Example: confidence
Confidence intervals and the t- distribution
distribution or the normal distribution give almost the same result This is because when The sample size is 1000, the estimate of the standard deviation is likely to be very close to the population standard deviation. This also explains what we have observed previously. When the sample size is 50, we do not need to compensate much for ...
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Using Margin of Error to calculate sample size
web.stat.tamu.eduDiscussion p The point estimates (based on the sample) for the Johnson and Johnson is better than Novavax, but the confidence intervals different story. p The confidence intervals explain there the population efficacy lies. p As all the confidence intervals overlap it is impossible to distinguish between the three vaccines. p Notice that the confidence interval for the Novavaxvaccines is far
Chapter 2 The Maximum Likelihood Estimator
web.stat.tamu.eduExample 2.2.2 (Weibull with known ↵) {Y i} are iid random variables, which follow a Weibull distribution, which has the density ↵y↵1 ↵ exp( ↵(y/ ) ) ,↵>0. Suppose that ↵ is known, but is unknown. Our aim is to fine the MLE of . The log-likelihood is proportional to L n(X; )= Xn i=1 log↵ +(↵ 1)logY i ↵log Y i ↵
A course in Time Series Analysis - Dept. of Statistics ...
web.stat.tamu.eduA course in Time Series Analysis Suhasini Subba Rao Email: suhasini.subbarao@stat.tamu.edu January 17, 2021
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