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Design factorial experiments to test how specific factors affect outcomes
Passed 20 of 22 test cases with the skill, and 17 of 22 without it.
and 1 more in the full report
3 fixed17 passed either way2 still failing0 broke
Tokens, turns and time describe resource use, not a dollar price.
One of 3 test cases the skill fixed. Same model, same prompt, with and without the skill.
I am preparing an AI fine-tuning experiment where I need to evaluate learning rate, batch size, dropout rate, weight decay, and sequence length simultaneously. Because GPU time is limited, we cannot test every single combination. Can you guide me through identifying the variables, picking a suitable experiment design method given our budget, outlining the level specifications, and detailing how to estimate sample sizes and metrics?
| Checked | Without skill | With skill |
|---|---|---|
| Recommends fractional factorial design for 5 factors under budget constraints. | Missed | Passed |
| Specifies power analysis for sample size estimation. | Missed | Passed |
The instructions your model reads when the skill loads.
Question: Which factors to test at what levels in combination?
| Design Type | Factors | Runs (k factors, 2 levels) | When to Use |
|---|---|---|---|
| Full Factorial | 2-4 | 2^k | Budget allows, need all interactions |
| Fractional (Res V) | 4-6 | 2^(k-1) | Need 2-factor interactions |
| Fractional (Res III) | 5-8 | 2^(k-p) | Screening, main effects only |
| Plackett-Burman | 8-15 | k+1 (nearest multiple of 4) | Many factors, screening phase |
| Taguchi L9/L18 | 4-8 | 9 or 18 | Robust design with noise factors |
| RSM (CCD) | 2-5 | 2^k + 2k + center | Optimization after screening |
Optional, no fixed order; the final leaf is always a sop.
| Tactic | When to use |
|---|
test cases passed, vs 17 / 22 without
More skills from the same source and nearby in the registry, with their headline benchmark lift.