# Posterior prediction: Consider a pilot study in which n1 = 15 children enrolled in special education classes were randomly selected and tested for a certain type of learning disability. In the pilot s

Posterior prediction: Consider a pilot study in which n1 = 15 childrenenrolled in special education classes were randomly selected and tested for a certain type of learning disability. In the pilot study, y1 = 2 children tested positive for the disability.a) Using a uniform prior distribution, find the posterior distribution of _, the fraction of students in special education classes who have the disability. Find the posterior mean, mode and standard deviation of _, and plot the posterior density.Researchers would like to recruit students with the disability to participate in a long-term study, but first they need to make sure they can recruit enough students. Let n2 = 278 be the number of children in special edu- cation classes in this particular school district, and let Y2 be the number of students with the disability.b) Find Pr(Y2 = y2|Y1 = 2), the posterior predictive distribution of Y2, as follows:Discuss what assumptions are needed about the joint distribution of (Y1,Y2) such that the following is true: 1 0Now plug in the forms for Pr(Y2 = y2|_) and p(_|Y1 = 2) in the above integral.Pr(Y2 = y2|Y1 = 2) =Pr(Y2 = y2|_)p(_|Y1 = 2) d_ .iii. Figure out what the above integral must be by using the calculus result discussed in Section 3.1.c) Plot the function Pr(Y2 = y2|Y1 = 2) as a function of y2. Obtain the mean and standard deviation of Y2, given Y1 = 2.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.