The Higher Canadian Institute for Business and Engineering Technology Quality Assurance Unit Course Specification Course Name: Statistical design of experiments Course Code: IEN 436 I. Basic Course Information Program(s) on which the course is given: Industrial: Department offering the course: Mechanical Academic level: 5th level Semester in which course is offered : Varies Course pre-requisite(s): Mathematics 3 (IEN 334) Credit Hours: 3.0 Contact Hours Through: Lecture 2.0 Tutorial* 1.0 Practical* 0.0 Total 3.0 Approval date of course specification: September 2014 II. Overall Aims of Course - Introduction: Basic definitions, the effective design of an experiment, basic principles (Replication – Randomization – Local control). Analysis of variance: design with One Source of Variation, Randomizwd Block designs, (Two way classifications), the Latine – Square design, the Graeco – Latine Square design, after ANOVA Analysis. Full – Factorial Experiments: Design and analysis of full – factorial experiments, orthogonal linear contrasts, 2k Factorial Design, Blocking a replicated 2k factorial design, confounding in the 2k factorial design (two blocks – four blocks, 2p blocks, Partial confounding. Two level Fractional Factorial Design: Introduction, the one – half Fractional Factorial Design, the one – quarter fraction of the factorial design 2k design, general of the 2k – p fractional factorial design. Fitting regression model: Introduction, estimation of the parameters in linear regression models. Response Surface Methods RSM: introduction, the method of steepest ascent, design for fitting the first order model, design for fitting the second order model, blocking in response surface designs, mixture experiments. Experiments with Random Factors: introduction, the random effects model, the two factors mixed model. Nested and Split – Plot Designs: the two stage nested design, the general m – stage nested design. III. Program ILOs covered by course Program Intended Learning Outcomes (By Code) Knowledge & Intellectual Skills Professional Skills Understanding K.14 I.1 P.2 General Skills G.f 1 The Higher Canadian Institute for Business and Engineering Technology Quality Assurance Unit Course Specification IV. Intended Learning Outcomes of Course (ILOs) a. Knowledge and Understanding On completing the course, students should be able to: k. 1 The constraints within which the effective design of an experiment. b. Intellectual/Cognitive Skills On completing the course, students should be able to: i.1 Select appropriate mathematical and computer-based methods to Plot Designs: the two stage nested design, the general m – stage nested design. c. Practical/Professional Skills On completing the course, students should be able to: p.1 professionally merges the engineering knowledge, understanding Experiments with Random Factors d. General and Transferable Skills On completing the course, students should be able to: g.1 Effectively manage the method of steepest ascent, design for fitting the first order model. V. Course Matrix Contents Main Topics / Chapters 1- 2- 3- 4- 5- 6- Introduction: Basic definitions, the effective design of an experiment, basic principles (Replication – Randomization – Local control). Analysis of variance: design with One Source of Variation, Randomizwd Block designs,, (Two way classifications), the Latine – Square design, the Graeco – Latine Square design Blocking a replicated 2k factorial design, confounding in the 2k factorial design (two blocks – four blocks, 2p blocks, Partial confounding. Two level Fractional Factorial Design: Introduction, the one – half Fractional Factorial Design Two level Fractional Factorial Design: Duration (Weeks) Course ILOs Covered by Topic (By ILO Code) K&U I.S. P.S. G.S. 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 2 The Higher Canadian Institute for Business and Engineering Technology Quality Assurance Unit Course Specification 7- 8- 9- 10- 11- 12- 13- Introduction, the one – half Fractional Factorial Design, the one – quarter fraction of the factorial design 2k design, general of the 2k – p fractional factorial design. Fitting regression model: Introduction, estimation of the parameters in linear regression models. Response Surface Methods RSM: introduction, the method of steepest ascent Fitting regression model: Introduction, estimation of the parameters in linear regression models. Response Surface Methods RSM: introduction, the method of steepest ascent design for fitting the first order model, design for fitting the second order model, blocking in response surface designs, mixture experiments. design for fitting the first order model, design for fitting the second order model, blocking in response surface designs, mixture experiments. Experiments