factorial-ideation

name	factorial-ideation
description	DOE thinking: identify factors, define levels, and explore combinations to systematically cover the design space.
execution	strategy
used-by	systematic-enumeration

Factorial Ideation

Apply Design of Experiments (DOE) thinking to ideation: identify key factors, define their levels, and systematically explore combinations.

State Ledger

Resource	Target	Current	%
web-search	20	0	0%
web-research	8	0	0%
paper-overview	20	0	0%
paper-search	12	0	0%
paper-research	5	0	0%

HARD-GATE

Cannot exit strategy until ≥80% of each budget line is consumed OR yield targets are met with justification for remaining budget.

Available Tactics

Tactic	Role
gap-driven-generation	Generate ideas for uncovered factor combinations
evaluation-filtering	Score and filter factorial-derived ideas

Available SOPs

SOP	Role
factor-level-design	Identify factors, define levels, build experiment matrix
coverage-gap-detection	Find unexplored regions in factorial space
failure-driven-generation	Generate solutions for problematic combinations
enumeration-synthesis	Synthesize factorial exploration into idea report

Execution Guidance

1. Identify factors: Determine key dimensions that define the solution space
2. Define levels: For each factor, enumerate possible values/states
3. Design matrix: Run factor-level-design to build the experiment matrix
4. Detect gaps: Run coverage-gap-detection on the factorial space
5. Generate: Propose solutions for high-priority unexplored combinations
6. Filter: Apply evaluation-filtering to rank generated ideas
7. Synthesize: Produce structured report via enumeration-synthesis