Statistics for Engineers

ChE 4C3 and 6C3

© Kevin Dunn, 2016

kevin.dunn@mcmaster.ca

http://learnche.mcmaster.ca/4C3

Overall revision number: 155 (January 2016)

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Copyright, sharing, and attribution notice

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I to share - to copy, distribute and transmit the work, includingprint it

I to adapt - but you must distribute the new result under thesame or similar license to this one

I commercialize - you are allowed to use this work forcommercial purposes

I attribution - but you must attribute the work as follows:I “Portions of this work are the copyright of Kevin Dunn”, orI “This work is the copyright of Kevin Dunn”

(when used without modification)

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We appreciate:

I if you let us know about any errors in the slides

I any suggestions to improve the notes

All of the above can be done by writing to

kevin.dunn@mcmaster.ca

or anonymous messages can be sent to Kevin Dunn at

http://learnche.mcmaster.ca/feedback-questions

If reporting errors/updates, please quote the current revision number: 155

Please note that all material is provided “as-is” and no liability willbe accepted for your usage of the material.

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Data visualization section

I Data ink

I Clear, concise plots are critical to help you with the message

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Univariate section

I Histograms

I Normal distribution and q-q plot

I Central limit theorem

I External vs internal methods to test for differences

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Least squares

I ANOVA table interpretation

I Standard errors

I Confidence intervals

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Least squares

Model

y = b1x1 + b2x2

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Least squares

I Example of integer and continuous variables

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Design and analysis of experimentsI Doing it wrong:

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Design and analysis of experimentsI Factorial model: is a local approximation

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Design and analysis of experiments

I DOE models are just least squares models:

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Design and analysis of experimentsI Use the trade-off table: please bring copy to the final exam

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Design and analysis of experiments

Model is only valid in alocal region

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Process monitoring

I Shewhart charts

I CUSUM charts

I EWMA charts

I Cpk: width of process operation

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University education is changing in different ways

You are thefirst group atMcMaster toexperiencethis style ofonlinecourse.

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This course is also evolving: differences each year

I 2010: Response surface methods competition

I 2011: Take-home tests

I 2012: Electronic assignment/project submissions

I 2013: Electronic tests/quizzes

I 2014: Peer evaluation of the course project

I 2015: Online/video learning

I appreciate your comments and feedback.Please fill in your course evaluations: https://evals.mcmaster.ca

An extra course evaluation will be available for 4C3/6C3specifically about the online components.

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Final exam

I Friday, 24 April, 09:00, IWC-1 (please confirm)

I 3 hours

I Covers all topics taught throughout the semester

I Counts 40% of the course grade

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Final exam: how to do well

I This is a course that gives you a set of tools

I Think about the question’s objective; choose the mostappropriate tool

I Think about the results: what do they mean?I Do not just plug in values into equations

I Check if they are reasonable.

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Final exam: some strategies

I Do the hardest and highest weighted questions first

I Short quick questions at the end

I Don’t repeat the question back to me

I Use bullet points, where appropriate

I Answer length should be appropriate to number of marks

I Read the questions carefully: “[2] Calculate and interpret..”

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Final exam: more strategies

Copies of previous exam questions are on the course site

I 2010, 2011, 2012, 2013, and 2014 final exams available onwebsite

I Solutions to most questions are in PID textbook, or in theassignments

http://yint.org/practice-problems

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Finally ...

I If you have any corrections to the notes (grammar, spelling,etc) - please don’t hesitate to email me

I Any suggestions to improve the notes gratefully accepted

I The course website will be permanently available

http://learnche.mcmaster.ca/4C3

Process Improvement using Data

http://learnche.mcmaster.ca/pid

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Finally ...

I I’d like to hear about your successes with these methods

I Also any issues and problems in using these tools

I Feel free to email meI Stay in contact:

I http://ca.linkedin.com/in/kgdunn

I Thanks for your interest, your questions, your DoE projects,and enthusiasm with tackling an online delivered course.

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