I invite you to join as a member of the PEX Network Group http://tinyurl.com/3hwakem, you will have access to Key Leaders Globally, Events, Webinars, Presentations, Articles, Case Studies, Blog Discussions, White Papers, and Tools and Templates. To access this free content please take 2 minutes for a 1 time FREE registration at http://tiny.cc/tpkd0
Process Excellence Network: A division of IQPC, (formerly known as Six Sigma IQ) provides access to a treasure chest of relevant content for Process Excellence practitioners.
Providing critical knowledge on the development of Process Excellence including Business Process Management (BPM), Lean, Change Management, Operational Excellence, Six Sigma, Risk Management, Customer Experience and more, we provide the forum where key industry experts and organizations share their experience, knowledge and tools, and your practitioner peers connect with one another all over the world, both face-to-face and online.
The Process Excellence Network is enhanced by an active online community of your professional peers, as well and face-to-face Summits and events that take place across the globe. Collectively we help you discover what the best are doing to get measurable results through Process Excellence and to seek actionable solutions to specific process problems through worldwide mass collaboration.
None of us has the time for continuous trial and error learning. We must learn more and more from the experiences of others. Learning is nothing more than thinking with other people's ideas. We bring you the best ideas in a variety of media forms from outstanding academics and practicing professionals.
In short, Process Excellence Network, (often known as PEX Network) enables you to advance your own process excellence journey by increasing your idea sources, widening your contacts and friendships and participating in ongoing formal and informal learning opportunities.
In Summary:
Process Excellence Network is uniquely positioned to provide a comprehensive library of both online and face-to-face content, including first-rate columns, articles, webinars, podcasts, video presentations, and of course globally renown industry events. Through every medium we strive to make your learning an exciting, dynamic, interactive experience.
We are constantly striving to improve our content delivery methodologies. In 2011 we will be introducing many new ways for you to learn. Stay updated. The best is yet to come.
Become a Process Excellence Network member today and you'll have continuous exposure to new and timeless tools, techniques, and technologies to extend your performance capacity and your organization's productivity.
We also invite you to visit e-Zsigma for Lean Six Sigma Training and certification.
e-Zsigma is Canada's leader in strategic Lean, Six Sigma and innovation deployment, project management, consulting and change leadership. http://www.e-zsigma.com
The document provides information about certification programs offered by e-Zsigma, including Lean, Six Sigma, and Lean Six Sigma. It highlights testimonials from past students about the benefits and impact of the programs. The dates and pricing are listed for upcoming certification programs in Lean, Six Sigma, and their combination in the fall of 2012.
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Pc Shipping Improvement Six Sigma Case StudyKevin Egan
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
The document provides information about certification programs offered by e-Zsigma, including Lean, Six Sigma, and Lean Six Sigma. It highlights testimonials from past students about the benefits and impact of the programs. The dates and pricing are listed for upcoming certification programs in Lean, Six Sigma, and their combination in the fall of 2012.
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Pc Shipping Improvement Six Sigma Case StudyKevin Egan
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
The pharmaceutical company was experiencing a 40% error rate in ticket logging into their help desk, costing 80 person-hours per month to correct. Measurement found the existing sigma level was 0.5, with a 31% defect rate. Root causes were identified as a lack of operational definitions, inconsistent interpretation between agents, and too many options for classifying tickets. Improvements such as correcting databases, reducing classification options, and clarifying definitions increased the sigma level to 2.8 and reduced defects by 69%, saving the company over $26,000 annually by reducing correction time.
I invite you to join as a member of the PEX Network Group http://tinyurl.com/3hwakem, you will have access to Key Leaders Globally, Events, Webinars, Presentations, Articles, Case Studies, Blog Discussions, White Papers, and Tools and Templates. To access this free content please take 2 minutes for a 1 time FREE registration at http://tiny.cc/tpkd0
Process Excellence Network: A division of IQPC, (formerly known as Six Sigma IQ) provides access to a treasure chest of relevant content for Process Excellence practitioners.
