraint

1. Identify the system’s constraint(s). See if you can identify the system constraint in Figure 1. The answer is printed at the end of this column. This fictitious company produces only two products, P and Q. The market demand for P is 100 units per week, and P sells for $90 per unit. The market demand for Q is 50 units per week, and Q sells for $100 per unit. Assume that A, B, C and D are workers who have different, noninterchangeable skills and that each worker is available for only 2,400 minutes per week (8 hours per day, 5 days per week). For simplicity, assume there’s no variation, waste or similar problems in the process.

2. Decide how to exploit the system’s constraint(s). Look for Six Sigma projects that minimize waste of the constraints. For example, if the constraint is the market demand, we should look for Six Sigma projects that provide 100-percent on-time delivery. If the constraint is a machine, focus on reducing setup time, eliminating scrap and keeping the machine running as much as possible.

3. Subordinate everything else to the decision made in step 2. Choose Six Sigma projects that maximize throughput of the constraint. First choose projects to eliminate waste from downstream processes; once the constraint has been utilized to create something, we don’t want to lose it to some blunder downstream. Then choose projects to ensure that the constraint is always supplied with adequate nondefective resources from upstream processes. We pursue upstream processes last because they have slack resources, so small amounts of waste upstream that are detected before reaching the constraint are not damaging to throughput.

4. Elevate the system’s constraint(s) . Elevate means “Lift the restriction.” Often the projects pursued in steps 2 and 3 will eliminate the constraint. If the constraint continues to exist after performing steps 2 and 3, look for Six Sigma projects that provide additional resources to the constraint. These might involve, for example, purchasing additional equipment or hiring additional workers with particular skills.

5. If, in the previous steps, a constraint has been broken, go back to step 1. If the constraint has been lifted, you must rethink the entire process. Returning to step 1 takes you back to the beginning of the cycle.

Table 1: Process Scrap rates

The TOC approach is superior to traditional total quality management project selection. For example, consider the data in Table 1. If you apply Pareto analysis to scrap rates, you would begin with Six Sigma projects that reduced the scrap produced by Worker A. In fact, assuming the optimum product mix, Worker A has about 25-percent slack time, so the scrap loss can be made up without shutting down Worker B, who is the constraint. The TOC would suggest that the scrap loss of Worker B and the downstream processes C and D be addressed first, the exact opposite of what Pareto analysis recommends.

Of course, you’ll still need to perform cost-benefit analyses, and you should estimate the probability of the project’s success. But by using the TOC you’ll at least know where to look first for opportunities. I’ll discuss how to select an optimum set of projects from these opportunities in a future column.

GD Star Rating
loading...

Human Metrics

Monday, July 6th, 2009

Six Sigma teaches us to view everything as a process. We should take an objective look at the system, measure the values, form a model, enact changes on the process, and observe the effects of these changes. However, we sometimes want to measure objectively something that is intrinsically subjective, the opinions of people. These fall under the category of what I like to call “Human Metrics.” Some common examples of these metrics are customer satisfaction, perception of quality, and ease of use. How do we accurately measure these values?

Surveys are regularly used as the catchall for human metrics. This has several flaws, though. First, people are not consistent graders, and a 7/10 for one person may be an 8/10 for another. Ultimately, though, this is not a problem because it represents the same sort of variation you will see in any measurement. The second problem is self-selection of responders. This is well documented, and can create extreme disparities between real and actual numbers. A good example of this can be found with call-in surveys. In many cases, only those with a chip on their shoulder will be compelled to call, creating a clearly biased sample. To counter this, sometimes incentives are offered to get a higher response rate, but this brings us to the third problem with surveys, non-response. Where some people may choose to simply not respond to a survey, others will purposely subvert the survey itself by ignoring the questions and answering in some sort of pattern. This is common with incentives, like contests for surveys, because it is so easy to simply hit the number one repeatedly without hearing the questions being asked. It can be hard to pick out this group, and one can only hope that over the long term the collective contributions of these unresponders will balance each other out.

