Engineering Statistics

Course No. 435

(Course Outline shown below.)

For Whom Intended  An understanding of Statistics is required in the implementation of uncertainty calculations in Metrology such as: statistical and probability concepts in measurements, confidence levels and control charts etc.

Brief Course Description  This TTi course covers 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.

Certificate Programs  This course may be used as an elective for any TTi specialist certificate program.

Related Courses  A one-day version of this course is included in the four-day course 132-4, Measurement Uncertainty.

Prerequisites  There are no definite prerequisites for this course. However, prior completion of TTi Distance Learning course 103-2 "Applied Mathematics" would be helpful.

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. 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. 435

• Introduction
  • Definitions
  • Populations
  • Data Groups, Variables
  • Class Intervals
  • Frequency Distribution
  • Continuous Distributions
  • Continuous Distributions Histogram: Equal Class Size, Unequal Class Size
  • Frequency Curves
  • Cumulative Frequency Curve or Ogive
• Measures of Data Spread
  • Central Tendency
  • Arithmetic Mean
  • Median and Mode
  • Frequency Distributions
• Measures of Dispersion
  • Dispersion: Mean Deviation
  • Mean Deviation Example
  • Variance
  • Variance: Example
  • Standard Deviation
• Worked Example
  • Raw Data
  • Classes
  • Exact Class Limits
  • Frequency Distribution Graph
  • Cumulative Frequency Distribution (cf)
  • Arithmetic Mean for Grouped Data
  • Median for Grouped Data Set
  • Sample Standard Deviation of Grouped Data Set
• Probability
  • Probability Exercise
  • Random Data (Tossing Coins)
  • Expressing Probability
  • Venn Diagram
  • Rules of Addition
  • Theory of Intersection
  • Rules of Multiplication
  • Bayes Theorem
  • Hypothesis
  • Test
  • Null Hypothesis (H0)
  • Critical Region
  • Test Statistic
  • Level of Significance
• Distributions
  • Binomial Experiment
  • Binomial Population
  • Variables
  • Continuous Distribution
  • Continuous Probability Distribution
  • Normal Distribution
  • Standard Normal Distribution
  • Gaussian (s-Normal) Distribution
  • One-Tailed Test
  • Two-Tailed Test
  • Type I and II Errors
  • Statistical Significance
  • Confidence Intervals
  • Confidence Levels
  • Computing the Standard Deviation-Example
• More Distributions
  • Chi-Square Distribution
  • Binomial Distribution
  • Binomial Distribution Graph
  • Poisson Distribution
  • Student's t-Distribution
  • Table: t-Distribution
  • F-Distribution
  • Table: Critical Values for the F-test
• Correlation and Regression
  • Goodness-of-Fit Tests
  • Correlation
  • Scatter Diagram
  • Regression Analysis
  • Regression
  • Method of Least Squares
  • Linear Regression
• Summary, Final Exam
• Award of certificates for successful completion

For schedules, enrollment information and more, visit http://www.ttiedu.com.