Classic Quiz
Quiz Sciences

Quiz Design Of Experiments

1 517 played - 12 yrs ago

Questions about what we've learned so far.

 

Hard QUIZ 30 QUESTIONS
hard
medium
 
Question 1 / 30

We can use use ANOVA to test the equality of two or more means.

hard
 
Question 2 / 30

What is meant by a replication of an experiment?

hard
 
Question 3 / 30
Does the picture below suggest that we have a significant result for differences between treatments.

Does the picture below suggest that we have a significant result for differences between treatments.

medium
 
Question 4 / 30

In a completely randomized experiment all of the runs are made in random order.

expert
 
Question 5 / 30

Why randomize the application of treatments in the first place?

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Question 6 / 30

In a fixed effect experiments, the treatments are chosen at random.

hard
 
Question 7 / 30
The basic anova identity is shown below.

The basic anova identity is shown below.

expert
 
Question 8 / 30
Which is the correct value for the expected value of the mean square of the error?

Which is the correct value for the expected value of the mean square of the error?

hard
 
Question 9 / 30

If the F-statistic in a single-factor ANOVA is significant this indicates that all of the means being compared are different.

medium
 
Question 10 / 30
According to the data given below, what is the value of the F statistic?

According to the data given below, what is the value of the F statistic?

hard
 
Question 11 / 30
In the picture below, does it seem that the results of the should be significant or not? That is, does it seem that at least one of the treatment means is different from the others?

In the picture below, does it seem that the results of the should be significant or not? That is, does it seem that at least one of the treatment means is different from the others?

medium
 
Question 12 / 30
In the single-factor ANOVA model, the mean of treatment i is the sum of the grand mean and the ith treatment effect. Is the picture below correct?

In the single-factor ANOVA model, the mean of treatment i is the sum of the grand mean and the ith treatment effect. Is the picture below correct?

hard
 
Question 13 / 30
In the picture below, what exactly is the factor and what are the treatment levels and the response?

In the picture below, what exactly is the factor and what are the treatment levels and the response?

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Question 14 / 30
In the picture below, we see one one replicate of the experiment highlited.

In the picture below, we see one one replicate of the experiment highlited.

hard
 
Question 15 / 30
In the picture below, we see one full replicate of the experiment highlited

In the picture below, we see one full replicate of the experiment highlited

expert
 
Question 16 / 30
In the picture, how many runs are in the red box? How many deviations from this treatment mean? How many degrees of freedom for error under this treatment?

In the picture, how many runs are in the red box? How many deviations from this treatment mean? How many degrees of freedom for error under this treatment?

hard
 
Question 17 / 30

In the picture on the left, we see 3 runs under level 1 of the factor. This means there is a mean and consequently 2 degrees of freedom for error with respect to this mean. We have 4 all together.

hard
 
Question 18 / 30
In the picture we see 6 data points, and 1 grand mean. This means we can calculate 5 deviations from this mean the 6 is forced by the values of the first 5. So we have only 5 degrees of freedom.

In the picture we see 6 data points, and 1 grand mean. This means we can calculate 5 deviations from this mean the 6 is forced by the values of the first 5. So we have only 5 degrees of freedom.

hard
 
Question 19 / 30

Is the picture shown on the left correct or incorrent?

hard
 
Question 20 / 30
In the table below, if I increase n, what happens to the number of dots in a scatter diagram at every treatment level? Do the dots increase in number vertically or horizontally?

In the table below, if I increase n, what happens to the number of dots in a scatter diagram at every treatment level? Do the dots increase in number vertically or horizontally?

expert
 
Question 21 / 30
If I increase a in the table below, what will happen to the number of dots in a scatter diagram? Will the increase come from adding dots vertically at every level or horizontally WITH new levels?

If I increase a in the table below, what will happen to the number of dots in a scatter diagram? Will the increase come from adding dots vertically at every level or horizontally WITH new levels?

expert
 
Question 22 / 30
Which picture, the left or right, shows the correct groupings in terms of the definition of a replicate of an experiment?

Which picture, the left or right, shows the correct groupings in terms of the definition of a replicate of an experiment?

expert
 
Question 23 / 30

If in the table below, I increase n, will the degrees of freedom for error increase or decrease? Is the total variabiilty in the data affected? Are the degrees of freedom for treatments affected?

hard
 
Question 24 / 30

In the table below, if we change the number of dots in the scatter diagram per level from let's, say, 3 to 5, which of the following will happen?

hard
 
Question 25 / 30

If in the picture below, I change the number of levels from, let's say 2 to 3, what will happen ?

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Question 26 / 30
Below is a correctly completed table for one factor randomized experiment.

Below is a correctly completed table for one factor randomized experiment.

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Question 27 / 30
Below is a correctly completed table for a one factor randomized experiment with blocking.

Below is a correctly completed table for a one factor randomized experiment with blocking.

hard
 
Question 28 / 30

Why is repeated measures given the name it's given?

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Question 29 / 30

If we have 2 factors and two levels per factors, what kind of experiment is this?

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Question 30 / 30

If we have 2^3 experiment, what does this mean and we run 10 replicates, what's the result?

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