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Ian
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Added effect size calculation and version bump
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Cargo.lock

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Cargo.toml

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[package]
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name = "single-statistics"
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version = "0.1.0"
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version = "0.2.0"
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edition = "2024"
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license-file = "LICENSE.md"
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readme = "README.md"

src/testing/effect/mod.rs

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use nalgebra_sparse::CsrMatrix;
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use num_traits::{Float, NumCast, FromPrimitive};
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use std::fmt::Debug;
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use single_utilities::traits::FloatOpsTS;
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/// Calculate log2 fold change between two groups
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pub fn calculate_log2_fold_change<T>(
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matrix: &CsrMatrix<T>,
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row: usize,
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group1_indices: &[usize],
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group2_indices: &[usize],
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pseudo_count: f64,
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) -> anyhow::Result<f64>
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where
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T: FloatOpsTS,
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{
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if group1_indices.is_empty() || group2_indices.is_empty() {
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return Err(anyhow::anyhow!("Group indices cannot be empty"));
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}
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// Calculate mean for group 1
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let mut sum1 = 0.0;
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for &col in group1_indices {
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if let Some(entry) = matrix.get_entry(row, col) {
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let value = entry.into_value();
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sum1 += value.to_f64().unwrap();
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}
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// Missing entries are treated as zero
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}
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let mean1 = sum1 / group1_indices.len() as f64 + pseudo_count;
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// Calculate mean for group 2
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let mut sum2 = 0.0;
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for &col in group2_indices {
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if let Some(entry) = matrix.get_entry(row, col) {
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let value = entry.into_value();
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sum2 += value.to_f64().unwrap();
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}
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// Missing entries are treated as zero
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}
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let mean2 = sum2 / group2_indices.len() as f64 + pseudo_count;
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// Calculate log2 fold change
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let log2_fc = (mean2 / mean1).log2();
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Ok(log2_fc)
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}
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/// Calculate Cohen's d effect size for a row
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pub fn calculate_cohens_d<T>(
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matrix: &CsrMatrix<T>,
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row: usize,
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group1_indices: &[usize],
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group2_indices: &[usize],
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) -> anyhow::Result<f64>
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where
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T: FloatOpsTS,
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{
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if group1_indices.len() < 2 || group2_indices.len() < 2 {
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return Err(anyhow::anyhow!("Each group must have at least 2 samples for Cohen's d"));
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}
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// Extract values for group 1
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let mut group1_values = Vec::with_capacity(group1_indices.len());
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for &col in group1_indices {
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if let Some(entry) = matrix.get_entry(row, col) {
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let value = entry.into_value();
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group1_values.push(value.to_f64().unwrap());
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} else {
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group1_values.push(0.0); // Use zero for missing entries
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}
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}
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// Extract values for group 2
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let mut group2_values = Vec::with_capacity(group2_indices.len());
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for &col in group2_indices {
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if let Some(entry) = matrix.get_entry(row, col) {
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let value = entry.into_value();
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group2_values.push(value.to_f64().unwrap());
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} else {
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group2_values.push(0.0); // Use zero for missing entries
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}
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}
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// Calculate means
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let mean1 = group1_values.iter().sum::<f64>() / group1_values.len() as f64;
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let mean2 = group2_values.iter().sum::<f64>() / group2_values.len() as f64;
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// Calculate variances
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let var1 = group1_values.iter()
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.map(|&x| (x - mean1).powi(2))
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.sum::<f64>() / (group1_values.len() - 1) as f64;
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let var2 = group2_values.iter()
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.map(|&x| (x - mean2).powi(2))
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.sum::<f64>() / (group2_values.len() - 1) as f64;
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// Calculate pooled standard deviation
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let n1 = group1_values.len() as f64;
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let n2 = group2_values.len() as f64;
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let pooled_sd = ((n1 - 1.0) * var1 + (n2 - 1.0) * var2).sqrt() / ((n1 + n2 - 2.0).sqrt());
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// Calculate Cohen's d
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let d = (mean2 - mean1) / pooled_sd;
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Ok(d)
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}
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/// Calculate Hedge's g (bias-corrected effect size)
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pub fn calculate_hedges_g<T>(
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matrix: &CsrMatrix<T>,
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row: usize,
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group1_indices: &[usize],
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group2_indices: &[usize],
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) -> anyhow::Result<f64>
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where
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T: FloatOpsTS,
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{
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// First calculate Cohen's d
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let d = calculate_cohens_d(matrix, row, group1_indices, group2_indices)?;
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// Apply correction factor
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let n1 = group1_indices.len() as f64;
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let n2 = group2_indices.len() as f64;
