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Author : W. J. Linden
Publisher : Unknown
Page : 440 pages
File Size : 43,7 Mb
Release : 2011-03-21
Category : Electronic
ISBN : 0387500839
Author : Wim J. van der Linden
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 47,9 Mb
Release : 2006-01-01
Category : Social Science
ISBN : 9780387290546
Wim van der Linden was just given a lifetime achievement award by the National Council on Measurement in Education. There is no one more prominent in the area of educational testing. There are hundreds of computer-based credentialing exams in areas such as accounting, real estate, nursing, and securities, as well as the well-known admissions exams for college, graduate school, medical school, and law school - there is great need on the theory of testing. This book presents the statistical theory and practice behind constructing good tests e.g., how is the first test item selected, how are the next items selected, and when do you have enough items.
Author : Christos P. Kitsos
Publisher : Unknown
Page : 114 pages
File Size : 40,5 Mb
Release : 2014-01-31
Category : Electronic
ISBN : 3642452884
Author : John H. Skillings
Publisher : Routledge
Page : 696 pages
File Size : 52,7 Mb
Release : 2018-05-08
Category : Mathematics
ISBN : 9781351469975
Most texts on experimental design fall into one of two distinct categories. There are theoretical works with few applications and minimal discussion on design, and there are methods books with limited or no discussion of the underlying theory. Furthermore, most of these tend to either treat the analysis of each design separately with little attempt to unify procedures, or they will integrate the analysis for the designs into one general technique. A First Course in the Design of Experiments: A Linear Models Approach stands apart. It presents theory and methods, emphasizes both the design selection for an experiment and the analysis of data, and integrates the analysis for the various designs with the general theory for linear models. The authors begin with a general introduction then lead students through the theoretical results, the various design models, and the analytical concepts that will enable them to analyze virtually any design. Rife with examples and exercises, the text also encourages using computers to analyze data. The authors use the SAS software package throughout the book, but also demonstrate how any regression program can be used for analysis. With its balanced presentation of theory, methods, and applications and its highly readable style, A First Course in the Design of Experiments proves ideal as a text for a beginning graduate or upper-level undergraduate course in the design and analysis of experiments.
Author : Kenneth G. Russell
Publisher : CRC Press
Page : 226 pages
File Size : 55,6 Mb
Release : 2018-12-14
Category : Mathematics
ISBN : 9780429615627
Generalized Linear Models (GLMs) allow many statistical analyses to be extended to important statistical distributions other than the Normal distribution. While numerous books exist on how to analyse data using a GLM, little information is available on how to collect the data that are to be analysed in this way. This is the first book focusing specifically on the design of experiments for GLMs. Much of the research literature on this topic is at a high mathematical level, and without any information on computation. This book explains the motivation behind various techniques, reduces the difficulty of the mathematics, or moves it to one side if it cannot be avoided, and gives examples of how to write and run computer programs using R. Features The generalisation of the linear model to GLMs Background mathematics, and the use of constrained optimisation in R Coverage of the theory behind the optimality of a design Individual chapters on designs for data that have Binomial or Poisson distributions Bayesian experimental design An online resource contains R programs used in the book This book is aimed at readers who have done elementary differentiation and understand minimal matrix algebra, and have familiarity with R. It equips professional statisticians to read the research literature. Nonstatisticians will be able to design their own experiments by following the examples and using the programs provided.