Providing critical knowledge on the development of Process Excellence including Business Process Management (BPM), Lean, Change Management, Operational Excellence, Six Sigma, Risk Management, Customer Experience and more, we provide the forum where key industry experts and organizations share their experience, knowledge and tools, and your practitioner peers connect with one another all over the world, both face-to-face and online.
The Process Excellence Network is enhanced by an active online community of your professional peers, as well and face-to-face Summits and events that take place across the globe. Collectively we help you discover what the best are doing to get measurable results through Process Excellence and to seek actionable solutions to specific process problems through worldwide mass collaboration.
None of us has the time for continuous trial and error learning. We must learn more and more from the experiences of others. Learning is nothing more than thinking with other people's ideas. We bring you the best ideas in a variety of media forms from outstanding academics and practicing professionals.
In short, Process Excellence Network, (often known as PEX Network) enables you to advance your own process excellence journey by increasing your idea sources, widening your contacts and friendships and participating in ongoing formal and informal learning opportunities.
In Summary:
Process Excellence Network is uniquely positioned to provide a comprehensive library of both online and face-to-face content, including first-rate columns, articles, webinars, podcasts, video presentations, and of course globally renown industry events. Through every medium we strive to make your learning an exciting, dynamic, interactive experience.
We are constantly striving to improve our content delivery methodologies. In 2011 we will be introducing many new ways for you to learn. Stay updated. The best is yet to come.
Become a Process Excellence Network member today and you'll have continuous exposure to new and timeless tools, techniques, and technologies to extend your performance capacity and your organization's productivity.
We also invite you to visit e-Zsigma for Lean Six Sigma Training and certification.
e-Zsigma is Canada's leader in strategic Lean, Six Sigma and innovation deployment, project management, consulting and change leadership. http://www.e-zsigma.com
I invite you to join as a member of the PEX Network Group http://tinyurl.com/3hwakem, you will have access to Key Leaders Globally, Events, Webinars, Presentations, Articles, Case Studies, Blog Discussions, White Papers, and Tools and Templates. To access this free content please take 2 minutes for a 1 time FREE registration at http://tiny.cc/tpkd0
This document provides an overview of Lean Six Sigma training, coaching, certification, deployment planning, and consulting offerings. It describes various Lean Six Sigma courses at different belt levels (White, Yellow, Green, Black, Master Black), as well as offerings for sponsors, deployment champions, executives, and kaizen practitioners. For each course it provides the training overview, objectives, pricing, and additional details. It also describes options for mentoring, coaching, and certification support.
Explore Treydora's VR economy, where users can trade virtual assets, earn rewards, and build digital wealth within immersive game environments. Learn more!
HD Video Player All Format - 4k & live streamHD Video Player
Discover the best video playback experience with HD Video Player. Our powerful, user-friendly app supports all popular video formats and codecs, ensuring seamless playback of your favorite videos in stunning HD and 4K quality. Whether you're watching movies, TV shows, or personal videos, HD Video Player provides the ultimate viewing experience on your device. 🚀
Sara Saffari: Turning Underweight into Fitness Success at 23get joys
Uncover the remarkable journey of Sara Saffari, whose transformation from underweight struggles to being recognized as a fitness icon at 23 underscores the importance of perseverance, discipline, and embracing a healthy lifestyle.
SERV is the ideal spot for savory food, refreshing beverages, and exciting entertainment. Each visit promises an unforgettable experience with daily promotions, live music, and engaging games such as pickleball. Offering five distinct food concepts inspired by popular street food, as well as coffee and dessert options, there's something to satisfy every taste. For more information visit our website: https://servfun.com/
Morgan Freeman is Jimi Hendrix: Unveiling the Intriguing Hypothesisgreendigital
In celebrity mysteries and urban legends. Few narratives capture the imagination as the hypothesis that Morgan Freeman is Jimi Hendrix. This fascinating theory posits that the iconic actor and the legendary guitarist are, in fact, the same person. While this might seem like a far-fetched notion at first glance. a deeper exploration reveals a rich tapestry of coincidences, speculative connections. and a surprising alignment of life events fueling this captivating hypothesis.
