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kategorie
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Causal Structural Model (CSM)

Mathematical representation formalizing causal relationships between variables through a system of structural equations and a causal graph. This framework allows distinguishing correlation from causation and calculating the effects of interventions.

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Directed Acyclic Graph (DAG)

Graphical structure where nodes represent variables and directed edges represent direct causal relationships, without cycles. DAGs are fundamental for representing causal assumptions and applying identification criteria.

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Simultaneous Structural Equations (SSE)

System of equations where each endogenous variable is expressed as a function of its direct causes and an error term. SSEs quantify causal mechanisms and allow simulating the effects of interventions.

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do() interventions

Mathematical operator representing an external intervention on a variable, modifying its value independently of its normal causes. do() interventions allow distinguishing conditional probabilities from causal probabilities.

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Causal Probability

Probability distribution resulting from an external intervention rather than passive observation. It quantifies the consequences of actions and fundamentally differs from standard conditional probabilities.

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Confounding Variables

Variables that simultaneously influence both cause and effect, creating spurious associations in observational data. Their identification and adjustment are crucial for valid causal inference.

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Counterfactuals

Questions about what would have happened if a different decision had been made, given the current state of the world. Counterfactuals are essential for causal reasoning and explaining phenomena.

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Causal Mediation

Analysis decomposing the total effect of a treatment into direct and indirect effects passing through mediators. Causal mediation allows understanding the underlying mechanisms of causal relationships.

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Total Causal Effect

Global impact of an intervention on a target variable, including all direct and indirect causal paths. The total effect captures the complete influence of one variable on another in the system.

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Direct Causal Effect

Influence of one variable on another that is not mediated by intermediate variables in the model. The direct effect represents the immediate causal mechanism between two variables.

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Indirect Causal Effect

Influence of one variable on another transmitted through one or more mediators. Indirect effects reveal complex causal chains and underlying mechanisms.

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Causal Diagram

Visual representation of causal hypotheses using nodes and directed edges to encode knowledge about causal mechanisms. Causal diagrams facilitate reasoning and bias identification.

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