Question 1

$$\begin{array} { l c c } 
\text { Source } & \text { d.f. } & \text { Sum of Squares } \
\text { Model } & 3 & 213.88125 \
\text { Error } & 20 & 11.208333 \
\text { Total } & 23 & 225.0895
\end{array}$$
-Consider the above one-way ANOVA table.What is the treatment mean square?

Accepted Answer

A) 71.29375 
B) 5604 
C) 1.297 
D) 213.881 
E) 9.7

Question 2

Consider the following data from a two-factor factorial experiment.You wish to perform a two-way analysis of variance to analyze the data. $$\begin{array} { c c c c } 
& & { \text { Factor I } } \
\text { Factor II } & 1 & 2 & 3 \
1 & 4 & 8 & 5 \
& 6 & 7 & 5 \
& 5 & 5 & 6 \
& & & \
2 & 4 & 5 & 0 \
& 2 & 3 & 1 \
& 3 & 2 & 1
\end{array}$$
-What is the factor II mean square?

Accepted Answer

The answer of Consider the following data from a two-factor...

Question 3

Suppose that a teacher wants to study how four different study methods affect a student's final grade.The study method is the _____ variable.

Accepted Answer

A) biased 
B) response 
C) random 
D) unknown 
E) independent

Question 4

$$\begin{array} { l c c } 
\text { Source } & \text { d.f. } & \text { Sum of Squares } \
\text { Model } & 3 & 213.88125 \
\text { Error } & 20 & 11.208333 \
\text { Total } & 23 & 225.0895
\end{array}$$
-Suppose that you analyze data from a completely randomized experimental design using a one-way ANOVA.You find out later that the data was actually from a randomized block experimental design and use the ANOVA procedure to reanalyze the data.The SSE from your first analysis will be ______ the SSE from your second analysis.

Accepted Answer

A) equal to 
B) less than 
C) greater than 
D) Cannot be determined.

Question 5

One difference between a one-way ANOVA and a two-way ANOVA is that in a two-way ANOVA we first test for a(n)_________ effect.

Accepted Answer

A) interaction 
B) main 
C) blocking 
D) treatment 
E) side

Question 6

$$\begin{array} { l l l l l l } 
\text { Block } & 1 & 2 & 3 & 4 & 5 \
\text { Tr1 } & 2 & 1 & 2 & 3 & 2 \
\text { Tr2 } & 4 & 4 & 1 & 1 & 2.5 \
\text { TR3 } & 3 & 4 & 3 & 2 & 3 \
\text { Mean } & 2 & 3 & 3 & 2 & \text { overall mean } = 2.5
\end{array}$$
Consider the randomized block design with 4 blocks and 3 treatments (groups) given above
-What is the degrees of freedom for treatments (groups)?

Accepted Answer

The answer of \[\begin{array} { l l l l l...

Question 7

Test HS1U1B10S1U1B0: there is no difference between effects of levels of factor II at a =.05.

Accepted Answer

The answer of Test HS1U1B10S1U1B0: there is no difference between...

Question 8

Find an individual 95 percent confidence interval for
$\mu _ { 1 } - \mu _ { 2 }$ 
where $\bar { x } _ { 1 }$ 
=51.5, $\bar { x } _ { 2 }$ 
= 55.8,and MSE = 6.125.There were 4 treatments and 24 observations in total and the number of observations were equal in each group.

Accepted Answer

The answer of Find an individual 95 percent confidence interval...

Question 9

In a one-way ANOVA for a completely randomized design,all other things being held constant,as two sample treatment group means get closer further apart the probability of rejecting the null hypothesis increases.

Accepted Answer

A) True 
 B)False

Question 10

A company that fills containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 containers,we have the following data of fill measures in litres: $$\begin{array} { l l l l l } 
& \text { Machine 1 } & \text { Machine 2 } & \text { Machine 3 } & \text { Machine 4 } \
\mathrm { N } & 4 & 6 & 5 & 4 \
\bar { x } & 4.03 & 4.0017 & 3.974 & 4.005 \
\mathrm {~S} & 0.0183 & 0.0117 & 0.0182 & 0.0129
\end{array}$$ and the following partial ANOVA table (with "group" labeled as "treatment"): $$\begin{array} { l c c c c } 
\text { Source } & \text { SS } & \text { d.f. } & \text { MS } & \text { F } \
\text { Treatments } & & & 0.002359 \
\text { Errors } & & & \
\text { Total } & 0.010579 & &
\end{array}$$
-Determine the degrees of freedom for the treatment,error,and total and state the critical value of the F statistic at a= 05.

Accepted Answer

The answer of A company that fills containers of water...

Question 11

In a one-way ANOVA for a completely randomized design,all other things being held constant,as the sample treatment group means get closer to each other the probability of rejecting the null hypothesis

Accepted Answer

A) decreases. 
B) increases. 
C) stays the same. 
D) Cannot be determined.

Question 12

Consider a two-factor factorial experiment with 4 levels of factor 1,5 levels of factor 2,and 3 observations per cell.If we use a two-way ANOVA to analyze the data from this experiment,the total degrees of freedom is:

Accepted Answer

A) 21 
B) 16 
C) 59 
D) 40 
E) 12

Question 13

A sum of squares that measures the variability among the group sample means is referred to as the _______ sum of squares.

