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SOLUTIONS!!!! STATS TEAM TBT Feb 2013
SOLUTIONS!!!! STATS TEAM TBT Feb 2013

... D=P-value of the 1-proportion z-test on the alternative hypothesis: Ha:p<0.09. TBT Invitational 2013 ...
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... above with a simple example. Our toy model consists of a gaussian signal (‘mass bump’) on top of a continuous background that follows a Rayleigh distribution, in a mass range [0,120]. The width of the gaussian increases linearly with the mass, representing a case where the mass resolution changes wi ...
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... At some time or another, everyone will experience uncertainty. For example, you are approaching the traffic signals and the light changes from green to amber. You have to decide whether you can make it through the intersection or not. You may be uncertain as to what the correct decision should be. ...
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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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