A Whistle-Stop Tour of Statistics by Brian S. Everitt

By Brian S. Everitt

Entrance disguise; commitment; desk of content material; Preface; 1. a few fundamentals and Describing information; 2. likelihood; three. Estimation; four. Inference; five. research of Variance types; 6. Linear Regression versions; 7. Logistic Regression and the Generalized Linear version; eight. Survival research; nine. Longitudinal information and Their research; 10. Multivariate information and Their Analysis.

""I imagine that Everitt has been relatively winning. all of the normal themes, comparable to likelihood, estimation, speculation checking out, research of variance, and regression, are mentioned. The dialogue is brief, to the purpose, readable, and trustworthy. additionally, there are the extra 'advanced' subject matters of logistic regression, survival research, longitudinal info research, and multivariate research, therefore supplying the reader with a brief creation to a wide range of the tools within the statistical arsenal with out getting slowed down intimately. ... a short, yet strong, creation to stats. ... excellen. Read more...

summary: entrance hide; commitment; desk of content material; Preface; 1. a few fundamentals and Describing information; 2. likelihood; three. Estimation; four. Inference; five. research of Variance versions; 6. Linear Regression types; 7. Logistic Regression and the Generalized Linear version; eight. Survival research; nine. Longitudinal facts and Their research; 10. Multivariate facts and Their Analysis.

""I imagine that Everitt has been rather profitable. all of the typical themes, resembling likelihood, estimation, speculation trying out, research of variance, and regression, are mentioned. The dialogue is brief, to the purpose, readable, and trustworthy. moreover, there are the extra 'advanced' themes of logistic regression, survival research, longitudinal facts research, and multivariate research, hence supplying the reader with a brief creation to a wide range of the equipment within the statistical arsenal with no getting slowed down intimately. ... a quick, yet sturdy, advent to stats. ... excellen

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Indb 19 03/11/11 4:52 PM 20 A Whistle-Stop Tour of Statistics alternative definition of probability: The limit of the relative frequency of a success in a large number of trials, n, as n tends to infinity; explicitly, p = Lim n→∞ s n where s is the number of successes in the n trials. 2 Suppose 1,000,000 children are born in a year, with 501,000 of them being boys. 501. 501. Now suppose that in a small village somewhere, 10 children are born in a year of which 7 are boys. 7 but claiming that this is also the probability of a male baby is now not justified because the number of babies is too small.

11 A cab was involved in a hit-and-run accident at night. Two cab companies, the Green and the Blue, operate in the city. The following facts are known: • 85% of the cabs in the city are Green and 15% are Blue. • A witness identified the cab as Blue. The court tested the reliability of the witness under the same circumstances that existed on the night of the accident and concluded that the witness correctly identified each one of the two colours 80% of the time and failed 20% of the time. What is the probability that the cab involved in the accident was actually Blue?

N! (n − r )! Bayes’ theorem: Pr(A|B) = Pr(B|A) Pr(A)/Pr(B) number of permutations of r objects from n objects: n pr = Binomial distribution: Pr( X = x ) = n! (n − x )! E ( X ) = np, µ 2 = np(1 − p), M X (t ) = [(1 − p) + pet ] n λ xe− λ x! indb 39 03/11/11 4:52 PM 40 A Whistle-Stop Tour of Statistics E(X ) = m(1 − p) m(1 − p)  1 − (1 − p)et  , µ2 = , ( ) = M t X   p p2 p −m Hypergeometric distribution: A probability distribution associated with sampling without replacement from a population of finite size.

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