Definitive Guide to SPC Control Charts

What is an SPC Control Chart?

For manufacturers who use statistical process control (SPC) or are engaged in continuous process improvement activities, SPC control charts are powerful tools for assessing and improving process quality. Control charts provide immediate, real-time indications of significant changes in manufacturing processes that warrant a root-cause analysis or other investigation.

Why Use SPC Control Charts for Quality Control?

SPC control charts are foundational quality control tools and figure prominently in Lean manufacturing and Six Sigma efforts. Control charts are used in a variety of ways, but on the shop floor, operators use them as a means of assessing, controlling, and ensuring the consistency of manufacturing processes. By controlling processes, operators can minimize significant process changes that can result in off-quality products.

The Right Control Chart for Every Situation

Your manufacturing situation is unique, so you need control charts that can manage the variety of products you make while reducing complexities that take up time in your work day.

With InfinityQS® software, you get access to more than a few traditional control charts. From standard control chart options for high-speed production to managing short runs and large numbers of part features, InfinityQS software offers a huge variety of configurable control charting options to help manage your biggest challenges.

Although many different types of SPC charts exist, selecting the most appropriate chart for your situation should not be overwhelming. Let InfinityQS help. Our highly configurable control charts will ensure that you have the best control chart for detecting the right type of variation, resulting in reduced defects and greater process consistency.

In addition, our software solutions automate and simplify chart use to help you get actionable information from your quality data.

SPC Charts Explained

In the pages of this online guide, you’ll find examples of the most popular SPC control charts and analytic displays and learn how they can help you better understand your processes and optimize performance.

For further guidance, download our free resource, A Practical Guide to Selecting the Right Control Chart.

Beyond the SPC Chart: See the Benefits of Modern SPC Software

Today’s manufacturing environments produce an ever-increasing amount of data. With support for automated and semi-automated data collection, using statistical process control through SPC-based Quality Intelligence software makes sense and can help reduce or eliminate the potential for human error.

Think you can’t afford to automate SPC charts?

With InfinityQS, implementing SPC software has never been easier—or more affordable.

SPC Control Charts

Select an SPC control chart to learn more about its use in traditional and special production situations.

Individual X and Moving Range (IX-MR) Chart

Charts the actual reading and the absolute difference between two consecutive plot points.

Xbar and Range Chart

Plots the average of individual values in a subgroup.

Xbar and s Chart

Plots the average and the sample standard deviation of individual values in a subgroup.

SPC Analytic Charts

Select an analytic chart to discover how it can provide insight for your SPC initiatives.
Histogram Histogram Plots distributions to provide a quick view of variations with a process. Learn More
Pareto Pareto Provides a different way to visualize distributions and analyze problem or cause frequency. Learn More
Box-and-Whisker Box-and-Whisker Shows the shape of a distribution, including central value and variability. Learn More
Capability & Performance Capability & Performance Capability (Cp) and performance (Cpk) charts illustrate a process’s ability to meet specifications. Learn More

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Statistical Process Control 101

Understanding Process Variation

William Edwards Deming (1900-1993) was an important contributor to statistical process control and its use in manufacturing. According to the American Society for Quality (ASQ), his 14 key points on quality management are a core part of modern quality management programs.

Understanding process variation is an integral aspect of using Statistical Process Control (SPC) to improve your manufacturing processes. Dr. Deming’s first principle states, “The central problem in lack of quality is the failure of management to understand variation.” Only after management understands variation can a manufacturer succeed in implementing Dr. Deming’s second principle: “It is management’s responsibility to know whether the problems are in the system or in the behavior of the people.”

Types of Process Variation

There are two types of process variation:

  • Common cause variation is inherent to the system. This variation can be changed only by improving the equipment or changing the work procedures; the operator has little influence over it.
  • Assignable cause variation comes from sources outside of the system. This variation can occur because of operator error, use of improper tooling, equipment malfunction, raw material problems, or any other abnormal disruptive inputs.

