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Identifiability Analysis
Identifiability analysis is a group of methods found in mathematical statistics that are used to determine how well the parameters of a model are estimated by the quantity and quality of experimental data. Therefore, these methods explore not only identifiability of a model, but also the relation of the model to particular experimental data or, more generally, the data collection process. Introduction Assuming a model is fit to experimental data, the goodness of fit does not reveal how reliable the parameter estimates are. The goodness of fit is also not sufficient to prove the model was chosen correctly. For example, if the experimental data is Noise (spectral phenomenon), noisy or if there is an insufficient number of data points, it could be that the estimated parameter values could vary drastically without significantly influencing the goodness of fit. To address these issues the identifiability analysis could be applied as an important step to ensure correct choice of model, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Statistics
Mathematical statistics is the application of probability theory and other mathematical concepts to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques that are commonly used in statistics include mathematical analysis, linear algebra, stochastic analysis, differential equations, and measure theory. Introduction Statistical data collection is concerned with the planning of studies, especially with the design of randomized experiments and with the planning of surveys using random sampling. The initial analysis of the data often follows the study protocol specified prior to the study being conducted. The data from a study can also be analyzed to consider secondary hypotheses inspired by the initial results, or to suggest new studies. A secondary analysis of the data from a planned study uses tools from data analysis, and the process of doing this is mathematical statistics. Data analysis is divided into: * descriptive stati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Experimental Data
Experimental data in science and engineering is data produced by a measurement, test method, experimental design or quasi-experimental design. In clinical research any data produced are the result of a clinical trial. Experimental data may be qualitative or quantitative, each being appropriate for different investigations. Generally speaking, qualitative data are considered more descriptive and can be subjective in comparison to having a continuous measurement scale that produces numbers. Whereas quantitative data are gathered in a manner that is normally experimentally repeatable, qualitative information is usually more closely related to phenomenal meaning and is, therefore, subject to interpretation by individual observers. Experimental data can be reproduced by a variety of different investigators and mathematical analysis may be performed on these data. See also * Accuracy and precision * Computer science * Data analysis * Empiricism * Epistemology * Informatic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Identifiability
In statistics, identifiability is a property which a model must satisfy for precise inference to be possible. A model is identifiable if it is theoretically possible to learn the true values of this model's underlying parameters after obtaining an infinite number of observations from it. Mathematically, this is equivalent to saying that different values of the parameters must generate different probability distributions of the observable variables. Usually the model is identifiable only under certain technical restrictions, in which case the set of these requirements is called the identification conditions. A model that fails to be identifiable is said to be non-identifiable or unidentifiable: two or more parametrizations are observationally equivalent. In some cases, even though a model is non-identifiable, it is still possible to learn the true values of a certain subset of the model parameters. In this case we say that the model is partially identifiable. In other cases it m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Data Collection
Data collection or data gathering is the process of gathering and measuring information on targeted variables in an established system, which then enables one to answer relevant questions and evaluate outcomes. Data collection is a research component in all study fields, including physical science, physical and social sciences, humanities, and business. While methods vary by discipline, the emphasis on ensuring accurate and honest collection remains the same. The goal for all data collection is to capture evidence that allows data analysis to lead to the formulation of credible answers to the questions that have been posed. Regardless of the field of or preference for defining data (Quantitative method, quantitative or Qualitative method, qualitative), accurate data collection is essential to maintain research integrity. The selection of appropriate data collection instruments (existing, modified, or newly developed) and delineated instructions for their correct use reduce the l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Goodness Of Fit
The goodness of fit of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected under the model in question. Such measures can be used in statistical hypothesis testing, e.g. to test for normality of residuals, to test whether two samples are drawn from identical distributions (see Kolmogorov–Smirnov test), or whether outcome frequencies follow a specified distribution (see Pearson's chi-square test). In the analysis of variance, one of the components into which the variance is partitioned may be a lack-of-fit sum of squares. Fit of distributions In assessing whether a given distribution is suited to a data-set, the following tests and their underlying measures of fit can be used: * Bayesian information criterion * Kolmogorov–Smirnov test * Cramér–von Mises criterion * Anderson–Darling test * Berk-Jones tests * Shapiro–Wilk test * Chi-s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Noise (spectral Phenomenon)
