Overview
About: In this assignment, you will be looking at statistical output for the ANOVA. The objective is to apply your understanding of how the ANOVA and hypothesis testing works to tell us whether we have a significant relationship between our variables. You will analyze provided data and write a report explaining the populations, variables, which one is the independent and dependent variable, and the results of the ANOVA hypothesis test.
Directions: Select ONE scenarios provided after the directions and complete the following report for your scenario.
Introduction (100 words minimum)
Explain what the independent and dependent variable is in your scenario
Provide the Null and Research hypothesis as based on the two variables provided
Methods (50 words minimum)
Descriptive Statistics: describe the observable differences between the groups (in other words compare their means)
- State and briefly explain the f-statistic results (F-statistic and p-value in particular)
NOTE: YOU DO NOT HAVE TO CALCULATE ANY VALUES, ALL VALUES ARE PROVIDED IN THE STATISTICAL OUTPUT
- 3. Results (100 words minimum)
- Interpret the results by explaining where there is a statistically significant relationship or not.
Make sure to state whether we accept or reject the null hypothesis.
- Make sure to explain whether this means the two variables are statistically related or not.
4. Discussion
Provide some thoughts and considerations on why we obtained the results
- Consider at least two additional variables that can explain the results
- Clearly and fully explain how the additional variables can affect the results
Scenarios: Similar to our previous lab, here are some scenarios of various statistical outputs involving the ANOVA. Select ONE of the following to complete your assignment
ANOVA Lab Scenario 1: Days of Poor Mental Health by Religiousness
ANOVA Lab Scenario 2: Hours of TV by Level of Happiness
ANOVA Lab Scenario 3: Hours of Household Chores by Race
- ANOVA Lab Scenario 1: Days of Poor Mental Health by Religiousness
- About: In this scenario the researcher is interested in seeing if there is a difference in days of poor mental health between people of different religious levels
- The groups that were examined were: Very religious, Moderately Religious, Slightly Religious, and Not Religious at All
Here are their results!
Statistical Output Begins
Descriptive Statistics: Days of Poor Mental Health by Level of Religiousness
Level of Religiousness
- N
- Mean
- Std. Deviation
Very religious
199
2.90
6.680
Moderately religious
585
3.82
7.208
Slightly religious
463
4.50
8.166
Not religious at all
643
5.74
8.400
F-statistic Output
Type of Variation
df
Mean Square
F-statistic
Sig. Level
Between Groups
3
589.560
9.645
p < .001
Within Groups
1886
61.128
Source: General Social Survey, 2022
Directions:
1. If you decide to select this scenario, complete the instructions for lab analysis #2 based on these outputs.
2. Take a picture of the data output, copy and paste it, or keep both the scenario window open and the lab analysis assignment open
ANOVA Lab Scenario 2: Hours of TV by Level of Happiness
About: In this scenario the researcher is interested in seeing if there is a difference in hours of TV Watching per day between people of different happiness levels
The groups that were examined were:Very Happy, Somewhat Happy, Not Too Happy
Here are their results!
Statistical Output Begins
Descriptive Statistics: Days of Poor Mental Health by Level of Religiousness
Happiness Level
N
Mean Hours of TV
Standard Deviation
very happy
521
2.90
2.869
pretty happy
1358
3.48
3.504
not too happy
459
3.47
3.384
F-statistic Output
Type of Variation
df
Mean Square
F-statistic
Sig. Level
Between Groups
3
68.366
6.095
p = .002
Within Groups
1886
11.216
Source: General Social Survey, 2022
Directions:
1. If you decide to select this scenario, complete the instructions for lab analysis #2 based on these outputs.
2. Take a picture of the data output, copy and paste it, or keep both the scenario window open and the lab analysis assignment open
ANOVA Lab Scenario 3: Hours of Household Chores by Race
About: In this scenario the researcher is interested in seeing if there is a difference in hours of household chores between people of different racial groups
The groups that were examined were: White, Black, Other
Here are their results!
Statistical Output Begins
Descriptive Statistics: Days of Poor Mental Health by Level of Religiousness
Happiness Level
N
Mean Hours of Household Chores
Standard Deviation
White
804
9.90 hours
10.095
Black
184
9.66
15.488
Other
127
11.46
11.252
F-statistic Output
Type of Variation
df
Mean Square
F-statistic
Sig. Level
Between Groups
2
149.8
1.175
p = .309
Within Groups
1112
127.4
Source: General Social Survey, 2022
Directions:
1. If you decide to select this scenario, complete the instructions for lab analysis #2 based on these outputs.
2. Take a picture of the data output, copy and paste it, or keep both the scenario window open and the lab analysis assignment open