Methods · Measurement · Open research

Tools & Code.

Measuring cognition in bits.

Information-theoretic approaches provide a common language for quantifying what decisions, confidence reports, and response times reveal about psychological processes. This page introduces the measures developed and used in my research and will host documented analysis code.

Information-theoretic methods.

Each resource will connect a scientific question to the relevant measure, a methodological reference, and—when released—code and a worked example. Code is not yet available on this page; the entries below describe the research rather than promising a working download.

Metacognition / confidence

Bits of Confidence

Quantify the information provided by confidence judgments about stimulus states, and distinguish information available in the categorical response from additional information carried by confidence.

Code: forthcoming
Reference: Fitousi (2025), Psychonomic Bulletin & Review, “Bits of confidence: Metacognition as uncertainty reduction.”
Metacognitive efficiency

Conditional Mutual Information

Assess metacognitive information beyond first-order responses, including conditional mutual information measures used to examine metacognitive efficiency in face matching.

Code: forthcoming
Reference: Fitousi (2025), Entropy, “Information-theoretic measures of metacognitive efficiency: Empirical validation with the face matching task.”
Response-time distributions

Cumulative Residual Entropy

Describe the uncertainty of response-time distributions using cumulative residual entropy (CRE), an information-theoretic statistic designed for nonnegative continuous variables.

Code: forthcoming
Reference: Fitousi (2023), Entropy, “Quantifying entropy in response-time (RT) distributions using the Cumulative Residual Entropy (CRE) function.”
Emerging research

Information Search & Uncertainty

A developing framework for quantifying the information obtained through additional search and the relationship between uncertainty, evidence gathering, and confidence-based decisions.

Framework in development
Supporting documentation and software will be added following validation and release.

Reproducible research.

As code becomes available, each tool will include a versioned script or repository, an example dataset, expected output, a citation, and usage notes. For now, please consult the cited papers for precise definitions and estimators.

Interested in applying one of these measures to your own data? Get in touch ↗