| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İM206 | Statistical Process Control in Engineering Processes | Elective | 1 | 2 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| The purpose of this course is to use the statistical methods in quality control and improvement. |
| Name of Lecturer(s) |
| Prof. Dr. Metin UÇURUM |
| Learning Outcomes |
| 1 | Students will learn the basic statistical methods. | | 2 | Students will learn the statistical quality control methods. | | 3 | Students will learn the applications of the statistical quality control methods to the data. | | 4 | Students will learn to draw quality control charts. | | 5 | Students will learn minimum one software to make quality control applications. |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Describing Variation : The frequency distribution and histogram. The stem and leaf plot. The box plot. Probability distributions: Important discrete distributions; The hypergeometric , Binomial, Poisson, Pascal and related distributions. Important continuous distributions; The normal distribution. The central limit theorem. The Exponential, Gamma, Weilbull distributions and approximations among the distributions. Chance and assignable causes of quality variation. Statistical basis of the control chart. Choice of control limits. Sample size and sampling frequency. Rational subgroups. Analysis of patterns on control charts. Check sheet. Pareto chart. Cause and effect diagram. Defect concentration diagram. Scatter diagram. The control chart for fraction nonconforming: The p-and up-control chart. The operating –characteristic function and average run length .Control charts for nonconformities(defects):The c and u charts. The standardized control chart. Demerit systems. The operating-characteristic function. Control charts for variables: Control charts for and R. Estimating process capability. Control limits, specification limits, and natural tolerance limits. Guidelines for the design of the control chart. Charts based on standard values. The operating-characteristic function. The average run lengths for the x chart. Control charts for and s. The s2 control chart. The cumulative-sum control chart (cusum).The one-sided cusum. A tabular cusum. The exponential weighted moving-average control chart(EWMA).Statistical process control for short production runs. Modified and acceptance control charts. Multivariate quality control. Process-capability analysis using a histogram: a probability plot, a control chart or designed experiments. Economic design of control charts. Process and quality improvement with designed experiments. |
| Weekly Detailed Course Contents |
|
| 1 | History of Statistical Quality Control. Basic concepts. | | | | 2 | The importance of statistical process control. Statistical basics of the control chart. | | | | 3 | The control chart for fraction nonconforming, the np control chart and applications. The operating-characteristic function and average run length. | | | | 4 | Basic probability distributions used in quality control. Binomial, hypergeometric, geometric, negative binomial distributions used in modeling the defect rate. | | | | 5 | Continuous distributions used in quality control. Normal, exponential, gamma and Weibull distributions. | | | | 6 | Sampling distributions. Population average and population defective rate distributions. Central limit theorem. Interval estimation for population average and population defective rate. Hypothesis tests. | | | | 7 | Sampling distribution of the difference between two means and the difference of two proportions. Interval estimation and hypothesis testing | | | | 8 | Midterm | | | | 9 | Type 1 and Type 2 errors. The power of the test. | | | | 10 | Nonconformity fraction (p) control diagram, np control diagram and applications. Operating characteristic function and average working length | | | | 11 | x mean and R control charts. Process adequacy estimation. Control limits, specification limits and natural tolerance limits | | | | 12 | Varying sample size in x mean and R charts. Standard-valued graphics. and explanation of R graphics. Operating characteristic function. Average run length for the chart. | | | | 13 | Control charts and applications for x mean and S. | | | | 14 | Case Studies | | | | 15 | Case Studies | | |
|
| Recommended or Required Reading |
| DOUGLAS C. MONTGOMERY, Introduction to Statistical Quality Control, Arizona State University
Tayfun Özdemir, İstatistiki süreç kontrolü Ders notu |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 30 | | End Of Term (or Year) Learning Activities | 70 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 3 | 3 |
| Final Examination | 1 | 3 | 3 |
| Attending Lectures | 14 | 3 | 42 |
| Team/Group Work | 14 | 7 | 98 |
| Individual Study for Mid term Examination | 1 | 11 | 11 |
| Individual Study for Final Examination | 1 | 11 | 11 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 4 | 3 | 2 | 5 | 1 | 3 | 2 | 4 | 5 | 3 | 2 | 3 | | LO2 | 4 | 3 | 2 | 5 | 1 | 3 | 2 | 4 | 5 | 3 | 2 | 3 | | LO3 | 4 | 3 | 2 | 5 | 1 | 3 | 2 | 4 | 5 | 3 | 2 | 3 | | LO4 | 4 | 3 | 2 | 5 | 1 | 3 | 2 | 4 | 5 | 3 | 2 | 3 | | LO5 | 4 | 3 | 2 | 5 | 1 | 3 | 2 | 5 | 5 | 3 | 2 | 3 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
 |
| |