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This is an advanced level program that requires successful completion of our Black Belt Certification Program and several project requirements. For those seeking this achievement, please refer to the bottom of our Black Belt Certification page.


It aims to provide you with a basic definition, history, and structure of the discipline. It also provides a solid understanding of who is involved in the actual implementation within an organization. Our courses are an independent, textbook-based structure. Generally speaking, you will read the required sections and are tested for proficiency. Additionally, there are some videos available within the program. These videos are not required to pass the exams, however they do promote a more thorough learning experience.


The exams are multiple choice approx. The exams are available to be taken online 24 hours a day, 7 days a week. They are both open-book and non-timed. Six Sigma White Belt is the most basic level of certification that teaches very basic concepts of Six Sigma. White Belts will learn how Six Sigma teams function within an organization and some of the troubles that are often encountered.


Each exam is approximately questions. Once the program is started, you will have 1 year to successfully complete the requirements. Course extensions are available before the deadline upon request from Customer Care free of charge.


Six Sigma White Belt training is an ideal primer for those simply looking to understand what Six Sigma is. However, since a White Belt serves as the most basic form of training, certified individuals are still not eligible to participate in Six Sigma projects within an organization. White Belt Certification Requirements:. Here are just a few reasons why many prospective training candidates who have performed their due-diligence have chosen to trust us with their educational needs.


Not only is our organization accredited by The Council for Six Sigma Certification the largest industry accreditation provider to colleges, universities, and private training organizations worldwide , but we also share some of the same original founders.


This speaks volumes to our heritage and our underlying commitment to quality education and consumer value. Many providers come and go, but we have remained a trusted industry pioneer. Six Sigma Online was among the very first to offer online-based Six Sigma training and certification. Over , certified graduates from the Americas to Asia to the Middle East have trusted our accredited programs to enhance their careers. Unlike many Six Sigma Certification providers, we never put an expiration date on your certification.


Many providers require renewals not so much to benefit their certified students, but instead to increase their own revenues. This can be extremely lucrative for them as they force you to pay extra exorbitant costs over the course of your entire career.


Even worse, these costs are often hidden the details of the expiration in fine print. It is not uncommon for a student to be shocked with this information only AFTER they have earned their achievement and see their final certificate. Think about it… does a college degree come with an expiration date? Neither should your Six Sigma Certification. Rest assured that our training is well recognized in the business community and we take the needs of employers very seriously.


Many other training providers certify their students without a serious attempt of teaching thorough and lasting fundamentals of Six Sigma business methodologies.


For example, time per step a process measure adds up to process lead time an output measure. Input measures The other type of X variables in data. Measures quality, speed and cost performance of information or items coming into the process. Usually, input measures will focus on effectiveness does the input meet the needs of the process? That increases the odds it will get done regularly and correctly. Have collectors practice using the data collection form and applying operational definitions.


Resolve any conflicts or differences in use. Collect VOC data see Chapter 4 to identify critical-to-quality requirements. List down the side of a matrix. Work through the matrix and discuss as a team what relationship a particular measure has to the corresponding requirement: strong, moderate, weak, or no relationship. Review the final matrix. Develop plans for collecting data on the measures that are most strongly linked to the requirements. Stratification factors Highlights Purpose is to collect descriptive information that will help you identify important patterns in the data about root causes, patterns of use, etc.


The method described here uses a modified tree diagram shown above to provide more structure to the process. Identify an Output measure Y , and enter it in the center point of the tree diagram. List the key questions you have about that output. Identify descriptive characteristics the stratification factors that define different subgroups of data you suspect may be relevant to your questions.


Create specific measurements for each subgroup or stratification factor. Review each of the measurements include the Y measure and determine whether or not current data exists. Discuss with the team whether or not current measurements will help to predict the output Y. If not, think of where to apply measurement systems so that they will help you to predict Y. As a team, discuss the data you want to collect. Strive for a common understanding of the goal for collecting that data.


Precisely describe the data collection procedure. When a customer gets in line? When he or she steps up to a teller? Ex: If measuring the length of an item, how can you make sure that every data collector will put the ruler or caliper in the same position on the item? Specifically how are these forms or instruments to be used? In what units? Test the operational definition first with people involved in Step 2 above and then again with people not involved in the procedure, and compare results.


Does everyone from both groups get the same result when counting or measuring the same things? Refine the measurement description as needed until you get consistent results. Cautions on using existing data Using existing data lets you take advantage of archived data or current measures to learn about the output, process or input. Collecting new data means recording new observations it may involve looking at an existing metric but with new operational definitions.


Existing data is best used to establish historical patterns and to supplement new data. Select specific data and factors to be included 2. At each process step, the operator enters the appropriate data.


