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May 23, 2019
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(Solved) : Use Questions 1 4 Reality Patients Needing Organ Transplant Organs Available National Wait Q31281311 . . .

Use for Questions 1 to 4 In reality, there are more patients needing an organ transplant than there are organs available. Because of this, a national waiting list is used to orderly assign available organs to patients. Suppose a researcher records monthly the number of patients that die on the waiting list, are transplanted, or are censored (due to the end of the study). Assume that the censoring occurs exactly at the end of each month. Let D be the month that the subject would have died on the waiting list without a transplant. Let T be the month the patient would have been transplanted had they remained on the waiting list. Finally, let C be the end of the month a random patient is censored from the study. The challenge is that once a patient is censored or is transplanted we do not know the time at which they would have died on the waiting list. That is, we only get to observe min(D.T.C) and the type of event (death, transplantation, censoring). Assume throughout that P(T = tlT > t-land D > t _ 1 and C > t-1-P(T = t|T > t-land D > t-1) and P(D = tlT > t _ 1 and D > t _ 1 and C > t-1)-P(D = t[T > t-1and D > t-1) Suppose that the data were collected over the first 6 months of being on the waiting list for 1,000 patients. So Dt the number of people that die off the waiting list, · Tt = the number transplanted during a particular month, . Cr the number of people censored at the end of the month, and ne the number of people at risk during the start of the interval. Ct nt 1 50 20 50 1000media%2F368%2F368a874d-9a36-447a-b256-7cUse for Questions 1 to 4 In reality, there are more patients needing an organ transplant than there are organs available. Because of this, a national waiting list is used to orderly assign available organs to patients. Suppose a researcher records monthly the number of patients that die on the waiting list, are transplanted, or are censored (due to the end of the study). Assume that the censoring occurs exactly at the end of each month. Let D be the month that the subject would have died on the waiting list without a transplant. Let T be the month the patient would have been transplanted had they remained on the waiting list. Finally, let C be the end of the month a random patient is censored from the study. The challenge is that once a patient is censored or is transplanted we do not know the time at which they would have died on the waiting list. That is, we only get to observe min(D.T.C) and the type of event (death, transplantation, censoring). Assume throughout that P(T = tlT > t-land D > t _ 1 and C > t-1-P(T = t|T > t-land D > t-1) and P(D = tlT > t _ 1 and D > t _ 1 and C > t-1)-P(D = t[T > t-1and D > t-1) Suppose that the data were collected over the first 6 months of being on the waiting list for 1,000 patients. So Dt the number of people that die off the waiting list, · Tt = the number transplanted during a particular month, . Cr the number of people censored at the end of the month, and ne the number of people at risk during the start of the interval. Ct nt 1 50 20 50 1000 Show transcribed image text Use for Questions 1 to 4 In reality, there are more patients needing an organ transplant than there are organs available. Because of this, a national waiting list is used to orderly assign available organs to patients. Suppose a researcher records monthly the number of patients that die on the waiting list, are transplanted, or are censored (due to the end of the study). Assume that the censoring occurs exactly at the end of each month. Let D be the month that the subject would have died on the waiting list without a transplant. Let T be the month the patient would have been transplanted had they remained on the waiting list. Finally, let C be the end of the month a random patient is censored from the study. The challenge is that once a patient is censored or is transplanted we do not know the time at which they would have died on the waiting list. That is, we only get to observe min(D.T.C) and the type of event (death, transplantation, censoring). Assume throughout that P(T = tlT > t-land D > t _ 1 and C > t-1-P(T = t|T > t-land D > t-1) and P(D = tlT > t _ 1 and D > t _ 1 and C > t-1)-P(D = t[T > t-1and D > t-1) Suppose that the data were collected over the first 6 months of being on the waiting list for 1,000 patients. So Dt the number of people that die off the waiting list, · Tt = the number transplanted during a particular month, . Cr the number of people censored at the end of the month, and ne the number of people at risk during the start of the interval. Ct nt 1 50 20 50 1000

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