Measurement Uncertainty with an Introduction to Engineering Statistics
Engineering
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Measurement Uncertainty
Course No. 132-4
(Course Outline shown below.)
For Whom Intended Engineers, scientists and managers. This course will be of interest to personnel involved in SPC, Metrology, Bio-medical, Aerospace, Automobile, Electronics industries and those making and understanding experimental test measurements in a wide range of other industries.
Brief Course Description Every measurement is made for a purpose: to make a judgment about something. It can be to judge the accuracy of an instrument or data, to accept or reject a product or to determine the price charged in everyday commerce. In order to have confidence that the measurement, which is actually only the best estimate of the quantity considered, is acceptable, an estimate of the uncertainty of the measurement also needs to be undertaken.
Course 132-4 starts with Part I, a one-day review of engineering statistics, covering all the usual topics in reliability and statistics and explains how the theory is applied in engineering.
In the study of basic statistics, students encounter equations which are not "user friendly." The volume of statistical formulas and the "number-crunching" has made the true learning and application of statistics difficult for most people. In this course, the actual evaluation of statistical formulas is done using programmable calculators such as the TI-82 and TI-83, which simplify the process and save hours of tedious work. This enables the student to devote more time to the overall understanding of basic statistics and applying the concepts learned.
Part II begins with an introduction to the terms associated with measurement uncertainty. Then the accuracy and limitations of statistics are discussed, with examples of the various types of distributions encountered in statistical tests.
A discussion of sources of errors and their classification into random and systematic types is followed by methods of evaluating indirect errors and calculation of various quantities.
The course covers control charts and their applicability to uncertainty before covering a step-by-step process of calculating uncertainty for a typical application.
Methods of reporting uncertainty, the uncertainty budget and applicable standards and guidelines for expressing measurement uncertainty are covered in some detail.
Successful completion of this course will enable participants to understand, evaluate and express measurement uncertainty.
Certificate Programs This course is required for TTi's Metrology Specialist Certificate (MSC) Program, and may be used as an elective for any other TTi specialist certificate program.
Related Courses A one-day version of TTi’s Course 435, Engineering Statistics (http://www.ttiedu.com/435cat.html), is the first day of this course.
Prerequisites There are no definite prerequisites for this course. However, this course is aimed toward individuals involved in a related technical field. An understanding of basic algebra will be useful.
Text Each student will receive a course workbook, including most of the viewgraphs used in the course presentation.
Course Hours, Certificate and CEUs Open courses meet seven hours per day. Upcoming presentation dates can be found on our current open course schedule (http://www.ttiedu.com/schedule.html). Class hours/days for on-site courses can vary from 14-35 hours over 2-5 days as requested by our clients. Upon successful course completion, each participant receives a certificate of completion and one Continuing Education Unit (CEU) for every ten class hours.
Course Outline No. 132-4
Part I, Engineering Statistics
Also available separately as Course 435 (http://www.ttiedu.com/435cat.html)- Introduction to Engineering Statistics
- Definitions
- Populations
- Data Groups, Variables
- Distribution
- Measures of Data Spread
- Central Tendency
- Mean, Median and Mode
- Frequency Distributions
- Measures of Dispersion
- Dispersion: Mean Deviation
- Variance
- Standard Deviation
- Worked Example
- Raw Data
- Classes, Exact Class Limits
- Frequency Distribution Graph
- Cumulative Frequency Distribution (cf)
- Arithmetic Mean and Median for Grouped Data
- Sample Standard Deviation of Grouped Data Set
- Probability
- Probability Exercise: Random Data (Tossing Coins)
- Expressing Probability
- Venn Diagram: Addition, Intersection, Multiplication
- Bayes Theorem
- Hypothesis, Test
- Null Hypothesis (H0)
- Critical Region
- Test Statistic
- Level of Significance
- Distributions
- Binomial Population
- Variables
- Continuous Probability Distribution
- Normal Distribution
- Gaussian (s-Normal) Distribution
- One-Tailed and Two-Tailed Test
- Statistical Significance
- Confidence Intervals and Levels
- Computing the Standard Deviation-Example
- Chi-Square (c2) Distribution
- Binomial, Poisson and Student's t-Distribution
- F-Distribution
- Correlation and Regression
- Goodness-of-Fit Tests
- Correlation, Scatter Diagram
- Regression Analysis
- Least Squares; Linear Regression
Part II, Measurement Uncertainty
- Basic Concepts
- Error and Uncertainty
- Determining uncertainty
- Definitions
- Definitions and application examples of terms encountered in uncertainty measurement.
- Statistical concepts in measurement
- Uncertainty: traditional versus expanded formula
- Analysis of traditional versus expanded formula for uncertainty
- Differences and common elements, including use of 2-factor
- Errors in measurement
- Classification of errors
- Random and systematic errors
- Sources of errors in measurement
- Propagation of errors
- Evaluation of indirect measurement errors
- Calculation of magnitude of measurement error
- Examples for voltage, force, pressure etc.
- Control charts
- What is a control chart?
- How to build a control chart using hand calculator vs. commercially available software
- Relationship between control charts and uncertainty
- Example of application of control charts
- Upgrading control chart data
- Control chart analysis form
- Uncertainty calculation
- Detailed step by step example
- Reporting uncertainty
- Uncertainty budget
- Assignment of values to the uncertainty components
- Requirements of uncertainty report to be attached to the calibration report.
- Uncertainty standardization and documents
- Review of applicable standards and guidelines for determining and expressing the uncertainty of measurements.
- Documents include: NIST, ANSI/NCSL Z540-2, BIPM, IEC, IFCC, ISO, IUPAC, OIML etc.
- Summary, Final Quiz
- Award of Certificates for Successful Completion
For a printable (.pdf) version of course outline no. 132, see http:/www.ttiedu.com/PDF/132cat.pdf
For schedules, enrollment information and more, visit http://www.ttiedu.com.