The goal of SPC is to understand the difference between these two types of process variation—and to react only to assignable cause variation. Processes that show primarily common cause variation are, by definition, in control and running as well as possible.

Control versus capability

Note that keeping a process in control doesn’t mean that the product is acceptable; the system must also be capable of making acceptable products. Control and capability are different concepts.

SPC uses statistical tools—such as control charts—to identify process variations. Special cause variations—those outside the standard or expected variation—are identified and their causes need to be eliminated or at least understood.

Example of special cause variation

Suppose you drive to work each day. Your path has inherent or common variations, such as traffic lights. But suppose there is a railroad crossing that causes you to be 30 minutes late for work. That day’s commute would be special variation, and the railroad crossing would be the assignable cause.

As a result of understanding and reducing or eliminating assignable cause variations (perhaps there is a route with no railroad crossings), processes can be kept in control and continually improved. Adjusting an in-control process when there is no identified need is called tampering and only increases the variation of the system.

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Statistical Process Control 101

Populations and Sampling

population consists of all the possible elements or items associated with a situation; for example, all trout that are living in a lake. A sample refers to a portion of those elements or items. It is cost prohibitive to evaluate every member of a population and, in the case of destructive testing, may be impossible. For these reasons, manufacturers rely on sampling their data to cost-effectively make inferences of the population without measuring each piece.

  • Effective sampling plans must be representative of the population being studied.
  • In most cases, sampling plans need to be random and unbiased.
  • Sampling frequency and subgroup size are also crucial to a successful sampling plan.

Rational Sampling and Subgrouping

Rational samples are taken with regard to the way the process output is measured (i.e., what, where, how, and when it is measured). Samples must be taken frequently enough to monitor any changes in the process. Samples should be selected with the goal of keeping the process stream intact. That is, in the context of manufacturing, a stream consists of a single part, process, and feature combination. Mixing any one of these parameters introduces ambiguity into the analysis. Odd sample sizes (3 and 5 are very common) are recommended because they have a natural median.

The correct sampling frequency depends on how fast the process is changing. To be representative of the population, samples must be taken often enough to catch any expected changes in the process, but with sufficient time between samples to display variation. Frequencies are usually defined in measurements of time (e.g., every 30 minutes, hourly, daily) but may also be defined using counts (e.g., every 100th product).

After the data have been sampled rationally, they must be subgrouped rationally as well. A rational subgroup contains parts that can be produced without any process adjustments – typically consecutively produced parts. Such a subgroup has little possibility of assignable cause variation within the subgroup. If only common cause variation exists within the samples, then any abnormal differences within or between the subgroups is attributable to assignable cause variation. Process streams should not be mixed within a subgroup. If the subgroup includes output of two or more process streams and each stream cannot be identified, then the sampling is not rational.

The subgroup size determines the sensitivity of a chart. As the sample size increases, the plotted statistic becomes more sensitive. That is, charts can detect smaller process shifts as the sample size increases.

Data must sometimes be grouped in subgroups of one. Subgroup size should be one when process adjustments or raw material changes must be made with each part or when only one value represents the monitored condition (e.g., daily yield, past week’s overtime). Subgroup size should also be one when sampling a known homogeneous batch.

In Advanced Topics in Statistical Process Control, Donald Wheeler suggests the following subgrouping principles:

  • Never knowingly subgroup unlike things together.
  • Minimize the variation within each subgroup.
  • Maximize the opportunity for variation between the subgroups.
  • Average across noise, not across signals.
  • Treat the chart in accordance with the use of the data.
  • Establish standard sampling procedures.

Random vs biased sampling

The purpose of a sample is to accurately represent the population. Statistical formulas that are used to estimate populations are based on the premise that the samples are random. In a random sample, every item in the population has an equal chance of being selected. A sample has bias when some of the items in a population have a greater chance of being sampled than others.