Follow us on: Pinterest
Introduction to the Hypothesis: Morgan Freeman is Jimi Hendrix
The idea that Morgan Freeman is Jimi Hendrix stems from a mix of historical anomalies, physical resemblances. and a penchant for myth-making that surrounds celebrities. While Jimi Hendrix's official death in 1970 is well-documented. some theorists suggest that Hendrix did not die but instead reinvented himself as Morgan Freeman. a man who would become one of Hollywood's most revered actors. This article aims to delve into the various aspects of this hypothesis. examining its origins, the supporting arguments. and the cultural impact of such a theory.
The Genesis of the Theory
Early Life Parallels
The hypothesis that Morgan Freeman is Jimi Hendrix begins by comparing their early lives. Jimi Hendrix, born Johnny Allen Hendrix in Seattle, Washington, on November 27, 1942. and Morgan Freeman, born on June 1, 1937, in Memphis, Tennessee, have lived very different lives. But, proponents of the theory suggest that the five-year age difference is negligible and point to Freeman's late start in his acting career as evidence of a life lived before under a different identity.
The Disappearance and Reappearance
Jimi Hendrix's death in 1970 at the age of 27 is a well-documented event. But, theorists argue that Hendrix's death staged. and he reemerged as Morgan Freeman. They highlight Freeman's rise to prominence in the early 1970s. coinciding with Hendrix's supposed death. Freeman's first significant acting role came in 1971 on the children's television show "The Electric Company," a mere year after Hendrix's passing.
Physical Resemblances
Facial Structure and Features
One of the most compelling arguments for the hypothesis that Morgan Freeman is Jimi Hendrix lies in the physical resemblance between the two men. Analyzing photographs, proponents point out similarities in facial structure. particularly the cheekbones and jawline. Both men have a distinctive gap between their front teeth. which is rare and often highlighted as a critical point of similarity.
Voice and Mannerisms
Supporters of the theory also draw attention to the similarities in their voices. Jimi Hendrix known for his smooth, distinctive speaking voice. which, according to some, resembles Morgan Freeman's iconic, deep, and soothing voice. Additionally, both men share certain mannerisms. such as their calm demeanor and eloquent speech patterns.
Artistic Parallels
Musical and Acting Talents
Jimi Hendrix was regarded as one of t
You know you're an adult when every check-up gets you down. View What Going to the Doctor is Like as an Adult and more funny posts on salty vixen stories & more-saltyvixenstories.com
Lean Six Sigma Group Free Project Case Study Overviews http://www.linkedin.com/groups/Lean-Six-Sigma-37987
Sponsored by the International Standard for Lean Six Sigma, e-Zsigma http://www.e-zsigma.com, IQPC, and PEX Network.
Please contact Lean Six Sigma Master Black Belt, Steven Bonacorsi, Owner of the Lean Six Sigma Group to have your project case studies to be added to the Lean Six Sigma Group Library. Steve Bonacorsi sbonacorsi@comcast.net
The pharmaceutical company was experiencing a 40% error rate in ticket logging into their help desk, costing 80 person-hours per month to correct. Measurement found the existing sigma level was 0.5, with a 31% defect rate. Root causes were identified as a lack of operational definitions, inconsistent interpretation between agents, and too many options for classifying tickets. Improvements such as correcting databases, reducing classification options, and clarifying definitions increased the sigma level to 2.8 and reduced defects by 69%, saving the company over $26,000 annually by reducing correction time.
I invite you to join as a member of the PEX Network Group http://tinyurl.com/3hwakem, you will have access to Key Leaders Globally, Events, Webinars, Presentations, Articles, Case Studies, Blog Discussions, White Papers, and Tools and Templates. To access this free content please take 2 minutes for a 1 time FREE registration at http://tiny.cc/tpkd0
Process Excellence Network: A division of IQPC, (formerly known as Six Sigma IQ) provides access to a treasure chest of relevant content for Process Excellence practitioners.
