Information Package / Course Catalogue
Variance Analysis
Course Code: EK256
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 5
Objectives of the Course

The purpose of this course is to design the experiments by using the statistical methods to obtain as much information from the results as they can.

Course Content

Experiments with a single factor and the analysis of variance. Randomized blocks, Latin Squares, and related designs. Introduction to factorial designs. The 2k factorial designs. Blocking and confounding in the 2k factorial lldesign. Two-level fractional factorial designs. Three-level and mixed-level factorial and fractional factorial designs.Factorial experiments with random factors. Nested and split-plot desings.Process optimization.

Name of Lecturer(s)
Learning Outcomes
1.Design of experimental for the different experiment conditions
2.Students will learn the experimental design methods to the data.
3.Able to Use One-way ANOVA F-test
4.Able to evaluate the assumptions of ANOVA F-test.
5.Using basic bootstrap methods
Recommended or Required Reading
1.D.C.Montgomery, Design and Analysis of Experiments, Fourth Edition, Wiley, 1997.
2.W.G.Cochran, G.M.Cox, Experimental Desings, Second Ed., Wiley,1957.
3..
Weekly Detailed Course Contents
Week 1 - Theoretical
Analysis of fixed Effects Model. Estimation of model parameters. Model adequacy checking. Transformation
Week 2 - Theoretical
Contrasts. Orthogonal contrasts. Scheffe’s method. Comparing pairs of treatment means. Comparing treatment means with a control. The random effects model.
Week 3 - Theoretical
Choice of sample size. Nonparametric methods in the analysis of variance. Analysis of covariance.
Week 4 - Theoretical
The randomized complete block design. Estimating missing values. The Latin squares design. The graeco-latin square design.Balanced incomplete block designs.
Week 5 - Theoretical
The 2^2 design. The 2^3 design. Other methods for judging the significance of effects. The general 2^k design.
Week 6 - Theoretical
A single replicate of the 2^k design. The addition of center points to the 2^k design.Yates algorithm for the 2^k design.
Week 7 - Practice
Problem solving
Week 8 - Practice
Problem solving
Week 9 - Theoretical
Fractional factorial designs
Week 10 - Theoretical
Nested design
Week 11 - Theoretical
Nested factorial design
Week 12 - Theoretical
Nested factorial design
Week 13 - Theoretical
Split-Plots design
Week 14 - Theoretical
Covariance analysis
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory115388
Lecture - Practice26318
Midterm Examination1819
Final Examination110111
TOTAL WORKLOAD (hours)126
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
OÇ-1
5
4
4
4
4
5
2
2
3
OÇ-2
3
4
4
2
5
2
2
2
2
OÇ-3
2
5
2
2
3
3
3
3
3
OÇ-4
4
2
5
5
2
2
2
2
2
OÇ-5
4
2
5
2
2
3
3
3
3
Adnan Menderes University - Information Package / Course Catalogue
2026