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Management Statistics and Understanding Variation

Recommended posts: Mistakes in Experimental Design and Interpretation - Measurement and Data Collection - Quality, SPC and Your Career - Performance Measures and Statistics Course Materials

July 29, 2008

Full and Fractional Factorial Test Design

An Essential Primer on Full and Fractional Factorial Test Design

Since full factorial gathers additional data, it reveals all possible interactions, but as seen by the numbers above, there is a trade-off. More data equals more information but more data also equals a longer test duration. The minimum data requirements for full factorial are very high since you are showing every experiment.

Even if you are using full factorial to get the same amount of information as a fractional factorial test, it will take more time since you need more data to see statistically relevant differences between the many experiments. You might be wondering how fractional factorial can be accurate if interactions are possible?

Random interactions of high relevance are very rare, especially when looking for interactions of more than 2 factors. You really need to design tests where you look for meaningful interactions that are based on true business requirements rather than hoping for a random and low influence interaction between a red button, a hero shot and a headline.

I am a fan of design of experiments as long time readers know (see posts on design of experiments).

Some good resources for more on the topics discussed above: What Can You Find Out From 8 and 16 Experimental Runs? by George Box - Statistics for Experimenters - Design of Experiments in Advertising.

Related: Google Website Optimizer - factorial experiment articles - Using Design of Experiments - Marketers Are Embracing Statistical Design of Experiments

February 4, 2008

Improvement Through Designed Experiments

The Rationale of Scientific Experimentation by John Dowd explains the value of designed experiments.

Another difficulty in industrial experimentation is the existence of interactions. As has been stated, manufacturing processes are complex with many factors involved. In many processes these factors interact. This is particularly so for continuous processes such as plating or sputtering. Saying that the factors interact means more than that they are related to each other. It means that the effect of one (or more) factors on the response variable(s) changes when one (or more) other factor(s) changes its value.

In order to detect interactions and understand the nature of their effects it is necessary to combine the interacting factors into the same experimental runs. The problem is not necessarily knowing in advance if the interactions exist. Sometimes they are predictable with theory. Sometimes they are discovered when the process behaves ’strangely’.

In addition to their efficiency, factorial designs also offer the only method of detecting interactions through experimentation. Because numerous factors can be combined in the same series of experimental runs, the interactions can be detected and the nature of their effects can be evaluated when they are present.

The paper also explains analytic and enumerative studies. Dr. Deming stressed the importance of understanding the distinction between the two.

Related: management improvement articles - Design of Experiments articles - Statistics for Experimenters - search statistical management improvement sites - Using Design of Experiments

January 10, 2008

Prediction Markets with Google Employees

Another interesting experiment from Google: Using Prediction Markets to Track Information Flows: Evidence from Google

In Google’s terminology, a market asks a question (e.g., “how many users will Gmail have?”) that has 2‐5 possible mutually exclusive and completely exhaustive answers (e.g., “Fewer than X users”, “Between X and Y”, and “More than Y”). Each answer corresponds to a security that is worth a unit of currency (called a “Gooble”) if the answer turns out to be correct (and zero otherwise). Trade is conducted via a continuous double auction in each security.

Google’s prediction markets are reasonably efficient, but did exhibit four specific biases: an
overpricing of favorites, short aversion, optimism, and an underpricing of extreme outcomes.

Interesting paper. I would guess most readers of this blog won’t be able to apply prediction markets to there workplace in the short term but never-the-less I find the paper interesting.

Related: Management is Prediction - Google Experiments Quickly and Often - Secrets of the World’s Best Companies

January 6, 2008

Stratification and Systemic Thinking

I am reading a fascinating book by Jessica Snyder Sachs: Good Germs, Bad Germs. From page 108:

At New York Hospital, Eichenwald and infectious disease specialist Henry Shinefield conceived and developed a controversial program that entailed deliberately inoculating a newborn’s nostrils and umbilical stump with a comparatively harmless strain of staph before 80/81 could move in. Shinefield had found the protective strain - dubbed 502A - in the nostrils of a New York Hospital baby nurse. Like a benign Typhoid Mary, Nurse Lasky had been spreading her staph to many of the newborns in her care. Here babies remained remarkably healthy, while those under the care of other nurses were falling ill.

