MHB How Do You Calculate Estimators and Analyze Complication Rates in Statistics?

  • Thread starter Thread starter NYCStats22
  • Start date Start date
  • Tags Tags
    Method Moments
Click For Summary
To calculate estimators for the continuous random variable X with the given density function, one must derive both the method of moments estimator and the maximum likelihood estimator for λ, starting with finding the mean. In analyzing complication rates between two surgical procedures, the data shows 35 complications from 150 patients in procedure A and 34 complications from 138 patients in procedure B. A statistical test is needed to determine if there is a significant difference in complication rates at the 1% level, along with calculating the P-value. Providing any progress made on these calculations can help others assist more effectively. Engaging with the community can lead to better guidance on these statistical challenges.
NYCStats22
Messages
2
Reaction score
0
Really need help with these two questions. I have been working on them for some time and just can't seem to make any significant progress1) X is a continuous random variable with density function

f(x) = (θ + 1)x^θ , 0 < x < 1 and 0 elsewhere

Derive both the method of moments estimator and the maximum likelihood estimator for λ.

*For the MOM estimator you will need to find the mean*2) Two surgical procedures are compares and what is of interest are the complication rates. 150 patients had procedure A and there were 35 complications while procedure B tested 138 patients and there were 34 complications. Does this indicate a difference at a 1% level. What is the P-value?
 
Physics news on Phys.org
Hello and welcome to MHB, NYCStats11! (Wave)

Even though you say you have not made significant progress, can you post what progress you have made? This will give our helpers some idea where you are stuck and how to best help you, even if all you can state is what theorems you think may apply.
 

Thread 'A variant of the Monty Hall problem'

There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...
View full post »

Similar threads

Need help with 2 advanced stat questions
  • · Replies 2 ·
Replies
2
Views
2K
I How Do You Estimate Covariance in Physics Experiments?
  • · Replies 3 ·
Replies
3
Views
1K
How Do You Calculate Standard Errors for Method of Moments and MLE Estimates?
  • · Replies 1 ·
Replies
1
Views
2K
What is the method of moment estimator for θ?
  • · Replies 4 ·
Replies
4
Views
2K
How to show that the Method of Moment Estimators for the Normal
  • · Replies 4 ·
Replies
4
Views
2K
Determining which estimator to use (stats)
  • · Replies 3 ·
Replies
3
Views
2K
Statistics: Method of Moments/Maximum Likelihood Estimation
  • · Replies 7 ·
Replies
7
Views
11K
Estimating Theta for Beta Distribution: Method of Moments vs. MLE?
  • · Replies 2 ·
Replies
2
Views
3K
How Do You Calculate µB Using Quantum Mechanics Equations?
  • · Replies 1 ·
Replies
1
Views
2K
I How do you Calculate the Points in Gaussian Quadrature?
  • · Replies 2 ·
Replies
2
Views
2K