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Complete spatial randomness (CSR) describes a point process whereby point events occur within a given study area in a completely random fashion. It is
Complete_spatial_randomness
Quality of a numerical sequence of having no recognizable patterns
Diehard tests Algorithmic randomness Complete spatial randomness Normal number One-time pad Random error Randomness Randomness tests Statistical hypothesis
Statistical_randomness
Subfield of spatial analysis and econometrics
Geographic information science Spatial autocorrelation Complete spatial randomness Modifiable areal unit problem Spatial analysis Correlation Regression
Spatial_econometrics
Techniques to study geometric data
to implementation. General topics Buffer analysis Cartography Complete spatial randomness Concepts and Techniques in Modern Geography Cost distance analysis
Spatial_analysis
Apparent lack of pattern or predictability in events
as often as 4. In this view, randomness is not haphazardness; it is a measure of uncertainty of an outcome. Randomness applies to concepts of chance
Randomness
Study of random spatial patterns
classic homogeneous Poisson point process (the basic model for complete spatial randomness) to find expressive models which allow effective statistical
Stochastic_geometry
Topics referred to by the same term
businesses take responsibility for the impact of their activities Complete spatial randomness Czechoslovak Socialist Republic, which broke up in 1990 This
CSR
Correlation between two variables that are group means
science Spatial autocorrelation Complete spatial randomness Modifiable areal unit problem Specific applications Spatial epidemiology Spatial econometrics
Ecological_correlation
Concept of uniform or non-uniform in an object's composition or attributes
target for many landscape restoration efforts. Complete spatial randomness Heterologous Epidemiology Spatial analysis Statistical hypothesis testing Homogeneity
Homogeneity_and_heterogeneity
Type of random mathematical object
others. This property is known under several names such as complete randomness, complete independence, or independent scattering and is common to all
Poisson_point_process
legitimacy of the source data commissioned. Cluster (epidemiology) Complete spatial randomness Geographic information system Geographic information science
Spatial_epidemiology
Method of statistical inference
Checking if a coin is fair Comparing means test decision tree Complete spatial randomness Counternull Falsifiability Fisher's method for combining independent
Statistical_hypothesis_test
Erroneously seeing patterns in randomness
itself they also first proposed). Apophenia Alignments of random points Complete spatial randomness Confirmation bias Law of proximity (Gestalt psychology)
Clustering_illusion
Phenomenon in statistics
20 or more points. Apophenia Clustering illusion Coincidence Complete spatial randomness General position Pattern recognition Procrustes analysis Ramsey
Alignments_of_random_points
Network representing spatial objects
realization of spatial network is a lattice or a random geometric graph (see figure in the right), where nodes are distributed uniformly at random over a two-dimensional
Spatial_network
Random set of points on a space with random number and random position
their inherent spatial structure. Accordingly, a first question of interest is often whether the given data exhibit complete spatial randomness (i.e. are a
Point_process
Formal fallacy in statistical interpretation
fallacy Complete spatial randomness Ecological regression Misuse of statistics Modifiable areal unit problem Spatial autocorrelation Spatial epidemiology
Ecological_fallacy
Memory about one's environment and spatial orientation
four levels of spatial randomness: Route Order – spatially continuous route Route Random – spatially continuous list presented randomly Map Order – street
Spatial_memory
rate Complementary event Complete-linkage clustering Complete spatial randomness Completely randomized design Completeness (statistics) Compositional
List_of_statistics_articles
In graph theory, the mathematically simplest spatial network
theory, a random geometric graph (RGG) is the mathematically simplest spatial network, namely an undirected graph constructed by randomly placing N nodes
Random_geometric_graph
Graph generated by a random process
In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability
Random_graph
Variable representing a random phenomenon
object which depends on random events. The term 'random variable' in its mathematical definition refers to neither randomness nor variability but instead
Random_variable
Process of making something random
machines, which enhance randomness beyond what manual shuffling can achieve. With the rise of online casinos, digital random number generators (RNGs)
Randomization
inhomogeneities may be occurring. The null model for point patterns is complete spatial randomness (CSR), modeled as a Poisson process in Rn, which implies that
Point_pattern_analysis
Areas that have a higher-than-average level of criminal activity
and spatial clustering. To test for spatial randomness, NNI was employed. For each year, 2004–2007, NNI was calculated and compared to a set of random points
Crime_hotspots
Network with non-trivial topological features
science Percolation theory Random graph Random graph theory of gelation Scale-free networks Small world networks Spatial network Trophic coherence Zinilli
Complex_network
Design of experiments to collect similar contexts together
one new sole, randomly assigning the two types to the left and right shoe of each volunteer. Such a design is called a "randomized complete block design
Blocking_(statistics)
Colles on Mars
Planitia. Bishop found the cones of Tartarus Colles to exhibit a complete spatial randomness except where solifluction or magmatic effects were readily apparent
Tartarus_Colles
Data processing technique
true experimental data inter-point spacing, or by the use of a complete spatial randomness assumption, depending upon the degree of clustering in the observed
Barnes_interpolation
Standard hostname for a networked device's loopback interface
list / matrix Incidence list / matrix Types Bipartite Complete Directed Hyper Labeled Multi Random Weighted Metrics Algorithms Centrality Degree Motif Clustering
Localhost
Study of graphs as a representation of relations between discrete objects
infrastructure networks and brain neural networks. Several models for spatial networks have been developed. Other networks emphasise the evolution over
Network_theory
Branch of statistics focusing on spatial data sets
considers this value as random since it was not measured or has not been measured yet. However, the randomness of Z(x) is not complete. Still, it is defined
Geostatistics
Range of methods designed for assigning cell types
Spatial transcriptomics, or spatially resolved transcriptomics, is a method that captures positional context of transcriptional activity within intact
Spatial_transcriptomics
Approximate nearest neighbor search algorithm
becomes slow when the dataset is large. Exact search methods based on spatial trees, such as the k-d tree and R-tree, can also become less effective
Hierarchical navigable small world
Hierarchical_navigable_small_world
Selection of data points in statistics
estimate the accuracy of results. Simple random sampling can be vulnerable to sampling error because the randomness of the selection may result in a sample
Sampling_(statistics)
Study of graphs defined by geometric means
and topological graphs" (Pach 2013). Geometric graphs are also known as spatial networks. A planar straight-line graph is a graph in which the vertices
Geometric_graph_theory
William J. Youden (1972)[full citation needed] "as a way of avoiding bad spatial patterns of treatments in designed experiments." Consider a batch process
Restricted_randomization
Method of statistical sampling
In statistics, stratified randomization is a method of sampling which first stratifies the whole study population into subgroups with same attributes
Stratified_randomization
Process involving chance used in research for allocating experimental subjects to groups
Random assignment or random placement is an experimental technique for assigning human participants or animal subjects to different groups in an experiment
Random_assignment
Form of scientific experiment
treatments from various psychological sources of bias.[citation needed] The randomness in the assignment of participants to treatments reduces selection bias
Randomized_controlled_trial
Network that allows computers to share resources and communicate with each other
standards dealing with local area networks and metropolitan area networks. The complete IEEE 802 protocol suite provides a diverse set of networking capabilities
Computer_network
Electronic communication subsystem on an integrated circuit
list / matrix Incidence list / matrix Types Bipartite Complete Directed Hyper Labeled Multi Random Weighted Metrics Algorithms Centrality Degree Motif Clustering
Network_on_a_chip
Two closely related models for generating random graphs
and removes edges (or links) randomly. Thus the Erdős–Rényi process is in fact unweighted link percolation on the complete graph. (One refers to percolation
Erdős–Rényi_model
graph (HGG) or hyperbolic geometric network (HGN) is a special type of spatial network where (1) latent coordinates of nodes are sprinkled according to
Hyperbolic_geometric_graph
Academic field
− 1 {\displaystyle N-1} (a tree) to E max {\displaystyle E_{\max }} (a complete graph). In the case of a simple graph (a network in which at most one (undirected)
Network_science
Method for solving quadratic equations
ISBN 978-1-003-85984-0. Extract of page 254 Dionissios T. Hristopulos (2020). Random Fields for Spatial Data Modeling: A Primer for Scientists and Engineers. Springer
Completing_the_square
Dirichlet processes. In particular, by applying operations that preserve complete randomness to the underlying Poisson processes: superposition, subsampling and
Dependent_Dirichlet_process
How humans move within a network
essential for accurate predictions of disease spreading". On a smaller spatial scale the regularity of human movement patterns and its temporal structure
Individual_mobility
Application of game theory to evolving populations in biology
Geographic factors in evolution include gene flow and horizontal gene transfer. Spatial game models represent geometry by putting contestants in a lattice of cells:
Evolutionary_game_theory
Collection of statistical models
and the dependent variable or the overall standardized difference of the complete model. Standardized effect-size estimates facilitate comparison of findings
Analysis_of_variance
Array of processing elements specialized for parallelizable workloads
In computer science, spatial architectures are a kind of computer architecture leveraging many collectively coordinated and directly communicating processing
Spatial_architecture
Process by which people befriend similar people
the observed fraction of same-type links to what would be expected under random mixing. If e i j {\displaystyle e_{ij}} is the fraction of links that connect
Homophily
Network for communications over distance
list / matrix Incidence list / matrix Types Bipartite Complete Directed Hyper Labeled Multi Random Weighted Metrics Algorithms Centrality Degree Motif Clustering
Telecommunications_network
Network whose links change over time
microcanonical randomized reference models framework provides guidance on which network features are preserved or lost during randomization. Complex contagion
Temporal_network
Generalization of the one-dimensional normal distribution to higher dimensions
(univariate) normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate normally distributed if every linear combination
Multivariate normal distribution
Multivariate_normal_distribution
Graph where most nodes are reachable in a small number of steps
Watts DJ (1999). Small Worlds: The Dynamics of Networks Between Order and Randomness. Princeton University Press. ISBN 978-0-691-00541-6. Fowler JH (2005)
Small-world_network
Sampling technique
relevant. Conceptually, simple random sampling is the simplest of the probability sampling techniques. It requires a complete sampling frame, which may not
Simple_random_sample
Physical principle that only immediate surroundings can influence an object
fulfill Einstein's goal—to "complete" quantum theory—with local hidden variables to explain the correlations between spatially separated particles as predicted
Principle_of_locality
Scale-free network generation algorithm
The Barabási–Albert (BA) model is an algorithm for generating random scale-free networks using a preferential attachment mechanism. Several natural and
Barabási–Albert_model
Experiment using randomness in some aspect, usually to aid in removal of bias
In science, randomized experiments are the experiments that allow the greatest reliability and validity of statistical estimates of treatment effects.
Randomized_experiment
Chart of correlation statistics
models. Autocorrelations should be near-zero for randomness; if the analyst does not check for randomness, then the validity of many of the statistical conclusions
Correlogram
Mathematical theory on behavior of connected clusters in a random graph
Fortuin–Kasteleyn random cluster model, which has many connections with the Ising model and other Potts models. Bernoulli (bond) percolation on complete graphs is
Percolation_theory
Concept in network science
The stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized
Stochastic_block_model
Maximum-entropy random graph models are random graph models used to study complex networks subject to the principle of maximum entropy under a set of structural
Maximum-entropy random graph model
Maximum-entropy_random_graph_model
Network whose degree distribution follows a power law
network has an underlying hyperbolic geometry, one can use the framework of spatial networks to generate scale-free degree distributions. This heterogeneous
Scale-free_network
main property of having proportionally more hubs among the nodes than by random generation; however, it significantly differs from the other similar models
Hierarchical_network_model
Maze used in psychological laboratory experiments
maze is a tool used in psychological laboratory experiments to measure spatial learning and memory. The test was first developed by Dr. Carol Barnes in
Barnes_maze
Geographical area in which a species can be found
or species dispersion, is the manner in which a biological taxon is spatially arranged. The geographic limits of a particular taxon's distribution is
Species_distribution
Concept in network science
networks. The simplest network model, for example, the (Erdős–Rényi model) random graph, in which each of n nodes is independently connected (or not) with
Degree_distribution