The trade-off is faster data collection because you only have to sample vs. No time element. Ex: Customers, complaints, items in warehouse Process — Sampling from a changing flow of items moving through the business. Has a time element. In contrast, quality and business process improvement tends to focus more often on processes, where change is a constant.


Process sampling techniques are also the foundation of process monitoring and control. Sampling terms Sampling event — The act of extracting items from the population or process to measure. Subgroup — The number of consecutive units extracted for measurement in each sampling event.


Sampling Frequency — The number of times a day or week a sample is taken Ex: twice per day, once per week. Applies only to process sampling. Ex: collecting VOC data from people you know, or when you go for coffee.


Use a random number table or random function in Excel or other software, or draw numbers from a hat that will tell you which items from the population to select. The risk of bias comes when the selection of the sample matches a pattern in the process. To sample from a stable process… 1. Who will do it? Determine the minimum sample size see p. Making inferences about a population based on a sample of an unstable process is ill-advised.


Establish stability before making inferences. For additional details refer to Minitab Help. NOTE: Having uncalibrated measurement devices can affect all of these factors. Calibration is not covered in this book since it varies considerably depending on the device. Be sure to follow established procedures to calibrate any devices used in data collection. Be sure to represent the entire range of process variation.


Good and Bad over the entire specification plus slightly out of spec on both the high and low sides. Select 2 or 3 operators to participate in the study. Identify 5 to 10 items to be measured. Have each operator measure each item 2 to 3 times in random sequence. Gather data and analyze.


See pp. Watch for unplanned influences. This takes into account variability due to the gage, the operators, and the operator by part interaction. Part-to-Part: An estimate of the variation between the parts being measured. Specifically, the calculation divides the standard deviation of the gage component by the total observed standard deviation then multiplies by This chart shows the variation in the measurements made by each operator on each part.


Review control chart guidelines, pp. The control limits are determined by gage variance and these plots should show that gage variance is much smaller than variability within the parts. By Part chart The By Part graph shows the data for the parts for all operators plotted together.


It displays the raw data and highlights the average of those measurements. This chart shows the measurements taken by three different operators for each of 10 parts. Whether the difference is enough to be significant depends on the allowable amount of variation. In this example, each of three operators measured the same 10 parts.


The 10 data points for each operator are stacked. Whether that is significant will depend on the allowable level of variation. It is the best chart for exposing operator-and-part interaction meaning differences in how different people measure different parts. This is not good and needs to be investigated. MSA: Evaluating bias Accuracy vs. If the answer is no, the measurement system is inaccurate. Bias effects include: Operator bias — Different operators get detectable different averages for the same value.


Instrument bias — Different instruments get detectably different averages for the same measurement on the same part. If instrument bias is suspected, set up a specific test where one operator uses multiple devices to measure the same parts under otherwise identical conditions. Other forms of bias — Day-to-day environment , customer and supplier sites. Talk to data experts such as a Master Black Belt to determine how to detect these forms of bias and counteract or eliminate them. Testing overall measurement bias 1.


Assemble a set of parts to be used for the test. Calculate the difference between the measured values and the master value. Test the hypothesis see p. In the boxplot below; the confidence interval overlaps the H0 value, so we cannot reject the null hypothesis that the sample is the same as the master value.


MSA: Evaluating stability If measurements do not change or drift over time, the instrument is considered to be stable. Measurement System stability can be tested by maintaining a control chart on the measurement system see charts below.


In concept, the measurement system should be able to divide the smaller of the tolerance or six standard deviations into at least five data categories. A good way to evaluate discrimination graphically is to study a range chart. Ex: Rating features as good or bad, rating wine bouquet, taste, and aftertaste; rating employee performance from 1 to 5; scoring gymnastics The Measurement System Analysis procedures described previously in this book are useful only for continuous data.


When there is no alter-native—when you cannot change an attribute metric to a continuous data type—a calculation called Kappa is used. All differences are treated the same. Select sample items for the study. Have each rater evaluate the same unit at least twice. Calculate a Kappa for each rater by creating separate Kappa tables, one per rater. See instructions on next page. Calculate a between-rater Kappa by creating a Kappa table from the first judgment of each rater.


One rater with low repeatability skews the comparison with other raters. It means that these two raters grade the items differently too often.


Calculate these values manually for any set of continuous data if not provided by software. You will need these calculations for many types of statistical tools control charts, hypothesis tests, etc. You will rarely generate one by hand, but will see them often if you use statistical software programs. Essential for evaluating the normality; recommended for any set of continuous data.


Statistical term conventions The field of statistics is typically divided into two areas of study: 1 Descriptive statistics represent a characteristic of a large group of observations a population or a sample representing a population. Ex: Mean and standard deviation are descriptive statistics about a set of data 2 Inferential Statistics draw conclusions about a population based upon analysis of sample data. A small set of numbers a sample is used to make inferences about a much larger set of numbers the population.