This is a great example of a positive special cause. How would you identify this? First you would have to stratify the data. It also shows that sometimes looking at the who is important (the problem is just that we far too often look at who instead of the system so at times some get the idea that it is not ok to stratify data based on who - it is just be careful because we often do that when it is not the right approach and we can get fooled by random variation into thinking there is a cause - see the red bead experiment for an example); that it is possible to stratify the data by person to good effect.

The following 20 pages in the book are littered with very interesting details many of which tie to thinking systemically and the perils of optimizing part of the system (both when considering the system to be one person and also when viewing it as society).

I have recently taken to reading more and more about viruses, bacteria, cells, microbiology etc.: it is fascinating stuff.

Related: Science Books by topic - Data Can’t Lie - Understanding Data

December 24, 2007

Bigger Impact: 15 to 18 mpg or 50 to 100 mpg?

This is a pretty counter-intuitive statement, I believe:

You save more fuel switching from a 15 to 18 mpg car than switching from a 50 to 100 mpg car.

But some simple math shows it is true. If you drive 10,000 miles you would use: 667 gallons, 556 gallons, 200 gallons and 100 gallons. Amazing. I must admit, when I first read the quote I thought that it must be an wrong. But there is the math. You save 111 gallons improving from 15 mpg to 18 mpg and just 100 improving from 50 to 100 mpg. Other than those of you who automatically guess that whatever seems wrong must be the answer when you see a title like this I can’t believe anyone thinks 15 to 18 mpg is the change that has the bigger impact. It is great how a little understanding of math can help you see the errors in your initial beliefs. Via: 18 Is Enough.

It also illustrates that the way the data is presented makes a difference. You can also view 100 mpg as 1/100 gallon per mile, 2/100 gallons per mile, 5.6/100 gpm and 6.7 gpm. That way most everyone sees that the 6.7 to 5.6 gpm saves more fuel than 2 to 1 gpm does. Mathematics and scientific thinking are great - if you are willing to think you can learn to better understand the world we live in every day.

Related: Statistics Don’t Lie, But People Can be Fooled - Understanding Data - Seeing Patterns Where None Exists - Optical Illusions and Other Illusions - 1=2: A Proof

October 30, 2007

Fooled by Randomness

This is a nice article discussing how people are often fooled by thinking there must be special causes for patterns in random data. I still remember my father showing my classes these lessons when I was in grade school. Playing At Dice - What That “Weekend Exercise” Was All About:

Yes, that’s more or less the point. If the system is behaving statistically, it will show apparent sequential trends that in reality are mirages. The dice experiment demonstrates that - and if you look at statistical and sequential temperature data, you see the exact same behavior!

When people are asked to explain random variations in data they will make up special causes (that they often even believe are special causes even when they are not) but you can improve management a great deal by just stopping the requirement to “explain” common cause variation (which in practices mean to claim a special cause for the common cause variation). Use that time instead to standardize processes. Create control charts for critical processes. Run experiments using PDSA cycle

Related: Seeing Patterns Where None Exists - Understanding Data - Operational Definitions and Data Collection - Red Bead Experiment

October 19, 2007

2007 William G. Hunter Award

T.N. Goh received ASQ Statistics Division’s 2007 William G. Hunter Award. He sent me this email:

You may not realize that I first met Bill 38 year ago, when he was in Singapore helping us set up the first school of engineering in the country. He persuaded me to go to the graduate school at UW-Madison and I daresay that’s the best advice I ever got in my whole career. Now when I come to think of it, what Bill stood for in his lifetime has not been, and never will be, out of date. He had advocated the use of statistical thinking and the systems approach, which if anything is even more critical today in handling issues such as global warming and government effectiveness.

Also, statistical design of experiments has assumed an increasingly important role in performance improvement and optimization in the face of constrained resources, again something always in the minds of engineers, managers and business leaders. From time to time there are others who package statistical tools under labels Bill might not even have seen himself, such as “Design for Six Sigma“, but the underlying idea is still the same: recognize the existence of variation, and the earlier you anticipate it and do something about it, the better off you will be in the end.

Bill’s zeal in spreading the message and sharing his knowledge and expertise with people in other parts of the world is well known; I would even say that he had recognized that “the world is flat” way before the likes of Tom Friedman discovered the reality of globalization!

So that’s to share my thoughts with you, having being honored by the Bill Hunter award. I am copying this to Stu, also to Doug who chairs the committee for this award. I reality enjoy the professional association and friendship with you all.

