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Chapter 2 Estimation, Inference and Hypothesis
Chapter 2 Estimation, Inference and Hypothesis

... may be challenging if new to this topic and Ch. 7 – 10 of Wackerly, Mendenhall & Scheaffer (2001) may be useful as an introduction. This chapter provides an overview of estimation, distribution theory, inference and hypothesis testing. Testing an economic or financial theory is a multi-step process. ...
Problem Set Number Three
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... Usually it is too costly in terms of time, money, and/or effort to measure every item in a population (e.g. the length of all the bananas in the world, the average weight of 18 year old men in California, the fraction of defective light bulbs coming off an assembly line, etc). Consequently, we take ...
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... A continuous random variable X is one which represents measurements that (theoretically) can be made to any degree of accuracy. For example suppose X = the weight (in kg) of a randomly chosen newborn baby. Depending on the accuracy of our scale the weight X of a randomly selected baby could be recor ...
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Lecture 15 A Bit More on Statistics and Error Analysis

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... 3) For the numbers 50, 250, 450 and 650, compute the a) Geometric Mean b) Harmonic mean, c) Rootmean-square (2 each). Label each clearly. If you wish, d) Compute the geometric mean using natural or base 10 logarithms. (3 points if you need it here or two points if you need it in the next section - d ...
6/25/97 502as1
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... is not between the top and the bottom of the confidence interval, reject H 0 and say that the mean is significantly different from 200. If we ask if the mean is significantly different from 198, the null hypothesis is H 0 :   198 and 198 is between the top and the bottom of the confidence interval ...
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... Researcher is interested in average age at which left-handed adults die, assuming they have lived to be at least 50. Ages at death not bell-shaped, so need at least 30 such ages at death. Population is all left-handed people who live to be at least 50 years old. The measurement is age at death. Copy ...
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... measurements yield a set of values or scores, and this set represents the findings of the research, or data. Often, it is impractical to completely measure the characteristics of a given population, known as parameters, directly. Thus, psychologists often focus on the characteristics of samples take ...
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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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