On the coverage probability of the Clopper
... if 0 ≤ p < 1 − (α/2)1/n , uX is larger than p and statement (i) holds true. Under the condition 1 − (α/2)1/n ≤ p < 1, F is not empty. According to statement (ii) of lemma 2 and (3), we obtain that F = {0, . . . , L} with L ≤ n − 1. Therefore, the event {uX ≤ p} is the event {X ≤ L} so that P ({uX ≤ ...
... if 0 ≤ p < 1 − (α/2)1/n , uX is larger than p and statement (i) holds true. Under the condition 1 − (α/2)1/n ≤ p < 1, F is not empty. According to statement (ii) of lemma 2 and (3), we obtain that F = {0, . . . , L} with L ≤ n − 1. Therefore, the event {uX ≤ p} is the event {X ≤ L} so that P ({uX ≤ ...
Research Project Planning: Sample Size and Statistical Power
... Multiple comparisons of means that is decided upon before NOT AFTER - the study is conducted and is hypothesis driven E.g., We expect that mean values for HbA1C will vary significantly by age group and that children < 6 yrs will have significantly lower values than children > 12 years but not ...
... Multiple comparisons of means that is decided upon before NOT AFTER - the study is conducted and is hypothesis driven E.g., We expect that mean values for HbA1C will vary significantly by age group and that children < 6 yrs will have significantly lower values than children > 12 years but not ...
Random numbers and stochastic simulations in Excel
... Hit the “Go” button, and the program first does its calculations, and then asks for an output cell. This will be the upper left cell of the output, which has 7 columns and as many rows as your simulation. CONGRATULATIONS!! You’ve performed your first Monte Carlo analysis. You now have a bunch of new ...
... Hit the “Go” button, and the program first does its calculations, and then asks for an output cell. This will be the upper left cell of the output, which has 7 columns and as many rows as your simulation. CONGRATULATIONS!! You’ve performed your first Monte Carlo analysis. You now have a bunch of new ...
9.2 Day 4
... 3) For survey, population sizes should be at least ten times larger than sample sizes for both samples. Remember, this condition does not apply to experiment. ...
... 3) For survey, population sizes should be at least ten times larger than sample sizes for both samples. Remember, this condition does not apply to experiment. ...
0.95
... How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points? How large a sample is necessary if nothing is known about the proportion? ...
... How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points? How large a sample is necessary if nothing is known about the proportion? ...
Estimation of the Mean and Proportion
... 110 Chapter 8 Estimation of the Mean and Proportion Example 8-2 According to a report by the Consumer Federation of America, National Credit Union Foundation, and the Credit Union National Association, households with negative assets carried an average of $15,528 in debt in 2002 (CBS.MarketWatch.co ...
... 110 Chapter 8 Estimation of the Mean and Proportion Example 8-2 According to a report by the Consumer Federation of America, National Credit Union Foundation, and the Credit Union National Association, households with negative assets carried an average of $15,528 in debt in 2002 (CBS.MarketWatch.co ...
2005 Thomson/South
... throughout the United States. The firm is evaluating a potential location for a new outlet, based in part, on the mean annual income of the individuals in the marketing area of the new location. A sample of size n = 36 was taken; the sample mean income is $31,100. The population is not believed to b ...
... throughout the United States. The firm is evaluating a potential location for a new outlet, based in part, on the mean annual income of the individuals in the marketing area of the new location. A sample of size n = 36 was taken; the sample mean income is $31,100. The population is not believed to b ...
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.