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A normal quantile plot for a simulated set of test statistics that have been standardized to be Z-scores under the null hypothesis. The departure of the upper tail of the distribution from the expected trend along the diagonal is due to the presence of substantially more large test statistic values than would be expected if all null hypotheses were true.
Every 1.07 billion years (four occurrences in history of Earth) μ ± 7.5σ: 0.999 999 999 999 936: 6.382 × 10 −14 = 63.82 ppq: 1 in 15 669 601 204 101: Once every 43 billion years (never in the history of the Universe, twice in the future of the Local Group before its merger) μ ± 8σ: 0.999 999 999 999 999: 1.244 × 10 −15 = 1.244 ppq ...
Though there are many approximate solutions (such as Welch's t-test), the problem continues to attract attention [4] as one of the classic problems in statistics. Multiple comparisons: There are various ways to adjust p-values to compensate for the simultaneous or sequential testing of hypotheses. Of particular interest is how to simultaneously ...
Thus the null hypothesis is that a population is described by some distribution predicted by theory. He uses as an example the numbers of five and sixes in the Weldon dice throw data. [6] 1904: Karl Pearson develops the concept of "contingency" in order to determine whether outcomes are independent of a given categorical factor.
[1] [2] "Simulation models are increasingly being used to solve problems and to aid in decision-making. The developers and users of these models, the decision makers using information obtained from the results of these models, and the individuals affected by decisions based on such models are all rightly concerned with whether a model and its ...
Every output random variable from the simulation is associated with a variance which limits the precision of the simulation results. In order to make a simulation statistically efficient, i.e., to obtain a greater precision and smaller confidence intervals for the output random variable of interest, variance reduction techniques can be used ...