I had not realized Dad was helping set up the first school of engineering in Singapore. This is the kind of thing I mentioned in, The Importance of Management Improvement, where I mention people telling me the positive impact Dad had on their lives.

Related: Curious Cat Science and Engineering Blog - Statistics for Experimenters - Singapore Research Fellowship

September 25, 2007

Seven Fatal Flaws of Performance Measurement

The Seven Fatal Flaws of Performance Measurement by Joseph F. Castellano, Saul Young, and Harper A. Roehm

Performance measurement systems are used to establish specific goals, align employee behavior, and increase accountability. Organizations often use these systems to set targets for component units (e.g., individuals, profit centers, divisions, plants). Each unit is expected to develop its own goals consistent with overall targets. This process, sometimes called a “roll-up,” reflects the premise that if all units achieve their targets then the overall goals will be met. The methods used by most companies to establish these numerical targets often involve the use of stretch targets or benchmarking best practices.

Once the targets are established, most organizations measure the performance of component units by comparing targets to actual performance for certain time periods. Variances from expected results are noted and explanations are required. The popular business press trumpets the efficacy of the above approach, but this methodology has serious flaws. In fact, the design and use of performance measurement systems in most organizations suffer from a number of fatal flaws that can undermine an organization’s ability to use its measurement system to improve processes and make better decisions.

The proper role of measurements should be seen in the context of helping employees connect with the overall aim of the organization. Management must gather and analyze information that will help employees become better contributors to the firm’s purpose.

The articles does an excellent job of explaining the flaws in how performance measurement is applied (both in Management by Objective (MBO) and performance appraisals).

Related: Performance Without Appraisal - Jeffrey Pfeffer on Evidence-Based Practices - Problems Caused by Performance Appraisal - The Danger of Forgetting the Proxy Nature of Data

September 20, 2007

Search Share Data - Checking the ACSI

Last month, in a long post criticizing the ACSI I took issue with, among other things, the implications being drawn from an ACSI rating. The ACSI rating of Yahoo was higher than that of Google (though statistically insignificantly so). Anyway, here is some new data on search volumes of the leading providers:

Top 5 Search Providers for August 2007, Ranked by Searches (U.S.)

Provider Searches (000) Year over Year Growth Share of Searches
1. Google Search 4,199,495 39.8% 53.6%
2. Yahoo! Search 1,561,903 8.9% 19.9%
3. MSN/Windows Live Search 1,011,398 69.8% 12.9%
4. AOL Search 435,088 32.4% 5.6%
5. Ask.com Search 136,853 0.0% 1.7%

Source: Nielsen//NetRatings MegaView Search

So Google grew 39.8% year over year and Yahoo grew 8.9% year over year. Google now has 53.6% of the total searches. Granted this is limited data but it seems to confirm that Google is in fact continuing to increase their lead in search volume. Practically all evidence seems to support this belief - the ACSI seems to be the exception. Which might indicate great insight provided by the ACSI that everyone else is missing. Or it might show ACSI results are doing a poor job of providing a useful measure of customer satisfaction with search engines. I go with the second.

Related: posts on using data effectively - Website Data - Understanding Data - posts on Google management - Curious Cat Management Improvement Search

August 23, 2007

The Importance of Management Improvement

John and Bill Hunter

If organizations just adopt management improvement practices I firmly believe customer service, financial performance and employee satisfaction could be improved. This was a big part of the reason I started to use the internet to share management improvement ideas back in 1996 (plus I find management improvement interesting).

On the note of making a difference in people’s lives. I have had far more people tell me how my father (Bill Hunter) made a huge difference in their lives (far more than ever tell me anything like that). Now there is the sensible explanation, that he actually had a big impact on people’s lives (but you also have to figure most of those people never saw me so the chance for them to say anything didn’t exist…). I believe far more people told me (after he died) than ever told him, which says something about psychology in the USA, I think. But I don’t really know what people told him - so I could be wrong about that.

