Use data_21 for the following tasks.
1. I want to see the relationship between “Total hours a week your partner spends on
housework” (phwwkhs) and “Total hours a week you personally spend on housework”
(hwwkhs) using correlations.
a. Set up the hypotheses.
b. Choose the appropriate correlation metric to use (use graphical methods and
numerical tests etc.).
c. Interpret the outcome of the correlation type chosen to evaluate the relationship
between the two variables. (Write a clear and complete sentence)
2. Compare the total number of years in full-or part time work (yrspdwka) between genders.
a. Set up the hypotheses.
b. Decide on which test is most appropriate for this comparison.
c. According to the output draw conclusions on whether there are significant differences
between the groups and answer your hypotheses. (Write a clear and understandable
sentence)
3. Compare the variables “Total number of years in full-or part time work” (yrspdwka) and the
“Years of full-time education completed” (eduyrs).
a. Set up the hypotheses.
b. Decide on which test is most appropriate for this comparison.
c. According to the output draw conclusions on whether there are significant
differences between the groups and answer your hypotheses. (Write a clear
and understandable sentence)
4. You would like to compare “the importance to care for nature and environment” (Variable:
impenv), “the importance to follow traditions and customs” (Variable: imptrad) and “the
importance to seek fun and things that give pleasure” (Variable: impfun).
a. Set up the hypotheses.
b. Decide on which test is most appropriate for this comparison.
c. According to the output draw conclusions on whether there are significant
differences between the groups and answer your hypotheses.
d. If there are significant differences, perform post-hoc tests and draw a conclusion.
Use data_22 for the following tasks.
5. Compare the variable “GDP per capita” (GDPCAPITA) across the three groups of the variable
“Fertility rate, total” (FERTILITY). Hint: You need to categorize FERTILITY variable into three
categories: low (fertility rate <= 2.5), Medium (fertility rate <= 4.5) and high (for else). Use the
transform option to create new variable.
a. Set up the hypotheses.
b. Decide on which test is most appropriate for this comparison.
c. According to the output draw conclusions on whether there are significant
differences between the groups and answer your hypotheses.
d. If there are significant differences, perform post-hoc tests and draw a conclusion.
6. We want to evaluate the effect of two independent variables, Fertility (the categorized one in
task 5) and Inflation (categorize it into two levels, low ( 5)) on the dependent
variable GDP per capita (GDPCAPITA).
a. Draw a design for two-way ANOVA and set up all possible hypotheses.
b. Decide whether this design is useful or not (Check the assumptions of this design).
c. Analyze the main output of this test and perform the post hoc test if needed and draw
your conclusions.
d. Do some search and find out what are the better alternatives to this model design.