Quiz 5-6
Design of Experiments Quiz
Test your knowledge on the principles of Design of Experiments (DoE) with this comprehensive quiz. It covers essential concepts including interaction effects, randomization, and the hierarchical principle, making it ideal for both students and professionals.
Challenge yourself and see how well you understand:
- Theoretical foundations of DoE
- Key principles and methodologies
- Analysis of interaction effects
Which of the following statisticians laid the theoretical foundations of design of experiments?
Fisher
Deming
Cramer
According to which principle can you assume that 3rd or higher order interactions are non- active?
Hierarchical principle
Regression to the mean principle
Sparsity principle
Which of the following statements concerning the Heredity Principle is correct?
If an interaction is active (AB), then at least one of the parents (A or B) should also be active
If two parents are active (A and B), then the interaction AB should also be active
If A is found to be active, then all interactions involving A should be active (e.g., AB, AC, AD)
Which statement is correct regarding the comparison between DoE and OFAT?
DoE is more time consuming than OFAT
DoE gives less precise results than OFAT
DoE allows identify important interactions
How much is the effect of factor A is:
Effect = 2
Effect = 10
Effect = 26
How much is the effect of the interaction?
The information provided is insufficient
The interaction has null effect
There is a positive interaction
What does an effect of -10 imply?
The average outcome when the factor is present is -10
When you increase the factor from low to high the outcome decreases on average by 10
The factor should be set at low level
What can be concluded from the attached main effects plot?
Factor A has a positive effect on the outcome
The effect of factor C is unknown
Factor S has the largest effect
Which statement concerning interaction plots is correct?
You should examine both the interaction plots AS and SA as they may give different information
When the line segments of an interaction plot are parallel then you can estimate the effect as the distance between the line segments
When the line segments are parallel you can conclude that the interaction has a weak effect
Which of the following statements about the normal probability plot is correct?
If the data plotted fit a straight line you can assume that the data are normally distributed
Both axes of the NPP are logarithmic
The effects that are close to the line on the NPP correspond to active factors
Which of the following statements about the normal probability plot is incorrect?
The line drawn is a regression line aimed at minimizing the deviation of all points to the line
The line on the NPP should pass through the point (0 , 50%)
The normal probability plot is used to identify the factors that are active
Which statement concerning interactions is correct?
If there is an interaction between the main factors A and B then the main factors are said to be dependent
Under some circumstances one-factor-at-a-time experiments may uncover important interactions
If there is an interaction between the main factors A and B then the effect of A depends on the level of B
How many interaction factors are there (all orders) in a 2^5 experiment?
5
10
26
In which situation is the interaction effect 0?
Cube plot 1
Cube plot 2
Cube plot 3
97
100
105
The presence of an interaction...
Creates a curvature in the response surface
Has no effect on the shape of the response surface
Has a flattening effect on the response surface
What is the predicted outcome under the conditions: Temperature = 140 degrees, pH = 8, Water = 32,5%
62.25
68.4
82.1
An experiment should be conducted...
In the order that is most convenient to the experimenter
In the order of the design table, I.e., standard order
In random order
Randomization is important because...
It makes the conduction of the experiment less costly
It reduces the risk of confounding between noise and experimental factors
It enables the occurrence of interactions between factors
Which statement is correct regarding replications?
By taking replications, noise will be reduced
Cost considerations should not affect the decision about taking replications
By taking replications, it is possible to estimate the experimental error
Which statement concerning the number of levels is correct?
Two levels must be used always because it is not possible to test more than two levels in one experiment
The use of two levels is particularly useful in the later parts of the experiment
The use of two levels makes calculations easier
How many degrees of freedom are there in the following design?
Df=3
Df=8
Df=16
Which factors would you consider to be active?
None
D, BD, A, B, C, AD
D, DB
Which factors are active?
All factors except T, TCH
Factors C, CH, H C
Factor C
Which statement concerning confounding is correct?
Effects of experimental factors are confounded in full factorial designs
When effects are confounded it is not possible to calculate the individual effects precisely
Confounding was the spell used by Harry Potter to destroy Voldermort
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