Concise Encyclopedia of Statistics by August-Wilhelm Scheer, Wolfram Jost, Helge Heß, Andreas

By August-Wilhelm Scheer, Wolfram Jost, Helge Heß, Andreas Kronz

Show description

Read Online or Download Concise Encyclopedia of Statistics PDF

Best mathematicsematical statistics books

Introduction To Research Methods and Statistics in Psychology

This middle textual content has been revised and up to date according to present AEB a degree syllabus adjustments for this moment variation. It deals a complete survey of present study equipment and facts in psychology, really appropriate for a degree scholars new to the topic. the complete diversity of universal experimental and non-experimental equipment is roofed, in addition to an outline of the qualitative-quantitative debate.

Modern Applied Statistics With S-PLUS

S-PLUS is a robust surroundings for the statistical and graphical research of knowledge. It offers the instruments to enforce many statistical rules which were made attainable through the common availability of workstations having solid images and computational services. This publication is a consultant to utilizing S-PLUS to accomplish statistical analyses and offers either an creation to using S-PLUS and a direction in sleek statistical equipment.

Additional resources for Concise Encyclopedia of Statistics

Sample text

Based on this, we define a loss function l(a0, θ ) that accepts This is equivalent to r (1 − θ ) = (n − r) θ , H0 (where the true value of the parameter is and it simplifies to θˆ = r . The estimator mle n θ ) and a loss function l(a1, θ ) that rejects H0. for the maximum likelihood of θ is then simIf the value for the true value obtained by ply the proportion of observed successes. accepting H0 , that is, Now we return to the bayesian method. l(a0 , θ ) dθ , In this case, the Bernoulli distribution, the a priori reference distribution of the parameter θ , is expressed by: is smaller than to the one obtained by reject1 ing H0 , then we can accept H0 .

The interpretation of p-values and the combination of test results. Stat. , 9, 601–614. FURTHER READING Graphical representation Quantitative graph Bayes’ Theorem If we consider the set of the “reasons” that an event occurs, Bayes’ theorem gives a formula for the probability that the event is the Barnard, George A. direct result of a particular reason. Barnard, George Alfred was born in 1915, Therefore, Bayes’ theorem can be interpretin Walthamstow, Essex, England. He gained ed as a formula for the conditional probaa degree in mathematics from Cambridge bility of an event.

Indiv. observed over two years Cases attrib. to smoking (for two-year period) Cases attrib. 5 23 We can calculate the number of cases of breast cancer attributable to tobacco exposure by multiplying the number of individuals observed per year by the attributable risk. By dividing the number of incidents attributable to smoking in the two-year period by two, we obtain the number of cases attributable to smoking per year, and we can then determine the risk attributable to smoking in the population, denoted PAR, as shown in the following example.

Download PDF sample

Rated 4.59 of 5 – based on 32 votes