Example: Sampling pies

Suppose you are a taster in a pie factory. If a day’s production is one pie, then that pie is the population. To evaluate the population, you would need to eat the entire pie. However, you’d then be left with no pie to sell. A more effective option, assuming a uniform crust and homogeneous filling, would be to slice the pie into 12 equal sections and eat only one slice. By eating this sample slice, you can evaluate the quality of the entire pie and still be left with slices to sell.

If production increases to several pies per day, you may continue eating one slice from a pie and may not sample every pie. If you add a second shift or a second variety of pie, you would need to collect subgroups from these new sources of variation.

Imagine that you always take a sample slice from the same slice location for the pie samples. It may be possible that the location of that slice as the pie moves through the oven allows it to be perfectly cooked while the other side of the pie is slightly undercooked. This is another source of variation that needs to be considered with sampling. A true random sample would be one that is taken from different or random areas of each sampled pie.

5 Ws and 2 Hs of Sampling

Who will be collecting the data? Evaluate the abilities of the operator who collects the data. How much time does the operator have? Does the operator have adequate resources to collect the data?

What is to be measured? Focus on important characteristics. Remember that it costs money to sample, so you should focus on the characteristics that are critical to controlling the process or key features that measure product conformity.

Where or at what point in the process will the sample be taken? The sample should be taken at a point early enough in the process that allows the data to be used for process control.

When will the process be sampled? Samples must be taken often enough to reflect shifts in the process. A good rule of thumb is to sample two subgroups between process shifts.

Why is this sample being taken? Will the data be used for product control or process control? What question(s) are you trying to answer with the data?

How will the data be collected? Will samples be measured or evaluated manually, or will the data be retrieved from an automated measurement source?

How many samples will be taken? The sample quantity should be adequate for control without being too large.

Attributes (Defects/Defectives)

The discussion so far has centered on the benefits of measuring variables data. But in many situations, there is no measurement value, only a pass/fail rating or a defect count. Even so, attribute data can also be plotted on control charts and be vital to understanding process control. There are two distinct types of attribute data: defects and defectives.

Defects

Defects data, also known as counts data, are used to describe data collection situations in which the number of occurrences within a given unit is counted. An occurrence may be a defect, observation, or an event. A unit is an opportunity region to find defects, sometimes called the area of opportunity. A unit may be a batch of parts, a given surface area or distance, a window of time, or any domain of observation.

For example, suppose the number of weave flaws is counted on a bolt of fabric. The bolt represents a unit, and the weave flaws represent occurrences. There might be an unlimited number of types of flaws on a given bolt of fabric. Some flaws might be more severe than others. A flaw might or might not cause the bolt to be scrapped. Consecutively produced bolts might or might not be of uniform size.

Defectives

Defectives data, also known as go/no-go or pass/fail data, are used to describe data collection situations in which the unit either does or does not conform.

For example, light bulbs are tested in lots of 100. If a bulb lights up, it conforms and is accepted. If the bulb does not light, it is nonconforming. Or consider a filling operation. If a container is filled below the minimum weight, it is defective. Anything over the minimum weight is accepted. Either the fill volume meets the minimum requirements, or it does not.

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Quality Manufacturing

Go Beyond the Quality Checklist

As a manufacturer, you do more than just make a product. You are creating a brand and a customer relationship that’s essential for today’s success and the future of your business. Whatever your industry, whether you’re a small manufacturer or a global brand, your company’s reputation and earning potential are always at stake.

Manufacturing quality is the key to differentiation and a competitive advantage. When you put quality at the heart of your operations and your manufacturing culture, you gain more than just a mark on a quality control checklist. You gain the ability to transform your manufacturing organization and position it to thrive now and into the future.

Quality manufacturing starts when you re-imagine where your quality data can take you.

Quality manufacturing starts when you re-imagine where your quality data can take you.

“Coty has realized quality manufacturing benefits across all parts of the value chain—from quality professionals that experience unprecedented database accuracy to executives seeing financial savings.”
Romina Colautti, Process Engineer

Coty

Build Quality Manufacturing into Your Culture

Quality manufacturing goes beyond compliance requirements on a quality checklist. It’s more than employing a proven statistical process control (SPC) methodology. It’s a cultural foundation that crosses activities in every aspect of your operations, informs and empowers decision-making, and delivers a powerful return on investment (ROI). It’s the enterprise-wide practice that turns quality data into actionable Quality Intelligence.

Browse the topics in this learning center to learn about the critical aspects of quality control in manufacturing that will elevate the quality manufacturing culture of your organization.

Cost_of_Quality

Cost of Quality

When you change the way you think about your investment in quality initiatives in manufacturing, you launch a transformational process that enables positive, continuous improvement—and profitable growth for the future of your organization.

Do you see quality as a cost—or an opportunity? A constant chore—or a strategic advantage?

Learn More

QualityTeam_Thumb

Quality Team

In some organizations, the quality team is limited to a few individuals. In organizations that embrace quality manufacturing, the quality team extends across roles and locations, from suppliers to plant floor operators to plant managers to boardroom executives.

When everyone in the organization has a stake in quality, you gain the ability to continuously identify improvement opportunities, minimize risk and recalls, and exceed customer expectations.

How can you foster communication across roles?

Learn  More

QualityDashboard_Thumb

Quality Dashboards

When everyone plays an important role in quality manufacturing, it’s essential to ensure that everyone has the information they need to perform their quality assurance tasks.

Role-based quality dashboards provide an uncluttered interface for showing every user the specific information they need to do their job well—and take meaningful, proactive action to improve quality at every level.

How can you make SPC information more accessible to all your stakeholders?

Learn More

QualityChecks

Quality Checks

On a busy plant floor, operators may be performing routine quality checks as if they were an annoying chore rather a necessary contribution of assuring quality. More important, they might miss timed checks or skip some quality checks altogether.

When you provide operators with tools such as automated data collection and role-based dashboards, they can more easily see the information they need, perform required checks, and take corrective action in real time.

How can you empower operators and ensure accountability?

Learn More

QualityChecks_Check

Quality in Real Time

Every manufacturing organization collects data. Lots of data. But often that data is siloed, archived, and never used. In quality manufacturing, valuable data are brought back to life to ensure quality in real time.

That means being able to not only collect data in real time but also see, analyze, and use it to proactively correct issues and improve outcomes—saving time, money, and resources in the process.

How can you improve response times to issues and audits?

Learn More

QualityRealTime_Line

Quality Control Methods

Time-tested quality control methods such as inspection, in-process sampling, and control charts provide a solid foundation for SPC-based quality programs. However, these methods can be time-consuming and often stop at the plant floor.

Learn how to leverage the quality data you already collect today to make more impactful improvements across your whole enterprise.

How can you make SPC information easier to analyze?

Learn More

Quality Metrics

Your metrics—the data that you measure and record every day—are just the tip of the quality manufacturing iceberg. Give a second life to your data by centralizing and aggregating it so that you can see the bigger picture of your products, processes, and plants—and make meaningful improvements across your enterprise.

How do you turn quality metrics into quality intelligence?

Learn More

Bring Quality Initiatives to Life with Modern SPC

Building a quality manufacturing culture is faster and easier when you have the right tools and systems in place. InfinityQS provides the solutions to address your most critical quality concerns. Grounded in proven statistical process control (SPC) methodology and purpose-built for the way modern manufacturing works today.

Learn more about InfinityQS quality platforms.

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  • Get a live, personalized demo

Statistical Process Control 101

Overcoming Obstacles to Effective SPC

Statistical process control can help manufacturers achieve continuous process improvement—when it is implemented properly. Watch out for the following obstacles, which can sideline your SPC efforts.