Noise is any type of random, troublesome, problematic, or unwanted signals. Acoustic noise may mar aesthetic experience, such as attending a concert hall. It may also be a medical issue inherent in the biology of hearing. In technology, noise is unwanted signals in a device or apparatus, commonly of an electrical nature. The nature of noise is much studied in mathematics and is a prominent topic in statistics. This article provides a survey of specific topics linked to their primary articles. Acoustic noise In transportation *Aircraft noise *Jet noise, caused by high-velocity jets and turbulent eddies * Noise and vibration on maritime vessels *Noise, vibration, and harshness, quality criteria for vehicles *Traffic noise, including roadway noise and train noise Other acoustic noise * Artificial noise, in spectator sports *Background noise, in acoustics, any sound other than the monitored one *Comfort noise, used in telecommunications to fill silent gaps * Grey noise, random ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Degrees Of Freedom (statistics)
In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary. Estimates of statistical parameters can be based upon different amounts of information or data. The number of independent pieces of information that go into the estimate of a parameter is called the degrees of freedom. In general, the degrees of freedom of an estimate of a parameter are equal to the number of independent scores that go into the estimate minus the number of parameters used as intermediate steps in the estimation of the parameter itself. For example, if the variance is to be estimated from a random sample of N independent scores, then the degrees of freedom is equal to the number of independent scores (''N'') minus the number of parameters estimated as intermediate steps (one, namely, the sample mean) and is therefore equal to N-1. Mathematically, degrees of freedom is the number of dimensions of the domain of a random vector, or e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Water Resources Research
''Water Resources Research'' is a peer-reviewed scientific journal published by the American Geophysical Union, covering research in the social and natural sciences of water. The editor-in-chief is Georgia Destouni (Stockholm University), who took over from Martyn Clark (2017-2020). According to the ''Journal Citation Reports'', the journal has a 2020 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 5.240. Water Resources Research was begun in 1965, with Walter B. Langbein and Allen V. Kneese as its founding editors. References External links * English-language journals American Geophysical Union academic journals Wiley (publisher) academic journals Monthly journals Academic journals established in 1965 Environmental social science journals Hy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
PLOS Computational Biology
''PLOS Computational Biology'' is a monthly peer-reviewed open access scientific journal covering computational biology. It was established in 2005 by the Public Library of Science in association with the International Society for Computational Biology (ISCB) in the same format as the previously established ''PLOS Biology'' and '' PLOS Medicine''. The founding editor-in-chief was Philip Bourne and the current ones are Feilim Mac Gabhann and Jason Papin. Format The journal publishes both original research and review articles. All articles are open access and licensed under the Creative Commons Attribution License. Since its inception, the journal has published the ''Ten Simple Rules'' series of practical guides, which has subsequently become one of the journal's most read article series. The ''Ten Simple Rules'' series then led to the ''Quick Tips'' collection, whose articles contain recommendations on computational practices and methods, such as dimensionality reduction for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bioinformatics (journal)
''Bioinformatics'' is a biweekly peer-reviewed open-access scientific journal covering research and software in bioinformatics and computational biology. It is the official journal of the International Society for Computational Biology (ISCB), together with '' PLOS Computational Biology''. The journal was established as ''Computer Applications in the Biosciences'' (''CABIOS'') in 1985. The founding editor-in-chief was Robert J. Beynon. In 1998, the journal obtained its current name and established an online version of the journal. It is published by Oxford University Press and, as of 2014, the editors-in-chief are Alfonso Valencia and Janet Kelso. Previous editors include Chris Sander, Gary Stormo, Christos Ouzounis, Martin Bishop, and Alex Bateman. In 2014, these five editors were appointed the first Honorary Editors of ''Bioinformatics''. According to the ''Journal Citation Reports'', the journal has a 2019 impact factor The impact factor (IF) or journal impact facto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Journal Of Chemometrics
The ''Journal of Chemometrics'' is a monthly peer-reviewed scientific journal published since 1987 by John Wiley & Sons. It publishes original scientific papers, reviews, and short communications on fundamental and applied aspects of chemometrics. The current editor-in-chief is Age K. Smilde (University of Amsterdam). Abstracting and indexing ''Journal of Chemometrics'' is abstracted and indexed in: * Chemical Abstracts Service * Scopus * Web of Science According to the ''Journal Citation Reports'', the journal has a 2020 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 2.467, ranking it 27th out of 64 journals in the category "Instruments & Instrumentation", 35th out of 63 journals in the category "Automation & Control Systems", 30th out of 125 journals in the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences like economics, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |