Question 1

-Refer to ANOVA table two. In the table above, what are the respective numerator and denominator degrees of freedom (identified by asterisks)?

Accepted Answer

A)  3 and 16 
B)  4 and 15 
C)  15 and 4 
D)  16 and 3 
A)  3 and 16 
B)  4 and 15 
C)  15 and 4 
D)  16 and 3

Question 2

Which of the following are underlying assumptions in order for an ANOVA completely randomized design to be used?

Accepted Answer

A)  The ANOVA test assumes that the sampled populations are F-distributed. 
B)  The ANOVA test assumes that the sampled populations have a common variances. 
C)  The ANOVA test assumes that the samples are randomly selected from their respective populations but they need not be independent. 
D)  both A and B 
A)  The ANOVA test assumes that the sampled populations are F-distributed. 
B)  The ANOVA test assumes that the sampled populations have a common variances. 
C)  The ANOVA test assumes that the samples are randomly selected from their respective populations but they need not be independent. 
D)  both A and B

Question 3

In a one-way ANOVA, the total variation in the data across the various factor levels can be partitioned into two parts: the between-samples variation (called the sum of squares for treatments) and the within-samples variation (called the sum of squares for error).

Accepted Answer

A) True 
 B)False

Question 4

What is the primary interest when designing a randomized block experiment?

Accepted Answer

A)  to reduce the variation among blocks 
B)  to increase the between-treatments variation to more easily detect differences among the treatment means 
C)  to reduce the within-treatments variation to more easily detect differences among the treatment means 
D)  to increase the total sum of squares 
A)  to reduce the variation among blocks 
B)  to increase the between-treatments variation to more easily detect differences among the treatment means 
C)  to reduce the within-treatments variation to more easily detect differences among the treatment means 
D)  to increase the total sum of squares

Question 5

Which of the following is the distribution of the test statistic for analysis of variance?

Accepted Answer

A)  the normal distribution 
B)  the Student's t distribution 
C)  the F distribution 
D)  the binomial distribution 
A)  the normal distribution 
B)  the Student's t distribution 
C)  the F distribution 
D)  the binomial distribution

Question 6

A one-way ANOVA test is performed on three independent samples with   ,   , and   . What is the critical value obtained from the F-table for this test at the 2.5% level of significance?

Accepted Answer

A)  3.55 
B)  4.56 
C)  29.45 
D)  39.45 
A)  3.55 
B)  4.56 
C)  29.45 
D)  39.45

Question 7

Blocking is a procedure that lets extraneous factors operate during an experiment but assures:by virtue of the random selection of experimental units and their subsequent random assignment to experimental and control groups:that each treatment has an equal chance to be enhanced or handicapped by these factors.

Accepted Answer

A) True 
 B)False

Question 8

In a randomized block design of ANOVA, the sum of squares for error measures the variation of the differences among the treatment observations within blocks.

Accepted Answer

A) True 
 B)False

Question 9

-Refer to ANOVA table one. A one-way ANOVA test is applied to three independent samples having means 10, 13, and 18, respectively. If each observation in the third sample were increased by 30, how would this affect the value of the F-statistics?

Accepted Answer

A)  They would increase. 
B)  They would decrease. 
C)  They would remain unchanged. 
D)  They would increase by exactly 30. 
A)  They would increase. 
B)  They would decrease. 
C)  They would remain unchanged. 
D)  They would increase by exactly 30.

Question 10

In a randomized block design of ANOVA, how many factors are there to be analyzed?

Accepted Answer

A)  one factor 
B)  two factors 
C)  three factors 
D)  four or more factors 
A)  one factor 
B)  two factors 
C)  three factors 
D)  four or more factors

Question 11

In a one-way ANOVA, if   and a sample of size 25 is selected at random from each of the 5 populations, then which of the following is the correct critical value at

Accepted Answer

A)  z = 1.645 
B)  t = 2.1318 
C)  F = 2.45 
D)  = 9.488 
A)  z = 1.645 
B)  t = 2.1318 
C)  F = 2.45 
D)  = 9.488

Question 12

In a two-way ANOVA, where a is the number of factor A levels and b is the number of factor B levels, which of the following expressions gives the number of the degrees of freedom for the "error term"?

