Quiz 5-6

A detailed illustration of statistical concepts related to design of experiments, featuring graphs, interaction plots, and factorial designs, in a professional and educational style.

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

25 Questions6 MinutesCreated by AnalyzingData753

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 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

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

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

Quiz 5-6

Design of Experiments Quiz

More Quizzes