What is the asymptotic distribution of estimation

Assignment Help Basic Statistics

Reference no: EM13143297

Often in medical research, more than one group is doing work in the same area and report their results separately. It is of interest to be able to combine the results of multiple trials. Suppose that researchers at UZ carry out a trial of Treatment SX for psoriasis. They treat 20 patients and observe13 successes. Meanwhile over at UM the researchers have a different trial design for the sameTreatment SX. Patients are treated until they observe 5 successes. It turns out that it takes the UM group a total erollment of 20 patients to observe 5 successes. Researchers at UZ and UM are actually no longer on speaking terms after a recent collaboration in which they could not decide on authorship for a publication. So you may con?dently assume that the trials are carried out independently. Moreover no patient is treated more than once.

(a) Let X be the number of successes at UZ. What is the distribution of X?
(b) Let Y be the number of patients enrolled at UM. What is the distribution of Y ?
(c) Provide maximum likelihood estimates of individual success rates for the two trials?
(d) Assume that the success rate of Treatment SX is identical for the two trials. Call this success rate p:Provide a maximum likelihood estimate of p. In other words how can you use maximum likelihood to combine the information from the two trials to get a single estimate of p
(e) What is the asymptotic distribution of your estimate from (d)?

Reference no: EM13143297

Questions Cloud

Explain why acid rain is so damaging to plants : Based on what we have learned this term about cell function and homeostasis, explain why acid rain is so damaging to plants, such as the radish. How is it that some plants have developed a tolerance to low pH conditions? Be sure to cite source(s) ..

What amount of interest expense should be reported : The bonds were sold for 833,760 to yield 12%. Wallace uses a calendar-year reporting period. Using the effective-interest method of amortization, what amount of interest expense should be reported for 2010?

Right of business type activities : In government wide financial statements information about fiduciary funds should be presented in a discrete column to the right of the business type activities

Compute the mean and standard deviation of damage : Compute the mean and standard deviation of the damage in any year and determine the expected value of X, E(X), and expected value of Y, E(Y).

What is the asymptotic distribution of estimation : Let X be the number of successes at UZ. What is the distribution of X? What is the asymptotic distribution of your estimate from (d)?

What is julia taxable income : In 2011, Julia is single and earns a salary of $65,000. Her allowable deductions for adjusted gross income total $1,200 and she has $4,200 of allowable itemized deductions. What is Julia’s taxable income?

What is the probability that only purple-flowered plants : A set of monohybrid crosses is like those done by Mendel. Three-fourths of the F2 plants have purple-flowers and the rest have white-flowers. If a purple plant is picked at random and selfed, what is the probability that only purple-flowered plant..

What lump sum at employment date would make him indifferent : Assuming the employee's time value of money is 9% annually, what lump sum at employment date would make him indifferent between the two options.

Explain light-voice controlling system : Light-Voice Controlling System. We are planning to design a new light-voice controlling system. The voices will basically coordinate the crossing of a road by blind people. Suppose the crossing will be operated by two coordinated systems

User Account

All Pages