Accepted Answer

A)  (a - 1)(b - 1) 
B)  n - ab 
C)  (a - 1) + (b - 1) 
D)  abn + 1 
A)  (a - 1)(b - 1) 
B)  n - ab 
C)  (a - 1) + (b - 1) 
D)  abn + 1

Question 13

In the randomized block design ANOVA, which of the expressions below is equal to the sum of squares for error?

Accepted Answer

A)  Total SS - SST 
B)  Total SS - SSB 
C)  Total SS - SST - SSB 
D)  Total SS - SS(
A)  - SS(
B)  - SS(A
B)  
A)  Total SS - SST 
B)  Total SS - SSB 
C)  Total SS - SST - SSB 
D)  Total SS - SS(
A)  - SS(
B)  - SS(A
B)

Question 14

In a two-way factor ANOVA, the smallest number of replications required in any cell is two, but all cells must have the same number of replications.

Accepted Answer

A) True 
 B)False

Question 15

When the effect of a level for one factor depends on which level of another factor is present, what is the most appropriate ANOVA design to use in this situation?

Accepted Answer

A)  one-way ANOVA 
B)  two-way ANOVA 
C)  randomized block design 
D)  matched pairs design 
A)  one-way ANOVA 
B)  two-way ANOVA 
C)  randomized block design 
D)  matched pairs design

Question 16

In a one-way ANOVA, if the null hypothesis is rejected, it may still be possible that two or more of the population means are equal.

Accepted Answer

A) True 
 B)False

Question 17

A randomized block design should NOT be used when treatments and blocks both correspond to experimental factors of interest to the researcher.

Accepted Answer

A) True 
 B)False

Question 18

A professor of statistics in Simon Fraser University wants to determine whether the average starting salaries among graduates of the nine universities in British Columbia are equal. A sample of 25 recent graduates from each university was randomly taken. The appropriate critical value for the ANOVA test is obtained from the F-distribution. What are the respective numbers of degrees of freedom for this distribution?

Accepted Answer

A)  8 and 216 
B)  9 and 25 
C)  25 and 15 
D)  360 and 14 
A)  8 and 216 
B)  9 and 25 
C)  25 and 15 
D)  360 and 14

Question 19

In the two-way ANOVA, where a is the number of factor A levels, b is the number of factor B levels, and r is the number of replicates, which of the following expressions gives the formula for the number of degrees of freedom for error?

Accepted Answer

A)  (a - 1)(b - 1) 
B)  abr - 1 
C)  (a - 1)(r - 1) 
D)  ab(r - 1) 
A)  (a - 1)(b - 1) 
B)  abr - 1 
C)  (a - 1)(r - 1) 
D)  ab(r - 1)

Question 20

The equation: Total SS = SST + SSB + SSE, applies to the completely randomized design (one-way ANOVA model).

Accepted Answer

A) True 
 B)False

-Refer to ANOVA table two. In the table above, what are the respective numerator and denominator degrees of freedom (identified by asterisks)?

Which of the following are underlying assumptions in order for an ANOVA completely randomized design to be used?

In a one-way ANOVA, the total variation in the data across the various factor levels can be partitioned into two parts: the between-samples variation (called the sum of squares for treatments) and the within-samples variation (called the sum of squares for error).

What is the primary interest when designing a randomized block experiment?

Which of the following is the distribution of the test statistic for analysis of variance?

A one-way ANOVA test is performed on three independent samples with , , and . What is the critical value obtained from the F-table for this test at the 2.5% level of significance?

In a randomized block design of ANOVA, the sum of squares for error measures the variation of the differences among the treatment observations within blocks.

-Refer to ANOVA table one. A one-way ANOVA test is applied to three independent samples having means 10, 13, and 18, respectively. If each observation in the third sample were increased by 30, how would this affect the value of the F-statistics?

In a randomized block design of ANOVA, how many factors are there to be analyzed?

