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

By Brian S. Everitt

ISBN-10: 1439877491

ISBN-13: 9781439877494

Entrance conceal; commitment; desk of content material; Preface; 1. a few fundamentals and Describing info; 2. chance; 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 fairly winning. all of the average issues, comparable to chance, 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 info research, and multivariate research, hence supplying the reader with a quick creation to a wide range of the tools within the statistical arsenal with out getting slowed down intimately. ... a quick, yet stable, creation to stats. ... excellen. Read more...

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

""I imagine that Everitt has been relatively profitable. the entire general issues, reminiscent of chance, estimation, speculation checking out, research of variance, and regression, are mentioned. The dialogue is brief, to the purpose, readable, and trustworthy. furthermore, there are the extra 'advanced' subject matters of logistic regression, survival research, longitudinal information research, and multivariate research, hence offering the reader with a quick advent to a big selection of the tools within the statistical arsenal with no getting slowed down intimately. ... a quick, yet solid, advent to statistical data. ... excellen

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Extra info for A Whistle-Stop Tour of Statistics

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10 When rolling two dice what is the probability that the number on the die rolled second is larger than the number on the die rolled first? Solution FIrst dIE scorE 1 2 3 4 5 6 sEcoNd dIE hIghEr IF rEsult Is ProBaBIlIty that sEcoNd dIE hIghEr 2 or 3 or 4 or 5 or 6 3 or 4 or 5 or 6 4 or 5 or 6 5 or 6 6 Cannot have a higher score 1/6 + 1/6 + 1/6 + 1/6 + 1/6 1/6 + 1/6 + 1/6 + 1/6 1/6 + 1/6 + 1/6 1/6 + 1/6 1/6 0 Pr(first die shows a 1 and second die is higher) = 1/6 × 5/6 = 5/26. Now find corresponding probabilities for different first die scores and then add to give the result as 15/36.

Probability: A measure of that event’s uncertainty. By convention probabilities are measured on a scale from zero to one, with zero corresponding to an event that is impossible and one to an event that is certain. Classical definition of probability: If there are n equally likely possibilities of which s result in the event of interest (often referred to as a success) then the probability of the event, p, is given by p = s/n with the probability that the event does not happen (often denoted a failure) being 1 − p.

Solution The required moment-generating function is ∞ M X (t ) = ∫e xt −∞ σ 2t 2  N(µ, σ )dx = exp µt + 2   The moment-generating function uniquely determines a probability distribution or pdf so that if random variables X and Y have, respectively, moment-generating functions, M X(t) and MY (t), then the two variables have the same probability distribution if and only if M X(t) = MY (t). And if X1,X2,…, Xn are independent random variables then, for example, M Xi − X j (t ) = M Xi (t ) M X j (−t ) and M n X (t ) = M X1 (t ) M X2 (t )… M Xn (t ).

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