Dieter Rasch

Dieses Buch führt in die angewandte Statistik für Agrarwissenschaften ein und unterstützt bei der Forschung in der Pflanzen- und Tierproduktion und im Feldversuchswesen. Es nutzt ausgiebig das frei verfügbare Programmpaket R: Über das gesamte Buch hinweg werden im Rahmen umfangreicher Beispiele passende R-Programmcodes angegeben und erläutert. Die Codes können mit eigenen Daten kombiniert und so zur Planung und Auswertung eigener Versuche verwendet werden. So können etwa Wachstumsfunktionen angepasst, Varianzanalysen berechnet oder optimale Versuchspläne und minimale Stichprobenumfänge gefunden werden und vieles mehr. Eine Installationsbeschreibung für R wird ebenfalls zur Verfügung gestellt. Zahlreiche Übungsaufgaben mit Lösungen ergänzen das Buch, so dass es als Lehr- und Nachschlagewerk nutzbar ist. Besonders hervorzuheben ist, dass auch balancierte unvollständige Blockanlagen (BUB) erläutert werden und erstmalig eine vollständige Liste kleinster (mit möglichst geringer Anzahl von Blocks) BUB für bis zu v = 25 Behandlungen und Blockgrößen = v/2 im Netz zur Verfügung gestellt wird. Für Sortenversuche sind die BUB allerdings oft nicht nutzbar, weil sie zu viele Wiederholungen erfordern. Dafür haben sich „verallgemeinerte Gitter“ oder alpha-Anlagen bewährt, die ebenfalls behandelt werden.

Instructs readers on how to use methods of statistics and experimental design with R software Applied statistics covers both the theory and the application of modern statistical and mathematical modelling techniques to applied problems in industry, public services, commerce, and research. It proceeds from a strong theoretical background, but it is practically oriented to develop one's ability to tackle new and non-standard problems confidently. Taking a practical approach to applied statistics, this user-friendly guide teaches readers how to use methods of statistics and experimental design without going deep into the theory. Applied Statistics: Theory and Problem Solutions with R includes chapters that cover R package sampling procedures, analysis of variance, point estimation, and more. It follows on the heels of Rasch and Schott's Mathematical Statistics via that book's theoretical background—taking the lessons learned from there to another level with this book’s addition of instructions on how to employ the methods using R. But there are two important chapters not mentioned in the theoretical back ground as Generalised Linear Models and Spatial Statistics. Offers a practical over theoretical approach to the subject of applied statisticsProvides a pre-experimental as well as post-experimental approach to applied statisticsFeatures classroom tested materialApplicable to a wide range of people working in experimental design and all empirical sciencesIncludes 300 different procedures with R and examples with R-programs for the analysis and for determining minimal experimental sizes Applied Statistics: Theory and Problem Solutions with R will appeal to experimenters, statisticians, mathematicians, and all scientists using statistical procedures in the natural sciences, medicine, and psychology amongst others.

Experimental design is often overlooked in the literature of applied and mathematical statistics: statistics is taught and understood as merely a collection of methods for analyzing data. Consequently, experimenters seldom think about optimal design, including prerequisites such as the necessary sample size needed for a precise answer for an experimental question.Providing a concise introduction to experimental design theory, Optimal Experimental Design with R: Introduces the philosophy of experimental design Provides an easy process for constructing experimental designs and calculating necessary sample size using R programsTeaches by example using a custom made R program package: OPDOE Consisting of detailed, data-rich examples, this book introduces experimenters to the philosophy of experimentation, experimental design, and data collection. It gives researchers and statisticians guidance in the construction of optimum experimental designs using R programs, including sample size calculations, hypothesis testing, and confidence estimation. A final chapter of in-depth theoretical details is included for interested mathematical statisticians.

Explores mathematical statistics in its entirety—from the fundamentals to modern methods This book introduces readers to point estimation, confidence intervals, and statistical tests. Based on the general theory of linear models, it provides an in-depth overview of the following: analysis of variance (ANOVA) for models with fixed, random, and mixed effects; regression analysis is also first presented for linear models with fixed, random, and mixed effects before being expanded to nonlinear models; statistical multi-decision problems like statistical selection procedures (Bechhofer and Gupta) and sequential tests; and design of experiments from a mathematical-statistical point of view. Most analysis methods have been supplemented by formulae for minimal sample sizes. The chapters also contain exercises with hints for solutions. Translated from the successful German text, Mathematical Statistics requires knowledge of probability theory (combinatorics, probability distributions, functions and sequences of random variables), which is typically taught in the earlier semesters of scientific and mathematical study courses. It teaches readers all about statistical analysis and covers the design of experiments. The book also describes optimal allocation in the chapters on regression analysis. Additionally, it features a chapter devoted solely to experimental designs. Classroom-tested with exercises includedPractice-oriented (taken from day-to-day statistical work of the authors)Includes further studies including design of experiments and sample sizingPresents and uses IBM SPSS Statistics 24 for practical calculations of data Mathematical Statistics is a recommended text for advanced students and practitioners of math, probability, and statistics.