Accepted Answer

A) between-groups 
B) error 
C) interaction 
D) total 
E) block

Question 14

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 groups (treatments). $$\begin{array} { l c } 
\text { Source } & \text { SS } \
\text { Treatments } & 2,477.53 \
\text { Blocks } & 3,180.48 \
\text { Error } & 11,661.38 \
\text { Total } &
\end{array}$$
-What is the between-groups (treatment)mean square?

Accepted Answer

The answer of Consider the following partial analysis of variance...

Question 15

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 groups (treatments). $$\begin{array} { l c } 
\text { Source } & \text { SS } \
\text { Treatments } & 2,477.53 \
\text { Blocks } & 3,180.48 \
\text { Error } & 11,661.38 \
\text { Total } &
\end{array}$$
-What is the block mean square?

Accepted Answer

The answer of Consider the following partial analysis of variance...

Question 16

In an experiment,the response variable is also known as the _______ variable.

Accepted Answer

The answer of In an experiment,the response variable is also...

Question 17

Test H₀: there is no difference between group means at $\alpha$ = .05.

Accepted Answer

The answer of Test H₀: there is no difference between...

Question 18

In a one-way ANOVA for a completely randomized design with 4 groups and 15 observations per each group,the error degrees of freedom is:

Accepted Answer

A) 3 
B) 56 
C) 59 
D) 14 
E) 4

Question 19

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). $$\begin{array} { l c } 
\text { Source } & \text { Sum of Squares } \
\text { Treatments } & 15.93 \
\text { Blocks } & 42.09 \
\text { Error } & 23.84 \
\text { Total } & 81.86
\end{array}$$
-What is the mean square error?

Accepted Answer

The answer of Consider the following partial analysis of variance...

Question 20

$$\begin{array} { l c c } 
\text { Source } & \text { d.f. } & \text { Sum of Squares } \
\text { Model } & 3 & 213.88125 \
\text { Error } & 20 & 11.208333 \
\text { Total } & 23 & 225.0895
\end{array}$$
-Consider the above one-way ANOVA table.What is the mean square error?

Accepted Answer

A) 71.297 
B) 5604 
C) 1.297 
D) 213.8810 
E) 9.7

Exam 10: Experimental Design and Analysis of Variance

$\begin{array} { l c c } \text { Source } & \text { d.f. } & \text { Sum of Squares } \\\text { Model } & 3 & 213.88125 \\\text { Error } & 20 & 11.208333 \\\text { Total } & 23 & 225.0895\end{array}$ -Consider the above one-way ANOVA table.What is the treatment mean square?

Suppose that a teacher wants to study how four different study methods affect a student's final grade.The study method is the _____ variable.

One difference between a one-way ANOVA and a two-way ANOVA is that in a two-way ANOVA we first test for a(n) _________ effect.

Test H₀: there is no difference between effects of levels of factor II at a =.05.

Find an individual 95 percent confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ where $\bar { x } _ { 1 }$ =51.5, $\bar { x } _ { 2 }$ = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations in total and the number of observations were equal in each group.

In a one-way ANOVA for a completely randomized design,all other things being held constant,as two sample treatment group means get closer further apart the probability of rejecting the null hypothesis increases.

In a one-way ANOVA for a completely randomized design,all other things being held constant,as the sample treatment group means get closer to each other the probability of rejecting the null hypothesis

Consider a two-factor factorial experiment with 4 levels of factor 1,5 levels of factor 2,and 3 observations per cell.If we use a two-way ANOVA to analyze the data from this experiment,the total degrees of freedom is:

A sum of squares that measures the variability among the group sample means is referred to as the _______ sum of squares.

In an experiment,the response variable is also known as the _______ variable.

Test H₀: there is no difference between group means at $\alpha$ = .05.

In a one-way ANOVA for a completely randomized design with 4 groups and 15 observations per each group,the error degrees of freedom is:

$\begin{array} { l c c } \text { Source } & \text { d.f. } & \text { Sum of Squares } \\\text { Model } & 3 & 213.88125 \\\text { Error } & 20 & 11.208333 \\\text { Total } & 23 & 225.0895\end{array}$ -Consider the above one-way ANOVA table.What is the mean square error?

Exam 10: Experimental Design and Analysis of Variance

Suppose that a teacher wants to study how four different study methods affect a student's final grade.The study method is the _____ variable.

One difference between a one-way ANOVA and a two-way ANOVA is that in a two-way ANOVA we first test for a(n) _________ effect.

Test H0: there is no difference between effects of levels of factor II at a =.05.

In a one-way ANOVA for a completely randomized design,all other things being held constant,as two sample treatment group means get closer further apart the probability of rejecting the null hypothesis increases.

In a one-way ANOVA for a completely randomized design,all other things being held constant,as the sample treatment group means get closer to each other the probability of rejecting the null hypothesis

Consider a two-factor factorial experiment with 4 levels of factor 1,5 levels of factor 2,and 3 observations per cell.If we use a two-way ANOVA to analyze the data from this experiment,the total degrees of freedom is:

A sum of squares that measures the variability among the group sample means is referred to as the _______ sum of squares.

In an experiment,the response variable is also known as the _______ variable.

Test H0: there is no difference between group means at α\alphaα = .05.

In a one-way ANOVA for a completely randomized design with 4 groups and 15 observations per each group,the error degrees of freedom is:

Test H₀: there is no difference between effects of levels of factor II at a =.05.

Test H₀: there is no difference between group means at $\alpha$ = .05.