02 - ENGR 201 Evaluation Presentation of Experimental Data...

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1 1 ENGR 201 Spring 2011 Lecture 2 ENGR 201 Evaluation & Presentation of Experimental Data Lecture 2: Statistical Measurement Theory part 1 5 April 2011 T. Chmielewski, Electrical & Computer Engineering D. Miller, Mechanical Engineering & Mechanics Drexel University 2 ENGR 201 Spring 2011 Lecture 2 Announcements Quiz 1 will be on line this Thursday at 5:00PM thru Friday 5:00 PM. You will have 50 minutes to complete it. The coverage is homework 1. Remember this is independent work. Check BbVista for more details. There is lab this week, please review the lab instructions before attending your lab session. Download EXCEL files for lab.

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2 3 ENGR 201 Spring 2011 Lecture 2 Focus: Chapter 4 Probability and Statistics Sections to Cover (over two weeks) 4.1 Intro 4.2 Statistical Measurement Theory 4.3 Infinite Statistics 4.4 Finite Statistics 4.5 Chi-Squared Distribution 4.6 Regression Analysis 4.7 Criterion for Rejecting Data Points 4.8 Number of Measurements Required 4 ENGR 201 Spring 2011 Lecture 2 Homework and Readings for Week 2 Read textbook sections 4.1 - 4.3 Work through all of the author’s examples, the lecture uses different examples to get you even more exposure to the topics Problems from text: 4.3, 4.5, 4.6, 4.9 Run the Probability-density.vi and Running-histogram.vi from the textbook’s Student Companion Site. You won’t turn this in, but it is both to reinforce the chapter material and get you more experience using LabVIEW. Lab 2 is heavily LabVIEW-related. Check BbVista for additional material and information
3 5 ENGR 201 Spring 2011 Lecture 2 Intro to Statistics There is a randomness in experimental measurements that lends to interpretation using statistics Errors Systematic - these we can adjust to (deterministic) Random - the same system measuring the same measurand will not always produce the same result Contributions Measurement System: resolution and repeatability Measurement Procedure and Technique: repeatability Measured Variable: temporal variation, spatial variation 6 ENGR 201 Spring 2011 Lecture 2 Intro to Statistics Chapter 4 introduces concepts from probability and statistics that will help you make good engineering decisions Reduce raw data into useful results Locate bad data points Determine how many measurements are needed for a given precision Some of the material covered should be familiar Mean and standard deviation Linear regression

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4 7 ENGR 201 Spring 2011 Lecture 2 Motivation In your first lab you will be measuring the diameter of a set of about 10 ball bearings You could imagine this as a handful of parts that you pulled out of a crate of thousands of bearings 8 ENGR 201 Spring 2011 Lecture 2 Motivation After we measure these 10 parts we will be able to quantify: A single representative value that best characterizes the average of the data set A representative value that provides a measure of the variation in the measured data set However what we really want to know is how well the average
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This note was uploaded on 05/18/2011 for the course ENGR 201 taught by Professor Miller during the Spring '08 term at Drexel.

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02 - ENGR 201 Evaluation Presentation of Experimental Data...

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