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Two-Sample t-Test Essay - Madison Fay Kirby: Portfolio

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... no mode exists; for example with the set {2, 4, 7, 8, 9, 11}. The set {2, 3, 3, 3, 4, 5, 6, 6, 6, 7} has two modes 3 and 6 because each occurs three times. One mode ⇒ “unimodal”. Two modes ⇒ “bimodal”. More than two modes ⇒ “multimodal”. • The mid-range is given by the average of the minimum and max ...
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... Another possible error:  The probability of not rejecting the null hypothesis when it is actually false.  This is denoted by the Greek letter “β”.  Also known as Type II Error.  We cannot select this probability. It is related to the choice of , the sample size, and the data collected. ...
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Table: Chi-Square Probabilities - Fisher College of Business

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TestOfHypothesis - Asia University, Taiwan

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Assignment 2

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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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