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Butler Community College 
Melissa Hartman
Business, Technology and Workforce Develpment
1991 

Statistical Process Control
Course Outline
COURSE DESCRIPTION
BA 196, Statistical Process Control, 3 credit hours. Prerequisite: One year of high school algebra or Math 060. An introductory course in the application of basic statistical concepts to achieve and maintain process control. Exploration of descriptive statistics, inferential statistics and probability will increase the student's understanding of why and how control charts work and can be applied. Emphasis will be placed on the development and application of control charts in both industrial and non-industrial environments. This course is intended for students studying liberal arts, engineering and business, and those preparing to sit for American Society of Quality Control certification examinations.

TEXTBOOK
Mark J. Kiemele and Stephen R. Schmidt. BASIC STATISTICS: Tools for Continuous Improvement. Air Academy Press, 1990.

COURSE OBJECTIVES
At the completion of this course, the student will be able to:

  1. Demonstrate an understanding of basic statistical concepts, including descriptive statistics, inferential statistics, and probability.
  2. Demonstrate an understanding of how basic statistical theory relates to the development of process control charts.
  3. Demonstrate an understanding of how control charts can be utilized to optimize industrial and non-industrial processes.
  4. Develop control charts, and utilize those charts to implement process improvements.
 

TOPICAL OUTLINE OF UNITS  

I.  INTRODUCTION
This unit will introduce the student to historical influences on quality and contemporary social applications of statistics.

  1. Contemporary Applications of Statistics
  2. Evolution of the American Quality Movement
  3. Concepts of Total Quality Management
At the completion of this unit, the student will be able to:
  1. Identify how statistics are utilized in modern society.
  2. Explain how statistics influence society, and the dangers associated with that influence.
  3. Explain the origins and evolution of the quality movement in America.
  4. Explain how statistical tools can be utilized by producers of goods and services.
  5. Explain the concepts of basic principles of Total Quality Management.
II.  DESCRIPTIVE STATISTICS
This unit will introduce the student to descriptive statistics and the tools commonly used in
the summarization of data.
  1. Definition and Domain of Descriptive Statistics
  2. Basic Statistical Tools
  3. Graphical Representation of Data
  4. Guidelines for Data Collection
At the completion of this unit, the student will be able to:
  1. Define and differentiate between descriptive statistics, inferential statistics and probability.
  2. Define common statistical terms.
  3. Define and differentiate between measures of central tendency, location, and variation.
  4. Calculate the mean, variance and standard deviation of a population and a sample.
  5. Develop a pareto diagram, histogram and scatter diagram.
  6. Discuss guidelines to consider when collecting data.
  7. Develop a frequency distribution.
III.  PROBABILITYThis unit will introduce the student to the concepts and applications of basic probability.
  1. Properties of Probability
  2. Conditional and Unconditional Probability
  3. Permutations and Combinations
  4. Binomial Coefficients
At the completion of this unit the student will be able to:
  1. Define common probability terms.
  2. Demonstrate an understanding of the properties of probability.
  3. Calculate simple conditional and unconditional probabilities.
  4. Differentiate between a permutation and a combination.
  5. Calculate the number of permutations and combinations for a specified number of objects.
  6. Demonstrate an understanding of Binomial coefficients.
IV.  PROBABILITY DISTRIBUTIONSThis unit will introduce the student to probability distributions and the utilization of probability tables to derive values associated with the various distributions. Emphasis will be placed on the normal distribution.
  1. Concepts of Probability Distributions
  2. Expected Values and Variance
  3. Discrete Probability Distributions
  4. Continuous Probability Distributions
At the completion of this unit the student will be able to:
  1. Define the terminology associated with probability distributions.
  2. Demonstrate an understanding of the concept of a probability distribution.
  3. Demonstrate an understanding of the concept of expected value and variance.
  4. Differentiate between discrete and continuous probability distributions, and describe applications for each.
  5. Demonstrate an understanding of the characteristics of discrete probability distributions.
  6. Demonstrate an understanding of the characteristics of continuous probability distributions.
  7. Demonstrate an understanding of the concepts and applications of the normal distribution.
  8. Derive values utilizing various probability tables.
V.  STATISTICAL INFERENCEThis unit will introduce the student to inferential statistics and the utilization of sample data to draw conclusions about population data.
  1. Samples and Populations
  2. Standard Deviation
  3. Central Limit Theorem
  4. Estimating the Population Mean
  5. Confidence Intervals
At the completion of this unit the student will be able to:
  1. Differentiate between sample and population data.
  2. Demonstrate an understanding of the central limit theorem.
  3. Utilize sample data to estimate characteristics of a population.
  4. Demonstrate an understanding of the concept of confidence intervals.
  1. STATISTICAL PROCESS CONTROL
  2. This unit will introduce the student to statistical process control techniques and applications. This unit is a culmination of material presented in previous units, and should be emphasized.
  3. Concepts of Variation
  4. Process Control and Process Capability
  5. Control Charts for Variable Data
  6. Control Charts for Attributes Data
  7. Control Charts for Individual Data
At the completion of this unit the student will be able to:
  1. Define terminology associated with statistical process control.
  2. Demonstrate an understanding of how statistical theory is applied to control charting.
  3. Discuss the purposes and uses of control charts.
  4. Demonstrate an understanding of the concept and causes of process variation.
  5. Demonstrate an understanding of the concept of statistical control.
  6. Differentiate between control charts for attribute, variable and individual data.
  7. Derive and analyze control charts for attribute, variable and individual data.
  8. Utilize control charts to implement process improvements.
  9. Calculate process capability.
VI. SAMPLING
This unit will introduce the student to sampling theory and techniques.
  1. Concepts of Sampling
  2. Sampling Terminology
  3. Sampling Plans
At the completion of this unit the student will be able to:
  1. Demonstrate an understanding of sampling concepts.
  2. Define sampling terminology.
  3. Develop a sampling plan.
  4. Demonstrate an understanding of the economic implementation of a sampling plan.
METHODS OF INSTRUCTION
Lecture, readings and discussion will be utilized to introduce the student to the basic process
control concepts. An emphasis will be placed on practical problem-solving. Exercises,
homework, and examinations will allow the student to apply knowledge gained in the readings
and classroom sessions.

METHODS OF EVALUATION
Examinations will be administered over class material. The remaining points will be earned
through homework, exercises and class participation.

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