factorial-ideation

name	factorial-ideation
description	DOE thinking: identify factors, define levels, and explore combinations to systematically cover the design space.
execution	strategy
dependencies	{"sops":["coverage-gap-detection","creative-ideation-factor-level-design","enumeration-synthesis"],"tactics":["gap-driven-generation"]}

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

Available Tactics

Optional, no fixed order; the final leaf is always a sop.

Tactic	When to use
gap-driven-generation	Generate solutions targeting specific coverage gaps — detect gaps, generate failure-driven solutions, and design factor-level experiments.

Available SOPs

Optional, no fixed order; the final leaf is always a sop.

SOP	When to use
coverage-gap-detection	Detect uncovered regions in the solution space, producing a prioritized gap list.
creative-ideation-factor-level-design	Identify factors and their levels for a problem, then design an experiment matrix for systematic exploration.
enumeration-synthesis	Synthesize all systematic enumeration outputs into a structured idea report with prioritized recommendations.