However, a mean is required to calculate some of the statistical measures of variation. To determine the median, arrange the data in ascending or descending order. The median is the value at the center if there is an odd number of data points , or the average of the two middle values if there is an even number of data points. In that instance, the median would be far more representative of the data set as a whole. Range Range is the difference between the largest and smallest values in a data set.


Variance for a population uses a sigma as shown here. That means, for example, that the total variance for a process can be determined by adding together the variances for all the process steps.


Do not add together the standard deviations of each step. A drawback to using variance is that it is not in the same units of measure as the data points.


But as noted above, you CANNOT add standard deviations together to get a combined standard deviation for multiple process steps. You will be evaluating the distribution for normality see p. Ex: When dealing with data collected at different times, first plot them on a time series plot p. If there are multiple occurrences of an observation, or if observations are too close together, then dots will be stacked vertically.


Larger data sets use histograms see below and box plots see p. The groups represent non-overlapping segments in the range of data. Ex: All the values between 0. How to create a histogram 1.


Take the difference between the min and max values in your observations to get the range of observed values 2. Having too many intervals will exaggerate the variation; too few intervals will obscure the amount of variation.


Count the number of observations in each interval 4. Create bars whose heights represent the count in each interval Interpreting histogram patterns Histograms and dot plots tell you about the underlying distribution of the data, which in turn tells you what kind of statistical tests you can perform and also point out potential improvement opportunities. This usually indicates that there are two distinct pathways through the process.


You need to define customer requirements for this process, investigate what accounts for the systematic differences, and improve the pathways to shift both paths towards the requirements. The pattern is common with data such as time measurements where a relatively small number of jobs can take much longer than the majority.


This type of patterns occurs when the data have an underlying distribution that is not normal or when measurement devices or methods are inadequate. If a non-normal distribution is at work, you cannot use hypothesis tests or calculate control limits for this kind of data unless you take subgroup averages see Central Limit Theorem, p. Normal distribution In many situations, data follow a normal distribution bell- shaped curve. To use these probabilities, your data must be random, independent, and normally distributed.


However, they are better at detecting several kinds of special cause variation. Review of variation concepts Variation is the term applied to any differences that occur in products, services, and processes. There are two types of variation: 1 Common cause—the variation due to random shifts in factors that are always present in the process.


One that ALSO has special cause variation is said to be out of control. Note that there are different strategies for dealing with the two types of variation: To reduce common cause variation, you have to develop new methods for doing the work everyday.


To eliminate special cause variation, you have to look for something that was temporary or that has changed in the process, and find ways to prevent that cause from affecting the process again. Collect data and be sure to track the order in which the data were generated by the process.


Mark off the data units on the vertical y axis and mark the sequence 1, 2, 3… or time unit 11 Mar, 12 Mar, 13 Mar… on the horizontal X axis. Plot the data points on the chart and draw a line connecting them in sequence. If this is the case… 4. Determine the median see p. Count the number of points not on the median. Circle then count the number of runs. Use the Run Chart Table next page to interpret the results.


Control limits are based on data and tell you how a process is actually performing. Spec limits are based on customer requirements and tell you how you want a process to perform. See below for more details on selecting charts for continuous data and see p. Control charts for continuous data In most cases, you will be creating two charts for each set of continuous data. The first chart shows the actual data points or averages, the second chart shows the ranges or standard deviations.


Why use both? You can often do a quick chart by hand then use it to build a different or more elaborate chart later. It is also more sensitive than the ImR to process shifts.


Convert attribute data to length, area, volume, etc. Add a measure for leading indicators such as days between near misses. Control limit formulas for continuous data The constants in these formulas will change as the subgroup size changes see second table on next page. Determine sampling plan 2. Take a sample at each specified time or production interval 3. Plot the data the original data values on one chart and the and moving ranges on another 5.


After 20 or more sets of measurements, calculate control limits for moving Range chart 6. If the Range chart is not in control, take appropriate action 7. If the Range chart is in control, calculate control limits for the Individuals chart 8.


If the Individuals chart is not in control, take appropriate action Creating ,R charts or ,S charts 1. Determine an appropriate subgroup size and sampling plan 2. Collect the samples at specified intervals of time or production 3.


Calculate the mean and range or standard deviation for each subgroup 4. Plot the data. The subgroup means go on one chart and the subgroup ranges or standard deviations on another 5. After 20 or more sets of measurements, calculate control limits for the Range chart 6. If the Range chart is in control, calculate control limits for the Xbar chart 8. If the sample size varies use the u- chart. In contrast, charts for attribute data use only the chart of the count or percentage. Determine an appropriate sampling plan 2.


Collect the sample data: Take a set of readings at each specified interval of time 3. Calculate the relevant metric n, np, c, or u 4. Calculate the appropriate centerline 5. Plot the data 6. After 20 or more measurements, calculate control limits 7. Check your R-chart to rule out increases in variation. Small trends will be signaled by this test before the first test.


