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The majority of modern instruments are computerised and provide incredible amounts of data. Methods that take advantage of the flood of data are now available; importantly they do not emulate 'graph paper analyses' on the computer. Modern computational methods are able to give us insights into data, but analysis or data fitting in chemistry requires the quantitative understanding of chemical processes. The results of this analysis allows the modelling and prediction of processes under new conditions, therefore saving on extensive experimentation. Practical Data Analysis in Chemistry exe
Analysis of variance. --- Chemistry --- Statistical methods. --- ANOVA (Analysis of variance) --- Variance analysis --- Mathematical statistics --- Experimental design
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Analysis of variance. --- ANOVA (Analysis of variance) --- Variance analysis --- Mathematical statistics --- Experimental design
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Analysis of variance (ANOVA) is a core technique for analysing data in the Life Sciences. This reference book bridges the gap between statistical theory and practical data analysis by presenting a comprehensive set of tables for all standard models of analysis of variance and covariance with up to three treatment factors. The book will serve as a tool to help post-graduates and professionals define their hypotheses, design appropriate experiments, translate them into a statistical model, validate the output from statistics packages and verify results. The systematic layout makes it easy for readers to identify which types of model best fit the themes they are investigating, and to evaluate the strengths and weaknesses of alternative experimental designs. In addition, a concise introduction to the principles of analysis of variance and covariance is provided, alongside worked examples illustrating issues and decisions faced by analysts.
Biometry. --- Analysis of variance. --- Analysis of variance --- Biometry --- Biological statistics --- Biology --- Biometrics (Biology) --- Biostatistics --- Biomathematics --- Statistics --- ANOVA (Analysis of variance) --- Variance analysis --- Mathematical statistics --- Experimental design --- Statistical methods
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Traditional approaches to ANOVA and ANCOVA are now being replaced by a General Linear Modeling (GLM) approach. This book begins with a brief history of the separate development of ANOVA and regression analyses and demonstrates how both analysis forms are subsumed by the General Linear Model. A simple single independent factor ANOVA is analysed first in conventional terms and then again in GLM terms to illustrate the two approaches. The text then goes on to cover the main designs, both independent and related ANOVA and ANCOVA, single and multi-factor designs. The conventional
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Designed as a self-contained text, this book covers a wide spectrum of topics on portfolio theory. It covers both the classical-mean-variance portfolio theory as well as non-mean-variance portfolio theory. The book covers topics such as optimal portfolio strategies, bond portfolio optimization and risk management of portfolios. In order to ensure that the book is self-contained and not dependent on any pre-requisites, the book includes three chapters on basics of financial markets, probability theory and asset pricing models, which have resulted in a holistic narrative of the topic. Retaining the spirit of the classical works of stalwarts like Markowitz, Black, Sharpe, etc., this book includes various other aspects of portfolio theory, such as discrete and continuous time optimal portfolios, bond portfolios and risk management. The increase in volume and diversity of banking activities has resulted in a concurrent enhanced importance of portfolio theory, both in terms of management perspective (including risk management) and the resulting mathematical sophistication required. Most books on portfolio theory are written either from the management perspective, or are aimed at advanced graduate students and academicians. This book bridges the gap between these two levels of learning. With many useful solved examples and exercises with solutions as well as a rigorous mathematical approach of portfolio theory, the book is useful to undergraduate students of mathematical finance, business and financial management.
Analysis of variance. --- Portfolio management --- Mathematical models. --- ANOVA (Analysis of variance) --- Variance analysis --- Mathematical statistics --- Experimental design --- Anàlisi de variància --- Gestió de cartera --- Models matemàtics
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Analysis of variance - ANOVA - constitutes the main set of statistical methods through which undergraduate and postgraduate students carry out multivariate analysis. This textbook adopts an innovative approach to ANOVA, placing emphasis on confidence intervals rather than tests of significance.
Mathematical statistics --- Analysis of variance. --- Confidence intervals. --- Confidence limits --- Confidence regions --- Intervals, Confidence --- Limits, Confidence --- Regions, Confidence --- Sampling (Statistics) --- Statistical hypothesis testing --- Statistical tolerance regions --- ANOVA (Analysis of variance) --- Variance analysis --- Experimental design
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Analysis of variance is the backbone of experimental research. This book is a clear and straightforward guide to how to do the analyses, with an emphasis on how to interpret statistical results and translate them into prose that will clearly tell the audience what the data are saying.
