Mathematics Branches, Topics, and Sub-Topics

A structured visual guide to the major mathematical areas and their relationships.

Search by code, branch, topic, subtopic, or a keyword from the descriptions.

62Kxx Design of experiments

This subtopic introduces the core ideas in design of experiments, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.

Specific topics

62K05 Optimal statistical designs

Overview

Optimal statistical designs. This topic studies design of experiments for efficient information extraction under controlled intervention and uncertainty.

Related Wikipedia Page

Wikipedia: Design of experiments

Useful Links

Key Ideas

  • randomization, blocking, and replication
  • optimal design criteria
  • factorial and response-surface designs

Typical Uses

Used to plan studies that maximize inferential power while controlling bias and cost.

Applications

  • Industrial process optimization
  • Agricultural and biomedical experiments
  • A/B testing and product experimentation

References

Recommended Textbooks

62K10 Block designs in statistics

Overview

Block designs in statistics. This topic studies design of experiments for efficient information extraction under controlled intervention and uncertainty.

Related Wikipedia Page

Wikipedia: Design of experiments

Useful Links

Key Ideas

  • randomization, blocking, and replication
  • optimal design criteria
  • factorial and response-surface designs

Typical Uses

Used to plan studies that maximize inferential power while controlling bias and cost.

Applications

  • Industrial process optimization
  • Agricultural and biomedical experiments
  • A/B testing and product experimentation

References

Recommended Textbooks

62K15 Factorial statistical designs

Overview

Factorial statistical designs. This topic studies design of experiments for efficient information extraction under controlled intervention and uncertainty.

Related Wikipedia Page

Wikipedia: Design of experiments

Useful Links

Key Ideas

  • randomization, blocking, and replication
  • optimal design criteria
  • factorial and response-surface designs

Typical Uses

Used to plan studies that maximize inferential power while controlling bias and cost.

Applications

  • Industrial process optimization
  • Agricultural and biomedical experiments
  • A/B testing and product experimentation

References

Recommended Textbooks

62K20 Response surface designs in statistics

Overview

Response surface designs in statistics. This topic studies design of experiments for efficient information extraction under controlled intervention and uncertainty.

Related Wikipedia Page

Wikipedia: Design of experiments

Useful Links

Key Ideas

  • randomization, blocking, and replication
  • optimal design criteria
  • factorial and response-surface designs

Typical Uses

Used to plan studies that maximize inferential power while controlling bias and cost.

Applications

  • Industrial process optimization
  • Agricultural and biomedical experiments
  • A/B testing and product experimentation

References

Recommended Textbooks

62K25 Robust parameter designs

Overview

Robust parameter designs. This topic studies design of experiments for efficient information extraction under controlled intervention and uncertainty.

Related Wikipedia Page

Wikipedia: Design of experiments

Useful Links

Key Ideas

  • randomization, blocking, and replication
  • optimal design criteria
  • factorial and response-surface designs

Typical Uses

Used to plan studies that maximize inferential power while controlling bias and cost.

Applications

  • Industrial process optimization
  • Agricultural and biomedical experiments
  • A/B testing and product experimentation

References

Recommended Textbooks