Deck 14: Experimental Designonline Only

Question 1

In a factorial experiment, all possible treatment combinations of the various levels of the factors under study are examined.

Answer 1

True

Question 2

In an observational study, information from a population of interest is gathered without any attempt on the part of those conducting the study to influence the population or to intervene in any way.

Answer 2

True

Question 3

Blocking is a way to reduce or eliminate within-groups variation.

Answer 3

True

Question 4

A factorial design allows us to examine potentially important interactions among the independent variables.

Question 5

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 5 treatment groups, 16 blocks.The treatments F value (Fstat) turns out to be 6.253.In determining the p-value for this result, you should use df1 = 4 and df2 = 15.

Question 6

The independent variables in an experimental study are called factors.

Question 7

A completely randomized design is an extension of the matched samples approach.

Question 8

In an experimental study the investigator has no ability to directly influence or manipulate any of the elements involved in the investigation.

Question 9

In an experiment using a randomized complete block design, if the p-value for F_stat is greater than the significance level of the test, we can conclude that one of more of the treatment means is different from the others.

Question 10

In an experiment using a randomized complete block design, if the p-value for F_stat is less than the significance level of the test, we can conclude that one of more of the treatment means is different from the others.

Question 11

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 3 treatment groups and 9 blocks.The treatments F value (Fstat) turns out to be 5.080.In determining the p-value for this result, you should use df1 = 2 and df2 = 16.

Question 12

In an experiment using a randomized complete block design we usually don't test to see if there are statistically significant differences between block means.

Question 13

In an experiment using a randomized complete block design, if the value of F_stat is less than the critical value of F ( F_c or F_crit) for the test, we can conclude that one of more of the treatment means is different from the others.

Question 14

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 5 treatment groups, 15 blocks.The error sum of squares (SSE) value is 2800.The mean square error (MSE) value must be 50.

Question 15

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 3 treatment groups, 8 blocks and 24 experimental units.The degrees of freedom that you should assign to the blocks sum of squares is 16.

Question 16

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 2 treatment groups, 20 blocks.The treatments F value (Fstat) turns out to be 3.662.In finding the critical F value to use in an "equal treatment means" hypothesis test here, you should use df1 = 1 and df2 = 19.

Question 17

Treatments are the various states or levels that an experimental factor can take on.

Question 18

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 4 treatment groups and 10 blocks.The degrees of freedom that you should use to compute the mean square error (MSE) is 27.

Question 19

The dependent variable in an experimental study is called a response variable.

Question 20

In a randomized complete block design, experimental units are matched according to a similarity of characteristics.

Question 21

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are two Factor A treatments, five Factor B treatments, and three replications.In finding the critical F value to use in testing the significance of the Factor A effect, you should use df1 = 1 and df2 = 20.

Question 22

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are three treatments for Factor A and four treatments for Factor B.Four replications are being used for each factor combination.The degrees of freedom that you should assign to the interaction sum of squares is 6.

Question 23

A study in which the investigator has the ability to directly influence or manipulate any of the elements involved in the investigation is called a(n)

A)observational study
B)census study
C)experimental study
D)replicated study
E)gratuitous study

Question 24

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are two treatments for Factor A and three treatments for Factor B.Two replications are being used for each factor combination.The degrees of freedom that you should use to compute the Factor B mean square value is 2.

Question 25

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 4 treatment groups and 10 blocks.The error sum of squares value is 5400.The mean square error value must be

A)122.22
B)540
C)1800
D)135
E)200

Question 26

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are two Factor A treatments, four Factor B treatments, and three replications.The interaction sum of squares value turns out to be 6000.The interaction mean square value must be 750.

Question 27

The various states or levels that an experimental factor can take on are called

A)x factors
B)y factors
C)repetitions
D)treatments
E)experimental units

Question 28

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are two Factor A treatments, five Factor B treatments, and two replications.The F value (Fstat) for Factor B turns out to be 4.662.In determining the p-value for this result, you should use df1 = 4 and df2 = 10.

Question 29

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 4 treatment groups and 6 blocks.The number of experimental units is

A)15
B)10
C)18
D)24
E)36

Question 30

The dependent variable in an experimental study is called a(n)

A)x variable
B)index variable
C)extraneous factor
D)dummy factor
E)response variable

Question 31

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are three treatments for Factor A and four treatments for Factor B.Two replications are being used for each factor combination.The degrees of freedom that you should use to compute the mean square error (MSE) value is 12.