Providing critical knowledge on the development of Process Excellence including Business Process Management (BPM), Lean, Change Management, Operational Excellence, Six Sigma, Risk Management, Customer Experience and more, we provide the forum where key industry experts and organizations share their experience, knowledge and tools, and your practitioner peers connect with one another all over the world, both face-to-face and online.
The Process Excellence Network is enhanced by an active online community of your professional peers, as well and face-to-face Summits and events that take place across the globe. Collectively we help you discover what the best are doing to get measurable results through Process Excellence and to seek actionable solutions to specific process problems through worldwide mass collaboration.
None of us has the time for continuous trial and error learning. We must learn more and more from the experiences of others. Learning is nothing more than thinking with other people's ideas. We bring you the best ideas in a variety of media forms from outstanding academics and practicing professionals.
In short, Process Excellence Network, (often known as PEX Network) enables you to advance your own process excellence journey by increasing your idea sources, widening your contacts and friendships and participating in ongoing formal and informal learning opportunities.
In Summary:
Process Excellence Network is uniquely positioned to provide a comprehensive library of both online and face-to-face content, including first-rate columns, articles, webinars, podcasts, video presentations, and of course globally renown industry events. Through every medium we strive to make your learning an exciting, dynamic, interactive experience.
We are constantly striving to improve our content delivery methodologies. In 2011 we will be introducing many new ways for you to learn. Stay updated. The best is yet to come.
Become a Process Excellence Network member today and you'll have continuous exposure to new and timeless tools, techniques, and technologies to extend your performance capacity and your organization's productivity.
We also invite you to visit e-Zsigma for Lean Six Sigma Training and certification.
e-Zsigma is Canada's leader in strategic Lean, Six Sigma and innovation deployment, project management, consulting and change leadership. http://www.e-zsigma.com
I invite you to join as a member of the PEX Network Group http://tinyurl.com/3hwakem, you will have access to Key Leaders Globally, Events, Webinars, Presentations, Articles, Case Studies, Blog Discussions, White Papers, and Tools and Templates. To access this free content please take 2 minutes for a 1 time FREE registration at http://tiny.cc/tpkd0
This document provides an overview of Lean Six Sigma training, coaching, certification, deployment planning, and consulting offerings. It describes various Lean Six Sigma courses at different belt levels (White, Yellow, Green, Black, Master Black), as well as offerings for sponsors, deployment champions, executives, and kaizen practitioners. For each course it provides the training overview, objectives, pricing, and additional details. It also describes options for mentoring, coaching, and certification support.
Explore Treydora's VR economy, where users can trade virtual assets, earn rewards, and build digital wealth within immersive game environments. Learn more!
HD Video Player All Format - 4k & live streamHD Video Player
Discover the best video playback experience with HD Video Player. Our powerful, user-friendly app supports all popular video formats and codecs, ensuring seamless playback of your favorite videos in stunning HD and 4K quality. Whether you're watching movies, TV shows, or personal videos, HD Video Player provides the ultimate viewing experience on your device. 🚀
Sara Saffari: Turning Underweight into Fitness Success at 23get joys
Uncover the remarkable journey of Sara Saffari, whose transformation from underweight struggles to being recognized as a fitness icon at 23 underscores the importance of perseverance, discipline, and embracing a healthy lifestyle.
SERV is the ideal spot for savory food, refreshing beverages, and exciting entertainment. Each visit promises an unforgettable experience with daily promotions, live music, and engaging games such as pickleball. Offering five distinct food concepts inspired by popular street food, as well as coffee and dessert options, there's something to satisfy every taste. For more information visit our website: https://servfun.com/
Morgan Freeman is Jimi Hendrix: Unveiling the Intriguing Hypothesisgreendigital
In celebrity mysteries and urban legends. Few narratives capture the imagination as the hypothesis that Morgan Freeman is Jimi Hendrix. This fascinating theory posits that the iconic actor and the legendary guitarist are, in fact, the same person. While this might seem like a far-fetched notion at first glance. a deeper exploration reveals a rich tapestry of coincidences, speculative connections. and a surprising alignment of life events fueling this captivating hypothesis.