In a one-way ANOVA, if and a sample of size 25 is selected at random from each of the 5 populations, then which of the following is the correct critical value at

In a two-way ANOVA, where a is the number of factor A levels and b is the number of factor B levels, which of the following expressions gives the number of the degrees of freedom for the "error term"?

In the randomized block design ANOVA, which of the expressions below is equal to the sum of squares for error?

In a two-way factor ANOVA, the smallest number of replications required in any cell is two, but all cells must have the same number of replications.

When the effect of a level for one factor depends on which level of another factor is present, what is the most appropriate ANOVA design to use in this situation?

In a one-way ANOVA, if the null hypothesis is rejected, it may still be possible that two or more of the population means are equal.

A randomized block design should NOT be used when treatments and blocks both correspond to experimental factors of interest to the researcher.

In the two-way ANOVA, where a is the number of factor A levels, b is the number of factor B levels, and r is the number of replicates, which of the following expressions gives the formula for the number of degrees of freedom for error?

The equation: Total SS = SST + SSB + SSE, applies to the completely randomized design (one-way ANOVA model).

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

A: probability and Probability Distributions

B: probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

A: large-Sample Tests of Hypotheses

B: large-Sample Tests of Hypotheses

A: Inference From Small Samples

B: Inference From Small Samples

B: The Analysis of Variance

A: linear Regression and Correlation

B: linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

A:nonparametric Statistics

B:nonparametric Statistics

Filters

Exam 11: A: The Analysis of Variance

-Refer to ANOVA table two. In the table above, what are the respective numerator and denominator degrees of freedom (identified by asterisks)?

Which of the following are underlying assumptions in order for an ANOVA completely randomized design to be used?

In a one-way ANOVA, the total variation in the data across the various factor levels can be partitioned into two parts: the between-samples variation (called the sum of squares for treatments) and the within-samples variation (called the sum of squares for error).

What is the primary interest when designing a randomized block experiment?

Which of the following is the distribution of the test statistic for analysis of variance?

A one-way ANOVA test is performed on three independent samples with , , and . What is the critical value obtained from the F-table for this test at the 2.5% level of significance?

In a randomized block design of ANOVA, the sum of squares for error measures the variation of the differences among the treatment observations within blocks.

-Refer to ANOVA table one. A one-way ANOVA test is applied to three independent samples having means 10, 13, and 18, respectively. If each observation in the third sample were increased by 30, how would this affect the value of the F-statistics?

In a randomized block design of ANOVA, how many factors are there to be analyzed?

In a one-way ANOVA, if and a sample of size 25 is selected at random from each of the 5 populations, then which of the following is the correct critical value at

In a two-way ANOVA, where a is the number of factor A levels and b is the number of factor B levels, which of the following expressions gives the number of the degrees of freedom for the "error term"?

In the randomized block design ANOVA, which of the expressions below is equal to the sum of squares for error?

In a two-way factor ANOVA, the smallest number of replications required in any cell is two, but all cells must have the same number of replications.

When the effect of a level for one factor depends on which level of another factor is present, what is the most appropriate ANOVA design to use in this situation?

In a one-way ANOVA, if the null hypothesis is rejected, it may still be possible that two or more of the population means are equal.

A randomized block design should NOT be used when treatments and blocks both correspond to experimental factors of interest to the researcher.

In the two-way ANOVA, where a is the number of factor A levels, b is the number of factor B levels, and r is the number of replicates, which of the following expressions gives the formula for the number of degrees of freedom for error?

The equation: Total SS = SST + SSB + SSE, applies to the completely randomized design (one-way ANOVA model).

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

A: probability and Probability Distributions

B: probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

A: large-Sample Tests of Hypotheses

B: large-Sample Tests of Hypotheses

A: Inference From Small Samples

B: Inference From Small Samples

B: The Analysis of Variance

A: linear Regression and Correlation

B: linear Regression and Correlation

Multiple Regression Analysis

Analysis of Categorical Data

A:nonparametric Statistics

B:nonparametric Statistics

Filters