spc_mt_unit_space — SPC mt op

• 数据种类:matrix → table

• 调用: import fullseye as fs; fs.ledger.spc_mt_unit_space(data)(要直接调用实现,import spc; spc.spc_mt_unit_space(data);从台账取用则 opsspc.get("spc_mt_unit_space"))

用法

> 该算子的说明尚无译文,以下照原文给出。

Build an MT-method unit space from known-good observations.

`data is a 2-D array of shape (n, p) — n observations of p`

features, all of which must be normal product. The unit space is the

triple `(mean, std, inv_corr)`: per-feature mean and ddof=1 standard

deviation, and the inverse of the correlation matrix of the standardised

data. Feed it to :func:spc_mt_distance to score new observations.

Returns a dict with `mean, std, corr and inv_corr` arrays, the

unit space's own `md per row, md_sq_mean`, the exact expected value

`md_sq_mean_exact = (n-1)/n, the counts n and p`, how many features

had no spread (`flat_features`), and whether the correlation matrix was

singular enough to need a pseudo-inverse (`pseudo_inverse`).

The mean of `md**2 over the unit space equals (n-1)/n` exactly — the

quantitative form of "a unit space averages a distance of one". It reaches 1

only as `n grows; the deficit is exactly 1/n`.

Raises `ValueError`: a non-2-D / empty *data*, fewer than two

observations (no spread to standardise by), zero features, or non-finite

input.

参考(示例数据・文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者・年份)与用途见上面的族使用指南。

可运行的示例(实际调用该算子并已验证的样例)

• poc_mt_hidden_fault — py -3.11 examples/poc_mt_hidden_fault.py

• poc_spc — py -3.11 examples/poc_spc.py

类型可衔接的下一个算子(可接受 table 作为输入)

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

同类别(mt)

spc_mt_distance · spc_mt_sn_ratio


*Provenance: spc.py — SPC 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

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