doe_central_composite — 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_central_composite(factors=3, alpha='rotatable', center=4, generators=None, inscribed=False) -> 'dict' (実装を直接呼ぶなら import doe; doe.doe_central_composite(factors=3, alpha='rotatable', center=4, generators=None, inscribed=False) -> 'dict'、台帳から引くなら opsmultivar.get("doe_central_composite"))

使い方

Central composite design (Box & Wilson 1951) -> design.

Three parts: the two-level factorial (full 2^k, or a fraction from generators as in doe_fractional_factorial — it must be resolution V or better so that every two-factor interaction of the quadratic model stays estimable), 2k axial points at ±alpha on each axis, and center centre points.

alpha: "rotatable" — alpha = F^(1/4) with F the number of factorial points (the prediction variance then depends only on the distance from the centre; Box & Hunter 1957), "face" — alpha = 1 (face-centred, three levels only), "spherical" — alpha = sqrt(k), or a number > 0.

inscribed=True shrinks the whole design by 1/alpha so that the axial points sit at the ends of the range (lo/hi) and the factorial points inside it; otherwise the factorial points sit at lo/hi and the axial points go outside the range — meta['outside_range'] then names the factors whose natural values leave lo..hi (check that the bench can be set there).

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

• multivar_inspection_tour — py -3.11 examples/multivar_inspection_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_fractional_factorial · doe_box_behnken

*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)。*

doe_central_composite — MULTIVAR plan op

使い方