Struct PairStats 

pub struct PairStats {
    pub n: usize,
    pub sx: f64,
    pub sy: f64,
    pub sxy: f64,
    pub sx2: f64,
    pub sy2: f64,
}

Statistical summary for paired data analysis.

Accumulates fundamental statistical quantities for bivariate data pairs, providing the building blocks for correlation analysis, regression coefficients, and covariance calculations with SIMD-accelerated computation.

Fields

• n: Count of valid (non-null) data pairs
• sx: Sum of x-values (Σx)
• sy: Sum of y-values (Σy)
• sxy: Sum of products (Σxy) for covariance calculation
• sx2: Sum of x-squared values (Σx²) for variance calculation
• sy2: Sum of y-squared values (Σy²) for variance calculation

Applications

These statistics enable efficient calculation of:

• Pearson correlation coefficient: r = (n⋅Σxy - Σx⋅Σy) / √[(n⋅Σx² - (Σx)²)(n⋅Σy² - (Σy)²)]
• Linear regression slope: β₁ = (n⋅Σxy - Σx⋅Σy) / (n⋅Σx² - (Σx)²)
• Sample covariance: cov(x,y) = (Σxy - n⋅x̄⋅ȳ) / (n-1)
• Coefficient of determination: R² for regression analysis

Fields

n: usize

Count of valid (non-null) paired observations

sx: f64

Sum of x-values (Σx)

sy: f64

Sum of y-values (Σy)

sxy: f64

Sum of cross-products (Σxy) for covariance computation

sx2: f64

Sum of squared x-values (Σx²) for variance computation

sy2: f64

Sum of squared y-values (Σy²) for variance computation

Trait Implementations

impl Default for PairStats

fn default() -> PairStats

Returns the “default value” for a type.