Question 32

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 5 treatment groups, 9 blocks.The degrees of freedom that you should assign to the error sum of squares is

A)45
B)32
C)14
D)24
E)12

Question 33

An experimental design that represents an extension of the matched samples idea is a(n)

A)completely randomized design
B)randomized block design
C)factorial design
D)observational design
E)graphic design

Question 34

The independent variables in an experimental study are called

A)factors
B)objectives
C)y variables
D)treatments
E)extraneous variables

Question 35

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 3 treatment groups and 12 blocks.The error sum of squares value is 4400.The mean square error value must be

A)122.22
B)200
C)146.67
D)440
E)400

Question 36

A study in which information from a population of interest is gathered without any attempt on the part of those conducting the study to influence the population or to intervene in any way is called a(n)

A)statistical study
B)experimental study
C)hands-free study
D)longitudinal study
E)observational study

Question 37

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are three treatments for Factor A and five treatments for Factor B.Two replications are being used for each factor combination.Total sample size must be 15.

Question 38

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are three treatments for Factor A and four treatments for Factor B.Two replications are being used for each factor combination.The degrees of freedom that you should assign to the error sum of squares is 12.

Question 39

In a randomized complete block design, we routinely test whether the effect of one factor on the response variable depends on the level of another factor.

Question 40

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are two Factor A treatments, five Factor B treatments, and two replications.The p-value for Factor B turns out to be .026.If the significance level for the test is set at 5%, we can conclude that the Factor B be effect is not statistically significant.

Question 41

An experimental design that allows us to examine potentially important interactions among the independent variables is a(n)

A)repetitious design
B)block design
C)factorial design
D)interactive design
E)none of the above

Question 42

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 5 treatment groups and 6 blocks.If the significance level for the F test you will use to test for a difference in treatment means is 5%, the critical F value (Fc or Fcrit) for the test is

A)2.534
B)2.866
C)2.690
D)2.711
E)4.431

Question 43

In a factorial experiment,

A)all possible treatment combinations of the various levels of the factors under study are examined.
B)we can test for interactions
C)we can examine the role of multiple factors
D)we can establish whether a factor effect is statistically significant
E)all of the above

Question 44

Below is some of the ANOVA information for an experiment using a randomized complete block design.In the experiment, there are three treatment groups and nine blocks.Report the indicated critical F value if the significance level for the test is set at 5%.

A)15.303
B)3.634
C)11.726
D)6.240
E)2.115

Question 45

In a two-factor factorial experiment, there are four treatments for Factor A and five treatments for Factor B.Two replications are being used for each factor combination.Total sample size here

A)20
B)24
C)60
D)12
E)40

Question 46

Below is some of the ANOVA information for an experiment using a randomized complete block design.In the experiment, there are two treatment groups and five blocks.Report the indicated F value in the partially completed ANOVA table.

A)2.565
B)1.291
C)60
D)12
E)6.456

Question 47

Below are the results from an experiment using a randomized complete block design. Part of the ANOVA table for the results is shown below:
Report the treatments sum of squares here.

A)776
B)632
C)388
D)316
E)none of the above

Question 48

Below are the results from an experiment using a randomized complete block design. Part of the ANOVA table for the results is shown below:
Report the treatments mean square here.

A)24000
B)22050
C)36000
D)31650
E)none of the above

Question 49

Below are the results from an experiment using a randomized complete block design. Part of the ANOVA table for the results is shown below:
Report the appropriate Fstat value for the test of treatment means and your conclusion.The significance level for the test is set at 5%.

A)12.74, Reject the no difference in treatment means null hypothesis
B)7.12, Reject the no difference in treatment means null hypothesis
C)3.62, Do not reject the no difference in treatment means null hypothesis
D)5.96, Reject the no difference in treatment means null hypothesis
E)1.40, Do not reject the no difference in treatment means null hypothesis

Question 50

Testing whether the effect of one factor on the response variable depends on the level of another factor means we are testing

A)replications
B)experimental units
C)factorials
D)interactions
E)extraneous variables

Question 51

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 3 treatment groups and 8 blocks.The treatment sum of squares is 7200.The error sum of squares value is 4200.The F value (Fstat) that will be used to test the "equal treatment means" null hypothesis is

A)12.00
B)6.00
C)14.667
D)4.222
E)400.333

Question 52

Below is some of the ANOVA information for an experiment using a randomized complete block design.In the experiment, there are four treatment groups and five blocks.Report the indicated F value in the partially completed ANOVA table.

