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Related Concept Videos

Introduction to Test of Independence01:21

Introduction to Test of Independence

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In statistics, the term independence means that one can directly obtain the probability of any event involving both variables by multiplying their individual probabilities. Tests of independence are chi-square tests involving the use of a contingency table of observed (data) values.
The test statistic for a test of independence is similar to that of a goodness-of-fit test:
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Causality in Epidemiology01:21

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Causality or causation is a fundamental concept in epidemiology, vital for understanding the relationships between various factors and health outcomes. Despite its importance, there's no single, universally accepted definition of causality within the discipline. Drawing from a systematic review, causality in epidemiology encompasses several definitions, including production, necessary and sufficient, sufficient-component, counterfactual, and probabilistic models. Each has its strengths and...
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Criteria for Causality: Bradford Hill Criteria - II01:28

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The Bradford Hill criteria serve as guidelines for establishing causative links in epidemiological research. Beyond Strength, Consistency, Specificity, and Temporality, key criteria also include Biological Gradient, Plausibility, Coherence, Experiment, and Analogy. These principles assist scientists in assessing the likelihood of causation in complex biological contexts. Below is a summary of these concepts:
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Criteria for Causality: Bradford Hill Criteria - I01:30

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The Bradford Hill criteria are a group of principles that provide a framework to determine a causal relationship between a specific factor and a disease. There are nine criteria that are pivotal in assessing causality in epidemiological studies. Here's a closer look at Strength, Consistency, Specificity, and Temporality criteria with definitions and examples:
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Constraints and Statical Determinacy01:26

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In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...
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Hypothesis Test for Test of Independence01:16

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The test of independence is a chi-square-based test used to determine whether two variables or factors are independent or dependent. This hypothesis test is used to examine the independence of the variables. One can construct two qualitative survey questions or experiments based on the variables in a contingency table. The goal is to see if the two variables are unrelated (independent) or related (dependent). The null and alternative hypotheses for this test are:
H0: The two variables (factors)...
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Related Experiment Video

Updated: Apr 4, 2026

Task Interruption and Resumption Paradigm for Testing the Activation and Pursuit of an Abstract Thinking Goal
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How multiple causes combine: independence constraints on causal inference.

Mimi Liljeholm1

  • 1Department of Cognitive Sciences, University of California Irvine, CA, USA.

Frontiers in Psychology
|September 1, 2015
PubMed
Summary

Uncertainty in causal relationships increases when causes are confounded or interact. This study confirms the causal power view, showing how violations of independence impact causal induction and strength estimation.

Keywords:
Bayesian inferencecausal powerconfoundinginteractionuncertainty

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Area of Science:

  • Cognitive Psychology
  • Causal Inference
  • Decision Making

Background:

  • The causal power view posits that independent causes and independent influences are crucial for accurate causal induction.
  • Violations of these independence constraints can introduce uncertainty regarding causal relationships.

Purpose of the Study:

  • To investigate how confounding and interaction between candidate causes affect uncertainty in causal induction.
  • To test the predictions of the causal power view regarding these violations.

Main Methods:

  • Participants evaluated causal relationships under conditions of confounding and/or interaction between candidate causes.
  • Experimental design manipulated the independence of candidate causes and their influences.

Main Results:

  • Increased uncertainty about causal existence and strength was observed when causes were confounded or interacted.
  • A Bayesian causal model accounted for uncertainty arising from confounding but not interaction.

Conclusions:

  • Confounding and interaction significantly increase uncertainty in causal judgments, supporting the causal power view.
  • Distinct mechanisms may underlie uncertainty generated by confounding versus interaction, impacting causal generalization.