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There are 5 modules in this course
In this course, you will learn to analyze data in terms of process stability and statistical control and why having a stable process is imperative prior to perform statistical hypothesis testing. You will create statistical process control charts for both continuous and discrete data using R software. You will analyze data sets for statistical control using control rules based on probability. Additionally, you will learn how to assess a process with respect to how capable it is of meeting specifications, either internal or external, and make decisions about process improvement.
This course can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) degree offered on the Coursera platform. The MS-DS is an interdisciplinary degree that brings together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the MS-DS is ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics. Learn more about the MS-DS program at https://www.coursera.org/degrees/master-of-science-data-science-boulder.
In this module, you will learn how to define a process and break it down into components for the purpose of identifying potential sources of variation. You will learn how to classify variation into common and special causes through the use of a control chart. You’ll discover the Taguchi Loss function, and how it relates to the philosophy of quality, and its association to the product control and process control cycles. You will learn the basic anatomy of a control chart as well as the process used to create a control chart, and common errors encountered when using a control chart in practice. You will be able to calculate an appropriate sample size, as well as determine when a process is in control or out of control based on statistical rules.
Creating a Control Chart - Steps 1 and 2•5 minutes
Creating a Control Chart - Step 2 (continued)•6 minutes
Creating a Control Chart - Step 3•5 minutes
Creating a Control Chart - Step 4•6 minutes
Creating a Control Chart - Steps 5, 6 and 7•8 minutes
3 readings•Total 21 minutes
Course Updates and Accessibility Support•1 minute
Earn Academic Credit for your Work!•10 minutes
Course Support•10 minutes
1 assignment•Total 30 minutes
Process Variation, Process Control and Control Charts•30 minutes
2 discussion prompts•Total 20 minutes
Introduce Yourself! •10 minutes
Process Variation, Process Control, and Control Charts•10 minutes
Xbar and R / Xbar and S Charts / X and MR Charts
Module 2•2 hours to complete
Module details
In this module, you will learn how to select the appropriate chart given information on sample size and data type. You’ll learn how to create and interpret control charts with subgroups for variables data, as well as how to create them in R. You will also create and interpret control charts with a sample size of one data that is normally distributed. You'll learn how to monitor other statistics using the Individuals and Moving Range Chart. Finally, you will interpret the control charts for statistical control / stability.
What's included
11 videos1 reading1 assignment1 discussion prompt
Show info about module content
11 videos•Total 66 minutes
Mean and Range Charts - Part 1•4 minutes
Mean and Range Charts - Part 2•5 minutes
Mean and Range Charts - Part 3•7 minutes
Mean and Standard Deviation Charts - Part 1•5 minutes
Mean and Standard Deviation Charts - Part 2•5 minutes
Individuals and Moving Range Charts - Part 1•5 minutes
Individuals and Moving Range Charts - Part 2•5 minutes
Individuals and Moving Range Charts - Part 3•8 minutes
Individuals and Moving Range Charts - Part 4•5 minutes
Setup Dominant Processes•8 minutes
Machine Dominant Processes•8 minutes
1 reading•Total 5 minutes
READ ME FIRST•5 minutes
1 assignment•Total 30 minutes
Xbar and R / Xbar and S Charts / X and MR Charts•30 minutes
1 discussion prompt•Total 10 minutes
Xbar and R / Xbar and S Charts / X and MR Charts•10 minutes
X and Moving Range Charts for Non-Normally Distributed Data
Module 3•2 hours to complete
Module details
In this module, you will learn how to create an X and Moving Range Chart when the underlying distribution is not normally distributed. You’ll learn how to calculate control limits for the X and MR Charts with LogNormal transformed distribution and exponential distribution. Additionally, you will learn how to fit a distribution to the data and calculate control limits associated with the selected distribution. Finally, you will interpret the control charts for statistical control / stability.
