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TPS4e_Ch12_12.1
TPS4e_Ch12_12.1

AP Stat 12.1
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+ Inference for Linear Regression
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number selection strategy of lotto players
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... that the lotto players pick numbers at random. However, many lotto players select their combinations through some other process. In other words, they believe there are some combinations that are much more popular than others. Cook and Clotfelter (1993) refer to this behavior as “conscious selection” ...
Chapter 4 - Pearson Schools and FE Colleges
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... and at a time when there was no reason to think that anything further could be done to make the production more consistent. The weights, in grams, of 100 chocolate bars (unwrapped) were found: ...
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... suggest sample sizes for future studies that drop to power down to !, the Type I error rate, which is also the lower bound for power. This asymmetrical relationship results in average actual power across the sampling distribution of the effect size estimate that is less than the nominal power calcul ...
Hypothesis Testing and Confidence Intervals for Two Populations
Hypothesis Testing and Confidence Intervals for Two Populations

... First, I observe that the sample sizes both exceed 30. This is important. If the sample sizes equal or exceed 30, the central theorem may be assumed, which in turn assures the distributions are normally distributed. Both sample sizes must be equal to or exceed 30 for me to apply the large size sampl ...
Constructing Probability Boxes and Dempster
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... This report introduces the notion of “uncertain numbers”, a class of mathematical objects useful for risk analysis that generalize real numbers, intervals, probability distributions, interval bounds on probability distributions (probability boxes), and finite DempsterShafer structures whose elements ...
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... cases: 1) the mismeasured variable is assumed exogenous, and no instruments are available; 2) the mismeasured variable is assumed exogenous, and one or more instruments are available; and 3) the mismeasured variable is not assumed exogenous, and instruments are available. In the first two cases, we ...
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Adaptive Directional Stratification for controlled

... stratification method by partitioning the ”directional space”, in other words the space where A takes its values, that is to say the p-dimensional unit sphere Sp . The natural strata adapted to directional draws are cones and partitioning Sp is equivalent to make a partition of the general space int ...
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Statistical inference for nonparametric GARCH models Alexander Meister Jens-Peter Kreiß May 15, 2015
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Estimating Covariate-Adjusted Log Hazard Ratios for Multiple Time
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... signs of the elements of b are predominantly the same. A consistent estimator for its variance is (110J V b 1 J )/J 2 = vb̄ , and the two-sided 0.95 confidence interval for the corre√ sponding average hazard ratio is exp{b̄ ± 1.96 vb̄ }. The proposed method should have reasonably good properties in ...
Binary Dependent Variables
Binary Dependent Variables

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Binary Dependent Variables

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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.
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