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CLUSTER ANALYSIS

  • 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

  • Hierarchical clustering
  • Statistical method in data analysis

    hierarchical clustering (also called hierarchical cluster analysis or HCA) is a method of cluster analysis that seeks to build a hierarchy of clusters. Strategies

    Hierarchical clustering

    Hierarchical_clustering

  • K-means clustering
  • Vector quantization algorithm minimizing the sum of squared deviations

    clusters in which each observation belongs to the cluster with the nearest mean (cluster centers or cluster centroid). This results in a partitioning of the

    K-means clustering

    K-means_clustering

  • Principal component analysis
  • Method of data analysis

    two dimensions and to visually identify clusters of closely related data points. Principal component analysis has applications in many fields such as

    Principal component analysis

    Principal component analysis

    Principal_component_analysis

  • Standard score
  • How many standard deviations apart from the mean an observed datum is

    some multivariate techniques such as multidimensional scaling and cluster analysis, the concept of distance between the units in the data is often of

    Standard score

    Standard score

    Standard_score

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

    discriminant correspondence analysis. Discriminant analysis is used when groups are known a priori (unlike in cluster analysis). Each case must have a score

    Linear discriminant analysis

    Linear discriminant analysis

    Linear_discriminant_analysis

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

    discriminant analysis (LDA) computes a linear predictor from two sets of normally distributed data to allow for classification of new observations. Clustering systems

    Multivariate statistics

    Multivariate_statistics

  • Silhouette (clustering)
  • Quality measure in cluster analysis

    Cluster analysis Davies–Bouldin index Calinski-Harabasz index Dunn index Determining the number of clusters in a data set Density-based clustering validation

    Silhouette (clustering)

    Silhouette_(clustering)

  • Psychometrics
  • Theory and technique of psychological measurement

    dimensions. Cluster analysis is an approach to finding objects that are like each other. Factor analysis, multidimensional scaling, and cluster analysis are all

    Psychometrics

    Psychometrics

    Psychometrics

  • Cluster criticism
  • Method in rhetorical criticism

    Cluster criticism, otherwise known as cluster analysis, is a method utilized in rhetorical criticism. This form of analysis was made famous by Kenneth

    Cluster criticism

    Cluster criticism

    Cluster_criticism

  • Spectral clustering
  • Clustering methods

    vector space using the rows of V {\displaystyle V} . Now the analysis is reduced to clustering vectors with k {\displaystyle k} components, which may be

    Spectral clustering

    Spectral clustering

    Spectral_clustering

  • Fuzzy clustering
  • Type of clustering of data points

    more than one cluster. Clustering or cluster analysis involves assigning data points to clusters such that items in the same cluster are as similar as possible

    Fuzzy clustering

    Fuzzy_clustering

  • Time series
  • Sequence of data points over time

    pattern recognition and machine learning, where time series analysis can be used for clustering, classification, query by content, anomaly detection as well

    Time series

    Time series

    Time_series

  • Median
  • Middle quantile of a data set or probability distribution

    noise from grayscale images. In cluster analysis, the k-medians clustering algorithm provides a way of defining clusters, in which the criterion of maximising

    Median

    Median

    Median

  • Cramér's V
  • Statistical measure of association

    Fowlkes–Mallows index Other related articles: Contingency table Effect size Cluster analysis § External evaluation Cramér, Harald. 1946. Mathematical Methods of

    Cramér's V

    Cramér's_V

  • Determining the number of clusters in a data set
  • Cluster analysis problem

    the number of clusters in a data set, a quantity often labelled k as in the k-means algorithm, is a frequent problem in data clustering, and is a distinct

    Determining the number of clusters in a data set

    Determining_the_number_of_clusters_in_a_data_set

  • Cluster
  • Topics referred to by the same term

    Look up cluster in Wiktionary, the free dictionary. Cluster(s) may refer to: Cluster (spacecraft), constellation of four European Space Agency spacecraft

    Cluster

    Cluster

  • Quadratic unconstrained binary optimization
  • Combinatorial optimization problem

    make it a minimization problem. Binary Clustering with QUBO Next, we consider the problem of cluster analysis, where we are given a set of N {\displaystyle

    Quadratic unconstrained binary optimization

    Quadratic_unconstrained_binary_optimization

  • Cluster sampling
  • Sampling methodology in statistics

    In statistics, cluster sampling is a sampling plan used when mutually homogeneous yet internally heterogeneous groupings are evident in a statistical

    Cluster sampling

    Cluster sampling

    Cluster_sampling

  • Elbow method (clustering)
  • Heuristic used in computer science

    In cluster analysis, the elbow method is a heuristic used in determining the number of clusters in a data set. The method consists of plotting the explained

    Elbow method (clustering)

    Elbow method (clustering)

    Elbow_method_(clustering)

  • Clustering high-dimensional data
  • Method of data analysis

    Clustering high-dimensional data is the cluster analysis of data with anywhere from a few dozen to many thousands of dimensions. Such high-dimensional

    Clustering high-dimensional data

    Clustering_high-dimensional_data

  • HCS clustering algorithm
  • Clusters/Components/Kernels) is an algorithm based on graph connectivity for cluster analysis. It works by representing the similarity data in a similarity graph

    HCS clustering algorithm

    HCS_clustering_algorithm

  • Outline of machine learning
  • Overview of and topical guide to machine learning

    Hierarchical clustering Single-linkage clustering Conceptual clustering Cluster analysis BIRCH DBSCAN Expectation–maximization (EM) Fuzzy clustering Hierarchical

    Outline of machine learning

    Outline_of_machine_learning

  • Geographical cluster
  • the identification of such geographical clusters is a very simple and generic form of geographical analysis that has many applications in many different

    Geographical cluster

    Geographical_cluster

  • Race (human categorization)
  • Grouping by physical or social qualities

    from using it or the fact that it has utility." Early human genetic cluster analysis studies were conducted with samples taken from ancestral population

    Race (human categorization)

    Race_(human_categorization)

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

    In statistical modeling, regression analysis is a statistical method for estimating the relationship between a dependent variable (often called the outcome

    Regression analysis

    Regression analysis

    Regression_analysis

  • Statistical classification
  • Categorization of data using statistics

    ecology, the term "classification" normally refers to cluster analysis. Classification and clustering are examples of the more general problem of pattern

    Statistical classification

    Statistical_classification

  • Document clustering
  • Grouping texts by similarity

    Document clustering (or text clustering) is the application of cluster analysis to textual documents. It has applications in automatic document organization

    Document clustering

    Document_clustering

  • Correlation clustering
  • Method of partitioning data points into groups based on their similarity

    Clustering is the problem of partitioning data points into groups based on similarity or dissimilarity. Correlation clustering is a clustering framework

    Correlation clustering

    Correlation_clustering

  • Christian Hennig
  • German statistician & professor (born 1966)

    Hennig (born 1966) is a German statistician. His work focuses on robust cluster analysis. Hennig completed his doctorate in 1997 at the University of Hamburg

    Christian Hennig

    Christian Hennig

    Christian_Hennig

  • Analysis of variance
  • Collection of statistical models

    Analysis of variance (ANOVA) is a family of statistical methods used to compare the means of two or more groups by analyzing variance. Specifically, ANOVA

    Analysis of variance

    Analysis_of_variance

  • Cluster development
  • Economic development of business clusters

    Cluster development (or cluster initiative or economic clustering) is the economic development of business clusters. The cluster concept has rapidly attracted

    Cluster development

    Cluster_development

  • K-medians clustering
  • Cluster analysis algorithm

    K-medians clustering is a partitioning technique used in cluster analysis. It groups data into k clusters by minimizing the sum of distances—typically

    K-medians clustering

    K-medians_clustering

  • Model-based clustering
  • Model-based clustering in statistics

    statistics, cluster analysis is the algorithmic grouping of objects into homogeneous groups based on numerical measurements. Model-based clustering based on

    Model-based clustering

    Model-based_clustering

  • Factor analysis
  • Statistical method

    Function-point cluster analysis. Systematic Zoology, September 1973, Vol. 22, No. 3, pp. 295–301. Mulaik, S. A. (2010), Foundations of Factor Analysis, Chapman

    Factor analysis

    Factor_analysis

  • Heat map
  • Data visualization technique

    results of a cluster analysis by permuting the rows and the columns of a matrix to place similar values near each other according to the clustering. This idea

    Heat map

    Heat map

    Heat_map

  • DBSCAN
  • Density-based data clustering algorithm

    Density-based spatial clustering of applications with noise (DBSCAN) is a data clustering algorithm proposed by Martin Ester, Hans-Peter Kriegel, Jörg

    DBSCAN

    DBSCAN

  • Kendall rank correlation coefficient
  • Statistic for rank correlation

    discordance also appear in other areas of statistics, like the Rand index in cluster analysis. Let ( x 1 , y 1 ) , . . . , ( x n , y n ) {\displaystyle (x_{1},y_{1})

    Kendall rank correlation coefficient

    Kendall_rank_correlation_coefficient

  • Receiver operating characteristic
  • Diagnostic plot of binary classifier ability

    can be generalized to multiple classes) at varying threshold values. ROC analysis is commonly applied in the assessment of diagnostic test performance in

    Receiver operating characteristic

    Receiver operating characteristic

    Receiver_operating_characteristic

  • Bayesian inference
  • Method of statistical inference

    statistics. Bayesian updating is particularly important in the dynamic analysis of a sequence of data. Bayesian inference has found application in a wide

    Bayesian inference

    Bayesian_inference

  • Behavioral clustering
  • Behavioral clustering is a statistical analysis method used in retailing to identify consumer purchase trends and group stores based on consumer buying

    Behavioral clustering

    Behavioral_clustering

  • Race and genetics
  • Relevance of genotype to race classification

    other subgroups. In cluster analysis, the number of clusters to search for K is determined in advance; how distinct the clusters are varies. The results

    Race and genetics

    Race_and_genetics

  • Median absolute deviation
  • Statistical measure of variability

    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

  • Simpson's paradox
  • Error in statistical reasoning with groups

    appropriately addressed in the statistical modeling (e.g., through cluster analysis). Simpson's paradox has been used to illustrate the kind of misleading

    Simpson's paradox

    Simpson's paradox

    Simpson's_paradox

  • Clustering illusion
  • Erroneously seeing patterns in randomness

    has media related to Clustering illusion. Skeptic's Dictionary: The clustering illusion Hot Hand website: Statistical analysis of sports streakiness

    Clustering illusion

    Clustering illusion

    Clustering_illusion

  • Covariance
  • Measure of the joint variability

    different assets that investors should (in a normative analysis) or are predicted to (in a positive analysis) choose to hold in a context of diversification

    Covariance

    Covariance

  • Analysis
  • Process of understanding a complex topic or substance

    Boolean analysis – a method to find deterministic dependencies between variables in a sample, mostly used in exploratory data analysis Cluster analysis – techniques

    Analysis

    Analysis

    Analysis

  • Bar chart
  • Type of chart

    other axis represents a measured value. Some bar graphs present bars clustered or stacked in groups of more than one, showing the values of more than

    Bar chart

    Bar chart

    Bar_chart

  • Spearman's rank correlation coefficient
  • Nonparametric measure of rank correlation

    F., eds. (2004). Grade Models and Methods for Data Analysis with Applications for the Analysis of Data Populations. Studies in Fuzziness and Soft Computing

    Spearman's rank correlation coefficient

    Spearman's rank correlation coefficient

    Spearman's_rank_correlation_coefficient

  • Geometric data analysis
  • Field of geometry and statistics

    data analysis, cluster analysis, inductive data analysis, correspondence analysis, multiple correspondence analysis, principal components analysis and

    Geometric data analysis

    Geometric_data_analysis

  • Quantum clustering
  • Quantum Clustering (QC) is a class of data-clustering algorithms that use conceptual and mathematical tools from quantum mechanics. QC belongs to the

    Quantum clustering

    Quantum_clustering

  • Descriptive statistics
  • Type of statistics

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

    Descriptive statistics

    Descriptive_statistics

  • Dimensionality reduction
  • Process of reducing the number of random variables under consideration

    Dimensionality reduction can be used for noise reduction, data visualization, cluster analysis, or as an intermediate step to facilitate other analyses. The process

    Dimensionality reduction

    Dimensionality_reduction

  • Density-based clustering validation
  • Metric of clustering solutions quality

    metrics may be less reliable. The DBCV index has been employed for clustering analysis in bioinformatics, ecology, techno-economy, and health informatics

    Density-based clustering validation

    Density-based clustering validation

    Density-based_clustering_validation

  • Data
  • Unit of information

    collected using techniques such as measurement, observation, query, or analysis, and is typically represented as numbers or characters that may be further

    Data

    Data

    Data

  • Unsupervised learning
  • Paradigm in machine learning that uses no classification labels

    unsupervised learning, such as clustering algorithms like k-means, dimensionality reduction techniques like principal component analysis (PCA), Boltzmann machine

    Unsupervised learning

    Unsupervised_learning

  • Machine learning
  • Subset of artificial intelligence

    during training. Classic examples include principal component analysis and cluster analysis. Feature learning algorithms, also called representation learning

    Machine learning

    Machine_learning

  • Pearson correlation coefficient
  • Measure of linear correlation

    Pearson distance lies in [0, 2]. The Pearson distance has been used in cluster analysis and data detection for communications and storage with unknown gain

    Pearson correlation coefficient

    Pearson correlation coefficient

    Pearson_correlation_coefficient

  • Least squares
  • Approximation method in statistics

    In regression analysis, least squares is a method to determine the best-fit model by minimizing the sum of the squared residuals—the differences between

    Least squares

    Least squares

    Least_squares

  • Outline of statistics
  • Overview of and topical guide to statistics

    domain Multivariate analysis Principal component analysis (PCA) Factor analysis Cluster analysis Multiple correspondence analysis Nonlinear dimensionality

    Outline of statistics

    Outline_of_statistics

  • Data mining
  • Process of analyzing large data sets

    automatic analysis of massive quantities of data to extract previously unknown, interesting patterns such as groups of data records (cluster analysis), unusual

    Data mining

    Data_mining

  • Taa language
  • Tuu language of southwestern Botswana and eastern Namibia

    are single segments and which are consonant clusters. DoBeS notes that analysis of syllable onsets as clusters would reduce the inventory from 122 to approximately

    Taa language

    Taa language

    Taa_language

  • Box plot
  • Data visualization

    Tukey, who later published on the subject in his book "Exploratory Data Analysis" in 1977. A box plot is a standardized way of displaying the dataset based

    Box plot

    Box plot

    Box_plot

  • Ward's method
  • Criterion applied in hierarchical cluster analysis

    In statistics, Ward's method is a criterion applied in hierarchical cluster analysis. Ward's minimum variance method is a special case of the objective

    Ward's method

    Ward's_method

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

    strongest possible correlation and 0 indicates no correlation. As tools of analysis, correlation coefficients present certain problems, including the propensity

    Correlation coefficient

    Correlation_coefficient

  • Classification of personality disorders
  • have either schizophrenia or a Cluster A personality disorder. Importantly, contrary to common belief, a recent meta-analysis shows that diagnosis remission

    Classification of personality disorders

    Classification_of_personality_disorders

  • Constrained clustering
  • Class of semi-supervised learning algorithms

    computer science, constrained clustering is a class of semi-supervised learning algorithms. Typically, constrained clustering incorporates either a set of