Follow us on: Pinterest
Introduction to the Hypothesis: Morgan Freeman is Jimi Hendrix
The idea that Morgan Freeman is Jimi Hendrix stems from a mix of historical anomalies, physical resemblances. and a penchant for myth-making that surrounds celebrities. While Jimi Hendrix's official death in 1970 is well-documented. some theorists suggest that Hendrix did not die but instead reinvented himself as Morgan Freeman. a man who would become one of Hollywood's most revered actors. This article aims to delve into the various aspects of this hypothesis. examining its origins, the supporting arguments. and the cultural impact of such a theory.
The Genesis of the Theory
Early Life Parallels
The hypothesis that Morgan Freeman is Jimi Hendrix begins by comparing their early lives. Jimi Hendrix, born Johnny Allen Hendrix in Seattle, Washington, on November 27, 1942. and Morgan Freeman, born on June 1, 1937, in Memphis, Tennessee, have lived very different lives. But, proponents of the theory suggest that the five-year age difference is negligible and point to Freeman's late start in his acting career as evidence of a life lived before under a different identity.
The Disappearance and Reappearance
Jimi Hendrix's death in 1970 at the age of 27 is a well-documented event. But, theorists argue that Hendrix's death staged. and he reemerged as Morgan Freeman. They highlight Freeman's rise to prominence in the early 1970s. coinciding with Hendrix's supposed death. Freeman's first significant acting role came in 1971 on the children's television show "The Electric Company," a mere year after Hendrix's passing.
Physical Resemblances
Facial Structure and Features
One of the most compelling arguments for the hypothesis that Morgan Freeman is Jimi Hendrix lies in the physical resemblance between the two men. Analyzing photographs, proponents point out similarities in facial structure. particularly the cheekbones and jawline. Both men have a distinctive gap between their front teeth. which is rare and often highlighted as a critical point of similarity.
Voice and Mannerisms
Supporters of the theory also draw attention to the similarities in their voices. Jimi Hendrix known for his smooth, distinctive speaking voice. which, according to some, resembles Morgan Freeman's iconic, deep, and soothing voice. Additionally, both men share certain mannerisms. such as their calm demeanor and eloquent speech patterns.
Artistic Parallels
Musical and Acting Talents
Jimi Hendrix was regarded as one of t
You know you're an adult when every check-up gets you down. View What Going to the Doctor is Like as an Adult and more funny posts on salty vixen stories & more-saltyvixenstories.com
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Enhance Your Viewing Experience with Gold IPTV- Tips and Tricks for 2024.pdfXtreame HDTV
In the ever-evolving landscape of digital entertainment, IPTV (Internet Protocol Television) has emerged as a popular alternative to traditional cable and satellite TV services. Offering unparalleled flexibility, a vast selection of channels, and affordability, IPTV services like Gold IPTV have revolutionized the way we consume television content. This comprehensive guide will delve into everything you need to know about Gold IPTV, its features, benefits, setup process, and how it can enhance your viewing experience.
Enhance Your Viewing Experience with Gold IPTV- Tips and Tricks for 2024.pdf
Box plots
1. Box Plots
Box-and-whisker diagrams, or Box Plots, use the concept of breaking a data set into fourths,
or quartiles, to create a display. The box part of the diagram is based on the middle (the
second and third quartiles) of the data set. The whiskers are lines that extend from either
side of the box. The maximum length of the whiskers is calculated based on the length of the
box. The actual length of each whisker is determined after considering the data points in the
first and the fourth quartiles.
2. Although box-and-whisker diagrams present less information than histograms or dot plots,
they do say a lot about distribution, location and spread of the represented data. They are
particularly valuable because several box plots can be placed next to each other in a single
diagram for easy comparison of multiple data sets.
What can it do for you?
If your improvement project involves a relatively limited amount of individual quantitative
data, a box-and-whisker diagram can give you an instant picture of the shape of variation in
your process. Often this can provide an immediate insight into the search strategies you
could use to find the cause of that variation.
Box-and-whisker diagrams are especially valuable to compare the output of two processes
creating the same characteristic or to track improvement in a single process. They can be
used throughout the phases of the Lean Six Sigma methodology, but you will find box-and-
whisker diagrams particularly useful in the analyze phase.
