pod_decision_tradeoff — SPC pod op

• Data kinds: table × signal → table

• Call: import fullseye as fs; fs.ledger.pod_decision_tradeoff(fit, noise, a_dec_grid=None, n_grid=25, level=0.95) (to call the implementation directly, import pod; pod.pod_decision_tradeoff(fit, noise, a_dec_grid=None, n_grid=25, level=0.95); from the registry, opsspc.get("pod_decision_tradeoff"))

Usage

Trade-off table of (a50, a90, a90/95, false-call probability) as the decision threshold a_dec is varied (table).

> The detailed description below is the original text — the summary and the headings are translated.

MIL-HDBK-1823A G.3.6.2.4.1(図 G-28)の数表版。閾値を上げれば誤検出は減り、同じ回帰から出る a90/95 は大きくなる —— 「どこに閾値を置くか」は統計ではなく運用の判断で、この表はその判断の材料を並べるだけ(最適点は選ばない)。

*fit* は pod_ahat_fit の表、*noise* は無欠陥部位の応答(元の â の単位、座標は *fit* の log_response に従う)。*a_dec_grid* を省略すると、雑音の中央値から「雑音の平均 + 6 標準偏差」までを n_grid 点(対数座標なら等比)。各行は pod_from_ahat と pod_false_call を同じ閾値で呼んだものと一致する。

返り: 列 a_dec a50 a90 a90_95 pfp_normal pfp_empirical pfp50 pfp95(すべて長さ n_grid か len(a_dec_grid))。

空の入力(fit が空の dict)は ValueError。拒否(ValueError): pod_ahat_fit の表でない・β1 が 0 と区別できない、雑音が空・定数・非有限、閾値が非有限(対数座標で 0 以下)。

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_pod_lighting — py -3.11 examples/poc_pod_lighting.py

Ops the type connects to (they accept table as input)

msa_anova_table · msa_gauge_rr · msa_bias_linearity · msa_attribute_agreement · gum_standard_uncertainty · gum_propagate · gum_expanded · gum_monte_carlo

Same category (pod)

pod_ahat_fit · pod_from_ahat · pod_hitmiss_fit · pod_false_call


*Provenance: pod.py — SPC operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

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