SPC Obstacle #1: “We’re Too Unique for SPC”

If management (or others within the company) believe that company circumstances are so unique that statistical process control cannot be applied to processes, they are likely to argue that even considering SPC would be a waste of time. This obstacle tends to crop up for manufacturers that experience the following:

  • Short runs (i.e., frequent process or product changes)
  • Lack of metrics
  • Fear of change
  • Proprietary or unique processes

To overcome this obstacle: Explain that if a process creates output, then SPC can be applied. The first step is to start collecting data to show how the process behaves. After metrics are defined and data are collected and plotted, it is easy to see that the process does have measurable characteristics. Educating employees in short-run process control methods is a great way to show them that they are not alone. While one likes to feel special, the truth is that most companies that feel too special for statistical process control are the ones that can benefit the most from using SPC.

SPC Obstacle #2: “SPC Will Fix Everything!”

SPC isn’t a cure-all. If no action is taken pursuant to the knowledge gained from SPC analysis, then implementing SPC software for manufacturing or setting up dozens of control charts is not going to improve anything. A control chart can’t eliminate variation and won’t solve all your quality problems.

SPC is the foundation of an effective process-improvement methodology, but there are numerous other tools that should be used. Management teams that expect to solve all their quality problems simply by implementing SPC but doing nothing with the data typically abandon the initiative when it doesn’t miraculously solve every problem.

To overcome this obstacle: SPC education must include an understanding of what SPC does. SPC brings to light common cause and special cause variations, but other tools are needed to reduce or eliminate variation. Train employees to use other process-improvement tools to help reduce variation and create a Corrective Action or Process Improvement team to work on projects.

SPC Obstacle #3: Misunderstanding Limits

Before SPC implementation, many manufacturers collect product data and compare them to specification limits. If the product is within the boundaries set by the customer, the manufacturer assumes that the process is performing fine…in-control. This use of data and limits is called product control, not process control.

When SPC is implemented, you use control limits that are based on process behavior to truly control the process. However, some companies keep specification limits on their control charts, base control limits on something other than true process variation, or set control limits to a standard other than +3 sigma. If control limits do not accurately represent the process, they are useless and can cause more harm than good.

To overcome this obstacle: Ensure that employees understand that control limits are the voice of the process and show how the process is performing, whereas specification limits are the voice of the customer and are independent of process stability. Specification limits do not belong on a control chart. Control charts always use control limits, which are set at 3 sigma units on either side of the central line and are based on data. Drill into all employees that control limits are never based on any calculation using the specification limits. 

SPC Obstacle #4: Too Much Tampering

When a process is in state of statistical control, with primarily common cause variation present, any adjustment to the process is tampering and will only increase the variation. Operators often adjust machines that don’t need adjustment; good operators have a natural tendency to tinker with a process to try and make it perform at its best. Management can aggravate tampering by insisting that operators adjust a process when process data aren’t where management wants them.

These impulsive reactions create uncontrollable gyrations in the process. When the process deteriorates, management tends to blame the operator, resulting in distrust and damaged morale that can ruin an SPC initiative—and do irreversible harm to employee/management relations.

To overcome this obstacle: All employees, especially management, must be trained to understand variation and the dangers of tampering. Each data point on a control chart is independent of the previous one. Processes must be allowed to operate in their natural state if you are to understand the common cause variation. There is a saying in the SPC community, “Don’t do something, just stand there.” Training must include how tampering creates bias and nullifies control charts.

SPC Obstacle #5: Lack of Management Support

Employees who are expected to implement SPC without adequate training and resources will undoubtedly cause the initiative to fail. In many cases, management attempts to save money by scrimping on training, but the money saved will be outweighed by the wasted cost of an unsuccessful SPC program.

In some cases, employees get adequate training, but supervisors and management do not—and so do not support the initiative. If management is uncomfortable with SPC concepts, they will either avoid necessary actions (because they are uneasy with the changes) or recommend process changes based on a misunderstanding of process control. Either way, the SPC initiative suffers.

To overcome this obstacle: Management must provide the necessary resources to conduct thorough training for every employee and every level of the organization—including all levels of management. This training must be repeated at regular intervals, as new employees must be trained, and experienced employees need refresher courses.