Anyway the point of this is that many people have told me their life was significantly changed by working with him on management improvement initiatives (mechanics talking about how he changed the workplace they had been in for years, people who saw that they could contribute more and changed careers, managers that realized how much damage they had done but now were on the right track…). There was obviously a great deal of emotion for many people. And it was largely about applying concepts like Deming’s management system, Toyota Management practices, statistics (yes even that)… and his ability to talk to everyone and make them comfortable (tons of people mentioned this - that this university professor would ask me questions and talk to me like a person, not talk down to me and be interested in my answers and…). As I continue through life I realize that this management improvement stuff really can matter if done right.

I have grown to enjoy maintaining the management improvement resources and other Curious Cat web sites but this is the reason I started and continued these efforts over the years. Today there is a great amount of useful management information online - but for years the pickings were quite slim.

Photo is of Dad and me a few years ago. Related: Quality in the Community: Madison, WI - Statistics for Experimenters - Doing More With Less in the Public Sector: A Progress Report from Madison, Wisconsin - Managing Our Way to Economic Success: Two Untapped Resources - Invest in new management methods not a failing company

June 19, 2007

Mistakes in Experimental Design and Interpretation

Mistakes in Experimental Design and Interpretation

Humans are very good at detecting patterns, but rather poor at detecting randomness. We expect random incidents of cancer to be spread homogeneously, when in fact true randomness results in random clusters, not homogeneity. It is a mistake for an experiment to consider a pool of 47,000 possibilities, and then only report on the 7 cases that seem interesting.

A proper experiment states its hypothesis before gathering evidence and then puts the hypothesis to the test. Remember when you did your seventh grade science fair experiment: you made up a hypothesis first (”Hamsters will get fatter from eating Lucky Charms than Wheaties”) and then did the experiment to confirm or refute the hypothesis. You can’t just make up a hypothesis after the fact to fit the data.

This is an excellent article discussing very common errors in how people use data. We have tendencies that lead us to draw faulty conclusions from data. Given that it is important to understand what common mistakes are made to help us counter the natural tendencies.

Related: Seeing Patterns Where None Exists - Illusions, Optical and Other - Understanding Data - Dangers of Forgetting the Proxy Nature of Data - How to Deal with False Research Findings - descriptive “theory” and normative theory

March 11, 2007

Jeffrey Pfeffer on Evidence-Based Practices

Jeffrey Pfeffer Testifies to Congress About Evidence-Based Practices:

In this short statement, I want to make five points as succinctly as possible, providing references for background and documentation for my arguments. First, organizations in both the public and private sector ought to base policies not on casual benchmarking, on ideology or belief, on what they have done in the past or what they are comfortable with doing, but instead should implement evidence-based management. Second, the mere prevalence or persistence of some management practice is not evidence that it works — there are numerous examples of widely diffused and quite persistent management practices, strongly advocated by practicing executives and consultants, where the systematic empirical evidence for their ineffectiveness is just overwhelming. Third, the idea that individual pay for performance will enhance organizational operations rests on a set of assumptions. Once those assumptions are spelled out and confronted with the evidence, it is clear that many — maybe all — do not hold in most organizations. Fourth, the evidence for the effectiveness of individual pay for performance is mixed, at best — not because pay systems don’t motivate behavior, but more frequently, because such systems effectively motivate the wrong behavior. And finally, the best way to encourage performance is to build a high performance culture. We know the components of such a system, and we ought to pay attention to this research and implement its findings.

Great stuff. Read the entire document. via: Bob Sutton’s Work Matters

Related: Evidence-based Management - Illusions - Optical and Other

Books: The Knowing-Doing Gap by Jeffrey Pfeffer and Robert Sutton - Hard Facts, Dangerous Half-Truths And Total Nonsense: Profiting From Evidence-Based Management by Jeffrey Pfeffer and Robert Sutton

January 20, 2007
September 2, 2006

Quality Technology and Innovation

The Future of Quality Technology: From a Manufacturing to a Knowledge Economy and From Defects to Innovations (pdf) by Soren Bisgaard:

we need to be good at both breakthrough and incremental innovation. Not either/or, but both! And this is where the quality profession comes in. Much of what quality technology is applied to can broadly be
characterized as incremental innovation.

This article does a good job of explaining why “quality/lean…” should not be viewed as just process improvement, and innovation as something separate. I agree, as discussed in: Quality and Innovation. Many quality and lean tools are focused on process improvement. But those tools are part of a system that requires customer focused innovation (including breakthrough innovation).

Also in this issue of the ASQ statistics division newsletter, is the acceptance speech by the most recent Hunter Award (named for my father) winner: Douglas M. Hawkins.

