
Estimation and Hypothesis Testing with Large Sample of Data: Part II
... a) We observe xn − µ >> 0. This is equivalent to the significance prob. pa = PH0 (Tn ≥ t) < 0.05 = α. b) We observe xn − µ << 0. This is equivalent to the significance prob. pb = PH0 (Tn ≤ t) < 0.05 = α. Remark 4.1. We conclude this section with a note that formulating suitable hypotheses requires g ...
... a) We observe xn − µ >> 0. This is equivalent to the significance prob. pa = PH0 (Tn ≥ t) < 0.05 = α. b) We observe xn − µ << 0. This is equivalent to the significance prob. pb = PH0 (Tn ≤ t) < 0.05 = α. Remark 4.1. We conclude this section with a note that formulating suitable hypotheses requires g ...
19: Sample Size, Precision, and Power
... Sample Size Requirements for Estimating a Mean or Mean Difference To determine an appropriate sample size you must first declare an acceptable margin of error d. Recall that margin of error d is the wiggle room around the point estimate. This is equal to half the confidence interval width. When esti ...
... Sample Size Requirements for Estimating a Mean or Mean Difference To determine an appropriate sample size you must first declare an acceptable margin of error d. Recall that margin of error d is the wiggle room around the point estimate. This is equal to half the confidence interval width. When esti ...
Two-Side Confidence Intervals for the Poisson Means
... actually far too poor and unreliable and the problem are not just for small n. [2] showed that Wald CI suffers from a series systematic bias in the coverage. Therefore, the other researcher are present any method for solve this problem; see [3]-[5], [6]. We have known that common method used maximum ...
... actually far too poor and unreliable and the problem are not just for small n. [2] showed that Wald CI suffers from a series systematic bias in the coverage. Therefore, the other researcher are present any method for solve this problem; see [3]-[5], [6]. We have known that common method used maximum ...
Section 2: Estimation, Confidence Intervals and Testing Hypothesis
... communicating the uncertainty in their forecasts as they were afraid the public would loose confidence in their abilities to predict ...
... communicating the uncertainty in their forecasts as they were afraid the public would loose confidence in their abilities to predict ...
Pages 46-50
... from the Gibbs sampler (after a burnin period of 50) gives the following estimate of the joint distribution, along with the true joint distribution: ...
... from the Gibbs sampler (after a burnin period of 50) gives the following estimate of the joint distribution, along with the true joint distribution: ...
SS 024a – Exam #2 - Department of Statistical and Actuarial Sciences
... 4. An efficiency expert wishes to determine the average time that it takes to drill three holes in a certain metal clamp. How large a sample will he need to be 99% confident that his sample mean will be within 15 seconds of the true mean? Assume that it is known from previous drilling studies that t ...
... 4. An efficiency expert wishes to determine the average time that it takes to drill three holes in a certain metal clamp. How large a sample will he need to be 99% confident that his sample mean will be within 15 seconds of the true mean? Assume that it is known from previous drilling studies that t ...
6 - uf statistics
... c) We can only extend the conclusions to those five students, not to the general population of 5th graders. d) The assumptions seem to be satisfied, since the problem states the students were a random sample. e) The validity of the confidence interval does not depend on the assumptions – it’s a sepa ...
... c) We can only extend the conclusions to those five students, not to the general population of 5th graders. d) The assumptions seem to be satisfied, since the problem states the students were a random sample. e) The validity of the confidence interval does not depend on the assumptions – it’s a sepa ...
German tank problem

In the statistical theory of estimation, the problem of estimating the maximum of a discrete uniform distribution from sampling without replacement is known in English as the German tank problem, due to its application in World War II to the estimation of the number of German tanks.The analyses illustrate the difference between frequentist inference and Bayesian inference.Estimating the population maximum based on a single sample yields divergent results, while the estimation based on multiple samples is an instructive practical estimation question whose answer is simple but not obvious.