Management must be involved with the SPC initiative so that employees know that management believes in and understands SPC. Management must set realistic goals for process improvement and base their analysis on solid metrics. Executive management should also involve front-line management in the selection of the areas to which to apply SPC. Doing so will increase the likelihood that front-line management will take ownership of the system and help it to gain acceptance with employees.

All managers must understand how decision-making should change after SPC is implemented. Remember Shewhart’s Fourth Foundation of Control Charts: Control charts are effective only to the extent that the organization can use, in an effective manner, the knowledge gained. Management must empower employees to make decisions gained from SPC analysis.

SPC Obstacle #6: Lack of Data Integrity

Data that lacks integrity has a devastating effect on analysis and decision-making. Using “bad” data can be worse than having no data. Data can be biased in many ways: Operators might be “rounding off” values before recording data. Subgrouping might not be rational. A measuring instrument might not be suited for the task or might be damaged or out of calibration.

To overcome this obstacle: Before the SPC initiative, set rules for data collection and analysis. Criteria should include the least number of significant digits for the measurement system, how much error (including gauge Repeatability and Reproducibility, bias, and linearity studies) is acceptable, calibration frequency for measurement instruments, rules for determination of outliers, and which actions to take with outliers. Sampling practices must be evaluated to prove rationality, and the sampling frequency must be sufficient to detect shifts in the process.

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Real-Time SPC Data Analysis for Real–Life Quality Improvement Needs

Get More from Statistical Process Control

When it comes to real-time Statistical Process Control (SPC), most solutions begin—and end—with control charts. Although control charts are excellent shop-floor tools, you’ll need other analysis tools to extract maximum information from your data.

InfinityQS® takes you farther. Our sophisticated analysis tools give you the ability to view data across product codes, lines, or sites—all on one report. And that’s just the beginning. Regardless of your manufacturing process—high volume/low mix, or low volume/high mix—InfinityQS has the right analysis tools for your unique situation.

This is real-time, real-life SPC.

Flexibility

Get the flexibility to meet your needs now and into the future, both in terms of functionally and implementation. You can choose from an on-premises solution or a cloud-based platform. Do it yourself or allow our experts to help you maximize the return on your SPC investment.

  • The right tools for every job. We collect, standardize, aggregate, and store data in a single Unified Data Repository, so you can analyze and view it in hundreds of ways—without requiring expensive add-on software, export to third-party applications, or manual data processing. It’s simple to summarize, aggregate, and analyze all of your quality data using InfinityQS analysis tools.
  • Support for real-life challenges and goals. Whether your most pressing priority is to reduce risk, cost, or scrap or to increase product quality or profit margin, your data must be easily accessible and your analysis tools must be flexible. InfinityQS SPC analyses let you parse information your way instead of forcing you into pre-determined analysis methods.
  • Configurable notifications, quality dashboards, and more. Depending on your role and immediate goals, different information can take priority on any given day. That’s why InfinityQS products feature the ability to automatically trigger alarms and communicate them to precisely the right personnel at your plants. Conveniently, a single dashboard can be configured to reveal charts and information targeted to different unique users. This allows a single interface to be repurposed for a wide variety of needs and users while minimizing time spent configuring the system.

Comprehensiveness

InfinityQS serves the real-time quality needs of all industries. We have designed our SPC solutions with flexibility to meet the widest possible range of scenarios and to support a big-picture view of your entire operation.

  • Support for challenging production environments. For manufacturers in the Aerospace, Automotive, Food and Beverage, Medical Device, and Pharmaceuticals industries, SPC efforts can be more challenging because of regulatory demands, short production runs, and frequent product changes. InfinityQS software was originally developed with these complexities in mind so you won’t struggle to deploy SPC. Our products provide extensive traceability and easy data access to help you significantly reduce audit prep time and recall risk. We understand quality—and it shows in InfinityQS’s certifications for both ISO 9001 and ISO 27001.
  • Low mix/high volume or high mix/low volume scenarios. Our software products can be used across all stages in the manufacturing process—from raw material receiving inspection to machine startup activities—all the way to final finished goods. Best of all, you get this functionality natively—no need to buy additional software modules. Our advanced statistical techniques allow our SPC solutions to support high-mix/low-volume production environments, enabling you to analyze process consistency across production lines that make diverse products.
  • Sophisticated comparative analysis tools. Extract previously unknown information from your data with tools that support comparisons across product codes, production lines, and even different geographic locations. Our solutions simplify analysis and enable direct comparisons and insights that other products simply can’t. And our powerful analysis engine enables the types of queries and comparisons that Six Sigma programs depend on.

