Read e-book online A Whistle-Stop Tour of Statistics 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 versions; 6. Linear Regression types; 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 fairly profitable. the entire typical subject matters, resembling likelihood, estimation, speculation checking out, research of variance, and regression, are mentioned. The dialogue is brief, to the purpose, readable, and trustworthy. moreover, there are the extra 'advanced' issues of logistic regression, survival research, longitudinal info research, and multivariate research, therefore supplying the reader with a brief advent to a big selection of the equipment within the statistical arsenal with out getting slowed down intimately. ... a quick, yet sturdy, advent to stats. ... excellen. Read more...

summary: entrance disguise; commitment; desk of content material; Preface; 1. a few fundamentals and Describing info; 2. chance; 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 information and Their research; 10. Multivariate info and Their Analysis.

""I imagine that Everitt has been fairly winning. all of the regular 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. additionally, there are the extra 'advanced' themes of logistic regression, survival research, longitudinal information research, and multivariate research, hence delivering the reader with a quick advent to a wide range of the tools within the statistical arsenal with no getting slowed down intimately. ... a quick, yet strong, advent to statistical data. ... excellen

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Additional info for A Whistle-Stop Tour of Statistics

Sample text

Assign a subjective probability. We might use experience, intuition or a hunch to arrive at a value but the assigned probability will be subjective and different people can be expected to assign different probabilities to the same event. Subjective probabilities express a person’s degree of belief in the event and are often referred to as personal probabilities. addition rule for probabilities: Often the events for which we require probabilities are made up of a number of simpler events and so we need to consider how to combine the probabilities of these simpler events to arrive at the probability of the more complex event.

NB: The central limit theorem provides some reassurance about the normality of the sampling distribution of the sample mean for reasonably sized samples, even when the underlying distribution is not normal. 3 ESTIMATIon By ThE METhoD of MoMEnTS method of moments: The basis of estimation by the method of moments is the matching of corresponding sample and population moments. 2 What is the method of moments estimator for the parameter p of a geometric distribution? Solution The expected value for a geometric probability distribution is 1/p; matching the first population moment with the first sample moment we obtain x= 1 pˆ leading to the following estimator for p, pˆ = 1 x It is not always obvious which moments we match; for example, the variance of a geometric distribution is (1–p) / p2 and so we could match the sample variance to this value, s2 = 1 − pˆ pˆ 2 which can be solved to give pˆ = 1 + 4s 2 − 1 2s 2 This is also a method of moments estimator for p but for any particular sample will not be equal to the first estimator, pˆ = 1/ x .

1 What is the probability of a year, which is not a leap year, having 53 Sundays? Solution A non-leap year of 365 days consists of 52 complete weeks and 1 day over. This odd day may be any one of the 7 days of the week and there is nothing to make one more likely than another. Only one will lead to the result that the year will have 53 Sundays; consequently, the probability that the year has 53 Sundays is simply 1/7. 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.

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


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