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Homework answers / question archive / PSYC-FP4700 Assessment 4 Worksheet ANOVA, Chi-Square Tests, and Regression Complete the following problems within this Word document
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.
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.
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.
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:
Criterion: Calculate an ANOVA in Excel.
Instructions: Use the data from Problem Set 4.3 to complete the following steps:
Criterion: Report ANOVA results in APA format.
Data: Use the results from Problem Set 4.4.
Instructions: Complete the following:
Criterion: Interpret the results of an ANOVA.
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 |
0.68 |
.409 |
|||
Men |
3.99 |
0.51 |
|||
Women |
3.94 |
0.49 |
|||
Age |
3.04 |
.029 |
|||
20s |
3.85 |
0.42 |
|||
30s |
4.03 |
0.52 |
|||
40s |
3.97 |
0.57 |
|||
50s |
4.02 |
0.50 |
|||
Marital status |
12.46 |
.000 |
|||
Single |
3.85 |
0.48 |
|||
Married |
4.10 |
0.50 |
|||
Divorced |
4.00 |
0.35 |
|||
Education |
0.82 |
.536 |
|||
High school |
3.92 |
0.48 |
|||
Postsecondary |
3.85 |
0.54 |
|||
University degree |
4.00 |
0.51 |
|||
Masters |
4.00 |
0.59 |
State the number of levels for each factor. ____________________________________
Criterion: Calculate post hoc analyses in SPSS.
Data: Use SPSS data from Problem Set 4.3.
Instructions: Complete the following steps:
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.
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 the table.
|
.10 |
.05 |
.01 |
k = 10 |
___ |
___ |
___ |
k = 16 |
___ |
___ |
___ |
k = 22 |
___ |
___ |
___ |
k = 30 |
___ |
___ |
___ |
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).
Criterion: Identify parametric tests.
Instructions: Based on the scale of measurement for the data, identify if a test is parametric or nonparametric.
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:
Criterion: Use SPSS to complete an analysis of regression.
Data:
X (Age in Years) |
Y (Life Satisfaction) |
18 |
6 |
18 |
8 |
26 |
7 |
28 |
5 |
32 |
9 |
19 |
8 |
21 |
5 |
20 |
6 |
25 |
7 |
42 |
9 |
Instructions: Complete the following steps.
Criterion: Use Excel to complete an analysis of regression.
Data: Use the data from Problem Set 4.11.
Instructions: Complete the following steps.
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.