Speed

Your real-time SPC solution shouldn’t slow down your production line. Our solutions are plant-floor friendly and provide fast setups, fast data collection, and even faster data analysis. Plus, we help you expose process improvement opportunities you never knew existed, so you can save even more time and resources.

  • One setup to support multiple product codes and processes. With InfinityQS, you get full functionality “out of the box.” After initial setup, expanding across products or processes is simple, requiring very little configuration time.
  • Enhanced and comprehensive comparison capabilities. What good is a unified database if it doesn’t unify your quality data in a useable way? InfinityQS makes it easy to run comparisons across products, shifts, lines, and even sites—all on one chart, report, or dashboard. Summarizing data is simple and you get the visibility you need to better manage overall quality.

Simplicity

You have enough on your plate. Your real-time SPC solution should reduce burdens—not add to them. InfinityQS quality solutions help reveal the most important information for you automatically, so you can act immediately.

  • See your most important information first. Why settle for SPC products that don’t help you see what really matters? Our SPC products help you prioritize quality data and the way you see it so that you get the information you need quickly and with minimum effort.
  • Complete support. From a help system that includes videos and multiple languages to highly trained technical support staff, degreed engineers, and training classes, InfinityQS support helps our clients maximize the return on their SPC system.
  • Automated real-time alerts and notifications. Quick responses are vital when problems occur. When issues happen, InfinityQS solutions send real-time automated alerts to the people who need to know.

Expertise

At InfinityQS, all of our salespeople, engineers, and quality experts hold a Six Sigma Green Belt certification. And we employ statisticians and Six Sigma Black Belts. We are committed to providing our clients real-world experience in quality technologies, manufacturing, statistics, and process control. With nearly 30 years of expertise in the real-time SPC market, InfinityQS understands your needs and how to solve your greatest challenges.

  • Staffed by quality experts. Our team understands your needs. We have extensive manufacturing and quality expertise. We’ve been where you are. Our experts include industrial statisticians, certified quality engineers (CQEs), and Six Sigma Green and Black Belts. Together, we have more than a century of on-site deployment experience in every environment imaginable, across the globe.
  • Nearly 30 years of experience. Since 1989, InfinityQS has helped organizations of all sizes achieve excellence in quality. Quality is the foundation of our business. More than 40,000 active licenses are in use in organizations across the globe. From Fortune 100 companies to small manufacturing shops, InfinityQS clients benefit from our real-world approach to SPC software solutions.
  • #1 SPC solution (ProFicient™).

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SPC Glossary: T, U, V, W, X, Y, Z

Quality Management System Glossary: T, U, V, W, X, Y, Z

T

T-Distribution

Any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small, and population standard deviation is unknown.

Tampering

An action taken to compensate for variation within the control limits of a stable system. Tampering increases (rather than decreases) variation, as in the case of Over Control.

Tolerance

The maximum and minimum limit values a product can have and still meet customer requirements.

Trend

The graphical representation of a variable’s tendency, over time, to increase, decrease, or remain unchanged.

Trend Control Chart

A control chart in which the deviation of the subgroup average, X-bar, from an expected trend in the process level is used to evaluate the stability of a process.

Type I Error

An incorrect decision to reject something (such as a statistical hypothesis or a lot of products) when it is acceptable.

Type II Error

An incorrect decision to accept something when it is unacceptable.

U

U-Chart

Count-per-unit chart.

Unit

An object for which a measurement or observation can be made; commonly used in the sense of a unit of product or piece, the entity of product inspected to determine whether it is defective or non-defective.

