Question 1

In testing the null hypotheses $\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}$, the computed $F$ value is found by calculating

Accepted Answer

A)  $\frac{M S T}{M S E}$. 
B)  $\frac{M S E}{M S(T r)}$. 
C)  $\frac{M S(T r)}{M S T}$. 
D)  $\frac{M S(T r)}{M S E}$. 
A)  $\frac{M S T}{M S E}$. 
B)  $\frac{M S E}{M S(T r)}$. 
C)  $\frac{M S(T r)}{M S T}$. 
D)  $\frac{M S(T r)}{M S E}$.

Question 2

In a complete-block design, in terms of squares, $S S E=$ __________.

Accepted Answer

The answer of In a complete-block design, in terms of...

Question 3

A new all-purpose cleaner is placed in four different locations in a supermarket. We would like to evaluate whether there is a significant difference in the number of cans sold with regard to location. The sample data below gives the number of cans sold in randomly selected supermarkets during a one-week period.
   a. Complete the one-way ANOVA table.
b. Test whether there is a significant difference in sales of the all-purpose cleaner with regard to location. Use $\alpha=0.01$.

Accepted Answer

a.
 @#IMG-DLM& b. @#LAT-DLM&, so reject

Question 4

A marketing researcher wants to evaluate the success (based on resulting sales) of three different marketing strategies (I, II, III) employing three different media (radio, television, and newspapers) in three different cities: Chicago, New York, and Los Angeles.
   Analyze this Latin Square using the 0.05 level of significance for each test.

Accepted Answer

(I) @#LAT-DLM&; (II) @#LAT-DLM&; (III) @#LAT-DLM&. For all t

Question 5

The __________ sum of squares measures the variation between samples.

Accepted Answer

The answer of The __________ sum of squares measures the...

Question 6

In a one-factor ANOVA having three treatment levels with five observations in each sample, the within-samples degrees of freedom equals

Accepted Answer

A)  2 . 
B)  4 . 
C)  12 . 
D)  10 
A)  2 . 
B)  4 . 
C)  12 . 
D)  10

Question 7

In a one-way analysis of variance, the null hypothesis is rejected if the obtained $F$ value is greater than the tabled $F$ value.

Accepted Answer

A) True 
 B)False

Question 8

Find $F_{0.01}$ for 4 treatments, 3 elements per sample.

Accepted Answer

The answer of Find $F_{0.01}$ for 4 treatments, 3 elements...

Question 9

The degrees of freedom for error in a two-way ANOVA equals

Accepted Answer

A)  $k(n-1)$. 
B)  $(k-1)(n-1)$. 
C)  $(k-1) n$. 
D)  $k-1$. 
A)  $k(n-1)$. 
B)  $(k-1)(n-1)$. 
C)  $(k-1) n$. 
D)  $k-1$.

Question 10

In a one-way ANOVA, in terms of other sums of squares, $S S E=$ __________.

Accepted Answer

The answer of In a one-way ANOVA, in terms of...

Question 11

The ratio which evaluates the significance of an extraneous variable in an analysis of variance is

Accepted Answer

A)  $\frac{M S T}{M S E}$. 
B)  $\frac{M S(T r)}{M S E}$. 
C)  $\frac{M S(T r)}{M S T}$. 
D)  $\frac{M S B}{M S E}$. 
A)  $\frac{M S T}{M S E}$. 
B)  $\frac{M S(T r)}{M S E}$. 
C)  $\frac{M S(T r)}{M S T}$. 
D)  $\frac{M S B}{M S E}$.

Question 12

If each kind of treatment appears with each kind of treatment once within the same block, the design is referred to as the __________ design.

Accepted Answer

A)  Latin square 
B)  complete factorial 
C)  randomized block 
D)  balanced incomplete block 
A)  Latin square 
B)  complete factorial 
C)  randomized block 
D)  balanced incomplete block

Question 13

If the null hypothesis in a one-way ANOVA is true, the between-samples variation is probably __________ the within-samples variation.

Accepted Answer

A)  close to 
B)  significantly larger than 
C)  significantly smaller than 
D)  significantly different from (more or less) 
A)  close to 
B)  significantly larger than 
C)  significantly smaller than 
D)  significantly different from (more or less)

Question 14

Find $F_{0.05}$ if the degrees of freedom for treatments is 4 and the degrees of freedom for error is 12.

Accepted Answer

The answer of Find $F_{0.05}$ if the degrees of freedom...

Question 15

In a Latin Square experiment, there are always __________ factors.

Accepted Answer

The answer of In a Latin Square experiment, there are...

Question 16

What is the complete-block experiment?

Accepted Answer

It is an experiment with two variables,

Question 17

Find $F_{0.05}$ for 4 treatments, 3 elements per sample.

Accepted Answer

The answer of Find $F_{0.05}$ for 4 treatments, 3 elements...

Question 18

A two-factor ANOVA is being used to evaluate two null hypotheses. The first factor has 5 levels and the second has 4 levels.
The following data are obtained: $S S A=60, S S B=24, S S T=124$.
a. Construct the ANOVA table
b. The two null hypotheses of equal means are tested at $\alpha=0.05$. What are the conclusions?

Accepted Answer

a.
 @#IMG-DLM& b. (A) @#LAT-DLM&. Reject

Question 19

The formula for SST in a two-factor experiment is the same as for a complete-block experiment.

Accepted Answer

A) True 
 B)False

Question 20

A Latin Square experiment is an example of a complete factorial experiment.

Accepted Answer

A) True 
 B)False

In testing the null hypotheses $\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}$ , the computed $F$ value is found by calculating

In a complete-block design, in terms of squares, $S S E=$ __________.

The __________ sum of squares measures the variation between samples.

In a one-factor ANOVA having three treatment levels with five observations in each sample, the within-samples degrees of freedom equals

In a one-way analysis of variance, the null hypothesis is rejected if the obtained $F$ value is greater than the tabled $F$ value.

Find $F_{0.01}$ for 4 treatments, 3 elements per sample.

The degrees of freedom for error in a two-way ANOVA equals

In a one-way ANOVA, in terms of other sums of squares, $S S E=$ __________.

The ratio which evaluates the significance of an extraneous variable in an analysis of variance is

If each kind of treatment appears with each kind of treatment once within the same block, the design is referred to as the __________ design.

If the null hypothesis in a one-way ANOVA is true, the between-samples variation is probably __________ the within-samples variation.

Find $F_{0.05}$ if the degrees of freedom for treatments is 4 and the degrees of freedom for error is 12.

In a Latin Square experiment, there are always __________ factors.

What is the complete-block experiment?

Find $F_{0.05}$ for 4 treatments, 3 elements per sample.

The formula for SST in a two-factor experiment is the same as for a complete-block experiment.

A Latin Square experiment is an example of a complete factorial experiment.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

The Normal Distribution

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Regression

Correlation

Nonparametric Tests

Filters

Exam 15: Analysis of Variance

In testing the null hypotheses μ1=μ2=μ3=μ4\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}μ1​=μ2​=μ3​=μ4​ , the computed FFF value is found by calculating

In a complete-block design, in terms of squares, SSE=S S E=SSE= __________.

The __________ sum of squares measures the variation between samples.

In a one-factor ANOVA having three treatment levels with five observations in each sample, the within-samples degrees of freedom equals

In a one-way analysis of variance, the null hypothesis is rejected if the obtained FFF value is greater than the tabled FFF value.

Find F0.01F_{0.01}F0.01​ for 4 treatments, 3 elements per sample.

The degrees of freedom for error in a two-way ANOVA equals

In a one-way ANOVA, in terms of other sums of squares, SSE=S S E=SSE= __________.

The ratio which evaluates the significance of an extraneous variable in an analysis of variance is

If each kind of treatment appears with each kind of treatment once within the same block, the design is referred to as the __________ design.

If the null hypothesis in a one-way ANOVA is true, the between-samples variation is probably __________ the within-samples variation.

Find F0.05F_{0.05}F0.05​ if the degrees of freedom for treatments is 4 and the degrees of freedom for error is 12.

In a Latin Square experiment, there are always __________ factors.

What is the complete-block experiment?

Find F0.05F_{0.05}F0.05​ for 4 treatments, 3 elements per sample.

The formula for SST in a two-factor experiment is the same as for a complete-block experiment.

A Latin Square experiment is an example of a complete factorial experiment.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

The Normal Distribution

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Regression

Correlation

Nonparametric Tests

Filters

In testing the null hypotheses $\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}$ , the computed $F$ value is found by calculating

In a complete-block design, in terms of squares, $S S E=$ __________.

In a one-way analysis of variance, the null hypothesis is rejected if the obtained $F$ value is greater than the tabled $F$ value.

Find $F_{0.01}$ for 4 treatments, 3 elements per sample.

In a one-way ANOVA, in terms of other sums of squares, $S S E=$ __________.

Find $F_{0.05}$ if the degrees of freedom for treatments is 4 and the degrees of freedom for error is 12.

Find $F_{0.05}$ for 4 treatments, 3 elements per sample.