fullseye

doe_fractional_factorial — MULTIVAR plan op

• データ種: なし → design(引数だけで決まる op —— 画像やデータの入力を取らない)
• 呼び出し: import fullseye as fs; fs.ledger.doe_fractional_factorial(factors=5, p=2, generators=None, center=0) -> 'dict' (実装を直接呼ぶなら import doe; doe.doe_fractional_factorial(factors=5, p=2, generators=None, center=0) -> 'dict'、台帳から引くなら opsmultivar.get("doe_fractional_factorial"))

使い方

Regular two-level fractional factorial 2^(k-p) from generators (Box & Hunter 1961) -> design.

The first k - p factors (letters A, B, C … skipping I) form a full factorial in standard (Yates) order, A changing fastest. Each generator "D=ABC" sets an added factor’s column to the product of base columns ("E=-ABD" for the other half). generators=None takes the recommended generators for (k, p) from the NIST/SEMATECH e-Handbook table (:data:FF_NIST, 5.3.3.4.7 Table 3.17, after Box, Hunter & Hunter); p=0 or generators=() gives the full factorial 2^k.

The defining relation (every product of generator words I = ABCD = ...), the resolution (length of the shortest word: III = main effects aliased with two-factor interactions, IV = main effects clear but 2fi aliased with each other, V = 2fi clear) and the alias table of main effects and two-factor interactions are returned in meta and alias. They are computed from the generators, and the returned matrix is checked against them (each aliased pair of columns is identical up to sign).

center adds centre runs (coded 0) for a curvature check; they do not change the alias structure.

詳しい使い方ガイド

• design_of_experiments ファミリ ガイド

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。
• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。
• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• doe_plan_tour — py -3.11 examples/doe_plan_tour.py

型が繋がる次の op(design を入力に取れる)

doe_decode · rsm_fit · doe_main_effects · sens_morris · sens_sobol

同カテゴリ(plan)

doe_lhs · doe_orthogonal_array · doe_central_composite · doe_box_behnken

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Provenance: doe.py — MULTIVAR operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.

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