Upper Control Limit (UCL)

Control limit for points above the central line in a control chart.

V

Variable Data

Measurement information. Control charts based on variable data include average (X-bar) chart, range (R) chart, and sample standard deviation (or s) chart.

Variance

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean. Informally, it measures how far a set of (random) numbers are spread out from their average value.

Variation

A change in data, characteristic or function caused by one of four factors: special causescommon causestampering, or structural variation.

W

Weibull Distribution

Named after Swedish mathematician Waloddi Weibull, the Weibull Distribution is a continuous probability distribution. Commonly used to assess product reliability, analyze life data, and model failure times.

X

X-Chart

A control chart used for process in which individual measurements of the process are plotted for analysis. Also called an Individuals chart or I-chart.

X-Bar Chart

A control chart used for processes in which the averages of subgroups of process data are plotted for analysis.

Z

Zero Defects

A management tool aimed at the reduction of defects through prevention. Directed at motivating people to prevent mistakes by developing a constant, conscious desire to do their job right the first time. Developed by quality expert Philip B. Crosby.

Z1.4 and Z1.9

ANSI/ASQ Z1.4-2003 (R2013): Sampling Procedures and Tables for Inspection by Attributes is an acceptance sampling system to be used with switching rules on a continuing stream of lots for the acceptance quality limit (AQL) specified.

ANSI/ASQ Z1.9-2003 (R2013): Sampling Procedures and Tables for Inspection by Variables for Percent Nonconforming is an acceptance sampling system to be used on a continuing stream of lots for the AQL specified.

Statistical Process Control 101

Distributions

To begin evaluating the type of variation in a process, one must evaluate distributions of data—as Deming plotted the drop results in his Funnel Experiment. The best way to visualize the distribution of results coming from a process is through histograms. A histogram is frequency distribution that graphically shows the number of times each given measured value occurs. These histograms show basic process output information, such as the central location, the width and the shape(s) of the data spread.

Location: Measure of Central Tendency

There are three measures of histogram’s central location, or tendency:

  • Mean (the arithmetic average)
  • Median (the midpoint)
  • Mode (the most frequent)

When compared, these measures show how data are grouped around a center, thus describing the central tendency of the data. When a distribution is exactly symmetrical, the mean, mode and median are equal.

Formula for estimating population mean

To estimate a population mean, use the following equation:

Formula for estimating population mean

Dispersion: Spread of the Data

The two basic measures of spread are the range (the difference between the highest value and the lowest value in the sample) and the standard deviation (the average absolute distance each individual value falls from the distribution’s mean). A large range or a high standard deviation indicate more dispersion, or variation of values within the sample set.

Formula for estimating standard deviation

To estimate the standard deviation of a population, use the following equation:

Formula for estimating standard deviation
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Statistical Process Control 101

Specification and Control Limits

Specification limits are boundaries set by a customer, engineering, or management to designate where the product must perform. Specification limits are also referred to as the “voice of the customer” because they represent the results that the customer requires. If a product is out of specification, it is nonconforming and unacceptable to the customer.

Remember: The customer might be the next department or process within your production system.

Control limits are calculated from the process itself. Because control limits show how the process is performing, they are also referred to as the “voice of the process.” Control limits show how the process is expected to perform; they show the variation within the system or the range of the product that the process creates.

Control limits have no relationship to specification limits.

If a product is outside the control limits, it simply means that the process has changed; the product might be in or out of specification. The shift could be caused by a decrease or increase in variation but has no relation to the specification limits.

Control limits are typically set to +3 standard deviations from the mean. For variable data, two control charts are used to evaluate the characteristic: one chart to show the stability of the process mean and another to describe the stability of the variation of individual data values.

Control limits must never be calculated based on specification limits.

Speak to a Manufacturing Industry Expert

What to Expect

  • Free 20-minute call with a product expert
  • Live demo tailored to your industry requirements
  • Discover what products best fit your needs
  • No games, gimmicks, or high-pressure sales pitch