Butler Community College |
Melissa
Hartman |

Business, Technology and
Workforce Develpment |
1991 |

Statistical Process Control

Course
Outline

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

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

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

I. INTRODUCTION

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

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

- Contemporary Applications of Statistics
- Evolution of the American Quality Movement
- Concepts of Total Quality Management

At the completion of
this unit, the student will be able to:

- Identify how statistics are utilized in modern society.
- Explain how statistics influence society, and the dangers associated with that influence.
- Explain the origins and evolution of the quality movement in America.
- Explain how statistical tools can be utilized by producers of goods and services.
- 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.

This unit will introduce the student to descriptive statistics and the tools commonly used in

the summarization of data.

- Definition and Domain of Descriptive Statistics
- Basic Statistical Tools
- Graphical Representation of Data
- Guidelines for Data Collection

At the completion of
this unit, the student will be able to:

- Define and differentiate between descriptive statistics, inferential statistics and probability.
- Define common statistical terms.
- Define and differentiate between measures of central tendency, location, and variation.
- Calculate the mean, variance and standard deviation of a population and a sample.
- Develop a pareto diagram, histogram and scatter diagram.
- Discuss guidelines to consider when collecting data.
- Develop a frequency distribution.

III. PROBABILITYThis
unit will introduce the student to the concepts and applications of basic
probability.

- Properties of Probability
- Conditional and Unconditional Probability
- Permutations and Combinations
- Binomial Coefficients

At the completion of
this unit the student will be able to:

- Define common probability terms.
- Demonstrate an understanding of the properties of probability.
- Calculate simple conditional and unconditional probabilities.
- Differentiate between a permutation and a combination.
- Calculate the number of permutations and combinations for a specified number of objects.
- 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.

- Concepts of Probability Distributions
- Expected Values and Variance
- Discrete Probability Distributions
- Continuous Probability Distributions

At the completion of
this unit the student will be able to:

- Define the terminology associated with probability distributions.
- Demonstrate an understanding of the concept of a probability distribution.
- Demonstrate an understanding of the concept of expected value and variance.
- Differentiate between discrete and continuous probability distributions, and describe applications for each.
- Demonstrate an understanding of the characteristics of discrete probability distributions.
- Demonstrate an understanding of the characteristics of continuous probability distributions.
- Demonstrate an understanding of the concepts and applications of the normal distribution.
- 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.

- Samples and Populations
- Standard Deviation
- Central Limit Theorem
- Estimating the Population Mean
- Confidence Intervals

At the completion of
this unit the student will be able to:

- Differentiate between sample and population data.
- Demonstrate an understanding of the central limit theorem.
- Utilize sample data to estimate characteristics of a population.
- Demonstrate an understanding of the concept of confidence intervals.

- STATISTICAL PROCESS CONTROL
- 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.
- Concepts of Variation
- Process Control and Process Capability
- Control Charts for Variable Data
- Control Charts for Attributes Data
- Control Charts for Individual Data

At the completion of
this unit the student will be able to:

- Define terminology associated with statistical process control.
- Demonstrate an understanding of how statistical theory is applied to control charting.
- Discuss the purposes and uses of control charts.
- Demonstrate an understanding of the concept and causes of process variation.
- Demonstrate an understanding of the concept of statistical control.
- Differentiate between control charts for attribute, variable and individual data.
- Derive and analyze control charts for attribute, variable and individual data.
- Utilize control charts to implement process improvements.
- Calculate process capability.

VI. SAMPLING

This unit will introduce the student to sampling theory and techniques.

This unit will introduce the student to sampling theory and techniques.

- Concepts of Sampling
- Sampling Terminology
- Sampling Plans

At the completion of
this unit the student will be able to:
__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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- Demonstrate an understanding of sampling concepts.
- Define sampling terminology.
- Develop a sampling plan.
- Demonstrate an understanding of the economic implementation of a sampling plan.

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.

Examinations will be administered over class material. The remaining points will be earned

through homework, exercises and class participation.

Back to the top