with Random Factors: introduction, the random effects model, the two factors mixed model. Nested and Split – Plot Designs: the two stage nested design, the general m – stage nested design Experiments with Random Factors: introduction, the random effects model, the two factors mixed model. Nested and Split – Plot Designs: the two stage nested design, the general m – stage nested design Experiments with Random Factors: introduction, the 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 1 K.1 I.1 P.1 G.1 3 The Higher Canadian Institute for Business and Engineering Technology Quality Assurance Unit Course Specification random effects model, the two factors mixed model. Nested and Split – Plot Designs: the two stage nested design, the general m – stage nested design Experiments with Random Factors: introduction, the random effects model, the two factors mixed model. 14Nested and Split – Plot Designs: the two stage nested design, the general m – stage nested design Net Teaching Weeks 1 K.1 I.1 P.1 G.1 14 VI. Course Weekly Detailed Topics / hours / ILOs Week No. 1 2 3 4 5 6 7 8 9 Sub-Topics Total Hours Introduction: Basic definitions, the effective design of an experiment, basic principles 2 (Replication – Randomization – Local control). Analysis of variance: design with One Source of Variation, Randomizwd Block 3 designs,, (Two way classifications), the Latine – Square design, the Graeco – Latine Square 3 design Two level Fractional Factorial Design: Introduction, the one – half Fractional 3 Factorial Design Two level Fractional Factorial Design: Introduction, the one – half Fractional Factorial Design, the one – quarter fraction 3 of the factorial design 2k design, general of the 2k – p fractional factorial design. characteristics of a good random numbers, sources of random numbers, random 3 numbers generation methods Midterm Exam Fitting regression model: Introduction, estimation of the parameters in linear regression models. Response Surface Methods RSM: introduction, the method of steepest ascent Fitting regression model: Introduction, 3 Contact Hours Theoretical Practical Hours Hours* 2 2 1 2 1 2 1 2 1 2 1 2 1 2 1 4 The Higher Canadian Institute for Business and Engineering Technology Quality Assurance Unit Course Specification 10 11 12 13 14 15 estimation of the parameters in linear regression models. Response Surface Methods RSM: introduction, the method of steepest ascent design for fitting the first order model, design for fitting the second order model, blocking in response surface designs, mixture experiments. Analyzing Input Data and tests: Goodness of fit tests, randomness test, nonparametric test implementation. Verification: Intrroduction Experiments with Random Factors: introduction, the random effects model, the two factors mixed model. Nested and Split – Plot Designs: the two stage nested design, the general m – stage nested design Experiments with Random Factors: introduction, the random effects model, the two factors mixed model. Nested and Split – Plot Designs: the two stage nested design, the general m – stage nested design Experiments with Random Factors: introduction, the random effects model, the two factors mixed model. Nested and Split – Plot Designs: the two stage nested design, the general m – stage nested design Final Exam Total Teaching Hours 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 38 26 12 Teaching/Learning Method Lectures & Seminars Tutorials Computer lab Sessions Practical lab Work Reading Materials Web-site Searches Research & Reporting Problem Solving / Problem-based Learning Projects Independent Work Group Work Selected Method VII. Teaching and Learning Methods 1 1 Course ILOs Covered by Method (By ILO Code) K&U K.1 K.1 Intellectual Skills I.1 I.1 Professional Skills P.1 P.1 General Skills G.1 G.1 1 5 The Higher Canadian Institute for Business and Engineering Technology Quality Assurance Unit Course Specification Case Studies Presentations Simulation Analysis Others (Specify): Selected Method VIII. Assessment Methods, Schedule and Grade Distribution Course ILOs Covered by Method (By ILO Code) Assessment Method K&U I.S. P.S. G.S. Midterm Exam Final Exam Quizzes Course Work Report Writing Case Study Analysis Oral Presentations Practical Group Project Individual Project 7 15 1 K.1 K.1 K.1 I.1 I.1 I.1 P.1 P.1 P.1 Assessment Weight / Percentage Week No. G.1 G.1 G.1 Others (Specify): IX. List of References Essential Text Books Course notes Recommended books Periodicals, Web sites, etc … Cox D. R. and N. Reid, The Theory of the Design of Experiments, Boca Raton, FL: Chapman and Hall/CRC, 2000. Lectures X. Facilities required for teaching and learning White Board Course coordinator: Dr. Mahmoud Head of Department: Dr .Mahmoud Mohamed Date: September 2014 6