of using ρ {\displaystyle \rho } , since it incorporates the idea that complete antireciprocality is more statistically significant in networks with larger
Reciprocity_(network_science)
Organized way in which molecules are ordered and sorted
A chemical structure of a molecule is a spatial arrangement of its atoms and their chemical bonds. Its determination includes a chemist's specifying the
Chemical_structure
Subfield of information theory and computer science
randomness (2-randomness, 3-randomness, etc.). In addition to Martin-Löf randomness concepts, there are also recursive randomness, Schnorr randomness
Algorithmic information theory
Algorithmic_information_theory
Probabilistic problem-solving algorithm
algorithms based on repeated random sampling for obtaining numerical results. The underlying concept is to use randomness to solve deterministic problems
Monte_Carlo_method
Deviations from local realism
taking a small amount of initial random seed and increasing its randomness by using a cryptographic algorithm. In DI randomness amplification, this process
Quantum_nonlocality
Algorithm
the “homeless” node is randomly assigned to some community. If that community is complete, i.e. the size is exhausted, a randomly selected node of that
Lancichinetti–Fortunato–Radicchi benchmark
Lancichinetti–Fortunato–Radicchi_benchmark
Structural analysis of a network
S2CID 2286264. Blanchard, P; Volchenkov, D (2008). Mathematical Analysis of Urban Spatial Networks. Springer. doi:10.1007/978-3-540-87829-2. ISBN 978-3-540-87828-5
Biased_random_walk_on_a_graph
Type of vector space in math
the algebraic laws satisfied by addition and scalar multiplication of spatial vectors. In the first decade of the 20th century, parallel developments
Hilbert_space
Computer networking concept
create unnecessary traffic that leads to poor network performance or even a complete loss of network service. This flooding of packets is known as a unicast
Broadcast, unknown-unicast and multicast traffic
Broadcast,_unknown-unicast_and_multicast_traffic
Statistics term
composition of a measurable function with a random sample X1,...,Xn. The statistic T is said to be complete for the distribution of X if, for every measurable
Completeness_(statistics)
Measure of the joint variability
and statistics, covariance is a measure of the joint variability of two random variables. The sign of the covariance shows the tendency in the linear relationship
Covariance
Clustering and community detection algorithm
0 for all of the communities in T. */ v → C_prime /* Move node v into a random C_prime community with a positive probability. */ end if end for return
Leiden_algorithm
Method of generating random small-world graphs
The Watts–Strogatz model is a random graph generation model that produces graphs with small-world properties, including short average path lengths and
Watts–Strogatz_model
Analysis of social structures using network and graph theory
Cathleen; Blythe, Jim; Krackhardt, David (August 1997). "The effect of spatial arrangement on judgments and errors in interpreting graphs". Social Networks
Social_network_analysis
of a certain node with degree k is generated like this: k − 1 pins are randomly assigned between the interval 0 and 1. The interval is then divided into
Disparity filter algorithm of weighted network
Disparity_filter_algorithm_of_weighted_network
Matrix-valued random variable
Yau, Horng-Tzer (April 2009). "Local Semicircle Law and Complete Delocalization for Wigner Random Matrices". Communications in Mathematical Physics. 287
Random_matrix
Spatial analysis tools for geographic networks
these networks, and the methods for their analysis, is a core part of spatial analysis, geographic information systems, public utilities, and transport
Transport_network_analysis
Social structure made up of a set of social actors
comparison theory, and more recently, the Social identity approach. Few complete theories have been produced from social network analysis. Two that have
Social_network
Time series model
straightforward in the spatial and spatiotemporal setting due to the contemporaneous dependence between neighboring spatial locations. The spatial model is given
Autoregressive conditional heteroskedasticity
Autoregressive_conditional_heteroskedasticity
Mathematical function for the probability a given outcome occurs in an experiment
probability distribution. With this source of uniform pseudo-randomness, realizations of any random variable can be generated. For example, suppose U has a
Probability_distribution
Random graph model in applied mathematics
In applied mathematics, the soft configuration model (SCM) is a random graph model subject to the principle of maximum entropy under constraints on the
Soft_configuration_model
Tree data structure that partitions a 2D area
splits. The tree directory follows the spatial decomposition of the quadtree. A tree-pyramid (T-pyramid) is a "complete" tree; every node of the T-pyramid
Quadtree
Knowledge base that represents semantic relations between concepts in a network