Related: Curious Cat Management Improvement Library - Soren Bisgaard 2002 Hunter Award speech - more articles by Soren Bisgaard - Deming on Innovation - Better and Different - Innovation at Toyota - Six Keys to Building New Markets by Unleashing Disruptive Innovation - Global Manufacturing Data by Country - Manufacturing Jobs Data: USA and China

July 13, 2006

The Exciting Life of Industrial Statisticians

Never a Dull Day: The Life of an Industrial Statistician by Gerry Hahn.

Gerry Hahn was one of the great applied statisticians of the last 50 years, working at GE for over 45 years. Six sigma has many variants, he is one of those that understood how to apply six sigma well.

All of this provides great new opportunities for industrial statisticians to serve as statistical leaders-a term popularized by the late and great Ed Deming (see Hahn and Hoerl (1998). Statistical leaders engage principally in leveraging statistical concepts and thinking (see Hoerl, Hooper, Jacobs and Lucas (1993), and focus their activities on mentoring and supporting the most business-vital and technically challenging problems dealing with getting the right data, and converting such data into actionable information.

In 1991 Dr. Hahn received the Hunter Award from the ASQ Statistics Division (the award is named for my father - John).

May 9, 2006

Understanding Data

Topic: Management Improvement

Statistics Abuse and Me by Jay Mathews:

the Simpson’s Paradox numbers. The national average for the SAT went up only 4 points between 1981 and 2005, but the average for whites went up 10 points, for blacks 21 points, for Asians 37 points, for Mexicans 15 points, for Puerto Ricans 23 points and for American Indians 18 points.

How can that be? Is it important? First, yes it is important. Effective use of data is an important part of management improvement. Emphasis the effective, not the data. Use of data by itself is not sufficient.

To be effective you need to learn to think about not what is printed on the page but what lies behind the numbers you see. The numbers are just proxies for the real situation. Look beyond the numbers you see to what they mean and understand how the numbers presented may not fully capture the important details you need to consider. (more…)

May 8, 2006

Six Sigma and Process Drift

Quality Quandaries: Six Sigma, Process Drift, Capability Indices, and Feedback Adjustment by George Box and Alberto Luceno. This article is for the more statistically inclined.

The Six Sigma specification makes an allowance of 1.5 standard deviations for process drift. Simple ways in which a major part of such drift can be removed are given. These employ feedback adjustment methods specifically designed for SPC applications. (more…)

April 23, 2006

Using Design of Experiments as a Process Road Map

Using Design of Experiments as a Process Road Map by Davis Balestracci:

The current design of experiments (DOE) renaissance seems to favor factorial designs and/or orthogonal arrays as a panacea. In my 25 years as a statistician, my clients have always found much more value in obtaining a process “road map” by generating the inherent response surface in a situation. It’s hardly an advanced technique, but it leads to much more effective optimization and process control.

DOE is a tool that is very useful. And while the situations in which DOE is the best tool to use is limited the limited use of DOE is used less than it could be. See more articles on the use of design of Experiments (DOE).

December 24, 2005

Quality, SPC and Your Career

Lead To Succeed (pdf document) by Stephen S. Prevette:

* Succeed as a quality professional by branding yourself and providing a service or product your manager and organization deem worth paying for.
* Lead your manager “your customers” by providing the data they need in a form they can understand.

This is a great article on how to apply quality (Deming, Statistical Process Control, Six Sigma, Lean Manufacturing) ideas and move forward professionally; even when those ideas are not always shared by the organization.
(more…)

October 11, 2005

Box on Quality

Bill Hunter and George Box

Dr. George Box is not as well known in the general management community as his ideas merit (in my biased opinion - photo of Bill Hunter and George Box). He is well know in the statistics field as one of the leading statistical minds. Box on Quality is an excellent book that gathers his essays from his 65th to 80th year. The book has just been issued in paperback (which helps as the hardback was pricey).

While some of the essays are aimed at a reader with an advanced understanding of statistics, many of the articles are aimed at any manager attempting to apply Quality Management principles (SPC, Deming, process improvement, six sigma, etc.). An except from the book provides a table of contents and an introduction.

Some of the articles from the book are available online. I encourage you to take a look at several of the articles and then go ahead and add this book to your prized management resources, if you find them worthwhile.

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