Author : Sandmeier, Nino
Publisher : Universitätsverlag der TU Berlin
Page : 236 pages
File Size : 50,6 Mb
Release : 2022-12-01
Category : Technology & Engineering
ISBN : 9783798332478
This thesis deals with the development of a model-based adaptive test design strategy with a focus on steady-state combustion engine calibration. The first research topic investigates the question how to handle limits in the input domain during an adaptive test design procedure. The second area of scope aims at identifying the test design method providing the best model quality improvement in terms of overall model prediction error. To consider restricted areas in the input domain, a convex hull-based solution involving a convex cone algorithm is developed, the outcome of which serves as a boundary model for a test point search. A solution is derived to enable the application of the boundary model to high-dimensional problems without calculating the exact convex hull and cones. Furthermore, different data-driven engine modeling methods are compared, resulting in the Gaussian process model as the most suitable one for a model-based calibration. To determine an appropriate test design method for a Gaussian process model application, two new strategies are developed and compared to state-of-the-art methods. A simulation-based study shows the most benefit applying a modified mutual information test design, followed by a newly developed relevance-based test design with less computational effort. The boundary model and the relevance-based test design are integrated into a multicriterial test design strategy that is tailored to match the requirements of combustion engine test bench measurements. A simulation-based study with seven and nine input parameters and four outputs each offered an average model quality improvement of 36 % and an average measured input area volume increase of 65 % compared to a non-adaptive space-filling test design. The multicriterial test design was applied to a test bench measurement with seven inputs for verification. Compared to a space-filling test design measurement, the improvement could be confirmed with an average model quality increase of 17 % over eight outputs and a 34 % larger measured input area. Diese Arbeit befasst sich mit der Entwicklung einer modellbasierten adaptiven Versuchsplanungsstrategie für die Anwendung in der Applikation des Stationärverhaltens von Verbrennungsmotoren. Der erste Forschungsteil untersucht, wie sich Grenzen im Eingangsraum in die Versuchsplanung eines adaptiven Prozesses einbinden lassen. Ein weiterer Fokus liegt auf der Identifikation einer modellbasierten Versuchsplanung, die eine bestmögliche Verbesserung der globalen Modellqualität hinsichtlich des Prädiktionsfehlers ermöglicht. Es wird ein Grenzraummodell auf Basis der konvexen Hülle unter Zuhilfenahme eines Algorithmus zur Bestimmung eines konvexen Konus entwickelt, das als Grundlage für eine Versuchsplanung in beschränkten Eingangsräumen verwendet wird. Um die Anwendbarkeit bei hochdimensionalen Problemstellungen zu gewährleisten, wird ein Verfahren vorgestellt, das eine Berechnung auch ohne die Bestimmung der exakten konvexen Hülle und konvexen Konen ermöglicht. Des Weiteren werden verschiedene Methoden zur datengetriebenen Modellbildung des Verbrennungsmotors verglichen, wobei das Gauß-Prozess Modell als die geeignetste Modellierungsmethode hervorgeht. Um die bestmögliche Versuchsplanungsmethode bei der Anwendung des Gauß-Prozess Modells zu ermitteln, werden zwei neue Strategien entwickelt und mit verfügbaren Methoden aus der Literatur verglichen. Eine simulationsbasierte Studie zeigt, dass eine angepasste Mutual Information Methode die besten Ergebnisse liefert. Ein neu entwickeltes relevanzbasiertes Verfahren erreicht die zweitbesten Ergebnisse, bietet aber einen geringeren Berechnungsaufwand als das Mutual Information Verfahren. Das Grenzmodell und das relevanzbasierte Verfahren werden in einem multikriteriellen Versuchsplanungsverfahren zusammengeführt, das an die Anforderungen von Messungen an einem Verbrennungsmotorenprüfstand angepasst ist. In einer simulationsbasierten Studie mit sieben bzw. neun Eingangsparametern und jeweils vier Ausgängen konnte eine durchschnittliche Modellqualitätsverbesserung von 36 % und eine mittlere Vergrößerung des vermessenen Eingangsraumvolumens von 65 % im Vergleich zu einer nichtadaptiven raumfüllenden Versuchsplanung gezeigt werden. Das multikriterielle Versuchsplanungsverfahren wurde anhand von Prüfstandsmessungen mit sieben Eingangsparametern verifiziert. Im Vergleich zu einer raumfüllenden Versuchsplanung konnte eine mittlere Modellqualitätsverbesserung über alle acht Ausgänge von 17 % und ein um 34 % vergrößertes vermessenes Eingangsraumvolumen erreicht werden, wodurch die Ergebnisse der Simulationen bestätigt werden konnten.
Author : Rocio Fernandez-Ballesteros
Publisher : SAGE
Page : 1209 pages
File Size : 44,8 Mb
Release : 2002-12-20
Category : Psychology
ISBN : 9781847877178
′once you let a clinical psychologist lay hands on this book, it is quite difficult to get it back again′ - Martin Guha, Librarian, Institute of Psychiatry, London The Encyclopedia of Psychological Assessment is a landmark reference work and constitutes a definitive resource for academics, practitioners and students working in any field of applied psychological science. Psychological assessment is a key component of psychological work. Devices of scientific assessment are necessary for adequate describing, diagnosis, predicting, explaining or changing the behaviour of all subjects under examination. This double-volume collection offers complete coverage to facilitate action in each of these areas and will consequently be invaluable to psychologists in any applied setting. The two volumes of the Encyclopedia of Psychological Assessment contain a series of 235 entries, organized alphabetically, and covering a variety of fields. Each entry includes a general conceptual and methodological overview, a section on relevant assessment devices, followed by links to related concepts in the Encyclopedia and a list of references. The Encyclopedia of Psychological Assessment provides: - A comprehensive network for psychological assessment as a conceptual and methodological discipline, and as a professional activity - An overview of the complexity of assessment, which involves not only testing, but also a process of decision-making for answering relevant questions that arise in the different applied fields - A presentation of relevant issues from basic theory (theoretical perspectives, ethics) and methodology (validity, reliability, item response theory) to technology and modes of assessment (tests, instruments and equipment for measuring behavioral operations) - An attempt to unify this diverse field by offering full coverage of all areas from the most traditional, such as clinical, educational and work and organizational psychology, to the most recent applications linked to health, gerontology, neuropsychology, psychophysiology and environmental assessment. The Encyclopedia of Psychological Assessment offers a truly international perspective, both in terms of the selected authors and chosen entries. It aims to provide an integrated view of assessment, bringing together knowledge dispersed throughout several methodological and applied fields, but united in terms of its relevance for assessment. It is an essential purchase for any library with an existing collection or concern with the field of psychological science in general.