How do you do it?
1. Decide which Critical-To-Quality (CTQ) characteristic you wish to examine. This CTQ
must be measurable on a linear scale. That is, the incremental value between units of
measurement must be the same. For
example, time, temperature, dimension Order Value Boundary
and spatial relationships can usually be 1 27.75
measured in consistent incremental 2 37.35
units. 3 38.35
2. Measure the characteristic and record 4 38.35
the results. If the characteristic is 5 38.75
continually being produced, such as Second Quartile 39.250
voltage in a line or temperature in an 6 39.75
oven, or if there are too many items 7 40.50
being produced to measure all of them,
8 41.00
you will have to sample. Take care to
9 41.15
ensure that your sampling is random.
10 42.55
3. Count the number of individual data Third Quartile 42.725
points.
11 42.90
4. List the data points in ascending order. 12 43.60
5. Find the median value. If there are an 13 43.85
odd number of data points, the median 14 47.30
is the data point that is halfway between 15 47.90
the largest and the smallest ones. (For Fourth Quartile 48.025
example, if there are 35 data points, the 16 48.15
median value is the value of the 18th 17 49.86
data point from either the top or the
18 51.25
bottom of the list.) If there is an even
19 51.50
number of points, the median is halfway
20 56.00
between the two points that occupy the
centermost position. (If there were 36 Data Table divided into quartiles
3. points, the median would be halfway between point 18 and point 19. To find the median
value, add the values of points 18 and 19, and divide the result by 2.) If you think of the
list of data points being divided into quarters (quartiles), the median is the boundary
between the second and the third quartile.
6. The next step is to find the boundaries between the first and second and the third and
fourth quartiles. The first quartile boundary is halfway between the last data point in the
first quartile and the first data point in the second quartile. (If one data point is on the
median, that data point is considered to be the last point in the second quartile and the
first point in the third quartile.) In a similar way, find the third quartile boundary, the
halfway point between the last value in the third quartile and the first value in the fourth
quartile.
7. Draw and label a scale line with values. The value of the scale should begin lower than
your lowest value and extend higher than your highest value. The scale line may be either
vertical or horizontal.
8. Using the scale as a guideline, create a box above or to the right of the scale. One end of
the box will be the first quartile boundary; the other will be the third quartile boundary.
(The width of the box is somewhat arbitrary. Boxes tend to be long and thin. As an option,
if you have multiple data sets with different numbers of data points in each set, make the
width of the boxes so that they correspond roughly with the relative quantity of data
represented in each box.)
9. Draw a line through the box to represent the median (second quartile boundary).
10. The next step is to draw the whiskers on the ends of the box. Find the inter-quartile range
(IQR) by subtracting the value of the first quartile boundary from that of the third quartile
boundary.
a. Smallest data point is bigger than or equal to Q1 -1.5 IQR
b. Largest data point is less than or equal to Q3 +1.5 IQR
c. Any points not in the interval [Q1-1.5 IQR; Q3+1.5 IQR] are plotted separately.
4. 11. Multiply the IQR by 1.5. (The use of 1.5 as a multiplier is a convention that has no exact
statistical basis. Multiplying by this constant helps take into consideration the fact that the
first and fourth quartiles will naturally have a somewhat wider dispersion than the second
and third quartiles.)
12. Subtract the value of 1.5(IQR) from the value of the first quartile boundary. Find the
smallest data point in your list that is equal to or larger than this value. Make a tick mark
representing this data point to the left of your box (or above, if you used a vertical scale).
Draw a line, the first whisker, from the side of the box to the tick mark.
13. Add the value of 1.5 (IQR) to the value of the third quartile boundary. Find the largest data
point in your list that is equal to or smaller than this value. Make a tick mark representing
this data point to the right of your box (or below, if you used a vertical scale). Draw
another whisker to this tick mark.
14. It is possible that some data points in your list will lie outside of the ends of the whiskers
you determined in steps 12 and 13. These points are called outliers. Plot any outliers as
dots beyond the whiskers.
