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Unit 7 - Week 6 :
Design and Analysis Topics for Factorial and Fractional Factorial Designs
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Week 1 : Quality Engineering, Quality Function Deployment
Week 2 : Analysis of Variance
Week 3 : Introduction to Design of Experiments
Week 4 : Factorial Design
Week 5 : Factorial Design of Experiments
Week 6 : Design and Analysis Topics for Factorial and Fractional Factorial Designs
Lecture 26:
Two level Fractional Factorial Design - IV Lecture 27:
Two level Fractional
Due on 2019-03-13, 23:59 IST.
1) 1 point
2) 1 point
Assignment-06
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A major use of fractional factorials is in screening experiments—experiments in which many factors are considered and the objective is to identify those factors (if any) that have large effects.
Screening experiments are usually performed in the early stages of a project when many of the factors initially considered likely to have little or no effect on the response.
What can be said about the above statement(s)?
The statement(s) is/ are TRUE The statement(s) is/ are FALSE
The statements need further investigation before any conclusion can be provided Beyond the scope of the syllabus of this course
No, the answer is incorrect.
Score: 0
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The statement(s) is/ are TRUE
Which of the statement(s) or key idea(s) about fractional factorial design is/ are TRUE?
I. The sparsity of effects principle. When there are several variables, the system or process is likely to be driven primarily by some of the main effects and low-order interactions.
II. The projection property. Fractional factorial designs can be projected into stronger (larger) designs in the subset of significant factors.
III. Sequential experimentation. It is possible to combine the runs of two (or more) fractional factorials to construct sequentially a larger design to estimate the factor effects and interactions of interest.
I and II II and III I and III All of these
No, the answer is incorrect.
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Week 7 :Factorial and Fractional Factorial Designs Introduction to Linear Regression Models
Week 8 : Fitting Regression Models
Slides and Reading Material
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Factorial Design - V Lecture 28:
Two level Fractional Factorial Design - VI Lecture 29:
Two level Fractional Factorial Design - VII Lecture 30:
Additional Design and Analysis Topics for Factorial and Fractional Factorial Designs - I Quiz : Assignment-06 Assignment- 06-(Solution) Total Quality Management - II : Feedback For Week 6
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6) 1 point
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All of these
Consider a situation in which three factors, each at two levels, are of interest, but the
experimenters cannot afford to run all 2^3=8 treatment combinations. They can, however, afford four runs. This suggests a one-half fraction of a 2^3 design. Because the design contains 2^(n-1) treatment combinations, a one-half fraction of the 2^n design is often called a _________design.
Sequential Factorial Design One half Fraction Design Semi Fraction Design Quarter Fractional Design No, the answer is incorrect.
Score: 0
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One half Fraction Design
A 2^k fractional factorial design containing 2^(k-p) runs is called a
2^(p-k) fractional factorial design 1/{2^p} fractional factorial design 2^(k-p) fractional factorial design 1/{2^(k-p)} fractional factorial design No, the answer is incorrect.
Score: 0
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2^(k-p) fractional factorial design
Identify the Design Resolution based on the summary given below:
I. Are excellent for initial screening: to separate out the important factors from the many potential factors.
II. To identify important variables that can be studied in the next experiments.
III. Main effects are not confounded with each other.
IV. Main effects are aliased with two-factor interactions (3−1=2).
V. Two-factor interactions are aliased with main effects (3−2=1).
Resolution III designs Resolution IV designs Resolution V designs Resolution VI designs No, the answer is incorrect.
Score: 0
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Resolution III designs
Identify the Design Resolution based on the summary given below:
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and the interactions.
II. Interactions are very interesting in many systems since they go beyond just the main effects and can improve your process even more (or sometimes take away from it too!).
III. Main effects are not confounded with each other.
IV. Main effects are not aliased with two-factor interactions either (4−1=3).
V. Main effects are aliased with three-factor interactions though (4−1=3).
VI. Two-factor interactions are still aliased with each other though (4−2=2).
Resolution III designs Resolution IV designs Resolution V designs Resolution VI designs No, the answer is incorrect.
Score: 0
Accepted Answers:
Resolution IV designs
Identify the Design Resolution based on the summary given below:
I. For optimizing a process, learning about complex effects, and developing high-accuracy predictive models.
II. Main effects are not confounded with each other.
III. Main effects are not aliased with two-factor interactions.
IV. Two-factor interactions are not aliased with each other either.
V. But two-factor interactions are aliased with three-factor interactions (5−2=3).
Resolution III designs Resolution IV designs Resolution V designs Resolution VI designs No, the answer is incorrect.
Score: 0
Accepted Answers:
Resolution V designs
Answer Q.No. 08 – 10 based on the information given below:
Factors related to the shrinkage of plastic film, produced in an injection molding device, are being investigated. The following factors have been identified by the engineer responsible:
(i) mold temperature (ii) moisture content (iii) holding pressure (iv) cavity thickness (v) booster pressure (vi) cycle time (vii) gate size
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10) 1 point
How many experiments would have been required for a full factorial experiment?
256 128 64 32
No, the answer is incorrect.
Score: 0
Accepted Answers:
128
What type of fractional factorial experiment has been discussed (i.e. is it a half fraction, quarter fraction etc)?
1/2 1/4 1/8 1/16
No, the answer is incorrect.
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1/16
What is the resolution of this design?
Resolution III designs Resolution IV designs Resolution V designs None of these No, the answer is incorrect.
Score: 0
Accepted Answers:
