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FUNCTIONAL DATA-ANALYSIS

  • Functional data analysis
  • Branch of statistics mathematics

    Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over

    Functional data analysis

    Functional_data_analysis

  • Functional principal component analysis
  • Statistical method for investigating the dominant modes of variation of functional data

    Functional principal component analysis (FPCA) is a statistical method for investigating the dominant modes of variation of functional data. Using this

    Functional principal component analysis

    Functional_principal_component_analysis

  • Structured data analysis (statistics)
  • data analysis Bayesian analysis Cluster analysis Combinatorial data analysis Formal concept analysis Functional data analysis Geometric data analysis Regression

    Structured data analysis (statistics)

    Structured_data_analysis_(statistics)

  • Multidimensional scaling
  • Set of related ordination techniques used in information visualization

    Ramsay of McGill University, who is also regarded as the founder of functional data analysis. MDS algorithms fall into a taxonomy, depending on the meaning

    Multidimensional scaling

    Multidimensional scaling

    Multidimensional_scaling

  • Distributional data analysis
  • Branch of nonparametric statistics

    Distributional data analysis is a branch of nonparametric statistics that is related to functional data analysis. It is concerned with random objects

    Distributional data analysis

    Distributional_data_analysis

  • James O. Ramsay
  • Canadian statistician

    co-author Bernard Silverman, he is widely recognized as the founder of functional data analysis. He wrote four influential books and over 100 peer-reviewed articles

    James O. Ramsay

    James O. Ramsay

    James_O._Ramsay

  • Functional regression
  • Type of regression analysis

    Functional regression is a version of regression analysis when responses or covariates include functional data. Functional regression models can be classified

    Functional regression

    Functional_regression

  • R (programming language)
  • Programming language for statistics

    statistical computing and data visualization. It has been widely adopted in the fields of data mining, bioinformatics, data analysis, and data science. The core

    R (programming language)

    R (programming language)

    R_(programming_language)

  • Jorge Mateu
  • Spanish statistician (born 1969)

    Efficient Data Acquisition (2012), Spatial and Spatio-Temporal Geostatistical Modeling and Kriging (2015), or Geostatistical Functional Data Analysis (2021)

    Jorge Mateu

    Jorge Mateu

    Jorge_Mateu

  • Bayes space
  • Statistical field

    Compositional Data Analysis and the Aitchison geometry. Theoretical applications are mainly in statistics, specifically functional data analysis of density

    Bayes space

    Bayes space

    Bayes_space

  • Data-flow analysis
  • Method of analyzing variables in software

    Data-flow analysis is a technique for gathering information about the possible set of values calculated at various points in a computer program. It forms

    Data-flow analysis

    Data-flow_analysis

  • Data
  • Unit of information

    data Data (computer science) Data acquisition Data analysis Data bank Data cable Data center Data curation Data domain Data element Data farming Data

    Data

    Data

    Data

  • Functional programming
  • Programming paradigm based on applying and composing functions

    in financial analysis, and XQuery/XSLT for XML. Domain-specific declarative languages like SQL and Lex/Yacc use some elements of functional programming

    Functional programming

    Functional_programming

  • Multivariate statistics
  • Simultaneous observation and analysis of more than one outcome variable

    observed data; how they can be used as part of statistical inference, particularly where several different quantities are of interest to the same analysis. Certain

    Multivariate statistics

    Multivariate_statistics

  • Analysis of Functional NeuroImages
  • Open-source environment for processing and displaying functional MRI data

    Analysis of Functional NeuroImages (AFNI) is an open-source environment for processing and displaying functional MRI data—a technique for mapping human

    Analysis of Functional NeuroImages

    Analysis of Functional NeuroImages

    Analysis_of_Functional_NeuroImages

  • Function model
  • Representation on functions in computer engineering

    engineering, software engineering, and computer science, a function model or functional model is a structured representation of the functions (activities, actions

    Function model

    Function model

    Function_model

  • Functional boxplot
  • envelope. To construct a functional boxplot, data ordering is the first step. In functional data analysis, each observation is a real function, therefore

    Functional boxplot

    Functional_boxplot

  • Functional job analysis
  • Functional job analysis (FJA) is a method of job analysis that was developed by the Employment and Training Administration of the United States Department

    Functional job analysis

    Functional_job_analysis

  • Statistical inference
  • Process of using data analysis for predicting population data from sample data

    the process of using data analysis to infer properties of an underlying probability distribution. Inferential statistical analysis infers properties of

    Statistical inference

    Statistical_inference

  • Journal of Multivariate Analysis
  • Academic journal

    covered include copula modeling, functional data analysis, graphical modeling, high-dimensional data analysis, image analysis, multivariate extreme-value theory

    Journal of Multivariate Analysis

    Journal_of_Multivariate_Analysis

  • Time series
  • Sequence of data points over time

    series analysis comprises methods for analyzing time series data in order to extract meaningful statistics and other characteristics of the data. Time

    Time series

    Time series

    Time_series

  • Functional magnetic resonance imaging
  • MRI procedure that measures brain activity by detecting associated changes in blood flow

    Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique

    Functional magnetic resonance imaging

    Functional magnetic resonance imaging

    Functional_magnetic_resonance_imaging

  • Joel Horowitz
  • instrumental variables, estimation of high-dimensional models, and functional data analysis. (Chen et al. 2014) He served as Co-Editor of two of the leading

    Joel Horowitz

    Joel_Horowitz

  • Dynamic time warping
  • Algorithm for measuring similarity between temporal sequences

    classifier on a set of benchmark time series classification tasks. In functional data analysis, time series are regarded as discretizations of smooth (differentiable)

    Dynamic time warping

    Dynamic time warping

    Dynamic_time_warping

  • Aurore Delaigle
  • Belgian-Australian statistician & scholar

    interests include nonparametric statistics, deconvolution and functional data analysis. Following her undergraduate degree in mathematics at Université

    Aurore Delaigle

    Aurore_Delaigle

  • Whitening transformation
  • Classification algorithm

    JSTOR 2289161. OSTI 1447861. Ramsay, J.O.; Silverman, J.O. (2005). Functional Data Analysis. Springer New York, NY. doi:10.1007/b98888. ISBN 978-0-387-40080-8

    Whitening transformation

    Whitening_transformation

  • Software testing
  • Checking software against expectations

    code structure or compilers (precompilers) check syntax and data flow as static program analysis. Dynamic testing takes place when the program itself is run

    Software testing

    Software testing

    Software_testing

  • Cluster analysis
  • Grouping a set of objects by similarity

    Cluster analysis, or clustering, is a data analysis technique aimed at partitioning a set of objects into groups such that objects within the same group

    Cluster analysis

    Cluster analysis

    Cluster_analysis

  • Purely functional data structure
  • Data structure implementable in purely functional languages

    computer science, a purely functional data structure is a data structure that can be directly implemented in a purely functional language. The main difference

    Purely functional data structure

    Purely_functional_data_structure

  • Damla Şentürk
  • Turkish-American biostatistician

    of Public Health whose interests include longitudinal studies, functional data analysis, and applications of biostatistics in the study of autism and of

    Damla Şentürk

    Damla_Şentürk

  • Structured analysis
  • Software engineering method

    functional decomposition approach, it focuses on cohesion within functions and coupling between functions leading to structured data. The functional decomposition

    Structured analysis

    Structured analysis

    Structured_analysis

  • Principal component analysis
  • Method of data analysis

    component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing

    Principal component analysis

    Principal component analysis

    Principal_component_analysis

  • Topological data analysis
  • Analysis of datasets using techniques from topology

    In applied mathematics, topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. Extraction of information

    Topological data analysis

    Topological_data_analysis

  • Amortized analysis
  • Method for algorithm analysis in computer science

    parametrizations or data structure contents) may imply a significant cost in resources, whereas other situations may not be as costly. The amortized analysis considers

    Amortized analysis

    Amortized_analysis

  • Contour boxplot
  • Data visualization tool

    contour boxplot, data ordering is the first step. In functional data analysis, each observation is a real function, therefore data ordering is different

    Contour boxplot

    Contour_boxplot

  • Victor Panaretos
  • Greek mathematical statistician

    and stochastic geometry. He is known for contributions to the functional data analysis of random functions, operators, and measures. He has published

    Victor Panaretos

    Victor Panaretos

    Victor_Panaretos

  • Functional requirement
  • Any task which a system must be able to complete

    outputs. Functional requirements may involve calculations, technical details, data manipulation and processing, and other specific functionality that define

    Functional requirement

    Functional_requirement

  • Control-flow analysis
  • Compiler technique

    languages CFA in functional programs (survey) for the relationship between CFA analysis in functional languages and points-to analysis in imperative/OOP

    Control-flow analysis

    Control-flow_analysis

  • Barcode of Life Data System
  • Sequence database of DNA barcoding

    a set of improvements supporting data collection and analysis but also included novel functionality improving data dissemination, citation, and annotation

    Barcode of Life Data System

    Barcode_of_Life_Data_System

  • Bernard Silverman
  • British statistician

    Applied Functional Data Analysis: Methods and Case Studies. Springer-Verlag. Ramsay, J. O.; Silverman, B. W. (2005) [1997]. Functional Data Analysis (second

    Bernard Silverman

    Bernard Silverman

    Bernard_Silverman

  • FDA (disambiguation)
  • Topics referred to by the same term

    electronic voltage amplifier with differential inputs and outputs Functional data analysis, a branch of statistics Fluorescein diacetate, a non-fluorescent

    FDA (disambiguation)

    FDA_(disambiguation)

  • Mathematical analysis
  • Branch of mathematics

    function spaces. Its major areas include complex analysis, functional analysis, measure theory, harmonic analysis, and the theory of ordinary and partial differential

    Mathematical analysis

    Mathematical analysis

    Mathematical_analysis

  • History index model
  • Model in functional data analysis

    described by smooth varying coefficient functions. In Functional data analysis, functional data are considered as realizations of a Stochastic process

    History index model

    History_index_model

  • Analysis of variance
  • Collection of statistical models

    of Mendelian Inheritance. His first application of the analysis of variance to data analysis was published in 1921, Studies in Crop Variation I. This

    Analysis of variance

    Analysis_of_variance

  • Functional flow block diagram
  • Flow Diagram

    data flow diagrams, control flow diagrams, Gantt charts, PERT diagrams, and IDEF. FFBDs are also referred to as functional flow diagrams, functional block

    Functional flow block diagram

    Functional flow block diagram

    Functional_flow_block_diagram

  • Purely functional programming
  • Programming paradigm entirely based on functions

    Functional programming may use persistent non-purely functional data structures, while those data structures may not be used in purely functional programs

    Purely functional programming

    Purely_functional_programming

  • Functional (mathematics)
  • Map from a vector space to its underlying field

    In functional analysis, a functional is a map from a vector space to its underlying field. Elements of this field are called scalars, typically real or

    Functional (mathematics)

    Functional (mathematics)

    Functional_(mathematics)

  • Functional correlation
  • Dimensionality reduction technique

    defined as, Functional data analysis Functional principal component analysis Karhunen–Loève theorem Functional regression Generalized functional linear model

    Functional correlation

    Functional_correlation

  • Anders C. Hansen
  • Norwegian mathematician

    Applied Functional and Harmonic Analysis group, and also Professor II at the University of Oslo. He works in functional analysis, harmonic analysis (applied)

    Anders C. Hansen

    Anders C. Hansen

    Anders_C._Hansen

  • Survival analysis
  • Branch of statistics

    survival analysis involves the modelling of time to event data; in this context, death or failure is considered an "event" in the survival analysis literature

    Survival analysis

    Survival_analysis

  • Ana María Aguilera
  • Spanish statistician

    statistician whose research involves principal component analysis, functional data analysis, categorical data, and multi-dimensional contingency tables. She is

    Ana María Aguilera

    Ana_María_Aguilera

  • Failure modes, effects, and diagnostic analysis
  • Systematic analysis technique

    variation of DFMEA developed for functional safety applications is called Design Deviation and Mitigation Analysis (DDMA). The DDMA variation adds information

    Failure modes, effects, and diagnostic analysis

    Failure_modes,_effects,_and_diagnostic_analysis

  • Spatial analysis
  • Techniques to study geometric data

    spatial analysis is geospatial analysis, the technique applied to structures at the human scale, most notably in the analysis of geographic data. It may

    Spatial analysis

    Spatial analysis

    Spatial_analysis

  • Video content analysis
  • Automatic analysis of video

    machine, it is possible to build other functionalities, such as video summarization, identification, behavior analysis, or other forms of situation awareness

    Video content analysis

    Video_content_analysis

  • Decomposition (computer science)
  • Dividing a system in computer science

    include the procedural, modular, abstract data type, and object-oriented paradigms. Generally, functional decomposition in computer science is a technique

    Decomposition (computer science)

    Decomposition (computer science)

    Decomposition_(computer_science)

  • List of statistics articles
  • Analyse-it – software Analysis of categorical data Analysis of covariance Analysis of molecular variance Analysis of rhythmic variance Analysis of variance Analytic

    List of statistics articles

    List_of_statistics_articles

  • Generalized functional linear model
  • Mathematical model for stochastic processes

    has been studied with the GFLM Functional additive models Functional data analysis Functional principal component analysis Generalized linear model Karhunen–Loève

    Generalized functional linear model

    Generalized_functional_linear_model

  • Aggregate data
  • Data combined from several measurements

    Aggregate data collected from various sources are used in different areas of studies such as comparative political analysis and APD scientific analysis for

    Aggregate data

    Aggregate data

    Aggregate_data

  • Cross-validation (statistics)
  • Statistical model validation technique

    techniques for assessing how the results of a statistical analysis will generalize to an independent data set. Cross-validation includes resampling and sample

    Cross-validation (statistics)

    Cross-validation (statistics)

    Cross-validation_(statistics)

  • Requirements analysis
  • Engineering process

    with the simulation Business analysis Business process reengineering Creative brief Data modeling Design brief Functional requirements Information technology

    Requirements analysis

    Requirements analysis

    Requirements_analysis

  • Linear discriminant analysis
  • Method used in statistics, pattern recognition, and other fields

    principal component analysis (PCA) and factor analysis in that they both look for linear combinations of variables which best explain the data. LDA explicitly

    Linear discriminant analysis

    Linear discriminant analysis

    Linear_discriminant_analysis

  • Procrustes transformation
  • Geometric operation

    shear Ramsay, J. O.; Silverman, B. W. (23 November 2007). Applied Functional Data Analysis: Methods and Case Studies. Springer. ISBN 978-0-387-22465-7. Retrieved

    Procrustes transformation

    Procrustes_transformation

  • Orange (software)
  • Open-source data analysis software

    for data visualization, machine learning, data mining, and data analysis. It provides a visual programming environment in which users construct data-analysis

    Orange (software)

    Orange (software)

    Orange_(software)

  • Synthetic data
  • Algorithmically generated data that have a similar distribution as sampled data

    the context of privacy-preserving statistical analysis, in 1993, the idea of original fully synthetic data was created by Donald Rubin. Rubin originally

    Synthetic data

    Synthetic_data

  • Data warehouse
  • Centralized storage of knowledge

    computing, a data warehouse (DW or DWH), also known as an enterprise data warehouse (EDW), is a system used for reporting and data analysis and is a core

    Data warehouse

    Data warehouse

    Data_warehouse

  • Functional urban area
  • Measure of metropolitan and surrounding areas

    residents commute into the city, a concept known as the "functional urban region". To ensure a good data availability, Eurostat adjusts the FUA boundaries to

    Functional urban area

    Functional urban area

    Functional_urban_area

  • Persistent data structure
  • Data structure that always preserves the previous version of itself when it is modified

    common in logical and functional programming, as languages in those paradigms discourage (or fully forbid) the use of mutable data. In the partial persistence

    Persistent data structure

    Persistent_data_structure

  • Discourse analysis
  • Analysis of social and lingual policy, or historiographical discourse phenomena

    discourse Conversation analysis Critical discourse analysis Discursive psychology Emergent grammar Ethnography of communication Functional grammar Interactional

    Discourse analysis

    Discourse_analysis

  • List of women in statistics
  • Aguilera, Spanish expert on principal component analysis, functional data analysis, and categorical data Susan Ahmed (born 1946), American biostatistician

    List of women in statistics

    List_of_women_in_statistics

  • Non-functional requirement
  • Type of requirement in systems engineering

    IT Software Quality ISO/IEC 9126 FURPS Requirements analysis Usability requirements Non-Functional Requirements framework Architecturally Significant Requirements

    Non-functional requirement

    Non-functional_requirement

  • Regression analysis
  • Set of statistical processes for estimating the relationships among variables

    common form of regression analysis is linear regression, in which one finds the line or hyperplane that most closely fits the data according to a specific

    Regression analysis

    Regression analysis

    Regression_analysis

  • Data collection
  • Gathering information for analysis

    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

    Data collection

    Data collection

    Data_collection

  • Variance function
  • Smooth function in statistics

    used in non-parametric regression, semiparametric regression and functional data analysis. In parametric modeling, variance functions take on a parametric

    Variance function

    Variance_function

  • Jane-Ling Wang
  • Chinese-American statistician

    California, Davis. She is a specialist in dimension reduction, functional data analysis, and aging. Wang graduated from National Taiwan University in 1975

    Jane-Ling Wang

    Jane-Ling_Wang

  • Statistical learning theory
  • Framework for machine learning

    and functional analysis. Statistical learning theory deals with the statistical inference problem of finding a predictive function based on data. Statistical

    Statistical learning theory

    Statistical_learning_theory

  • Factor analysis
  • Statistical method

    (see errors and residuals in statistics). The observable data that go into factor analysis would be 10 scores of each of the 1000 students, a total of

    Factor analysis

    Factor_analysis

  • Dynamic program analysis
  • Analysis of software performed when running a program

    Dynamic data-flow analysis tracks the flow of information from sources to sinks. Forms of dynamic data-flow analysis include dynamic taint analysis and even

    Dynamic program analysis

    Dynamic_program_analysis

  • Functional behavior assessment
  • Element of behavior modification

    from assessment to intervention. Functional behavior assessment (FBA) is a method developed by applied behavior analysis (ABA) to identify the variables

    Functional behavior assessment

    Functional_behavior_assessment

  • Meta-analysis
  • Statistical method that summarizes and/or integrates data from multiple sources

    Meta-analysis is a method of synthesis of quantitative data from multiple independent studies addressing a common research question. An important part

    Meta-analysis

    Meta-analysis

  • Wenxuan Zhong
  • Chinese-American statistician

    whose research focuses on big data. On the theoretical side, her work has involved feature selection, functional data analysis, and causal inference, with

    Wenxuan Zhong

    Wenxuan_Zhong

  • High-dimensional statistics
  • Study of high-dimensional data

    statistics studies data whose dimension is larger (relative to the number of datapoints) than typically considered in classical multivariate analysis. The area

    High-dimensional statistics

    High-dimensional_statistics

  • Median absolute deviation
  • Statistical measure of variability

    1993.10476408. hdl:2027.42/142454. Ruppert, D. (2010). Statistics and Data Analysis for Financial Engineering. Springer. p. 118. ISBN 9781441977878. Retrieved

    Median absolute deviation

    Median_absolute_deviation

  • False discovery rate
  • Statistical method for handling multiple comparisons

    interconnected, which is often the case in biological data, like functional enrichment analysis of differentially expressed genes. This overcorrection

    False discovery rate

    False_discovery_rate

  • Least squares
  • Approximation method in statistics

    In numerical linear algebra and regression analysis, least squares is a method to determine the best-fit model by minimizing the sum of the squared residuals—the

    Least squares

    Least squares

    Least_squares

  • Sequential analysis
  • Statistical analysis where the sample size is not fixed in advance

    sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. Instead data is evaluated

    Sequential analysis

    Sequential_analysis

  • Regression validation
  • Statistics concept

    guarantee that the model fits the data well. For example, if the functional form of the model does not match the data, R2 can be high despite a poor model

    Regression validation

    Regression_validation

  • Bayesian probability
  • Interpretation of probability

    first mathematical treatment of a non-trivial problem of statistical data analysis using what is now known as Bayesian inference. Mathematician Pierre-Simon

    Bayesian probability

    Bayesian_probability

  • Interquartile range
  • Measure of statistical dispersion

    (IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR may also be called the midspread, middle 50%, fourth spread, or

    Interquartile range

    Interquartile range

    Interquartile_range

  • MetaboAnalyst
  • Online tools for metabolomic data analysis

    modules: Data processing Statistical analysis (one-factor, two-factor, and time-series data) Functional enrichment analysis Metabolic pathway analysis The

    MetaboAnalyst

    MetaboAnalyst

  • Descriptive statistics
  • Type of statistics

    probability theory, and are frequently nonparametric statistics. Even when a data analysis draws its main conclusions using inferential statistics, descriptive

    Descriptive statistics

    Descriptive_statistics

  • Q–Q plot
  • Comparison of two distributions

    Paul (1983), Graphical methods for data analysis, Wadsworth Cleveland, W.S. (1994) The Elements of Graphing Data, Hobart Press ISBN 0-9634884-1-4 Filliben

    Q–Q plot

    Q–Q plot

    Q–Q_plot

  • Box plot
  • Data visualization

    Bagplot Contour boxplot Data and information visualization Exploratory data analysis Fan chart Five-number summary Functional boxplot Seasonality Seven-number

    Box plot

    Box plot

    Box_plot

  • Nancy E. Heckman
  • Canadian statistician

    statistician, interested in nonparametric regression, smoothing, functional data analysis, and applications of statistics in evolutionary biology. From 2008

    Nancy E. Heckman

    Nancy_E._Heckman

  • Missing data
  • Statistical concept

    When data are MCAR, the analysis performed on the data is unbiased; however, data are rarely MCAR. In the case of MCAR, the missingness of data is unrelated

    Missing data

    Missing_data

  • Data-flow diagram
  • Graphical representation of the "flow" of data through an information system

    another data-flow diagram, which subdivides this process into sub-processes. The data-flow diagram is a tool that is part of structured analysis, data modeling

    Data-flow diagram

    Data-flow_diagram

  • Bootstrapping (statistics)
  • Statistical method

    Design and Analysis of Ecological Experiments. CRC Press. ISBN 0412035618. Ch13, p300 Rice, John. Mathematical Statistics and Data Analysis (2 ed.). p

    Bootstrapping (statistics)

    Bootstrapping_(statistics)

  • Covariance
  • Measure of the joint variability

    covariance matrix is used in principal component analysis to reduce feature dimensionality in data preprocessing. The principal components are the dimensions

    Covariance

    Covariance

  • Neighbourhood components analysis
  • analysis is a supervised learning method for classifying multivariate data into distinct classes according to a given distance metric over the data.

    Neighbourhood components analysis

    Neighbourhood_components_analysis

  • Correlation coefficient
  • Numerical measure of a statistical relationship between variables

    measures for the degree of correlation in data, depending on the kind of data: principally, whether the data is a measurement, ordinal, or categorical

    Correlation coefficient

    Correlation_coefficient

  • Data profiling
  • Data analysis technique

    candidates, and functional dependencies Assess whether known metadata accurately describes the actual values in the source database Understanding data challenges

    Data profiling

    Data_profiling

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