[Note: steps 3 through 14 happen automatically if you use Excel, Minitab, or JMP to create
your box-and-whisker diagram. If you are familiar with these software packages, their use
can greatly simplify the process of making effective box-and-whisker diagrams.]
15. Title and label your box-and-whisker diagram.
5. Now what?
The shape that your box-
and-whisker diagram takes
tells a lot about your
process.
One way to help you
interpret box plots is to
imagine that the way a
data set looks as a
histogram is something
like a mountain viewed
from ground level and a
box-and-whisker diagram
is something like a contour
map of that mountain as
viewed from above.
In a Skewed histogram and box plot compared
The second-quartile box is
considerably larger than
the third-quartile box, and
the whisker associated with
the first quartile extends
almost to the end of the 1.5
Skewed histogram IQR limit. An outlier beyond
and box plot the 1.5 IQR limit of the
whisker further emphasizes
compared the fact that the data is
strongly skewed in this
direction. On the other side
of the distribution, the
whisker associated with the
fourth quartile is well within
the 1.5 IQR. In fact, the
fourth-quartile whisker is
shorter than the third-
quartile box.
A histogram of this data would show a strongly skewed distribution verging on a precipice
that fell off at the high end of the values. This kind of data set often occurs when there is a
natural limit at one end of the distribution or a 100% screening is done for one specification
limit.
6. Although box-and-whisker diagrams can be oriented horizontally, they are more often
displayed vertically, with lower values at the bottom of the scale.
The next example is what a normal distribution might look like as a box plot.
The second- and third-
quartile boxes are
approximately the same
size. The whiskers are
similar to each other in
Normal length and extend close to
distribution curve the 1.5 IQR limit.
and box plot If the data set were actually
compared a combination of two
different distributions, for
example, material from two
suppliers or two machines,
it might form a histogram
that looked like a plateau or
a mountain with twin
peaks.
The box plot would show
an even distribution, but
would have relatively large
boxes and relatively short
whiskers.
If there were a small
amount of data from a
Plateau histogram different distribution
and box plot included in the data set, for
compared example, if there were a
short-term process
abnormality or a data
collection error, the
histogram formed would
look like a mountain with a
small isolated peak.
7. The box plot for that data
set would look like one for
a normal distribution but
with a number of outliers
beyond one whisker.
Isolated peak
histogram and
box plot
compared
Some final tips
A box-and-whisker
diagram is an easy way
to compare processes
or to chart the
improvement process
in one process.
Box-and-whisker
diagrams can quickly
give you a comparative
feel of the distribution
of sets of data. They
show the distributional
spread through the
length of the box and
the whiskers.
8. Some idea of the symmetry of the
distribution can also be gained by
comparing the two segments of the box
and the relative lengths of the whiskers.
The existence and displacement of
outliers gives some indication of the
level of control in the process.
Two or more box-and-whisker diagrams
drawn side by side to the same scale
are an effective way to compare
samples in a way that is compact and
uncluttered. Many box plots can be
added to a diagram without creating
visual overload.
Not only can box-and-whisker diagrams
help you see which processes need
improvement, by comparing initial box-
and-whisker diagrams with subsequent
ones, they can also help you track that
improvement. If specification limits or
improvement targets are involved in
your process, they can be added to the
diagram to help visualize progress.
Steven Bonacorsi is the President of the International Standard for Lean Six
Sigma (ISLSS) and Certified Lean Six Sigma Master Black Belt instructor and
coach. Steven Bonacorsi has trained hundreds of Master Black Belts, Black
Belts, Green Belts, and Project Sponsors and Executive Leaders in Lean Six
Sigma DMAIC and Design for Lean Six Sigma process improvement
methodologies.
Author for the Process Excellence Network (PEX
Network / IQPC). FREE Lean Six Sigma and BPM
content
International Standard for Lean Six Sigma
Steven Bonacorsi, President and Lean Six Sigma Master Black Belt
47 Seasons Lane, Londonderry, NH 03053, USA
Phone: + (1) 603-401-7047
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