pub fn scb_two_sample_test(
data_a: &FdMatrix,
data_b: &FdMatrix,
argvals: &[f64],
bandwidth: f64,
nb: usize,
confidence: f64,
multiplier: MultiplierDistribution,
) -> Result<TestResult, FdarError>Expand description
Two-sample mean-equality test via a simultaneous confidence band for the
mean difference (SCBmeanfd-style).
Forms the paired difference matrix d[i] = data_a[i] − data_b[i] (over the
first min(n_a, n_b) rows) and reuses the Degras multiplier bootstrap
(scb_mean_degras) to produce a simultaneous band for the mean
difference. The null of equal means is rejected when that band excludes
zero at any grid point.
The returned TestResult encodes the decision:
statisticis the maximum standardized excursion of the difference band from zero,max_t (|center(t)| / half_width(t)); it exceeds1.0exactly when the band excludes zero somewhere (i.e. when the null is rejected).p_valueis0.0when the null is rejected (band excludes zero) and1.0otherwise — a conservative encoding of the simultaneous-band decision at the requestedconfidence(there is no finer p-value from a single band).n_permis0.
§Arguments
data_a- First sample (n_a x m).data_b- Second sample (n_b x m).argvals- Evaluation points (lengthm).bandwidth- Kernel bandwidth (> 0).nb- Number of bootstrap replicates (>= 1).confidence- Confidence level in(0, 1).multiplier- Multiplier distribution.
§Errors
Returns FdarError::InvalidDimension if the two samples have unequal or
zero column counts or an argvals length mismatch. Forwards
scb_mean_degras validation errors otherwise (including the >= 3 rows
requirement on the difference matrix, bandwidth > 0, nb >= 1,
confidence in (0, 1)).