Question 1

To study the effects of diet plans on blood pressure, the researcher assigned 10 subjects to diet plan A, and 10 participants to diet plan B. Within each group, five of the subjects are male and five participants are female. Which of the following statement is true?

Accepted Answer

A)  Gender is nested within diet plans. 
B)  Diet plan is nested within gender. 
C)  Gender and diet plan are crossed. 
D)  Diet plan is nested within subjects.

Question 2

To study the effects of a new mathematics textbook, 30 students are randomly selected. Based on the scores of their achievement test, students are grouped into three groups (limited: 0-15, proficient: 16-30, advanced: 31-45). Half of the students in each group are then randomly assigned to use the new textbook, while the rest of the students continue to use the old textbook. Which of the following methods of blocking is employed here?

Accepted Answer

A)  Predefined value blocking 
B)  Predefined range blocking 
C)  Sampled value blocking 
D)  Sampled range blocking 
E)  Post hoc blocking method

Question 3

In the scenario as described in Question 10, suppose the instructors from the same department are randomly assigned to use either the lecture-based method or the computer-based method. The researcher is primarily interested in the effects of different instructional methods on student outcomes. Which of the following statements is correct?

Accepted Answer

A)  Instructional method is used as a blocking factor. 
B)  Department and instructional method are crossed. 
C)  Instructor is nested within department but crossed with method. 
D)  Instructor is nested within method but crossed with department.

Question 4

Azita wants to evaluate the effects of three new types of word processors (1: MacrosoftWork; 2: ToogleDoc, 3: WordTerrific) on the employees' working efficiency. 12 employees were randomly selected and grouped into four blocks based on the amount of their daily tasks (higher values indicate heavier work load). Within each block, each employee was randomly assigned to use one of the three word processors. Their working efficiency as measured by the number of files processed per day is listed in the table. Conduct a two-factor randomized block ANOVA ($\alpha$ = .05) and Bonferroni MCPs using SPSS to determine the results of the study.
 $\begin{array}{|c|c|c|c|}
\hline \text { Subject } & \text { Word Processor } & \text { Workload } & \text { Number of files processed } \
\hline 1 & 1 & 1 & 8 \
\hline 2 & 1 & 2 & 13 \
\hline 3 & 1 & 3 & 18 \
\hline 4 & 1 & 4 & 26 \
\hline 5 & 2 & 1 & 3 \
\hline 6 & 2 & 2 & 10 \
\hline 7 & 2 & 3 & 13 \
\hline 8 & 2 & 4 & 20 \
\hline 9 & 3 & 1 & 5 \
\hline 10 & 3 & 2 & 12 \
\hline 11 & 3 & 3 & 14 \
\hline 12 & 3 & 4 & 20 \
\hline
\end{array}$

Accepted Answer

The answer of Azita wants to evaluate the effects of...

Question 5

Compared to the two-factor fully-crossed ANOVA, the two-factor hierarchical ANOVA

Accepted Answer

A)  has the same model assumptions. 
B)  has the same linear model. 
C)  has the same ANOVA table. 
D)  has the same hypotheses to be tested.

Question 6

If the correlation between the concomitant variable and dependent variable is .5, and the concomitant variable is measured on an ordinal scale, which of the following designs is recommended?

Accepted Answer

A)  One-factor ANOVA 
B)  ANCOVA 
C)  Randomized block ANOVA 
D)  Either ANCOVA or randomized block ANOVA.

Question 7

How many hypotheses are tested in a design denoted by A(B)?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4

Question 8

An experiment was conducted to compare the effect of three types of daily schedules on the employees' work performance. The schedules all contained the same amount of tasks, but the tasks were listed in different orders in each schedule. The day of the week was used as the blocking variable. The mean scores on the dependent variable, the percentage of tasks completed, are listed here for each cell.
 $\begin{array}{c}
\text { Weekday }\
\begin{array}{cccccc}
\text { Type of }\
\text { schedule } & \text { Monday } & \text { Tuesday } & \text { Wednesday } & \text { Thursday } & \text { Friday } \
\hline 1 & 70 & 89 & 74 & 85 & 75 \
2 & 74 & 94 & 81 & 90 & 80 \
3 & 80 & 98 & 85 & 96 & 84 \
\hline
\end{array}\end{array}$ Use these cell means to graph the interaction between type of schedule and the day of the week. 
a. Is there an interaction between type of schedule and the day of the week?
b. What kind of recommendation would you make to the manager?

Accepted Answer

The answer of An experiment was conducted to compare the...

Question 9

If a design is denoted by A(BC), and there are four observations in each cell, which of the following effects can be studied?

Accepted Answer

A)  The A × B interaction 
B)  The A × C interaction 
C)  The B × C interaction 
D)  The A × B × C interaction 
E)  All of the above

Question 10

based on the following figure.
  Each cell represents one combination of factor levels. The actual experiment assigns participants only to the combinations represented by the shaded cells. It is unknown whether the levels of the factors are fixed or randomly selected.
-A is a random-effects factor and B is a fixed-effects factor. Each cell has 5 observations. The FB ratio has degrees of freedom equal to?

Accepted Answer

A)  2, 3 
B)  2, 10 
C)  2, 24 
D)  3, 72

Exam 16: Hierarchical and Randomized Block Analysis of Variance Models

To study the effects of diet plans on blood pressure, the researcher assigned 10 subjects to diet plan A, and 10 participants to diet plan B. Within each group, five of the subjects are male and five participants are female. Which of the following statement is true?

Compared to the two-factor fully-crossed ANOVA, the two-factor hierarchical ANOVA

If the correlation between the concomitant variable and dependent variable is .5, and the concomitant variable is measured on an ordinal scale, which of the following designs is recommended?

How many hypotheses are tested in a design denoted by A(B) ?

If a design is denoted by A(BC) , and there are four observations in each cell, which of the following effects can be studied?