David Meintrup

Im Fokus dieses Buchs steht eine praxisorientierte Einf hrung in die Verfahren der statistischen Datenanalyse. Daher wird jede Methode, vom t-Test bis zum allgemeinen linearen Modell, anhand eines Datensatzes erl utert und mit der Statistik-Software JMP durchgerechnet. S mtliche Beispieldaten stehen zum Download zur Verf gung. Das Buch beginnt mit klassischen Elementen der Deskriptiven Statistik, graphischen Darstellungen und Grundlagen der Wahrscheinlichkeitstheorie. Im mittleren Teil werden Hypothesentests eingef hrt und in vielen Varianten besprochen. Schlie lich werden einfaktorielle und mehrfaktorielle lineare Modelle behandelt.

Statistics with JMP: Hypothesis Tests, ANOVA and Regression Peter Goos, University of Leuven and University of Antwerp, Belgium David Meintrup, University of Applied Sciences Ingolstadt, Germany A first course on basic statistical methodology using JMP This book provides a first course on parameter estimation (point estimates and confidence interval estimates), hypothesis testing, ANOVA and simple linear regression. The authors approach combines mathematical depth with numerous examples and demonstrations using the JMP software. Key features: Provides a comprehensive and rigorous presentation of introductory statistics that has been extensively classroom tested.Pays attention to the usual parametric hypothesis tests as well as to non-parametric tests (including the calculation of exact p-values).Discusses the power of various statistical tests, along with examples in JMP to enable in-sight into this difficult topic.Promotes the use of graphs and confidence intervals in addition to p-values.Course materials and tutorials for teaching are available on the book's companion website. Masters and advanced students in applied statistics, industrial engineering, business engineering, civil engineering and bio-science engineering will find this book beneficial. It also provides a useful resource for teachers of statistics particularly in the area of engineering.

Peter Goos, Department of Statistics, University of Leuven, Faculty of Bio-Science Engineering and University of Antwerp, Faculty of Applied Economics, BelgiumDavid Meintrup, Department of Mathematics and Statistics, University of Applied Sciences Ingolstadt, Faculty of Mechanical Engineering, GermanyThorough presentation of introductory statistics and probability theory, with numerous examples and applications using JMPJMP: Graphs, Descriptive Statistics and Probability provides an accessible and thorough overview of the most important descriptive statistics for nominal, ordinal and quantitative data with particular attention to graphical representations. The authors distinguish their approach from many modern textbooks on descriptive statistics and probability theory by offering a combination of theoretical and mathematical depth, and clear and detailed explanations of concepts. Throughout the book, the user-friendly, interactive statistical software package JMP is used for calculations, the computation of probabilities and the creation of figures. The examples are explained in detail, and accompanied by step-by-step instructions and screenshots. The reader will therefore develop an understanding of both the statistical theory and its applications.Traditional graphs such as needle charts, histograms and pie charts are included, as well as the more modern mosaic plots, bubble plots and heat maps. The authors discuss probability theory, particularly discrete probability distributions and continuous probability densities, including the binomial and Poisson distributions, and the exponential, normal and lognormal densities. They use numerous examples throughout to illustrate these distributions and densities.Key features: Introduces each concept with practical examples and demonstrations in JMP.Provides the statistical theory including detailed mathematical derivations.Presents illustrative examples in each chapter accompanied by step-by-step instructions and screenshots to help develop the reader’s understanding of both the statistical theory and its applications.A supporting website with data sets and other teaching materials. This book is equally aimed at students in engineering, economics and natural sciences who take classes in statistics as well as at masters/advanced students in applied statistics and probability theory. For teachers of applied statistics, this book provides a rich resource of course material, examples and applications.

Stochastische Methoden besitzen in vielen Teilen der Technik und Informatik eine hohe Relevanz. So beruhen z.B. die meisten modernen Verfahren der digitalen Nachrichtenübertragung, der Schaltkreissimulation aber auch der Verfahrenstechnik und des Financial Engineering auf stochastischen Prinzipien. Das Buch bietet eine fundierte und anwendungsbezogene Einführung in die Wahrscheinlichkeitstheorie und Statistik. Im Zentrum stehen nach einer grundlegenden Behandlung der Maß- und Integrationstheorie sowie der Grundlagen der Wahrscheinlichkeitstheorie stochastische Prozesse, insbesonders Poisson-Prozesse, Martingale und Brownsche Bewegungen. Alle Resultate werden ausführlich motiviert und exakt bewiesen. Dadurch eignet sich das Buch hervorragend zum Selbststudium und als vorlesungsbegleitende Literatur.