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Building factorial prompt matrices using query targets and configurable factor classes: A methods framework for
1Jebel Corp., New York, NY, United States.
Methodsx
|August 11, 2026
Summary
We introduce the factorial prompt matrix (FPM), a standardized method for creating diverse prompts for conversational AI (CAI). This framework enables controlled research into CAI behavior across various factors, enhancing data analysis.
Area of Science:
- Computational Linguistics
- Human-Computer Interaction
- Social Sciences Research Methods
Background:
- Conversational AI (CAI) products are increasingly prevalent, yet methods for systematically studying their responses are unstandardized.
- Research into CAI behavior often lacks structured approaches for prompt variation.
- The need for controlled experimental designs to analyze CAI response patterns is growing.
Purpose of the Study:
- To formalize and introduce a methods framework for creating Factorial Prompt Matrices (FPMs).
- To provide a structured approach for social and behavioral scientists to conduct controlled research on CAI response behavior.
- To demonstrate the application of FPMs in analyzing CAI information retrieval, using medical prompts as a case study.
Main Methods:
- Developed a principled sampling spine of CAI query "target" items.
- Defined four classes of configurable factors: Large Language Model (LLM), product-system, user context, and query design.
- Crossed target items with factors to generate a factorial grid of distinct prompts for CAI interaction via APIs.
Main Results:
- Demonstrated the utility of FPMs in constructing and deploying systematic prompts to CAIs.
- Successfully applied FPMs to analyze CAI information retrieval behaviors, including web search invocation, using the ICD-11 as a prompt spine.
- Showcased FPMs' adaptability for both single-factor and multi-factor observational and experimental research designs.
Conclusions:
- Factorial Prompt Matrices offer a formalized and standardized data structure for prompt engineering in CAI research.
- The modular, four-class schema provides a flexible framework for organizing prompting protocols.
- FPMs facilitate rigorous, controlled investigations into CAI response behaviors, advancing scientific understanding.
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