How do you deal with these problems? A common solution is to try to address and eliminate the issues inherent to surveys. Select the sample by hand, normalize the scores across respondents, and remove surveys with obvious patterns or very unusual scoring habits. Ultimately though, even if these methods were perfect at eliminating their respective flaws, you would still be left with the fact that people are bad judges of their own opinions. Thus, you cannot use the responses to predict future behavior. This brings us to the best method for retrieving human metrics, using a proxy.

Measurement by proxy is a method that has existed for millennia. If you know the angle of the sun, you can measure the height of a flagpole by measuring the length of its shadow. You can apply this to human metrics and find values from behaviors that reflect certain opinions. Often, these are the values you care about most. Repeat sales, for example, is a good measurement of customer satisfaction. However, while repeat sales a metric that you can find using existing data, some require testing. For example, if you want a metric for ease of use, then you can look at the time taken to use the product. To test this, one might take a group of people with little or no familiarity with a product and ask them to use it. The time taken does not exactly demonstrate ease of use, but the two are related enough to make this a reasonable proxy in certain situations.

That is not to say that surveys cannot be useful, or don’t have a place. Simply put, they are very easy to implement, and consistent surveys allow the tracking of trends in user opinions. Additionally, measurement by proxy is far from perfect. Other factors in your system can seep into your measurement and taint the values. For example, the number of repeat sales may be artificially increased by having a product with a short lifespan. Naturally, the short lifespan is bad for customer satisfaction, but the proxy would insist otherwise.

In conclusion, as a Six Sigma expert, you should look to be quantitative in your assessment of systems. Human metrics are no exception to this rule. You cannot abandon the Six Sigma philosophy just because “Everyone is different.” Instead, look to measure how they are different.

GD Star Rating
loading...

How To Calculate Process Yields

Thursday, July 2nd, 2009

Unit yields are a misunderstood tradition.

Sam handed Peter a computer printout and asked, “If the yields are so high, why is my efficiency so low?”

Peter studied the report for a moment and then nodded. “Let me show you what’s going on,” he said as he picked up a marker and drew a diagram (see Figure 1).

Figure 1: Process with 10 Steps


“This process has 10 separate steps,” Peter began. “Each step has a yield of about 90 percent. This is the unit yield for that process step.”

“Right,” Sam interjected. “And all of them are about 90 percent, so the average yield for the whole process should be about 90 percent.”

“Yes, but that isn’t the number you need if you’re trying to determine the final yield for the process,” Peter responded. “Final yield is the proportion of defect-free units out of the final process step relative to what you started with at the first process step.”

Sam nodded. “Yeah, but even though the average yield is nearly 90 percent, our final yield is nowhere near that high.”

Peter turned back to the board. “Here’s a mathematical model of what happens when all process steps have the same unit yield.” He wrote an equation:

Yoverall = (Ystep)number of steps

“The unit yield at every step is about 0.9, but you have to multiply the step unit yields together to get the final unit yield. You can’t just average them,” Peter explained. “Think of a simple two-stage process. You start 100 units at the first step and 90 pass. These 90 start the second step and 90 percent of them pass, leaving 81. The average unit yield is 90 percent, but the final unit yield is only 81 percent.”

“So for our 10-step process,” Sam began.

Peter punched his calculator keys. “0.9 raised to the 10th power is about 0.35. So 35 percent is your predicted final yield.”

“And that’s pretty close to what we’re getting,” Sam said.

Peter knew that misunderstandings on yields lead to a variety of poor management decisions. He was pleased that Sam had asked for clarification. But, Peter knew, Sam still didn’t know the whole picture. Six sigma requires an entirely different mental model of yields.

“That’s not all,” Peter said. “So far we’ve been talking about unit yields. That’s the customary way of doing it around here, but there’s a better way.”

“Unit yields often have very little to do with costs,” Peter continued. “Who knows how we got those 350 good units? Maybe they were reworked several times. There can be a lot of cost hidden in the numbers. If you want an accurate picture of process performance, use rolled throughput yields.”

Peter sketched another picture on the board (see Figure 2).

Figure 2: Unit Yields vs. Rolled-Throughput Yield

“Let’s assume that we have two lines making the same product. If we only look at unit yields, they look much different. One process has a 50-percent yield, the other a 90-percent yield. But assume that each unit had 10 critical-to-quality characteristics. If we look at characteristics, we see that both have produced five defects in 100 defect opportunities. In terms of the ability to produce defect-free quality characteristics, they’re actually the same.”

“So if it costs $100 to fix a defect, the two processes have about the same rework cost, even though the unit yields would make the first process look a lot better,” Sam replied, nodding.

“This is exactly why we use rolled throughput yields in six sigma,” Peter responded. “They correlate much more closely with labor, cycle time, rework costs and other important management metrics.”

Sam frowned. “That means that our efficiency reports are worse than useless–they’re misleading!”

Peter smiled.

“Thanks, Peter!” Sam exclaimed. “I think you’re just the man to head a project to fix them!”

Yields: A Glossary

Yield, First-time Yield (unit-based)–the number of units that pass a particular inspection compared to the total number of units that pass through that point in the process.

Final Yield (unit-based)–the number of units that pass the last step in a series of steps in a process compared to the number of units the entire process started with.

Throughput Yield (defect-based)–the probability that all defect opportunities produced at a particular step in the process will conform to their respective performance standards.

Rolled Throughput Yield (defect-based)–the probability of being able to pass a unit of product or service through the entire process defect-free.

Normalized Yield (defect-based)–the geometric average throughput yield one would expect at any given step in the process. Analogous to the “typical” yield. For a k -step process, the normalized yield would be the kth root of the rolled throughput yield. A note of caution: This metric can be misleading if the throughput yields of the process steps vary a great deal.

GD Star Rating
loading...

The Six Sigma Knowledge Gap

Monday, June 29th, 2009

Statistical probability should be used only when we lack knowledge of the situation and cannot obtain it at a reasonable cost.

I recently attended a presentation using a control chart. The control chart showed a process in statistical control at about an 8-percent reject rate. The presenter noted that the process was stable and went on with her presentation. I barely avoided shouting that, while stability is nice, an 8-percent reject rate is not acceptable. The 8-percent level represents a certain amount of ignorance about the process; a level I find unacceptable. The problem is that the presenter didn’t think of it that way at all. To her, 8 percent represented a considerable accomplishment.

This blog is for those of you who, like me, want to scream that, as long as improvement is economically justified, “It’s never good enough!” I will present a way of measuring ignorance; a simple-to-compute statistic which highlights the fact that there is always something to learn about how to improve a given process.

First, let’s take a look at the philosophy that underlies statistics. In his book, The Art of Thinking, philosopher Leonard Peikoff wrote, “Statistics are applicable only when: 1. You are unavoidably ignorant about a given concrete; 2. Some action is necessary and cannot be deferred.”

In other words, if you’re trying to determine a course of action, your best bet is to acquire knowledge, not to blindly use statistics to guide you. While it’s true that we don’t want to tamper with a stable process, it’s also true that we don’t want to settle for anything other than the best level of quality we can provide. Control charts guide us away from tampering, but they don’t tell us how we can improve the process. Only new knowledge can do that.

Statistical probability should be used only when we lack knowledge of the situation and cannot obtain it at a reasonable cost. If we have direct knowledge about a situation, or can get it through a bit of research or by consulting someone who has it, then we should not blindly follow the statistical probabilities. In other words, if you know something about the situation, you should act on what you know.

Statistics are an expression of ignorance. They should only be used when ignorance is unavoidable, i.e., when knowledge is absent and unobtainable. Statistics are not knowledge. They are a calculation that permits action in the face of ignorance. This is the critical point missed by the presenter. She assumed that if she simply stated the level of ignorance, further improvement was not necessary.

Properly used, statistics measure ignorance or, conversely, knowledge. For example, assume that you want to buy a new piece of production machinery. Think of the important variables in the process as a list of 100 items, all of them unknown. You begin by creating a list of those items you believe to be important and prepare a plan to control as many of these items as possible. Let’s say you start with 75 items. Assuming that every item on your list is actually an important variable, these 75 items are special causes–things that affect your process and must be controlled. The remaining 25 items are common causes of variation, unknown to you but also important causes of process variability even though any one of these causes will have only a small effect.

From this starting point, you conduct a process capability study and, using statistics, quantify your knowledge as explaining all but +/-0.003″ of variation in the process. There are some out-of-control data points. After investigating these, you identify five more important variables. The process stabilizes, i.e., all of the remaining points on the control chart fall within the control limits.

Let’s assume that the control limits for the X-chart are now +/-0.002″. In philosophical terms, this means that you acquired +/-0.001″ of new knowledge, but +/-0.002″ of ignorance still remains. As time goes by and you learn more, the control limits will measure the amount of your learning. If in a year the control limits are at +/-0.001″, then you’ve learned enough to reduce the process variation by 50 percent.

As soon as you acquire this knowledge, the previous statistics become irrelevant. Gaining knowledge is the equivalent of converting special causes into common causes. This is like discovering more and more items on the list of things that cause your process to vary. You may never discover every item on the list, but with statistics to help you keep score, it’s fun to try. One way to make it even more fun is to plot a “knowledge chart.” Here’s how it works:

Qdbullet Record the process standard deviation from your most recent process control chart, for example, S0 = 10.

Qdbullet For each subsequent complete control chart, compute the process standard deviation, for example, s1 = 9.

Qdbullet Compute your relative knowledge,

k, as K=100% x (S0-S1)/S0

For our example, K= 100% x (10-9)/10 = 10%

As you reduce your ignorance to zero, the knowledge measure will go to 100 percent. It’s a fun way to keep track of your quality progress!


GD Star Rating
loading...

Process Capability-in English

Tuesday, June 9th, 2009

To many quality engineers and managers, process capability is a jumbled confusion of ideas expressed in jargon that only the anointed can understand.

Imagine the following scene. The boss rushes into the quality director’s office. He’s obviously distraught.

(Boss enters, walking quickly from stage right.)

Boss: “Jane, we’ve got a serious problem. Our biggest customer just called. Their assembly line is shut down because the last batch of XYZ-50’s that we shipped won’t fit into their assembly fixtures. What happened?”

(Jane, sitting at her desk, puts down her pen and looks up at her boss. She shakes her head in dismay.)

Jane: “I knew this would happen sooner or later, boss. The problem is that our customer requires us to provide a Cpk of 1.33 or higher. But the formula they make us use assumes normality, and the XYZ-50 has a skewed distribution. If we center the process to maximize Cpk, then the tail area extends beyond the specification limit .”

(Boss exits, stage right, shaking his head and wearing a puzzled expression.)

I fear that when the quality profession talks about process capability, this is how we sound to others. To many quality engineers and managers, process capability is a jumbled confusion of ideas expressed in jargon that only the anointed can understand. Let me try to clear the air on the subject.

Process capability is about one thing, and one thing only: quality. It answers the simple question, “Can you meet my requirements?” Ideally the customer would like a simple answer, yes or no. Unfortunately, this is not possible due to one or more of the following:

Inspection is not perfect; even 100-percent inspection won’t guarantee 100-percent quality. Explaining this becomes complicated.

All processes vary, and the variation must be analyzed using statistical methods that always predict at least an occasional failure. The statistics virtually always get complicated.

Measurement isn’t perfect, so even if a process did have zero variation, our measurements would still vary. This means that we might accidentally ship a defective item even if we measure it carefully. Not only that, our measurements of a particular item might be somewhat different from our customer’s measurements. Explaining how two trained people using the same type of instruments can check the same item and get different results can get complicated.

We or our customer might not properly understand the requirements. Human communication is always complicated.

Yet it’s really not complicated at all. In fact, the customer’s question can be answered easily, and the answer is: no. For all of the reasons listed, and many more, we cannot guarantee that we will always deliver a product or service that meets the customer’s requirements as understood by the customer.

So, now what? The best approach is also the most radical: Be honest. Tell customers about how many items they are likely to receive, on average, that will not meet the requirements. This cuts right to the heart of the matter. It tells customers what they want to know. It works for variables data and attributes data. If control charts are being used, the estimate can be obtained directly from the process average (for attributes data) or the process average and standard deviation (for variables data). The count can be adjusted to include sorting operations, inspection error, measurement error and all of the other factors that influence what the customer receives.

If our process is extremely good, we can tell the customer that, while we can’t guarantee perfection, we can provide quality in the near-perfect range. One good way of quantifying this is to use parts-per-million quality statements. For example: “Our return rate on this item is three returns per million items in service per year.” Most people can easily understand this statement. A customer ordering up to several thousand items will probably, and accurately, interpret this to mean “zero defects.”

If our process is less capable, stating the expected number of defective items that the customer will receive might result in a shock to both the employees and the customer. This may provide the incentive needed to improve quality.

High-volume production is another area where stating process capability as expected defectives can provide insights. A defect rate of 1/10 percent sounds pretty good. But a can line may produce in excess of 1,000 cans per minute, so a reject rate of 1/10 percent would result in the production of 1,440 defective cans per day. If the defect is major, say a leaking can that could damage many cases of product in a warehouse or truck, even a defective rate of one in a million might not be acceptable; it would result in several serious problems each week. For such processes, parts per billion quality may be required.

If a process is not in statistical control for unknown reasons, there is no way to state the process capability with any degree of precision. The best option is to tell the customer what the expected defectives will be (based on the historical data) and hope for the best.

The key to good customer relations is clear communication. The easiest way to get the point across is to tell the customer what level of product or service quality to expect, using plain language.

GD Star Rating
loading...

Six Sigma, Data Mining and Dead Customer Accounts

Monday, June 8th, 2009

The quality profession must focus on things done right.

In the February issue of Quality Digest, Joseph M. Juran pointed out that quality needs to “scale up” if it is to remain a viable force in the next century. In other words, quality must spread beyond its traditional manufacturing base.

A major opportunity to do just that now exists, as Six Sigma enjoys a resurgence of interest among quality professionals and “data mining” is the hot topic among information systems professionals. Six Sigma involves getting 10-fold improvements in quality very quickly; data mining uses the corporate data warehouse, the institutional “memory,” to obtain information that can help improve business performance.

The two approaches complement each other, but have differences as well. Data mining is a vaguely defined approach for extracting information from large amounts of data. This contrasts with the usual small data set analysis performed by quality engineers and statisticians. Data mining also tends to use automatic or semiautomatic means to explore and analyze the data. Again, this contrasts with traditional hands-on quality applications, such as control charts maintained by machine operators. Data mining for quality corresponds more closely with what Taguchi described as “off line” quality analysis. The idea is to tap into the vast warehouses of quality data kept by most businesses to find hidden treasures. The discovered patterns, combined with business process know-how, help find ways to do things better.

Data-mining techniques tend to be more advanced than simple SPC tools. Online analytic processing and data mining complement one another. Online analytic processing is a presentation tool that facilitates ad hoc knowledge discovery, usually from large databases. Whereas data mining often requires a high level of technical training in computers and statistical analysis, OLAP can be applied by just about anyone with a minimal amount of training.

Despite these differences, both data mining and OLAP belong in the quality professional’s tool kit. Many quality tools, such as histograms, Pareto diagrams and scatter plots, already fit under the information systems banner of OLAP. Advanced quality and reliability analysis methods, such as design of experiments and survival analysis, fit nicely under the data mining heading. Quality professionals should take advantage of the opportunity to share ideas with their colleagues in the information systems area.

