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chap 06 sec1
chap 06 sec1

... 95% of the area under the standard normal curve falls within 1.96 standard deviations of the mean. (You can approximate the distribution of the sample means with a normal curve by the Central Limit Theorem, because n = 40 ≥ 30.) ...
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... By ordering the original observations, and taking away the first k smallest observations and the first k largest obserations, the trimmed mean takes the arithmetic average of the resulting data. The idea of a trimmed mean is to eliminate outliers, or extreme observations that do not seem to have any ...
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... chara.cteristics·of the processes or products. A key question upfront is that of the monitoring goals and the corresponding sampling frequency dictated by such goals. This quantitative evidence may be as fundamental as t.hat reflected in a quality control chart on the meant ra.nge, variance, or some ...
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Bootstrapping (statistics)



In statistics, bootstrapping can refer to any test or metric that relies on random sampling with replacement. Bootstrapping allows assigning measures of accuracy (defined in terms of bias, variance, confidence intervals, prediction error or some other such measure) to sample estimates. This technique allows estimation of the sampling distribution of almost any statistic using random sampling methods. Generally, it falls in the broader class of resampling methods.Bootstrapping is the practice of estimating properties of an estimator (such as its variance) by measuring those properties when sampling from an approximating distribution. One standard choice for an approximating distribution is the empirical distribution function of the observed data. In the case where a set of observations can be assumed to be from an independent and identically distributed population, this can be implemented by constructing a number of resamples with replacement, of the observed dataset (and of equal size to the observed dataset).It may also be used for constructing hypothesis tests. It is often used as an alternative to statistical inference based on the assumption of a parametric model when that assumption is in doubt, or where parametric inference is impossible or requires complicated formulas for the calculation of standard errors.
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