
Estimation of Bacterial Densities by Means of the" Most Probable
... Roughly speaking, this means that the m.p.n. gives on the average at least as precise estimates as any other method used on the same data. There is no point in seeking further for a more precise estimate. The theorem cannot be proved in general when the numbers of samples are small, but experience s ...
... Roughly speaking, this means that the m.p.n. gives on the average at least as precise estimates as any other method used on the same data. There is no point in seeking further for a more precise estimate. The theorem cannot be proved in general when the numbers of samples are small, but experience s ...
Lecture 18 Chapter 9: Means and Proportions as Random Variables
... Sampling Distribution of Sample Mean In practice, just one sample is taken from a population of quantitative values and the statistic x̄, sample mean, is measured—one time only. In theory, we may consider values of x̄ for repeated samples, in order to get an idea of how sample mean as a variable beh ...
... Sampling Distribution of Sample Mean In practice, just one sample is taken from a population of quantitative values and the statistic x̄, sample mean, is measured—one time only. In theory, we may consider values of x̄ for repeated samples, in order to get an idea of how sample mean as a variable beh ...
Estimating and Finding Confidence Intervals - TI Education
... The Meaning of Confidence Interval (Simulation) The above sample was randomly generated from a normal distribution with a mean of 65 inches and a standard deviation of 2.5 inches (the first interval in screen 7), so the confidence interval of 64.67 to 66.69 did, in fact, contain the population mean ...
... The Meaning of Confidence Interval (Simulation) The above sample was randomly generated from a normal distribution with a mean of 65 inches and a standard deviation of 2.5 inches (the first interval in screen 7), so the confidence interval of 64.67 to 66.69 did, in fact, contain the population mean ...
Estimating Average Treatment Effects
... methods do vary substantially, with the four estimators (ignoring the naive difference in means and the ols estimator) ranging from 0.038 to 0.062. This range is substantial compare to the difference relative to the naive estimator of 0.074. Trimming does not reduce this range substantially. The boo ...
... methods do vary substantially, with the four estimators (ignoring the naive difference in means and the ols estimator) ranging from 0.038 to 0.062. This range is substantial compare to the difference relative to the naive estimator of 0.074. Trimming does not reduce this range substantially. The boo ...
Chapter 7
... mean value = 89.67 cm. In the 40 repetitions of the confidence interval procedure described above, note that only two of the intervals (those based on samples 38 and 40, indicated by blue color) do not contain the value of , where the remaining 38 intervals (or 95% of the 40 interval) do contain ...
... mean value = 89.67 cm. In the 40 repetitions of the confidence interval procedure described above, note that only two of the intervals (those based on samples 38 and 40, indicated by blue color) do not contain the value of , where the remaining 38 intervals (or 95% of the 40 interval) do contain ...
This interval
... Use a value for σ that is expected to be at least as large as the true σ Select a pilot sample and estimate σ with the sample standard deviation, s Use the range R to estimate the standard deviation using σ = R/6 (or R/4 for a more conservative estimate, producing a larger sample size) Chap 8-35 ...
... Use a value for σ that is expected to be at least as large as the true σ Select a pilot sample and estimate σ with the sample standard deviation, s Use the range R to estimate the standard deviation using σ = R/6 (or R/4 for a more conservative estimate, producing a larger sample size) Chap 8-35 ...
NE 582 Monte Carlo Analysis
... theory, discrete ordinates, integral transport methods) than I did with Monte Carlo. So, when I arrived at the university and it fell to me to teach a Monte Carlo course, I was never quite satisfied with how the method is presented (or even understood by most practitioners). I was more used to study ...
... theory, discrete ordinates, integral transport methods) than I did with Monte Carlo. So, when I arrived at the university and it fell to me to teach a Monte Carlo course, I was never quite satisfied with how the method is presented (or even understood by most practitioners). I was more used to study ...
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.