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Bayesian_Network - Computer Science Department
Bayesian_Network - Computer Science Department

A primer in Bayesian Inference
A primer in Bayesian Inference

Statistics for Research In Ecology
Statistics for Research In Ecology

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... Usually (but not always), the null hypothesis corresponds to a baseline or boring finding, and the alternative hypothesis corresponds to some interesting finding. Once we have the two hypotheses, we’ll use the data to test which hypothesis we should believe. “Significance” is usually defined in term ...
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... A little Probability and Statistics Before testing a hypothesis, we must set up the hypothesis in a quantitative manner. The measurements done in epidemiological studies must be a number of some sort. (i.e. number of patients that did not receive a drug and died, mean blood pressure in HIV patients ...
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Quiz505

... In the following experiment we roll a fair die 5 times. a) What is the probability of the sequence “1,2,3,4,5”. P = (1/6)^5 (each number has P=1/6 and all numbers are independent. Alternatively: there is 1 way to achieve this and 6^5 ways in S). b) What is the probability that the sequence starts wi ...
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... Consider a distribution D over space XY X - the instance space; Y - set of labels. (e.g. +/-1) Can think about the data generation process as governed by D(x), and the labeling process as governed by D(y|x), such that D(x,y)=D(x) D(y|x) This can be used to model both the case where labels are gener ...
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17. Inferential Statistics

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The One Sample t - Open Online Courses

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How do I Test my Data for Normality? - Integral

... not discussed in this article. Here, we focus on the interpretation. If the p-value is “small” (usually less than 0.05), then we have strong evidence that the data is not normal (does not come from a normal distribution). If the p-value is “large” (usually more than 0.10), then we assume that the da ...
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Foundations of statistics

Foundations of statistics is the usual name for the epistemological debate in statistics over how one should conduct inductive inference from data. Among the issues considered in statistical inference are the question of Bayesian inference versus frequentist inference, the distinction between Fisher's ""significance testing"" and Neyman-Pearson ""hypothesis testing"", and whether the likelihood principle should be followed. Some of these issues have been debated for up to 200 years without resolution.Bandyopadhyay & Forster describe four statistical paradigms: ""(1) classical statistics or error statistics, (ii) Bayesian statistics, (iii) likelihood-based statistics, and (iv) the Akaikean-Information Criterion-based statistics"".Savage's text Foundations of Statistics has been cited over 10000 times on Google Scholar. It tells the following.It is unanimously agreed that statistics depends somehow on probability. But, as to what probability is and how it is connected with statistics, there has seldom been such complete disagreement and breakdown of communication since the Tower of Babel. Doubtless, much of the disagreement is merely terminological and would disappear under sufficiently sharp analysis.
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