Example: A bank wants to know more about its customers. It will start by studying how long customers stay with the bank. This is a first step in learning how to provide services that will keep customers longer.

This should be considered a quality study. The quality profession tends to focus too much on things gone wrong in identifying failures, then looking for ways to fail less. An alternative is to examine things done right, then look for new ways to do things that customers will like even better. This proactive, positive approach is a key to quality scale-up and a ticket into an organization’s mainstream operations.

This bank’s baseline study can also be viewed in the traditional failure-focused sense of quality. If customer attrition is viewed as “failure,” a host of quality techniques can be used on the problem at once. In particular, reliability engineering methods would seem to apply. If we look at creating a new account as a “birth” and losing an account as a “death,” the problem becomes a classic birth-and-death process perfectly suited to reliability analysis. Rather than using a traditional reliability engineering method like Weibull analysis, the following example uses a method from health care known as Kaplan-Meier survival analysis.

Survival analysis studies the time to occurrence of a critical event, such as a death or, in our case, a terminated customer account. The time until the customer leaves is the survival time. Kaplan-Meier analysis allows analysis of accounts opened by customers at any time during the period studied and can include accounts that remain open when the analysis is conducted. Accounts that remain open are known as censored because the actual time at which the critical event (closing the account) occurs is unknown or hidden from us.

Table 1 shows the first few database records (customer names are coded for confidentiality.) The database of 20,000+ records is large by traditional quality standards, but tiny by data-mining standards. The bank manager wishes to evaluate customer accounts’ lifespan. She also suspects that customers who use the bank’s Web banking service are more loyal. Figure 1 shows the survival chart for that data set.

The information confirms the branch manager’s suspicion: Web users clearly stick around much longer than nonusers.   However, the chart doesn’t tell us why they do. For example, Web users may be more sophisticated and better able to use the bank’s services without “hand holding.” Or there may be demographic differences between Web and non-Web users. The data was also stratified by the customer’s city, revealing many more interesting patterns and raising more questions.

An obvious question is what the bank might do to improve the overall retention rate; after all, nearly 70 percent of the customers left within 1,400 days of opening their account and, from a quality viewpoint, what “defect” could possibly be more serious than a customer leaving your business?

Quality and reliability professionals already have a full arsenal of tools and techniques for extracting information from data and knowledge from information. Long before information systems became popular, data helped guide continuous improvement and corrective action. Today, organizations are having an extremely difficult time finding qualified people to help them deal with the deluge of information. It’s time we let people in the nontraditional areas of the organization know that they have an underutilized resource right under their noses: the quality and reliability professional.

GD Star Rating
loading...

Get Certified!

Be trained by Thomas Pyzdek

Black Belt

Green Belt

Learn More!

Resources for Six Sigma


Introduction to Six Sigma
Six Sigma Projects
Six Sigma Tools
Six Sigma Statistics
Six Sigma Videos (Requires QuickTime)
Leading Six Sigma
Healthcare Quality
Process Excellence Podcasts
Other Useful Links
Good books on Six Sigma and other topics

What is Six Sigma?

By Thomas Pyzdek, Author of The Six Sigma Handbook

For Motorola, the originator of Six Sigma, the answer to the question "Why Six Sigma?" was simple: survival. Motorola came to Six Sigma because it was being consistently beaten in the competitive marketplace by foreign firms that were able to produce higher quality products at a lower cost. When a Japanese firm took over a Motorola factory that manufactured Quasar television sets in the United States in the 1970s, they promptly set about making drastic changes in the way the factory operated. Under Japanese management, the factory was soon producing TV sets with 1/20th the number of defects they had produced under Motorola management. They did this using the same workforce, technology, and designs, making it clear that the problem was Motorola's management. Eventually, even Motorola's own executives had to admit "our quality stinks." Read More...