ANOVA, Chi-Square Tests, and Regression Complete the following problems within this Word document. Do not submit other files. Show your work for problem sets that require calculations. Ensure that your answer to each problem is clearly visible. You may want to highlight your answer or use a different type color to set it apart. ANOVA Problem Set 4.1: Critical Value Criterion: Explain the relationship between k and power based on calculated k values. Instructions: Read the following and answer the questions.  Work through the following and write down what you see in the F- table. This will help familiarize you with the table.  The F- table: The degrees of freedom for the numerator ( k − 1) are across the columns; the degrees of freedom for the denominator ( N − k ) are across the rows in the table. A separate table is included for a .05 and .01 level of significance.  Increasing the levels of the independent variable ( k ): Suppose we have a sample size of 24 participants ( N = 24). Record the critical values given the following values for k : .05 .01 k   = 2 k   = 4 k   = 6 k   = 8 ___ ___ ___ ___ ___ ___ ___ ___ As k increases (from 1 to 8), does the critical value increase or decrease? Based on your answer, explain how k is related to power. Problem Set 4.2: One-way ANOVA in SPSS Criterion: Calculate an ANOVA in SPSS. Data: The following is the amount of fat (in grams) consumed in a buffet-style lunch among professional bodybuilders under conditions of high, moderate, and low stress: Stress   Levels High  Moderate Low 10 9 9 7 4 4 8 7 6 12 6 5 6 8 7 Instructions: Complete the following steps: a. Open SPSS and open a New DataSet . b. Click the Variable View tab at the bottom and enter Stress and enter Fat as the variables. Click the Values box for the Stress row and define 1 as high, 2 as medium, and 3 as low. c. Enter the data. For example, type 1 in row 1 under Stress and type 10 in row 1 under Fat . Continue typing in all the data. Please remember to change to 2 in column 1 when the stress is moderate and change to 3 in column 1 when the stress is low d. In the Toolbar , click Analyze , select Compare Means , and then select One-Way ANOVA. e. Select Fat and then click Arrow to send it over to the Dependent List box. f. Select Stress and then click Arrow to send it over to the Factor box. g. Click OK and copy and paste the output below. Problem Set 4.3: One-way ANOVA in Excel Criterion: Calculate an ANOVA in Excel. Instructions: Use the data from Problem Set 4.3 to complete the following steps: a. Open Excel to an empty sheet. b. Enter the data from Problem Set 4.3. c. In Row 1 , enter High in cell A1, Moderate in cell B1, and Low in cell B1. d. In the toolbar, click Data Analysis , select Anova: Single Factor, and click OK. e. In Input Range : $A$1:$C$6, put a check next to Lab.

1. ANOVA, Chi-Square Tests, and Regression
Complete the following problems within this Word document.
Do not submit other files. Show your work for problem sets that
require calculations. Ensure that your answer to each problem is
clearly visible. You may want to highlight your answer or use a
different type color to set it apart.
ANOVA
Problem Set 4.1: Critical Value
Criterion:
Explain the relationship between
k
and power based on calculated
k
values.
Instructions:
Read the following and answer the questions.
Work through the following and write down what you see in the
F-
table. This will help familiarize you with the table.
The
F-
table: The degrees of freedom for the numerator (
k
− 1) are across the columns; the degrees of freedom for the
denominator (
N

2. −
k
) are across the rows in the table. A separate table is included
for a .05 and .01 level of significance.
Increasing the levels of the independent variable (
k
):
Suppose we have a sample size of 24 participants (
N
= 24). Record the critical values given the following values for
k
:
.05
.01
k
= 2
k
= 4
k
= 6
k
= 8

3. ___
___
___
___
___
___
___
___
As
k
increases (from 1 to 8), does the critical value increase or
decrease? Based on your answer, explain how
k
is related to power.
Problem Set 4.2: One-way ANOVA in SPSS
Criterion:
Calculate an ANOVA in SPSS.
Data:
The following is the amount of fat (in grams) consumed in a
buffet-style lunch among professional bodybuilders under
conditions of high, moderate, and low stress:

4. Stress Levels
High
Moderate
Low
10
9
9
7
4
4

5. 8
7
6
12
6
5
6
8
7
Instructions:
Complete the following steps:
a. Open SPSS and open a
New DataSet
.
b. Click the

6. Variable View
tab at the bottom and enter
Stress
and enter
Fat
as the variables. Click the
Values
box for the
Stress
row and define 1 as high, 2 as medium, and 3 as low.
c. Enter the data. For example, type 1 in row 1 under
Stress
and type 10 in row 1 under
Fat
. Continue typing in all the data. Please remember to change to
2 in column 1 when the stress is moderate and change to 3 in
column 1 when the stress is low
d. In the
Toolbar
, click
Analyze
, select
Compare Means
, and then select
One-Way ANOVA.
e. Select
Fat
and then click
Arrow
to send it over to the
Dependent List
box.

