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CHEE418/801. Strategies for Process Investigations Kim McAuley Fall 2012. Module 1 Outline. Why do we need to investigate process behaviour? How do we investigate process behaviour? What are we going to look at in this course? Why do we need a statistical framework anyway?
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CHEE418/801 Strategies for Process Investigations Kim McAuley Fall 2012
Module 1 Outline • Why do we need to investigate process behaviour? • How do we investigate process behaviour? • What are we going to look at in this course? • Why do we need a statistical framework anyway? • What are the roles for statistical methods? • What do I need to remember from my first statistics course? CHEE418/801 – K. McAuley
Example Twin-screw extruder for grafting functional groups on polyethylene Why graft? • Enhance product properties • Improve product value $$$ CHEE418/801 - K McAuley
Twin Screw Extruder CHEE418/801 – K. McAuley
Twin-Screw Extruder • Reactions • Free radical initiator decomposes and reacts with polymer backbone • Backbone radicals react with additive molecules to cause grafting • Side reactions • Can we find a better set of operating conditions to improve grafting efficiency? • % of additive that is grafted onto polymer • What factors could affect grafting efficiency? • How could we find out? CHEE418/801 - K. McAuley
Improving the extruder grafting efficiency • Run experiments, collect data • Now it’s time to analyze the results • Goal – identify those operating variables (factors) having a significant effect on grafting efficiency • How can we characterize the effect of operating variables on grafting efficiency? • Graphically • Quantitatively • We might want to RANK the operating variables from most effective to least, and understand the SIZE of their effects • Then what? CHEE418/801 – K. McAuley
How much variability is there in our experiments? • Can we tell this from our experimental results? • How will this variability carry through into our calculations? • How can we factor in the variability into our decisions about which operating variables are important? CHEE418/801 - K. McAuley
Why do we care about product quality? • American Society for Quality Control • totality of features and characteristics of a product or service that bear on its ability to satisfy given needs • Deming • uniformity about target • Juran • fitness for use • Taguchi • loss imparted to society from the time a product is shipped CHEE418/801 – K. McAuley
Continuous Improvement • In addition to monitoring current quality, strive to improve the quality of the process operation and product • Concerted effort involving all participants in the organization • operators, management, supervisors, unit engineers, designers, administrative support staff, … • Requires knowledge of the effects of factors influencing process and product performance CHEE418/801 - K. McAuley
The Iterative Nature of Process Investigations Identify Objectives Design Experiments Analyze Data Collect Data CHEE418/801 - K. McAuley
Why do we need statistical methods? Processes are inherently subject to variation, which appears in measurements and propogates through any computations made with the measurements Need tools that: 1) can characterize this variability 2) accommodate variability in analysis and computations CHEE418/801 – K. McAuley
Where does variability come from? CHEE418/801 - K. McAuley
What do you need to remember from your first Probability and Stats course? Characterizing Variability Patterns • random variables • probability distributions - density and distribution fns. • expected value • variance, standard deviation, mean • graphical methods - histograms, box plots • the Normal probability distribution • statistical independence CHEE418/801 – K. McAuley
What do you need to remember from your first Probability and Stats course? Estimating Characteristics from Data • the notion of a statistic with associated probability distribution • sample average, sample variance and standard devn. • Standard Normal, Chi-squared and F-distributions • degrees of freedom • linear regression Making Inferences • hypothesis tests • confidence limits • comparison against reference distribution What did you learn to make inferences about? CHEE418/801 - K. McAuley