Statistics for EngineeringCourse wrap-up

Kevin Dunn

Copyright, and all rights reserved, Kevin Dunn, 2011kevin.dunn@connectmv.com

April 2011

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Univariate section

I Histograms

2

Univariate section

I Normal distribution and q-q plot

3

Univariate section

I When you have plenty of reference data

4

Univariate section

I Tests for differences

5

Process monitoring

I General example:

I Cpk: width of process operation

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Least squares

I Nonparametric modelling

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Least squares

I Objective function

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Least squares

Modely = b1x1 + b2x2

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Least squares

I Example of integer and continuous variables

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Least squares

I Analyzing the model

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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: bring a copy of it to the exam

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Design and analysis of experiments

Model is only valid in alocal region

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Final exam

I Monday, 18 April, starts at 14:00, IWC 3

I 3 hours

I (Probably?) out of 100 marks

I Counts 45% of the course grade

I Office hoursI 15 April, 14:00 to 17:00 in JHE 342 (will confirm on website)I Very infrequent access to email on 16 and 17 April

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Final exam: how to do well

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

I Often multiple ways to answer a question

I Think about the objective; choose the most appropriate tool

I Think about the results: what do they mean? are they reasonable?

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Final exam: some strategies

I Do the hardest questions and the 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 is appropriate to number of marksI Midterm: received half-page answers for 1 mark

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Final exam: more strategies

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

I Treat the exam like a closed-book exam, referring to your noteswhen necessary

I Go through previous assignments; understand the thinking requiredbehind the question, not just the mechanics of answering it

I Copies of previous exam questions are on the course siteI Questions prior to 2010 are not mineI 2010 exam is available on website

I Bring a copy of DOE table to exam

I Bring a copy of statistical tables to exam

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Final exam: content

All sections appear in the exam:

1. Visualizing data

2. Univariate statistics

3. Process monitoring

4. Least squares modelling

5. Design and analysis of experiments (DOE)

6. Latent variable methods

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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://stats4eng.connectmv.com

I The course notes will become an online book this summer

Process Improvement using Data

http://pid.connectmv.com

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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 me:I kevin.dunn@connectmv.comI dunnkg@mcmaster.ca

I Thanks for your interest, your questions, your excellent projects andassignments

I Thanks for test-driving the class notes (2nd group)

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