Signal Detection Analysis

Compute d', da, Az, and bias metrics from confusion matrices.

34|5|Updated Feb 28, 2026
One-click install
npx skills add https://github.com/HaoxuanLiTHUAI/awesome_cognitive_and_neuroscience_skills --skill signal-detection-analysis
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: Signal Detection Analysis
Source: https://github.com/HaoxuanLiTHUAI/awesome_cognitive_and_neuroscience_skills/tree/main/skills/signal-detection-analysis
Command: npx skills add https://github.com/HaoxuanLiTHUAI/awesome_cognitive_and_neuroscience_skills --skill signal-detection-analysis

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Domain-validated decision logic, formulas, and interpretation guidelines for applying Signal Detection Theory to cognitive science data.

Core Features & Use Cases

  • Yes/No and 2AFC analysis: compute d', da, and Az, with bias measures (c, c', beta) and ROC-based estimates.
  • Unified guidance for thresholds, extreme-proportions corrections, and unequal-variance modeling across memory, perception, and diagnostic domains.
  • Use Case: Researchers evaluating recognition memory or perceptual detection can separate sensitivity from criterion to interpret results accurately.

Quick Start

Provide a ready-to-run SDT analysis on your data by computing H, FA, d', and ROC metrics from observed responses.

Frequently Asked Questions about Signal Detection Analysis

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate d-prime and criterion bias for yes/no recognition memory data?

To calculate d-prime and bias for yes/no recognition memory data, you need hit and false alarm rates from confusion matrices. This Skill computes sensitivity metrics like d' alongside bias measures such as c, c', and beta for accurate cognitive data interpretation.

What is the best way to apply signal detection theory to 2AFC and rating scale paradigms?

Signal detection theory applies to 2AFC and rating scale paradigms by estimating ROC-based metrics like da and Az. This Skill provides unified guidance for computing these sensitivity measures and optional unequal-variance modeling across perceptual and memory tasks.

How do I handle extreme proportions when computing signal detection metrics?

To handle extreme proportions in signal detection metrics, you must apply specialized corrections to avoid infinite z-scores. This Skill provides built-in routines for extreme-proportion corrections alongside zROC-based estimation for reliable sensitivity analysis.

Can signal detection analysis be used for eyewitness identification and clinical decision making?

Signal detection analysis can be used for eyewitness identification and clinical decision making by separating sensitivity from response criterion. This Skill supports these paradigms, allowing researchers to quantify discriminability accurately across diagnostic and cognitive domains.

What data format is required to compute ROC and d-prime metrics for perceptual detection tasks?

Computing ROC and d-prime metrics requires data structured as confusion matrices or rating distributions from observed responses. This Skill processes these inputs to generate sensitivity estimates and bias metrics for perceptual detection tasks.