7. f. Select
Stress
and then click
Arrow
to send it over to the
Factor
box.
g. Click
OK
and copy and paste the output below.
Problem Set 4.3: One-way ANOVA in Excel
Criterion:
Calculate an ANOVA in Excel.
Instructions:
Use the data from Problem Set 4.3 to complete the following
steps:
a. Open
Excel
to an empty sheet.
b. Enter the data from
Problem Set 4.3.
c. In
Row 1
, enter High in cell A1, Moderate in cell B1, and Low in cell
B1.
d. In the toolbar, click
Data Analysis
, select

8. Anova: Single Factor,
and click
OK.
e. In
Input Range
: $A$1:$C$6, put a check next to
Labels in First Row
, click
OK.
f. Results will appear in a new sheet to the left; copy and paste
the input below.
Problem Set 4.4: One-way ANOVA Results in APA Style
Criterion:
Report ANOVA results in APA format.
Data:
Use the results from Problem Set 4.4.
Instructions:
Complete the following:
a. State the null hypothesis.
___________________________________
b. Report your results in APA format (as you might see them
reported in a journal article).
___________________________________
Problem Set 4.5: Interpret ANOVA Results
Criterion:
Interpret the results of an ANOVA.

9. Instructions:
Read the following and answer the question.
Data:
Life satisfaction among sport coaches.
Drakou, Kambitsis, Charachousou, and Tzetzis (2006) tested
differences in life satisfaction among sport coaches. They tested
differences by sex, age, marital status, and education. The
results of each test in the following table are similar to the way
in which the data were given in their article.
Independent Variables
Life Satisfaction
M
SD
F
p
Sex

10. 0.68
.409
Men
3.99
0.51
Women
3.94
0.49
Age
3.04
.029

11. 20s
3.85
0.42
30s
4.03
0.52
40s
3.97
0.57
50s

12. 4.02
0.50
Marital status
12.46
.000
Single
3.85
0.48
Married
4.10
0.50

13. Divorced
4.00
0.35
Education
0.82
.536
High school
3.92
0.48
Postsecondary
3.85

14. 0.54
University degree
4.00
0.51
Masters
4.00
0.59
1. Which factors were significant at a .05 level of significance?
_____________________
State the number of levels for each factor.
____________________________________
Problem Set 4.6: Tukey HSD Test in SPSS
Criterion:
Calculate post hoc analyses in SPSS.
Data:
Use SPSS data from Problem Set 4.3.

15. Instructions:
Complete the following steps:
a. In the
Toolbar
, click
Analyze
, select
Compare Means
, and then select
One-Way ANOVA
.
b. Select
Fat
then click
Arrow
to send it over to the
Dependent List
box.
c. Select
Stress
, then click
Arrow
to send it over to the
Factor
box.
d. Click
Post Hoc
and then check the box
Tukey
. Click
Continue

16. .
e. Click
OK
and copy and paste the output to the Word document.
Problem Set 4.7: Tukey HSD Interpretation
Criterion:
Interpret Tukey HSD results from SPSS output.
Data:
Use your output from Problem Set 4.6.
Instructions:
Identify where significant differences exist at the .05 level
between the stress levels.
Chi-Square Tests
Problem Set 4.8: Critical Values
Criterion:
Explain changes in critical value based on calculations.
Instructions:
Read the following and answer the questions.
The chi-square table
. The degrees of freedom for a given test are listed in the
column to the far left; the level of significance is listed in the
top row to the right. These are the only two values you need to
find the critical values for a chi-square test.
Work through the following exercise and write down what you
see in the chi-square table. This will help familiarize you with

17. the table.
Increasing
k
and a in the chi-square table:
1. Record the critical values for a chi-square test, given the
following values for
k
at each level of significance:
.10
.05
.01
k
= 10
___
___
___

18. k
= 16
___
___
___
k
= 22
___
___
___
k
= 30
___

19. ___
___
Note: Because there is only one
k
given, assume this is a goodness-of-fit test and compute the
degrees of freedom as (
k
− 1).
2. As the level of significance increases (from .01 to .10), does
the critical value increase or decrease? Explain.
___________________________________
3. As
k
increases (from 10 to 30), does the critical value increase or
decrease? Explain your answer as it relates to the test statistic.
___________________________________
Problem Set 4.9: Parametric Tests
Criterion:
Identify parametric tests.
Instructions:
Based on the scale of measurement for the data, identify if a
test is parametric or nonparametric.
A researcher measures the proportion of schizophrenic
patients born in each season.
___________________________________