Analysis of variance. --- Experimental design. --- Design of experiments --- Statistical design --- Mathematical optimization --- Research --- Science --- Statistical decision --- Statistics --- Analysis of means --- Analysis of variance --- ANOVA (Analysis of variance) --- Variance analysis --- Mathematical statistics --- Experimental design --- Experiments --- Methodology
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This book provides an alternative method for measuring individual differences in psychological, educational, and other behavioral sciences studies. It is based on the assumptions of ordinal statistics as explained in Norman Cliff's 1996 Ordinal Methods for Behavioral Data Analysis. It provides the necessary background on ordinal measurement to permit its use to assess psychological and psychophysical tests and scales and interpret the data obtained. The authors believe that some of the behavioral measurement models used today do not fit the data or are inherently self-contradictory. App
Psychology --- Social sciences --- Analysis of variance. --- Psychological tests --- Mental tests --- Psychological assessment --- Tests, Psychological --- Testing --- Clinical psychology --- Educational tests and measurements --- ANOVA (Analysis of variance) --- Variance analysis --- Mathematical statistics --- Experimental design --- Factor analysis --- Psychometrics --- Mathematical models. --- Statistical methods. --- Methodology
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« Comme toutes les sciences, les sciences cognitives sont confrontées à la variabilité des phénomènes qu'elles étudient, et cherchent à dégager de cette variabilité un ensemble de régularités, d'invariants, sur lesquels ancrer les connaissances. Cette quête d'invariance implique des choix quant aux formes de variabilité à prendre en considération. Certaines, jugées pertinentes pour l'objet d'étude, sont utilisées ou manipulées pour en extraire des invariants, tandis que d'autres, jugées sans importance, sont négligées ou neutralisées. Concernant ces choix, les opinions et les pratiques sont changeantes selon les époques, l'état d'avancement des disciplines ou les courants théoriques au sein d'une même discipline. Des formes de variabilité ignorées à une époque peuvent devenir intéressantes un peu plus tard. Il semble précisément que nous soyons à une époque où le regard porté sur la variabilité évolue, notamment dans les sciences cognitives. La recherche d'universaux a souvent conduit à centrer l'analyse sur les tendances moyennes et à attribuer la variabilité observée autour de ces tendances aux erreurs de mesure ou à des bruits parasites sans grande importance. Or, dans beaucoup de disciplines concernées par la cognition, le rôle reconnu à la variabilité dans les mécanismes adaptatifs et, plus particulièrement, dans les processus d'auto-organisation, conduit à reconsidérer son statut. Cette évolution des idées suscite un regain d'intérêt pour l'étude des différentes formes de variabilité - intra-individuelle, interindividuelle, intergroupes, inter-langues, interculturelles, etc. - et conduit souvent à questionner, repenser, les invariants dans le domaine de la cognition. La recherche de nouvelles formes d'articulation entre les variabilités et les invariants apparaît donc comme un des thèmes émergents autour desquels peuvent se nouer - entre les sciences cognitives - des échanges fructueux aux plans épistémologique, théorique et méthodologique. »
Mental Processes --- Brain --- Models, Psychological --- Cognitive science --- Variability (Psychometrics) --- Analysis of variance --- physiology --- Statistical methods --- Analysis of variance. --- Statistical methods. --- ANOVA (Analysis of variance) --- Variance analysis --- Mathematical statistics --- Experimental design --- Difference (Psychology) --- Psychometrics --- Science --- Philosophy of mind --- Mental Processes - congresses --- Brain - physiology - congresses --- Models, Psychological - congresses --- Cognitive science - Statistical methods --- sciences cognitives --- sciences du langage --- variabilités --- sociologie
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This textbook provides a wide-ranging introduction to the use and theory of linear models for analyzing data. The author's emphasis is on providing a unified treatment of linear models, including analysis of variance models and regression models, based on projections, orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course. All of the standard topics are covered in depth: ANOVA, estimation including Bayesian estimation, hypothesis testing, multiple comparisons, regression analysis, and experimental design models. In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection. This new edition includes a more extensive discussion of best prediction and associated ideas of R2, as well as new sections on inner products and perpendicular projections for more general spaces and Milliken and Graybill’s generalization of Tukey’s one degree of freedom for nonadditivity test.
Analysis of variance. --- Linear models (Statistics). --- Linear models (Statistics) --- Analysis of variance --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- ANOVA (Analysis of variance) --- Variance analysis --- Models, Linear (Statistics) --- Statistics. --- Statistical Theory and Methods. --- Mathematical statistics --- Experimental design --- Mathematical models --- Statistics --- Mathematical statistics. --- Statistical inference --- Statistics, Mathematical --- Probabilities --- Sampling (Statistics) --- Statistical methods --- Statistics . --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics
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