    Constrained clustering

    Constrained_clustering

  • Average
  • Number taken as representative of a list of numbers

    from these points is minimized. This leads to cluster analysis, where each point in the data set is clustered with the nearest "center". Most commonly, using

    Average

    Average

  • Survival analysis
  • Branch of statistics

    reliability analysis or reliability engineering in engineering, duration analysis or duration modelling in economics, and event history analysis in sociology

    Survival analysis

    Survival_analysis

  • Archetypal analysis
  • Archetypal analysis in statistics is an unsupervised learning method similar to cluster analysis and introduced by Adele Cutler and Leo Breiman in 1994

    Archetypal analysis

    Archetypal_analysis

  • Ordination (statistics)
  • Statistical method

    or gradient analysis, in multivariate analysis, is a method complementary to data clustering, and used mainly in exploratory data analysis (rather than

    Ordination (statistics)

    Ordination_(statistics)

  • Calinski–Harabasz index
  • Clustering evaluation metric

    univariate analysis. Liu et al. discuss the effectiveness of using CH index for cluster evaluation relative to other internal clustering evaluation metrics

    Calinski–Harabasz index

    Calinski–Harabasz_index

  • Student's t-test
  • Statistical hypothesis test

    size are described at these websites. Power Analysis for Two-group Independent sample t-test | R Data Analysis Examples G*Power Ps Commercial software packages

    Student's t-test

    Student's_t-test

  • Statistics
  • Study of collection and analysis of data

    diversity index, Tukey's range test, cluster analysis, Spearman's rank correlation coefficient and principal component analysis. A typical statistics course covers

    Statistics

    Statistics

    Statistics

  • Shapiro–Wilk test
  • Test of normality in frequentist statistics

    Lilliefors test Normal probability plot Shapiro, S. S.; Wilk, M. B. (1965). "An analysis of variance test for normality (complete samples)". Biometrika. 52 (3–4):

    Shapiro–Wilk test

    Shapiro–Wilk_test

  • Clustering
  • Topics referred to by the same term

    like a single computer Data cluster, an allocation of contiguous storage in databases and file systems Cluster analysis, the statistical task of grouping

    Clustering

    Clustering

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

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

    Sequential analysis

    Sequential_analysis

  • Stratified sampling
  • Sampling from a population which can be partitioned into subpopulations

    entire population) can have a deleterious effect on the performance of any analysis on the dataset, e.g. classification. In that regard, minimax sampling ratio

    Stratified sampling

    Stratified sampling

    Stratified_sampling

  • Analysis of covariance
  • General linear model that blends ANOVA and regression

    Analysis of covariance (ANCOVA) is a general linear model that blends ANOVA and regression. ANCOVA evaluates whether the means of a dependent variable

    Analysis of covariance

    Analysis_of_covariance

  • Correlation
  • Statistical relationship

    range restriction in one or both variables, and are commonly used in meta-analysis; the most common are Thorndike's case II and case III equations. Various

    Correlation

    Correlation

    Correlation

  • Gower's distance
  • Distance measure in statistics

    takes values between 0 and 1. This technique is particularly useful in cluster analysis (such as K-nearest neighbors algorithm) or other multivariate statistical

    Gower's distance

    Gower's_distance

  • Complete-linkage clustering
  • Agglomerative hierarchical clustering method

    Complete-linkage clustering is one of several methods of agglomerative hierarchical clustering. At the beginning of the process, each element is in a cluster of its

    Complete-linkage clustering

    Complete-linkage_clustering

  • Mean shift
  • Mathematical technique

    mathematical analysis technique for locating the maxima of a density function, a so-called mode-seeking algorithm. Application domains include cluster analysis in

    Mean shift

    Mean_shift

  • Latent space
  • Embedding of data within a manifold based on a similarity function

    and world trade networks. Induced topology Clustering algorithm Intrinsic dimension Latent semantic analysis Latent variable model Ordination (statistics)

    Latent space

    Latent_space

  • Single-linkage clustering
  • Agglomerative hierarchical clustering method

    single-linkage clustering is one of several methods of hierarchical clustering. It is based on grouping clusters in bottom-up fashion (agglomerative clustering), at

    Single-linkage clustering

    Single-linkage_clustering

  • Mixture model
  • Statistical concept

    off state, or faulty state. Each formed cluster can be diagnosed using techniques such as spectral analysis. In the recent years, this has also been

    Mixture model

    Mixture_model

  • Automatic clustering algorithms
  • Data processing algorithm

    determining the appropriate number of clusters for unlabeled data. Therefore, most research in clustering analysis has been focused on the automation of

    Automatic clustering algorithms

    Automatic_clustering_algorithms

  • Sampling (statistics)
  • Selection of data points in statistics

    depending on how the clusters differ between one another as compared to the within-cluster variation. For this reason, cluster sampling requires a larger

    Sampling (statistics)

    Sampling (statistics)

    Sampling_(statistics)

  • Standard error
  • Statistical property

    sample size. This is because as the sample size increases, sample means cluster more closely around the population mean. Therefore, the relationship between

    Standard error

    Standard error

    Standard_error

  • Logistic regression
  • Statistical model for a binary dependent variable

    linear combination of one or more independent variables. In regression analysis, logistic regression (or logit regression) estimates the parameters of

    Logistic regression

    Logistic regression

    Logistic_regression

  • Posterior probability
  • Conditional probability used in Bayesian statistics

    David B. Dunson, Aki Vehtari and Donald B. Rubin (2014). Bayesian Data Analysis. CRC Press. p. 7. ISBN 978-1-4398-4095-5.{{cite book}}: CS1 maint: multiple

    Posterior probability

    Posterior_probability

  • Chi-squared test
  • Statistical hypothesis test

    (also chi-square or χ2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large. In simpler terms

    Chi-squared test

    Chi-squared test

    Chi-squared_test

  • Classification
  • Putting things into categories

    the task of establishing the classes themselves (for example through cluster analysis). Examples include diagnostic tests, identifying spam emails and deciding

    Classification

    Classification

  • Bivariate analysis
  • Concept in statistical analysis

    Bivariate analysis is one of the simplest forms of quantitative (statistical) analysis. It involves the analysis of two variables (often denoted as X, Y)

    Bivariate analysis

    Bivariate analysis

    Bivariate_analysis

  • Cobweb (clustering)
  • COBWEB is an incremental system for hierarchical conceptual clustering. COBWEB was invented by Professor Douglas H. Fisher, currently at Vanderbilt University

    Cobweb (clustering)

    Cobweb_(clustering)

  • Medoid
  • Objects maximally similar to other objects in a dataset

    representative objects of a data set or a cluster within a data set whose sum of dissimilarities to all the objects in the cluster is minimal. Medoids are similar

    Medoid

    Medoid

  • Linear regression
  • Statistical modeling method

    mixed models include analysis of data involving repeated measurements, such as longitudinal data, or data obtained from cluster sampling. They are generally

    Linear regression

    Linear regression

    Linear_regression

  • Jenks natural breaks optimization
  • Data clustering algorithm

    also called the Jenks natural breaks classification method, is a data clustering method designed to determine the best arrangement of values into different

    Jenks natural breaks optimization

    Jenks_natural_breaks_optimization

  • Consensus clustering
  • Method of result aggregation from multiple clustering algorithms

    Consensus clustering is a method of aggregating (potentially conflicting) results from multiple clustering algorithms. Also called cluster ensembles or

    Consensus clustering

    Consensus_clustering

  • Low-energy adaptive clustering hierarchy
  • Low-energy adaptive clustering hierarchy ("LEACH") is a TDMA-based MAC protocol which is integrated with clustering and a simple routing protocol in wireless

    Low-energy adaptive clustering hierarchy

    Low-energy_adaptive_clustering_hierarchy

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