20. A researcher measures the average age that schizophrenia is
diagnosed among male and female patients.
___________________________________
A researcher tests whether frequency of Internet use and
social interaction are independent.
___________________________________
A researcher measures the amount of time (in seconds) that a
group of teenagers uses the Internet for school-related and
non-school-related purposes.
___________________________________
Problem Set 4.10: Chi-Square Analysis in SPSS
Criterion:
Use SPSS for a chi-square analysis.
Data:
Tandy’s Ice Cream shop serves chocolate, vanilla, and
strawberry ice cream. Tandy wants to plan for the future years.
She knows that on average she expects to purchase 100 cases of
chocolate, 75 cases of vanilla, and 25 cases of strawberry
(4:3:1). This year, the ice cream sales increased, and she
purchased 133 cases of chocolate, 82 cases of vanilla, and 33
cases of strawberry.
Instructions:
Complete the following steps:
a. Open SPSS and create a
New DataSet
.

21. b. Go to the
Variable View
tab and type
Flavor
in the first row and
Frequency
in the second row. Adjust the decimal value to 0. Go to
Values
in the
Flavor
row and enter
1
for chocolate,
2
for vanilla, and
3
for strawberry and click
OK
.
c. Go to the
Data View
tab and under the
Flavor
column, enter
1
in row 1,
2
in row 2, and
3
in row 3. Under the frequency column, enter
133
in row 1,
82
in row 2, and
33

22. in row 3.
d. In the
Toolbar
, click
Data
, then select
Weight Cases.
e. Select
Weight Cases By
, select
Frequency
, and then click
Arrow
to send it over to the
Frequency Variable
box. Click
OK
.
f. In the
Toolbar
, click
Analyze
, then
Nonparametric Tests
, then
Legacy Dialogs
, and then
Chi-Square
.
g. Select
Flavor
and then click

23. Arrow
to send to the
Test Variable List
.
h. Under
Expected Values
, select
Values
and then enter the following three values in the order: 100, 75,
and 25.
i. Click
OK
and copy and paste the output to the Word document.
j. Answer this: Was Tandy’s distribution of proportions the
same as expected?
Regression
Problem Set 4.11: Analysis of Regression in SPSS
Criterion:
Use SPSS to complete an analysis of regression.
Data:
X
(Age in Years)
Y
(Life Satisfaction)

24. 18
6
18
8
26
7
28
5
32
9

25. 19
8
21
5
20
6
25
7
42
9
Instructions:

26. Complete the following steps.
a. Open SPSS and create a
New DataSet
.
b. Go to the
Variable View
tab and type X in the name column, then enter Y in the column
below it.
c. Go to
Data View
and enter the data from the table above.
d. Go to the
tool bar
, click
Analyze,
select
Regression,
then select
Linear.
e. Select
Y
and then click the
Arrow
to send to
Dependent.
f. Select
X
and the click the
Arrow
to send it to

27. Independent(s).
g. Select
Ok
. Copy and paste the output to this Word document.
Problem Set 4.12: Analysis of Regression in Excel
Criterion:
Use Excel to complete an analysis of regression.
Data:
Use the data from Problem Set 4.11.
Instructions:
Complete the following steps.
a. Open Excel and work in a new sheet.
b. Enter the data from the table in Problem Set 4.11. Cell A1
will be X. Cell B1 will be Y. Then, enter the data below.
c. Go to the
tool bar
, click
Data Analysi
s, and select
Regression.
d. Put a check next to
Labels
and
Confidence Level.
e. In
Input Y Range

28. : $B$1:$B$11, In
Input X Range
: $A$1:$A$11
f. Select
Ok
. Your data will appear in a new Sheet to the left.
g. Copy and paste the output to this document.
Problem Set 4.13: Identify Tests for Ordinal Data
Criterion:
Identify tests for ordinal data.
Instructions:
Read the following and answer the questions.
Identify the appropriate nonparametric test for each of the
following examples and explain why a nonparametric test is
appropriate.
1. A researcher measures fear as the time it takes to walk across
a presumably scary portion of campus. The times (in seconds)
that it took a sample of 12 participants were 8, 12, 15, 13, 12,
10, 6, 10, 9, 15, 50, and 52.
___________________________________
2. Two groups of participants were given 5 minutes to complete
a puzzle. The participants were told that the puzzle would be
easy. In truth, in one group, the puzzle had a solution (Group
Solution

29. ), and in the second group, the puzzle had no solution (Group
No