For each of the scenarios below: Step 1. Read the scenario and then choose a tes
ID: 3209470 • Letter: F
Question
For each of the scenarios below:
Step 1. Read the scenario and then choose a test from the list here for data analysis: (1 point)
Correlation
Single-sample t test
Dependent-means (dependent-samples) t test
Independent-means (independent-samples) t test
Analysis of variance
Chi-square for goodness of fit
Chi-square for independence
Step 2. Justify your chosen test by identifying the variable(s) in the scenario (1 point) and the type of each variable (e.g. categorical, ordinal, continuous… etc.) (1 point) that prompted you to select the test above. Relate the variable(s) to your choice clearly (.5 point)
Example:
I wonder if PE class in school is related to student’s overall physical activities after school. Specifically, the research question is: Does the after-school physical activity level differ among students from a school that doesn’t offer PE class, students from a school that offers PE as an elective, and students from a school that offers PE as a requirement.
Chosen test: Analysis of Variance
Rationale: The dependent variable is continuous so a parametric test can be performed. The independent variable is PE class type with three categories so ANOVA is chosen to compare the three groups.
A recent poll with a sample of 1000 voters show that presidential candidate A has the support of 543 of the voters while candidate B has the support of 457 voters. Research question: Does the population have a preference for candidate A or are people pretty evenly split in their support?
Chosen test:
Rationale:
A middle school is assessing the potential benefit of implementing e-readers with a large collection of electronic books in the English classroom as a replacement for the usual collection of printed books. So they designate one class as the e-book group and another class as the printed book group and then assess their performance on a test of reading comprehension after a whole semester. Research question: Does the e-book group perform differently from the printed-book group?
Chosen test:
Rationale:
A social psychologist wonders if using social media is related to the user’s satisfaction with his/her life. So he collects data from a large sample of young adults on the amount of time they spend on social media and on the satisfaction level they feel toward their own lives at present. Research question: Is there a relationship between social media usage level and life satisfaction level?
Chosen test:
Rationale:
A research team is interested in the long term effect of psychotherapy for depression after the patients have completed a three-month treatment plan. They administered a comprehensive depression scale to the patients upon completion of the psychotherapy treatment and then follow up with them 6 months later with the same comprehensive depression scale. Research question: Do the patients have significantly more depressive symptoms 6 months after the treatment compared to their condition right after the treatment period?
Chosen test:
Rationale:
Explanation / Answer
Result:
Step 1. Read the scenario and then choose a test from the list here for data analysis: (1 point)
Correlation
Single-sample t test
Dependent-means (dependent-samples) t test
Independent-means (independent-samples) t test
Analysis of variance
Chi-square for goodness of fit
Chi-square for independence
Step 2. Justify your chosen test by identifying the variable(s) in the scenario (1 point) and the type of each variable (e.g. categorical, ordinal, continuous… etc.) (1 point) that prompted you to select the test above. Relate the variable(s) to your choice clearly (.5 point)
Example:
I wonder if PE class in school is related to student’s overall physical activities after school. Specifically, the research question is: Does the after-school physical activity level differ among students from a school that doesn’t offer PE class, students from a school that offers PE as an elective, and students from a school that offers PE as a requirement.
Chosen test: Analysis of Variance
Rationale: The dependent variable is continuous so a parametric test can be performed. The independent variable is PE class type with three categories so ANOVA is chosen to compare the three groups.
A recent poll with a sample of 1000 voters show that presidential candidate A has the support of 543 of the voters while candidate B has the support of 457 voters. Research question: Does the population have a preference for candidate A or are people pretty evenly split in their support?
Chosen test: Chi-square for goodness of fit
Rationale: we compare the observed proportion to the specified proportion.
A middle school is assessing the potential benefit of implementing e-readers with a large collection of electronic books in the English classroom as a replacement for the usual collection of printed books. So they designate one class as the e-book group and another class as the printed book group and then assess their performance on a test of reading comprehension after a whole semester. Research question: Does the e-book group perform differently from the printed-book group?
Chosen test: Independent-means (independent-samples) t test
Rationale: The dependent variable is continuous so a parametric test can be performed. The independent variable is two book types.
A social psychologist wonders if using social media is related to the user’s satisfaction with his/her life. So he collects data from a large sample of young adults on the amount of time they spend on social media and on the satisfaction level they feel toward their own lives at present. Research question: Is there a relationship between social media usage level and life satisfaction level?
Chosen test: Correlation
Rationale: Amount of time spend on social media and on the satisfaction level are both continuous variables.
A research team is interested in the long term effect of psychotherapy for depression after the patients have completed a three-month treatment plan. They administered a comprehensive depression scale to the patients upon completion of the psychotherapy treatment and then follow up with them 6 months later with the same comprehensive depression scale. Research question: Do the patients have significantly more depressive symptoms 6 months after the treatment compared to their condition right after the treatment period?
Chosen test: Dependent-means (dependent-samples) t test
Rationale: The same variable, depression scale is measured before and after treatment for the same patients..
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