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Bootstrap: The data-based simulation method/technique for the statistical inference which can be used to study the variability of the estimated characteristics of the probability distribution of a set of observations and give con?dence intervals for the parameters in situations where these are difficult or impossible to derive in the usual manner. (The use of term bootstrap derives from the phrase 'to pull oneself up by the one's bootstraps'.) The general idea and approach of the procedure involves sampling with the replacement to produce random samples of size n from the original data, x1; x2; ... ; xn; each of these is called as a bootstrap sample and each gives an approximate idea of the parameter of interest. Repeating the process the large number of times provides the desired information on the variability of the estimator and the approximate 95% con?dence interval can, for instance, be derived from the 2.5% and 97.5% quantiles of the replicate values.
An analyst counted 17 A/B runs and 26 time series observations. Do these results suggest that the data are nonrandom? Explain
Interior analysis is the term now and again applied to analysis carried out on the fitted model in regression problem. The basic target of such analyses is the identification of
Auto correlation : The correlation of the internal observations in the time series, generally expressed as a function of the time lag between the observations. It is also used for
Influence statistics: The range of statistics designed to assess the effect or the in?uence of an observation in determining results of the regression analysis. The general approa
1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let N (t) = N1(t) + N2(t). a) What is the distribution of the time till the next epoch
Bimodal distribution : The probability distribution, or we can simply say the frequency distribution, with two modes. Figure 15 shows the example of each of them
Intercropping experiments are the experiments including growing two or more crops at same time on the same patch of land. The crops are not required to be planted nor harvested at
Marginal matching is the matching of the treatment groups in terms of means or other summary characteristics of matching variables. This has been shown to be almost as efficient a
Continual reassessment method: An approach which applies Bayesian inference for determining the maximum tolerated dose in a phase I trial. The method starts by assuming a logistic
Bayesian confidence interval : An interval of the posterior distribution which is so that the density of it at any point inside the interval is greater than that of the density at
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