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Correlations02:20

Correlations

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Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
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Correlation and Causation01:27

Correlation and Causation

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Statistical tests can calculate whether there is a relationship, or correlation, between independent and dependent variables. An indirect relationship of the variables signifies a correlation, while a direct relationship shows causation. If it is determined that no connection exists between the variables, then the correlation is a coincidence.
Correlation versus Causation
If the dependent variable increases or decreases when the independent variable increases, there is a positive or negative...
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Correlation01:09

Correlation

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In statistics, two variables are said to be correlated if the values of one variable are associated with the other variable. Depending on the relationship between two variables, correlation can be of three types– positive correlation, negative correlation, and zero correlation.
Two variables, for example, a and b, are said to be positively correlated if both variables move in the same direction. In other words, a positive correlation exists between two variables, a and b, if:
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Social Foundations of Self I: Play and Game01:24

Social Foundations of Self I: Play and Game

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The development of self in children is deeply rooted in social interactions, mainly through stages of play and structured games. These stages, outlined by sociologist George Herbert Mead, illustrate how children progressively learn to understand and adopt social roles, forming a cohesive sense of self.The Play Stage: Imitation and Simple Role-TakingIn the early years of childhood, the play stage is characterized by imitative behavior, where children engage in role-playing based on familiar...
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Correlation and Regression00:53

Correlation and Regression

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In statistics, correlation describes the degree of association between two variables. In the subfield of linear regression, correlation is mathematically expressed by the correlation coefficient, which describes the strength and direction of the relationship between two variables. The coefficient is symbolically represented by 'r' and ranges from -1 to +1. A positive value indicates a positive correlation where the two variables move in the same direction. A negative value suggests a...
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Coefficient of Correlation01:12

Coefficient of Correlation

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The correlation coefficient, r, developed by Karl Pearson in the early 1900s, is numerical and provides a measure of strength and direction of the linear association between the independent variable x and the dependent variable y.
If you suspect a linear relationship between x and y, then r can measure how strong the linear relationship is.
What the VALUE of r tells us:
The value of r is always between –1 and +1: –1 ≤ r ≤ 1.
The size of the correlation r indicates the...
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A quantum Samaritan's dilemma cellular automaton.

Royal Society open science·2017
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Related Experiment Video

Updated: Feb 16, 2026

The Spatial Memory Game: Testing the Relationship Between Spatial Language, Object Knowledge, and Spatial Cognition
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The Spatial Memory Game: Testing the Relationship Between Spatial Language, Object Knowledge, and Spatial Cognition

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Spatial correlated games.

Ramón Alonso-Sanz1

  • 1Technical University of Madrid, ETSIAAB, Department of Statistics and GSC, C. Universitaria, Madrid 28040, Spain.

Royal Society Open Science
|January 2, 2018
PubMed
Summary
This summary is machine-generated.

This study explores correlated two-person games, examining how strategy changes affect collective play in lattice and random networks. Results highlight the impact of correlation on Nash equilibrium strategy pairs.

Keywords:
correlationgamesspatial

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Area of Science:

  • Game Theory
  • Network Science
  • Computational Social Science

Background:

  • Extends previous work on correlated games (Iqbal et al., 2016).
  • Investigates collective play dynamics beyond independent interactions.

Purpose of the Study:

  • Analyze correlated two-person games in lattice and random network structures.
  • Examine strategy adaptation in iterated games based on neighbor payoffs.
  • Assess the influence of varying correlation degrees on Nash equilibrium.

Main Methods:

  • Simulation of four game types in iterated scenarios.
  • Players adopt strategies from best-paid neighbors.
  • Analysis of games on two-dimensional lattices and random interactions.

Main Results:

  • Identified specific Nash equilibrium strategy pairs under different correlation levels.
  • Observed strategy evolution influenced by network topology and correlation.
  • Demonstrated the impact of collective play on game outcomes.

Conclusions:

  • Correlation significantly shapes strategy selection and equilibrium outcomes in two-person games.
  • Network structure (lattice vs. random) modulates the effect of correlation.
  • Findings provide insights into collective behavior and strategic decision-making.