"Mathematische Statistik" hat wegen des großen Anwendungsbedarfes stetig an Attraktivität gewonnen - und auch theoretisch sind neue Ansätze entwickelt worden. Ein besonderer Schwerpunkt liegt auf der Versuchsplanung, die häufig gegenüber der Auswertung vernachlässigt wird. Unter konsequenter Berücksichtigung der Entwicklungen der letzten Jahrzehnte ist ein neues Buch entstanden. Kenntnisse in der Maßtheorie und der Wahrscheinlichkeitsrechnung sind hilfreich, aber nicht notwendig, da die Autoren die Materie leicht verständlich beschrieben haben. Ein Schwerpunkt liegt auf der Versuchsplanung, die zu oft vernachlässigt wird und oft neben der Auswertung benachteiligt ist. Konsequenterweise nimmt in diesem Buch die Planung des Stichprobenumfangs und die Beschreibung von Versuchsanlagen einen großen Raum ein - immer eingebettet in die passenden Auswertungsverfahren wie die Varianz- und Regressionsanalyse. Ein Muss für alle Natur- und Ingenieurwissenschaftler, die empirisch arbeiten und daneben auch an der Begründung der Methoden interessiert sind.

Statistics in Psychology covers all statistical methods needed in education and research in psychology. This book looks at research questions when planning data sampling, that is to design the intended study and to calculate the sample sizes in advance. In other words, no analysis applies if the minimum size is not determined in order to fulfil certain precision requirements. The book looks at the process of empirical research into the following seven stages: Formulation of the problemStipulation of the precision requirementsSelecting the statistical model for the planning and analysisThe (optimal) design of the experiment or surveyPerforming the experiment or the surveyStatistical analysis of the observed resultsInterpretation of the results.

Experimental design is often overlooked in the literature of applied and mathematical statistics: statistics is taught and understood as merely a collection of methods for analyzing data. Consequently, experimenters seldom think about optimal design, including prerequisites such as the necessary sample size needed for a precise answer for an experimental question.Providing a concise introduction to experimental design theory, Optimal Experimental Design with R: Introduces the philosophy of experimental design Provides an easy process for constructing experimental designs and calculating necessary sample size using R programsTeaches by example using a custom made R program package: OPDOE Consisting of detailed, data-rich examples, this book introduces experimenters to the philosophy of experimentation, experimental design, and data collection. It gives researchers and statisticians guidance in the construction of optimum experimental designs using R programs, including sample size calculations, hypothesis testing, and confidence estimation. A final chapter of in-depth theoretical details is included for interested mathematical statisticians.

This volume is the English version of the second edition of the bilingual textbook by Rasch, Verdooren and Gowers (1999). A parallel version in German is available from the same publisher. This book is intended for students and experimental scientists in all disciplines and presumes only elementary statistical knowledge. This prerequisite knowledge is summarised briefly in appendix B. Knowledge of differential and integral calculus is not necessary for the understanding of the text. Matrix notation is explained in Appendix C. As well as the correction of errors, the present edition differs from the first by the introduction of some new sections, such as that on testing the equality of two proportions (Section 3.4.4), and the inclusion of sequential tests. All new material is accompanied by descriptions of the relevant SPSS and CADEMO procedures.

In diesem leicht verstandlich geschriebenen Buch wird Wert darauf gelegt, dass vor Beginn einer Forschungsarbeit eine exakte Fragestellung und ein optimaler Versuchsplan erarbeitet wird, der u.a. auch den minimalen Versuchsumfang fur vorgegebene vertretbare Risiken enthalt. Nach einer Einfuhrung in die Konstruktion von Blockanlagen werden Konfidenzschatzungen, Auswahlverfahren und Tests fur Mittelwerte, Wahrscheinlichkeiten und Varianzen vorgestellt. Neben den bekannten Verfahren sind sequentielle Dreieckstests enthalten, die oft zur Einsparung von Beobachtungen fuhren. Ein Kapitel ist der Varianzanalyse, ein weiteres der Regressions- und Korrelationsanalyse gewidmet. Sowohl fur die Versuchsplanung als auch fur die Auswertung werden kommerzielle Programmpakete eingesetzt."