Author : Alina von Davier
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 49,9 Mb
Release : 2010-10-19
Category : Education
ISBN : 9780387981383
The goal of this book is to emphasize the formal statistical features of the practice of equating, linking, and scaling. The book encourages the view and discusses the quality of the equating results from the statistical perspective (new models, robustness, fit, testing hypotheses, statistical monitoring) as opposed to placing the focus on the policy and the implications, which although very important, represent a different side of the equating practice. The book contributes to establishing “equating” as a theoretical field, a view that has not been offered often before. The tradition in the practice of equating has been to present the knowledge and skills needed as a craft, which implies that only with years of experience under the guidance of a knowledgeable practitioner could one acquire the required skills. This book challenges this view by indicating how a good equating framework, a sound understanding of the assumptions that underlie the psychometric models, and the use of statistical tests and statistical process control tools can help the practitioner navigate the difficult decisions in choosing the final equating function. This book provides a valuable reference for several groups: (a) statisticians and psychometricians interested in the theory behind equating methods, in the use of model-based statistical methods for data smoothing, and in the evaluation of the equating results in applied work; (b) practitioners who need to equate tests, including those with these responsibilities in testing companies, state testing agencies, and school districts; and (c) instructors in psychometric, measurement, and psychology programs.
Author : Alvin C. Rencher,G. Bruce Schaalje
Publisher : John Wiley & Sons
Page : 690 pages
File Size : 51,9 Mb
Release : 2008-01-07
Category : Mathematics
ISBN : 9780470192603
The essential introduction to the theory and application of linear models—now in a valuable new edition Since most advanced statistical tools are generalizations of the linear model, it is neces-sary to first master the linear model in order to move forward to more advanced concepts. The linear model remains the main tool of the applied statistician and is central to the training of any statistician regardless of whether the focus is applied or theoretical. This completely revised and updated new edition successfully develops the basic theory of linear models for regression, analysis of variance, analysis of covariance, and linear mixed models. Recent advances in the methodology related to linear mixed models, generalized linear models, and the Bayesian linear model are also addressed. Linear Models in Statistics, Second Edition includes full coverage of advanced topics, such as mixed and generalized linear models, Bayesian linear models, two-way models with empty cells, geometry of least squares, vector-matrix calculus, simultaneous inference, and logistic and nonlinear regression. Algebraic, geometrical, frequentist, and Bayesian approaches to both the inference of linear models and the analysis of variance are also illustrated. Through the expansion of relevant material and the inclusion of the latest technological developments in the field, this book provides readers with the theoretical foundation to correctly interpret computer software output as well as effectively use, customize, and understand linear models. This modern Second Edition features: New chapters on Bayesian linear models as well as random and mixed linear models Expanded discussion of two-way models with empty cells Additional sections on the geometry of least squares Updated coverage of simultaneous inference The book is complemented with easy-to-read proofs, real data sets, and an extensive bibliography. A thorough review of the requisite matrix algebra has been addedfor transitional purposes, and numerous theoretical and applied problems have been incorporated with selected answers provided at the end of the book. A related Web site includes additional data sets and SAS® code for all numerical examples. Linear Model in Statistics, Second Edition is a must-have book for courses in statistics, biostatistics, and mathematics at the upper-undergraduate and graduate levels. It is also an invaluable reference for researchers who need to gain a better understanding of regression and analysis of variance.
Author : Wim J. van der Linden
Publisher : CRC Press
Page : 493 pages
File Size : 40,6 Mb
Release : 2017-03-31
Category : Mathematics
ISBN : 9781315360447
Drawing on the work of internationally acclaimed experts in the field, Handbook of Item Response Theory, Volume Two: Statistical Tools presents classical and modern statistical tools used in item response theory (IRT). While IRT heavily depends on the use of statistical tools for handling its models and applications, systematic introductions and reviews that emphasize their relevance to IRT are hardly found in the statistical literature. This second volume in a three-volume set fills this void. Volume Two covers common probability distributions, the issue of models with both intentional and nuisance parameters, the use of information criteria, methods for dealing with missing data, and model identification issues. It also addresses recent developments in parameter estimation and model fit and comparison, such as Bayesian approaches, specifically Markov chain Monte Carlo (MCMC) methods.