list / matrix Incidence list / matrix Types Bipartite Complete Directed Hyper Labeled Multi Random Weighted Metrics Algorithms Centrality Degree Motif Clustering
Semantic_network
Sampling from a population which can be partitioned into subpopulations
stratum. Then sampling is done in each stratum, for example: by simple random sampling. The objective is to improve the precision of the sample by reducing
Stratified_sampling
Poisson process and is often used as its definition. The complete independence or `randomness' property of Poisson processes leads to some useful characteristics
Stochastic geometry models of wireless networks
Stochastic_geometry_models_of_wireless_networks
Arrangement of a communication network
network, all nodes are interconnected. (In graph theory this is called a complete graph.) The simplest fully connected network is a two-node network. A fully
Network_topology
Discrete set of Boolean variables
each have a bijection onto an integer series. A random Boolean network (RBN) is one that is randomly selected from the set of all possible Boolean networks
Boolean_network
Statistical measure of how far values spread from their average
defined as the expected value of the squared deviation from the mean of a random variable. The standard deviation is the square root of the variance. Technically
Variance
Measure of network community structure
statistically consistent, and finds communities in its own null model, i.e. fully random graphs, and therefore it cannot be used to find statistically significant
Modularity_(networks)
Normalized measure of the dispersion of a probability distribution
of the degree of randomness of a given phenomenon. For example, this technique is commonly used in currency management. For randomly diffusing particles
Index_of_dispersion
Numerical measure of a statistical relationship between variables
observations, often called a sample, or two components of a multivariate random variable with a known distribution.[citation needed] Several types of correlation
Correlation_coefficient
COMPLETE SPATIAL-RANDOMNESS
COMPLETE SPATIAL-RANDOMNESS
Boy/Male
Tamil
Complete
Girl/Female
Indian
Complete
Girl/Female
Indian
Complete
Boy/Male
Indian
Complete
Girl/Female
Tamil
Complete
Boy/Male
Tamil
Complete
Girl/Female
Tamil
Sompurna | ஸோமபà¯à®°à¯à®¨à®¾
Complete
Sompurna | ஸோமபà¯à®°à¯à®¨à®¾
Girl/Female
Tamil
Shesha Harani | ஷேஷ ஹரணீÂ
Complete
Shesha Harani | ஷேஷ ஹரணீÂ
Girl/Female
Hindu
Crystal clear
Girl/Female
Tamil
Complete
Girl/Female
Hindu
Complete
Girl/Female
Australian, French, Greek
Victory of the People
Girl/Female
Muslim
Complete
Girl/Female
Tamil
Complete
Boy/Male
Indian
Complete
Boy/Male
Muslim
Complete
Girl/Female
Indian, Telugu
Crystal; Pure
Boy/Male
Tamil
Complete
Boy/Male
Tamil
Poornan | பூரà¯à®¨à®¾à®¨
Complete
Poornan | பூரà¯à®¨à®¾à®¨
Girl/Female
Tamil
Complete
COMPLETE SPATIAL-RANDOMNESS
COMPLETE SPATIAL-RANDOMNESS
Boy/Male
Indian, Telugu
Brightness
Boy/Male
Tamil
Native, Motherly
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Attractive
Girl/Female
Australian, Indian, Sanskrit
Thought
Girl/Female
Indian, Telugu
Soul
Girl/Female
Indian, Tamil
Goddess Amman
Girl/Female
Hindu, Indian, Telugu
Wisdom; Memories
Boy/Male
Sikh
Ardent, Longing, Forehead
Surname or Lastname
English
English : occupational name for someone who earned his living by sawing wood, Middle English saghier, an agent derivative of sagh(en) ‘to saw’.Americanized form of some like-sounding Jewish surname or a translation of Seger.
Surname or Lastname
English
English : habitational name from Bakewell in Derbyshire, named with the Old English personal name Badeca, Baduca (from a short form of the various compound personal names with the first element beadu ‘battle’) + well(a) ‘spring’, ‘stream’.
COMPLETE SPATIAL-RANDOMNESS
COMPLETE SPATIAL-RANDOMNESS
COMPLETE SPATIAL-RANDOMNESS
COMPLETE SPATIAL-RANDOMNESS
COMPLETE SPATIAL-RANDOMNESS
n.
An incomplete or partial shadow.
a.
Finished; ended; concluded; completed; as, the edifice is complete.
v. t.
To follow like a spaniel.
v. t.
To bring to a state in which there is no deficiency; to perfect; to consummate; to accomplish; to fulfill; to finish; as, to complete a task, or a poem; to complete a course of education.
a.
Incomplete.
pl.
of Spatha
n.
An incomplete or partial dislocation.
a.
Making complete.
adv.
In a whole or complete manner; entirely; completely; perfectly.
a.
Furnished with a spathe; as, spathal flowers.
n.
One appointed for a special service or occasion.
n.
Paralysis, complete or partial. See Paralysis.
imp. & p. p.
of Compete
n.
Composed of two or more parts; composite; not simple; as, a complex being; a complex idea.
a.
Not complete; not filled up; not finished; not having all its parts, or not having them all adjusted; imperfect; defective.
imp. & p. p.
of Complete
n.
A patrial noun. Thus Romanus, a Roman, and Troas, a woman of Troy, are patrial nouns, or patrials.
a.
Complex, complicated.
adv.
In a complete manner; fully.
a.
See Spatial.