Assignment Task
PUBHBIO6210 - Data Collection - CPH Biostatistics Students - Stata Output - Statistics Assignment Help
- We are interested in using our data to estimate the relationship between age and distance that a student lives from campus in the following target population: all graduate students taking a CPH biostatistics class (online or in-person); call this population “CPH biostatistics students.” For the purposes of this analysis and all other analyses required for this exam, we will treat this sample of 102 students as a random sample from this population. Start by summarizing these two variables by completing the table below. You do not have to provide Stata output.
- Describe what you know about the shape of the distributions of age and distance from OSU campus based on the summary statistics in the table above.
- Do you think the distribution of age and distance from campus in our sample is representative of our target population? Briefly explain your answer.
- Create a scatterplot that has age on the X-axis and distance from OSU on the Y-axis, and paste this scatterplot below. Describe what (if any) pattern you see.
- Perform the appropriate hypothesis test to test for an association between age and distance from OSU and include Stata output for the test. Write a one sentence summary of your conclusion and include the p-value. You do not have to write out all the steps of the test. Use α = 0.05.
- Use your results from the previous question to calculate the predicted distance from campus for a student who is 22 years old.
- Based on this model, what is the estimated difference in distance from campus between someone who is 30 years old and someone who is 22 years old. Clearly indicate who has the larger distance from campus.
- What proportion of the variability in distance from campus is explained by age?
- The survey you completed earlier in the semester asked about the number of texts sent in an average day. Do the texting habits of female CPH biostatistics students differ from the habits of male CPH biostatistics students? To begin investigating possible differences in texting habits, create side-by-side boxplots showing the distribution of text messages separately for males and females. (Note: you have seen the necessary Stata code in a lecture.) Paste the boxplot below. Briefly describe what you see in the plots, specifically as it relates to comparing males and females.
- Calculate and report the mean of the number of text messages in an average day separately for males and females and report them here. (Note: again, you have seen this code in a lecture.) Include Stata output to show where you got your answers.
- Is there evidence that the mean number of text messages in an average day is significantly different for male and female CPH biostatistics students? Perform the appropriate test and include Stata output for the test. Write a one sentence summary of your conclusion and include the p-value. You do not have to write out all the steps of the test. Use α = 0.05.
- Report the 95% confidence interval for the difference in text message means between males and females (be sure to be clear about the order of your subtraction), and explain how it relates to the result of your hypothesis test in the previous problem (question #11).
- The OSU Office of the Chief Information Officer (CIO) would like to know what proportion of students in CPH biostatistics classes prefers Windows (as opposed to Macintosh). What is the estimate of the proportion of students who prefer Windows? Include Stata output to show where you got your answer.
- The Office of the CIO would also like to know if the percentage of students who prefer Windows differs significantly from 50%. Perform the appropriate hypothesis test and include Stata output for the test. Write a one sentence summary of your conclusion and include the p-value. You do not have to write out all the steps of the test. Note: in order to perform Stata command covered in class, you need to convert the variable os to a 0/1 variable. You can use the following command to do this: generate windows = 2-os. The new variable windows = 1 if student prefers Windows, = 0 if prefers Macintosh.
- Yet another question of interest to the Office of the CIO is if the proportion of men who prefer Windows differs from the proportion of women who prefer Windows. As a first step towards answering this question, calculate the percentage of men that prefers Windows and the percentage of women that prefers Windows. Include Stata output to show where you got your answers.
- Compute the following measures of association between sex and preferring Windows and interpret each quantity:
a.) Risk Difference
b.) Relative Risk
c.) Odds Ratio
- Do we have evidence of a difference in how likely men and women are to prefer Windows? Perform the appropriate test and include Stata output for the test. Write a one sentence summary of your conclusion and include the p-value. You do not have to write out all the steps of the test. Use α = 0.05.
- You were asked about your anxiety level toward studying biostatistics on a 0-100 scale. Report the mean and standard deviation of the anxiety score for our class. Include Stata output to show where you got your answers.
- Suppose that next fall I will recruit students from the online and in-person sections of 6210 to answer the following question: is the mean anxiety level toward studying biostatistics equal to 50 (out of 100)? How many students will I need to recruit in order to have 80% power at a two-sided type I error rate of 0.05? Use your standard deviation from question 18 as the value of σ and μ_a = 60. If you hand calculate the sample size, show your work. If you use Stata, include the output.
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