Titlebook: Statistics and Analysis of Scientific Data; Massimiliano Bonamente Textbook 20131st edition Springer Science+Busines Media New York 2013 2

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Comparison Between Models,sian data, a lower reduced .. of one model with respect to another is already indicative of a better fit, but the outstanding question is whether the value is . lower, or whether a lower value can be just the result of statistical fluctuations. For this purpose we develop the distribution function o

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Distribution Function of Statistics and Hypothesis Testing,. In this chapter we derive the distribution of a few fundamental statistics that play a central role in data analysis, such as the .. statistic. The distribution of each statistic can be used for a variety of tests, including the acceptance or rejection of the fit to a model, as explained in later chapters.

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Comparison Between Models,f the . statistic, useful to compare the goodness of fit between two models and the need for an additional ‘nested’ model component, and the Kolmogorov-Smirnov statistics, useful in providing a quantitative measure of the goodness of fit, and in comparing two datasets regardless of their fit to a specific model.

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