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PSYC-FP4700 Assessment 4 Worksheet
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 k) are across the rows in the table. A separate
table is included for a .05 and .01 level of significance.
N=( 24-k)= 22,20,18,16
Df1=(k-1)
Df2= (n-k)
=FINV(.05 or .01,df1,df2)
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
_(4.30)__
_(3.10)_
__(2.77)_
__(2.66)_
(7.95)___
_(4.94)__
_(4.25)__
_(4.03)__
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.
From the given F table values with DF1 (k-1) and DF (n-k), where k=2,4,6,8 and n=24, we
can see that for .05nF, critical value decreases from 4.30 to 2.66 with respect to
corresponding DF’s. For .01 F, critical value decreases from 7.95 to 4.03 with respect to
corresponding DF’s. From this, we can say that as k increases, F critical value
decreases.
Power of a test is the probability of rejecting a false hypothesis that is 1- probability of
type II error, were Type II error is the event of failing to reject a false null. Now if K

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increases, F critical value decreases which makes the acceptance region of the null
smaller. If the acceptance region is smaller, it is more likely to reject the null when it is
false which means it is less likely to make a type II error. If the probability of the type II
error decreases, power will increase for the test.
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.

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PSYC-FP4700 Assessment 4 Worksheet 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. N=( 24-k)= 22,20,18,16 Df1=(k-1) Df2= (n-k) =FINV(.05 or .01,df1,df2) 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 _(4.30)__ (7.95)___ k=4 _(3.10)_ _(4.94)__ k=6 __(2.77)_ _(4.25)__ k=8 __(2.66)_ _(4.03)__ 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. From the given F table values with DF1 (k-1) and DF (n-k), where k=2,4,6,8 and n=24, we can s ...
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