Struct SpmChart 

#[non_exhaustive]
pub struct SpmChart {
    pub fpca: FpcaResult,
    pub eigenvalues: Vec<f64>,
    pub t2_phase1: Vec<f64>,
    pub spe_phase1: Vec<f64>,
    pub t2_limit: ControlLimit,
    pub spe_limit: ControlLimit,
    pub config: SpmConfig,
    pub sample_size_adequate: bool,
}

Univariate SPM chart from Phase I.

The chart assumes approximate multivariate normality in the score space. For non-Gaussian functional data, the chi-squared control limits are approximate. Use t2_limit_robust() with bootstrap method for distribution-free limits.

For finite calibration samples, the exact Hotelling T^2 distribution is (n_cal * ncomp / (n_cal - ncomp)) * F(ncomp, n_cal - ncomp). The chi-squared limit chi2(ncomp) is asymptotically exact as n_cal -> inf, but can be anti-conservative for small calibration sets (n_cal < 10 * ncomp). When the calibration set is small, prefer bootstrap-based limits.

Fields (Non-exhaustive)

Non-exhaustive structs could have additional fields added in future. Therefore, non-exhaustive structs cannot be constructed in external crates using the traditional Struct { .. } syntax; cannot be matched against without a wildcard ..; and struct update syntax will not work.

fpca: FpcaResult

FPCA result from the tuning set.

eigenvalues: Vec<f64>

Eigenvalues lambda_l = s_l^2 / (n_tune - 1), where s_l are singular values from the SVD of the centered data matrix X = U Sigma V^T. This gives the sample covariance eigenvalues since Cov = X^T X / (n-1) has eigenvalues s_l^2 / (n-1).

The actual number of components may be fewer than config.ncomp if limited by sample size or grid resolution.

t2_phase1: Vec<f64>

T-squared values for the calibration set.

spe_phase1: Vec<f64>

SPE values for the calibration set.

t2_limit: ControlLimit

T-squared control limit.

spe_limit: ControlLimit

SPE control limit.

config: SpmConfig

Configuration used to build the chart.

sample_size_adequate: bool

Whether the sample size meets the recommended minimum (10 × ncomp). False indicates results may be unstable.

Trait Implementations

impl Clone for SpmChart

fn clone(&self) -> SpmChart

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for SpmChart

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl PartialEq for SpmChart

fn eq(&self, other: &SpmChart) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl StructuralPartialEq for SpmChart