Author : Kenneth Graham Russell
Publisher : Unknown
Page : 128 pages
File Size : 55,9 Mb
Release : 2019
Category : MATHEMATICS
ISBN : 1498773168
"While there are numerous books on the analysis of Generalized Linear Models (GLMs), there is very little information available on how to design the experiments that will collect the data. This book will describe the theory and methods for designing experiments to collect data that will be analysed by GLMs. It shows that the extensive theory underlying design for linear models does not work for GLMs, and gives practical guidance as to how best to design experiments for GLMs. It includes lots of examples to illustrate the topics, and is supplemented by R code for their implementation"--
Author : André I. Khuri,Thomas Mathew,Bimal K. Sinha
Publisher : Wiley-Interscience
Page : 0 pages
File Size : 40,7 Mb
Release : 1998-01-29
Category : Mathematics
ISBN : 0471156531
An advanced discussion of linear models with mixed or random effects. In recent years a breakthrough has occurred in our ability to draw inferences from exact and optimum tests of variance component models, generating much research activity that relies on linear models with mixed and random effects. This volume covers the most important research of the past decade as well as the latest developments in hypothesis testing. It compiles all currently available results in the area of exact and optimum tests for variance component models and offers the only comprehensive treatment for these models at an advanced level. Statistical Tests for Mixed Linear Models: Combines analysis and testing in one self-contained volume. Describes analysis of variance (ANOVA) procedures in balanced and unbalanced data situations. Examines methods for determining the effect of imbalance on data analysis. Explains exact and optimum tests and methods for their derivation. Summarizes test procedures for multivariate mixed and random models. Enables novice readers to skip the derivations and discussions on optimum tests. Offers plentiful examples and exercises, many of which are numerical in flavor. Provides solutions to selected exercises. Statistical Tests for Mixed Linear Models is an accessible reference for researchers in analysis of variance, experimental design, variance component analysis, and linear mixed models. It is also an important text for graduate students interested in mixed models.
Author : Wim J. van der Linden
Publisher : CRC Press
Page : 427 pages
File Size : 42,5 Mb
Release : 2016-04-08
Category : Mathematics
ISBN : 9781498785686
Drawing on the work of internationally acclaimed experts in the field, Handbook of Item Response Theory, Volume Two: Statistical Tools presents classical and modern statistical tools used in item response theory (IRT). While IRT heavily depends on the use of statistical tools for handling its models and applications, systematic introductions and reviews that emphasize their relevance to IRT are hardly found in the statistical literature. This second volume in a three-volume set fills this void. Volume Two covers common probability distributions, the issue of models with both intentional and nuisance parameters, the use of information criteria, methods for dealing with missing data, and model identification issues. It also addresses recent developments in parameter estimation and model fit and comparison, such as Bayesian approaches, specifically Markov chain Monte Carlo (MCMC) methods.
Author : Wim J. van der Linden,Cees A.W. Glas
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 45,6 Mb
Release : 2010-03-10
Category : Social Science
ISBN : 9780387854618
The arrival of the computer in educational and psychological testing has led to the current popularity of adaptive testing---a testing format in which the computer uses statistical information about the test items to automatically adapt their selection to a real-time update of the test taker’s ability estimate. This book covers such key features of adaptive testing as item selection and ability estimation, adaptive testing with multidimensional abilities, sequencing adaptive test batteries, multistage adaptive testing, item-pool design and maintenance, estimation of item and item-family parameters, item and person fit, as well as adaptive mastery and classification testing. It also shows how these features are used in the daily operations of several large-scale adaptive testing programs.
Author : Thomas M. Haladyna,Steven M. Downing
Publisher : Routledge
Page : 793 pages
File Size : 44,8 Mb
Release : 2011-04-26
Category : Education
ISBN : 9781135283384
Despite the fact that test development is a growth industry that cuts across all levels of education and all the professions, there has never been a comprehensive, research-oriented Handbook to which everyone (developers and consumers) can turn for guidance. That is the mission of this book. The Handbook of Test Development brings together well-known scholars and test-development practitioners to present chapters on all aspects of test development. Each chapter contributor is not only a recognized expert with an academic and research background in their designated topic, each one has also had hands-on experience in various aspects of test development. This thirty two-chapter volume is organized into six sections: foundations, content, item development, test design, test production and administration, and post-test activities. The Handbook provides extensive treatment of such important but unrecognized topics as contracting for testing services, item banking, designing tests for small testing program, and writing technical reports. The Handbook is based on the Standards for Educational and Psychological Testing, which serve as the foundation for sound test development practice. These chapters also suggest best test development practices and highlight methods to improve test validity evidence. This book is appropriate for graduate courses and seminars that deal with test development and usage, professional testing services and credentialing agencies, state and local boards of education, and academic libraries serving these groups.