doe_fractional_factorial — MULTIVAR plan op

• 資料種類:無 → design(僅由參數決定的運算子 —— 不接受影像或資料輸入)

• 呼叫: import fullseye as fs; fs.ledger.doe_fractional_factorial(factors=5, p=2, generators=None, center=0) -> 'dict'(要直接呼叫實作,import doe; doe.doe_fractional_factorial(factors=5, p=2, generators=None, center=0) -> 'dict';從台帳取用則 opsmultivar.get("doe_fractional_factorial"))

用法

由生成元建構的二水準正則部分因子設計 2^(k-p)(Box 與 Hunter 1961)-> design。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

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 (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.

詳細使用指南

• design_of_experiments 族使用指南

參考(範例資料、文獻)

• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。

• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。

• 演算法的正典(作者、年份)與用途見上面的族使用指南。

可執行的範例(實際呼叫該運算子並已驗證的樣例)

• doe_plan_tour — py -3.11 examples/doe_plan_tour.py

型別可銜接的下一個運算子(可接受 design 作為輸入)

doe_decode · rsm_fit · doe_main_effects · sens_morris · sens_sobol

同類別(plan)

doe_lhs · doe_orthogonal_array · doe_central_composite · doe_box_behnken


*Provenance: doe.py — MULTIVAR 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*

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