pod_false_call — SPC pod op

• Data kinds: signal → table

• Call: import fullseye as fs; fs.ledger.pod_false_call(noise, a_dec, log_response=False) (to call the implementation directly, import pod; pod.pod_false_call(noise, a_dec, log_response=False); from the registry, opsspc.get("pod_false_call"))

Usage

Probability of a false call from the responses noise of unflawed sites and the decision threshold a_dec (table).

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

判定は â > a_dec で「検出」(POD と同じ規則)。3 通りで返す:

• pfp_empirical = k/n —— 素の比率。

• pfp50 / pfp90 / pfp95 —— k 回 / n 機会の二項の片側上限 (Clopper–Pearson、Beta⁻¹(c; k+1, n−k))。MIL-HDBK-1823A G.4.6 の表 G-I と同じ定義で、0 回でも 0 にはならない(150 機会で 0 回なら PFP50 = 0.0046)。1823A は報告とリスク計算に PFP50 を使えと言う。

• pfp_normal —— 雑音を正規と見た 1 − Φ((y_dec − m)/s)(G.3.5.3、log_response なら対数座標で)。裾の外挿なので、分布の仮定に敏感(1823A G.3.4.2 が警告するとおり)。

空の入力(noise が 0 要素)は ValueError。拒否(ValueError): 空・非有限・2 点未満、雑音がすべて同じ値(正規の幅が 0)、a_dec 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

• poc_sam_hybrid_bonding_voids — py -3.11 examples/poc_sam_hybrid_bonding_voids.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_decision_tradeoff


*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.