Your professor gives you a population of freshmen students at UCLA, and asks you to compute a 99% pivotal Cl for their mean high school GPAS. What would you do?
a. I would ask a classmate and do whatever they tell me to
b. Cls make sense when we have samples and not the whole population. This is an absurd task and I would respectfully let my professor know that this is not reasonable
c. I would respectfully do what my professor wants because want an A in this class
d. I would use the bootstrap resampling with replacement of the population 10,000 times and compute a pivotal 99% Cl from the histogram of such mean GPAS
Suppose a posterior probability was 0.05 for a COVID test. What would be your conclusion?
O c. If you had a positive antibody test for COVID, there is a 5% chance that you actually had COVID
O b. Every 5th person has COVID and you are one of them
O a. If you had a 5% chance of testing positive, you will have COVID
Compute a posterior probability of you having the COVID-19, i.e., P(COVID|+), given that you tested + to the antibody test. Assume sensitivity = specificity = 90% and prevalence as you computed inQ29.
O a. 0.0625O b. 0.026367O c. 0.03967O d. 0.0397O e. 0.0497O f. 0.00587
Drag and drop the various terms into the correct boxes to compute the posterior probability of you having the COVID-19.
Suppose there are 115,192 confirmed COVID-19 cases in California with a population of 39.5 million people, what is the prevalence?
O a. 3%O b. 33.333%O c. 3 out of every 1000 peopled. 3 out of every 100 people
Which of the following is/are synonymous with P(COVID-19)?
O a. PrevalenceO b. Specificityc. 1- SpecificityO d. Sensitivity
Which of the following is/are synonymous with P(+ | COVID-19)?
O d. 1- Specificity
Which of the following is/are synonymous with posterior probability, also known as the positive predictive value? Select all that apply.Note: Wrong answers result in 50% points deduction on this question. Please choose wisely.
O b. Sensitivity
O c. Bayesian probability
d. Conditional probability, P(COVID-19 | +)
As you must know, an alpha cutoff of 0.2 is unheard of. In which of the following circumstances would you accept such a high alpha due to high social cost of a false negative (despite the increase in likelihood of false positives due to high alpha)?
O c.Convicting a person accused of shoplifting
O b. Diagnosis of colon cancer
Hiring a fraudulent real estate agentO a.
O d. Diagnosis of engine failure
O e.Detecting saltiness in seafood
Why do you use nested for-loops when you compute power using the bootstrap approach?
O d. This is how we create a phantom world
O aThe inner loop computes a p-value, while the outer loop simulates a number of phantom studies
O b. To compute power twice and make sure it is done correctly!
O c. To enable simulation of n^n studies so we have a high power study
Which of the following is/are true statement(s) about the power of a study? Select all that apply.Note: Wrong selection results in points deduction on this question. Please choose wisely
O d. Given an effect size, increasing the variability of samples increases power
O a.Given an effect size, increasing the sample size increases power
O b. Given an effect size, increasing alpha cutoff increases power
c. Power is invariant to the magnitude of effect size for a given alpha cutoff and sample size
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