Any two out of three points provide a positive test. Any four out of five points provide a positive test. The proportion of current values that fall inside specification limits tells us whether the process is capable of meeting customer expectations. When to use process capability calculations Can be done on any process that has a specification established, whether manufacturing or transactional, and that has a capable measuring system.


Check with data experts in your company to see what standards they follow. Refer to any good statistics textbook for capability analysis on attribute data. The choice: Cp vs. The calculations include the mean, so are best used when the mean is not easily adjusted.


If unacceptable, implement fixes. If acceptable, then run a long-term capability analysis. Repeat customers, after all, experience the long-term capability of the process.


Evaluating results against written specifications when people are using unwritten specifications can lead to false conclusions. The tools in this chapter fall into two very different categories: a Tools for identifying potential causes starts below are techniques for sparking creative thinking about the causes of observed problems. Here the emphasis is on rigorous data analysis or specific statistical tests used to verify whether a cause-and-effect relationship exists and how strong it is.


Part A: Identifying potential causes Purpose of these tools To help you consider a wide range of potential causes when trying to find explanations for patterns in your data. Your team should simply review any of those charts created as part of your investigative efforts.


You can then focus your cause-identification efforts on the areas where your work will have the biggest impact. Very quick and focused. Encourages broad thinking. Similar in function to a fishbone diagram, but more targeted in showing the input-output linkages.


Collect data on different types or categories of problems. Tabulate the scores. Also determine the counts or impact for each category. Sort the problems by frequency or by level of impact. Draw a vertical axis and divide into increments equal to the total number you observed. Draw bars for each category, starting with the largest and working down. Convert the raw counts to percentages of the total, then draw a vertical axis on the right that represents percentage. Plot a point above the first bar at the percentage represented by that bar, then another above the second bar representing the combined percentage, and so on.


Connect the points. Interpret the results see next page. When possible, construct two Pareto charts on a set of data, one that uses count or frequency data and another that looks at impact time required to fix the problem, dollar impact, etc. You may end up targeting both the most frequent problems and the ones with the biggest impact. Select any cause from a cause-and-effect diagram, or a tall bar on a Pareto chart.


Make sure everyone has a common understanding of what that cause means. Why 2 3. Why 3 4. Sometimes you may reach a root cause after two or three whys, sometimes you may have to go more than five layers down. Name the problem or effect of interest. Be as specific as possible. Decide the major categories for causes and create the basic diagram on a flip chart or whiteboard.


Brainstorm for more detailed causes and create the diagram. See 5 Whys, p. The book contains practical tools, methods, and techniques that have been tried and tested by the author over a successful year career as a contractor transforming variable processing and inconsistent KPI results.


The winner of the Masing Book Prize sets out important Six Sigma concepts and a selection of up-to-date tools for quality improvement in industry.


Motivated by actual problems, the authors offer insightful solutions to some of the most commonly encountered issues in Six Sigma projects, such as validation of normality, experimentation under constraints and statistical control of complex processes. They also include many examples and case studies to help readers learn how to apply the appropriate techniques to real-world problems. Presents some prominent design features of Six Sigma, and a newly proposed roadmap for healthcare delivery.


Sets out information on graphical tools, including fishbone diagrams, mind-maps, and reality trees. Gives a thorough treatment of process capability analysis for non-normal data.


Discusses advanced tools for Six Sigma, such as statistical process control for autocorrelated data. Consolidating valuable methodologies for process optimization and quality improvement, Six Sigma: Advanced Tools for Black Belts and Master Black Belts is a unique reference for practising engineers in the electronics, defence, communications and energy industries. It is also useful for graduate students taking courses in quality assurance. A brief business novel about combining today's two most powerful quality initiatives Leaning Into Six Sigma shows managers how to combine today's two most popular continuous improvement methodologies-- Lean Enterprise and Six Sigma--for dramatically improved quality and cycle time.


This concise and fast-paced "business novel" tells the story of how one skeptical company gradually came to understand and implement a Lean Six Sigma initiative--improving quality at all levels of the organization. This engaging story will help employees and managers understand basic quality concepts from Design of Experiments DOE to Analysis of Variance ANOVA , while learning how to: Implement work cells and preventive maintenance Get rid of excess inventory Speed up processes.


Written by four instructors from the world-renowned Motorola University, this handbook provides the tools Six Sigma Black Belts and Master Black Belts need to deal with the most intractable business problems. The authors show how to integrate research and development, manufacturing, human resources, finance, marketing, quality, and customer service with corporate vision, mission, and key strategies.


Skip to content. Author : Michael L. George,John Maxey,David T. Lean Six Sigma. Lean Six Sigma Book Review:. Author : Frank Voehl,H. Lean Six Sigma for Service.


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