A)2.50
B)12.20
C)4.80
D)6.24
E)8.00

Question 53

You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are two treatments for Factor A and three treatments for Factor B.Two replications are being used for each factor combination.The degrees of freedom that you should assign to the Factor B sum of squares is

A)3
B)2
C)4
D)5
E)6

Question 54

Below is a partially complete ANOVA table from an experiment using a randomized complete block design.Report the appropriate Fstat to use in determining whether you can you reject the null hypothesis that there is no difference in the treatment means for the populations represented.Use a significance level of 5% and state your conclusion.

A)10.074, Reject the no difference in treatment means null hypothesis
B)8.135, Reject the no difference in treatment means null hypothesis
C)3.622, Do not reject the no difference in treatment means null hypothesis
D)4.295, Do not reject the no difference in treatment means null hypothesis
E)None of the above.

Question 55

An experimental design in which all possible treatment combinations of the various levels of the factors under study are examined is called a(n)

A)cross-tabs design
B)observational study
C)factorial design
D)block design
E)representative study

Question 56

An experimental design that allows us to examine potentially important interactions among the independent variables is a(n)

A)cross-tabs design
B)observational design
C)factorial design
D)block design
E)time series design

Question 57

Below are the results from an experiment using a randomized complete block design. Part of the ANOVA table for the results is shown below:
Report the appropriate Fstat value for the test of treatment means and your conclusion.The significance level for the test is set at 5%.

A)18.078, Reject the no difference in treatment means null hypothesis
B)2.444, Do not reject the no difference in treatment means null hypothesis
C)12.740, Reject the no difference in treatment means null hypothesis
D)3.240, Do not reject the no difference in treatment means null hypothesis
E)none of the above

Question 58

Below is some of the ANOVA information for an experiment using a randomized complete block design.In the experiment, there are four treatment groups and six blocks.The significance level for the test is set at 5%.Report the indicated F value and your conclusion.

A)4.307, Reject the no difference in treatment means null hypothesis
B)1.634, Do not reject the no difference in treatment means null hypothesis
C)11.726, Reject the no difference in treatment means null hypothesis
D)5.240, Do not reject the no difference in treatment means null hypothesis
E)none of the above

Question 59

You are filling in the ANOVA table values for an experiment using a randomized complete block design.In the experiment, there are 5 treatment groups and 9 blocks.The treatment sum of squares is 6400.The error sum of squares value is 32000.The F value (Fstat) that will be used to test the "equal treatment means" null hypothesis is

A)1.60
B)1600
C)10.00
D)3.20
E).200

Question 60

Below is some of the ANOVA information for an experiment using a randomized complete block design.In the experiment, there are four treatment groups and four blocks.The significance level for the test is set at 1%.Report the indicated F value and your conclusion.

A)7.324, Do not reject the no difference in treatment means null hypothesis
B)2.444, Reject the no difference in treatment means null hypothesis
C)9.526, Reject the no difference in treatment means null hypothesis
D)3.240, Do not reject the no difference in treatment means null hypothesis
E)none of the above

Question 61

Below is some of the ANOVA information for a two-factor factorial experiment.Compute the appropriate Fstat value and indicate whether results here show a significant interaction effect at the 5% significance level.

A)2.77; results do not show a significant interaction effect at the 5% significance level.
B)1.83; results do not show a significant interaction effect at the 5% significance level.
C)5.50; results show a significant interaction effect at the 5% significance level.
D)6.52; results show a significant interaction effect at the 5% significance level.
E)None of the above

Question 62

Below is some of the ANOVA information for a two-factor factorial experiment.Compute the appropriate Fstat value and indicate whether results here show a significant Factor B effect at the 5% significance level.

A)11.45; results show a significant Factor B effect at the 5% significance level.
B)3.26; results do not show a significant Factor B effect at the 5% significance level.
C)2.23; results do not show a significant Factor B effect at the 5% significance level.
D)8.58; results show a significant Factor B effect at the 5% significance level.
E)None of the above

Question 63

Below is some of the ANOVA information for a two-factor factorial experiment.Compute the appropriate Fstat value and indicate whether results here show a significant Factor A effect at the 5% significance level.

A)15.00; results show a significant Factor A effect at the 5% significance level.
B)3.50; results do not show a significant Factor A effect at the 5% significance level.
C)7.40; results show a significant Factor A effect at the 5% significance level.
D)2.10; results do not show a significant Factor A effect at the 5% significance level.
E)None of the above

Question 64

Below is some of the ANOVA information for a two-factor factorial experiment in which the significance level is set at 5%.Indicate which, if any, of the following conclusions are supported by the information in the table.

A)The Factor A effect is not statistically significant.
B)The interaction effect is statistically significant.
C)The Factor B effect is statistically significant.
D)The Factor B effect is not statistically significant.
E)None of the above.