What's included
12 videos1 assignment1 discussion prompt
Show info about module content
12 videos•Total 58 minutes
Introduction•4 minutes
Log Transformed Data - Part 1•5 minutes
Log Transformed Data - Part 2•5 minutes
Exponential Data - Part 1•5 minutes
Exponential Data - Part 2•4 minutes
Exponential Data - Part 3•9 minutes
Introduction to Distribution Fitting•4 minutes
Goodness of Fit Testing - One Distribution•4 minutes
Goodness of Fit Testing - Multiple Distributions•5 minutes
The Johnson Distribution - Part 1•4 minutes
The Johnson Distribution - Part 2•6 minutes
Selecting the Best Fit and Creating the Control Chart•3 minutes
1 assignment•Total 30 minutes
X and Moving Range Charts for Non-Normally Distributed Data•30 minutes
1 discussion prompt•Total 10 minutes
X and Moving Range Charts for Non-Normally Distributed Data•10 minutes
Process Capability
Module 4•2 hours to complete
Module details
In this module, you will learn how to compare process variation to customer specifications. You’ll learn the three indices associated with capability measures and the three indices associated with performance measures. Additionally, you will learn to assess capability and performance when the data are not normally distributed.
What's included
16 videos1 assignment1 discussion prompt
Show info about module content
16 videos•Total 73 minutes
Process Control vs Process Capability•3 minutes
Capability Indices•5 minutes
Cpm and the Taguchi Loss Function•3 minutes
Capability vs Performance Measures•3 minutes
Capability / Performance - Xbar and R chart Part 1•6 minutes
Capability / Performance - Xbar and R chart Part 2•5 minutes
Capability / Performance - Xbar and s chart Part 1•5 minutes
Capability / Performance - Xbar and s chart Part 2•6 minutes
Capability / Performance - X and MR chart•4 minutes
Capability / Performance - Transformed Data Part 1•6 minutes
Capability / Performance - Transformed Data Part 2•6 minutes
Capability / Performance - Transformed Data Part 3•2 minutes
Capability / Performance - Exponential Part 1•6 minutes
Capability / Performance - Exponential Part 2•5 minutes
Capability / Performance - Distribution Fitting Part 1•4 minutes
Capability / Performance - Distribution Fitting Part 2•3 minutes
1 assignment•Total 30 minutes
Process Capability•30 minutes
1 discussion prompt•Total 10 minutes
Process Capability•10 minutes
Control Charts for Discrete Data
Module 5•2 hours to complete
Module details
In this module, you will learn how to create and analyze control charts for discrete data. You will learn how to differentiate between data that are Binomial and data that are Poisson distributed in order to select the appropriate control chart. Additionally, you will learn to assess capability using an appropriate discrete probability model.
What's included
12 videos1 assignment1 discussion prompt
Show info about module content
12 videos•Total 67 minutes
Introduction to Attribute Control Charts•4 minutes
p Charts - Part 1•6 minutes
p Charts - Part 2•5 minutes
p Charts - Part 3•8 minutes
np Charts - Part 1•4 minutes
np Charts - Part 2•5 minutes
np Charts - Part 3•10 minutes
c Charts - Part 1•5 minutes
c Charts - Part 2•4 minutes
c Charts - Part 3•4 minutes
u Charts - Part 1•4 minutes
u Charts - Part 2•6 minutes
1 assignment•Total 30 minutes
Attribute / Discrete Control Charts•30 minutes
1 discussion prompt•Total 10 minutes
Attribute / Discrete Control Charts•10 minutes
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Build toward a degree
This course is part of the following degree program(s) offered by University of Colorado Boulder. If you are admitted and enroll, your completed coursework may count toward your degree learning and your progress can transfer with you.¹
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Build toward a degree
This course is part of the following degree program(s) offered by University of Colorado Boulder. If you are admitted and enroll, your completed coursework may count toward your degree learning and your progress can transfer with you.¹
¹Successful application and enrollment are required. Eligibility requirements apply. Each institution determines the number of credits recognized by completing this content that may count towards degree requirements, considering any existing credits you may have. Click on a specific course for more information.
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Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.