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let n = n1 + n2;
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// Correction factor J
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let j = 1.0 - 3.0 / (4.0 * (n - 2.0) - 1.0);
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// Calculate Hedge's g
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let g = j * d;
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Ok(g)
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}
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#[cfg(test)]
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mod tests {
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use super::*;
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use approx::assert_abs_diff_eq;
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use nalgebra_sparse::{CooMatrix, CsrMatrix};
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fn create_test_matrix() -> CsrMatrix<f64> {
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// Create a simple test matrix for differential expression analysis:
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// Two groups (columns 0,1,2 vs 3,4,5) with different expression patterns
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// Row 0: Clear difference between groups
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// Row 1: No difference between groups
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// Row 2: Moderate difference
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// Row 3: Extreme difference
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// Row 4: All zeros in group 1
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let rows = vec![
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0, 0, 0, 0, 0, 0, // Row 0: all positions filled
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1, 1, 1, 1, 1, 1, // Row 1: all positions filled
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2, 2, 2, 2, 2, 2, // Row 2: all positions filled
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3, 3, 3, 3, 3, 3, // Row 3: all positions filled
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4, 4, 4 // Row 4: sparse (no entries for group 1)
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];
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let cols = vec![
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0, 1, 2, 3, 4, 5, // Row 0
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0, 1, 2, 3, 4, 5, // Row 1
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0, 1, 2, 3, 4, 5, // Row 2
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0, 1, 2, 3, 4, 5, // Row 3
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3, 4, 5 // Row 4 (only group 2 values)
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];
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let vals = vec![
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2.0, 2.2, 1.8, 8.0, 7.5, 8.5, // Row 0: ~2 vs ~8 = big difference
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5.0, 5.1, 4.9, 5.0, 5.1, 4.9, // Row 1: ~5 vs ~5 = no difference
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3.0, 3.3, 2.7, 5.0, 4.7, 5.3, // Row 2: ~3 vs ~5 = moderate
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0.1, 0.2, 0.1, 20.0, 19.0, 21.0, // Row 3: ~0.1 vs ~20 = extreme
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10.0, 8.0, 12.0 // Row 4: 0 vs ~10 = missing data test
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];
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let coo = CooMatrix::try_from_triplets(
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5, // 5 rows
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6, // 6 columns
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rows,
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cols,
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vals,
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)
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.unwrap();
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CsrMatrix::from(&coo)
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}
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#[test]
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fn test_log2_fold_change() {
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let matrix = create_test_matrix();
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let group1 = vec![0, 1, 2]; // First group indices
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let group2 = vec![3, 4, 5]; // Second group indices
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let pseudo_count = 0.01; // Small pseudo count
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// Row 0: Clear difference (~2 vs ~8)
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let fc0 = calculate_log2_fold_change(&matrix, 0, &group1, &group2, pseudo_count).unwrap();
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assert_abs_diff_eq!(fc0, 2.0, epsilon = 0.1); // log2(8/2) ≈ 2
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// Row 1: No difference (~5 vs ~5)
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let fc1 = calculate_log2_fold_change(&matrix, 1, &group1, &group2, pseudo_count).unwrap();
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assert_abs_diff_eq!(fc1, 0.0, epsilon = 0.01); // log2(5/5) = 0
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// Row 2: Moderate difference (~3 vs ~5)
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let fc2 = calculate_log2_fold_change(&matrix, 2, &group1, &group2, pseudo_count).unwrap();
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assert_abs_diff_eq!(fc2, 0.737, epsilon = 0.01); // log2(5/3) ≈ 0.737
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// Row 3: Extreme difference (~0.1 vs ~20)
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let fc3 = calculate_log2_fold_change(&matrix, 3, &group1, &group2, pseudo_count).unwrap();
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assert_abs_diff_eq!(fc3, 7.13, epsilon = 0.1); // log2(20/0.1) ≈ 7.13
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// Row 4: All zeros in group 1 (tests handling of missing data)
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let fc4 = calculate_log2_fold_change(&matrix, 4, &group1, &group2, pseudo_count).unwrap();
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// Group 1 is all 0s + pseudo_count, Group 2 is ~10 + pseudo_count
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assert!(fc4 > 9.0); // log2((10+0.01)/(0+0.01)) ≈ 9.97
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}
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#[test]
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fn test_empty_groups() {
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let matrix = create_test_matrix();
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// Test with empty groups
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let result = calculate_log2_fold_change(&matrix, 0, &[], &[3, 4, 5], 0.01);
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assert!(result.is_err());
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let result = calculate_log2_fold_change(&matrix, 0, &[0, 1, 2], &[], 0.01);
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assert!(result.is_err());
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// Test with small groups for Cohen's d
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let result = calculate_cohens_d(&matrix, 0, &[0], &[3, 4, 5]);
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assert!(result.is_err());
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let result = calculate_cohens_d(&matrix, 0, &[0, 1, 2], &[3]);
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assert!(result.is_err());
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}
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#[test]
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fn test_cohens_d() {
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let matrix = create_test_matrix();
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let group1 = vec![0, 1, 2]; // First group indices
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let group2 = vec![3, 4, 5]; // Second group indices
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// Row 0: Clear difference (~2 vs ~8)
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let d0 = calculate_cohens_d(&matrix, 0, &group1, &group2).unwrap();
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assert_abs_diff_eq!(d0, 15.76, epsilon = 0.1); // Large effect
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// Row 1: No difference (~5 vs ~5)
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let d1 = calculate_cohens_d(&matrix, 1, &group1, &group2).unwrap();
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assert_abs_diff_eq!(d1, 0.0, epsilon = 0.01); // No effect
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// Row 2: Moderate difference (~3 vs ~5)
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let d2 = calculate_cohens_d(&matrix, 2, &group1, &group2).unwrap();
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assert_abs_diff_eq!(d2, 6.67, epsilon = 0.1); // Large effect
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// Row 3: Extreme difference (~0.1 vs ~20)
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let d3 = calculate_cohens_d(&matrix, 3, &group1, &group2).unwrap();
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// The exact value may vary depending on implementation details,
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// but should definitely show a very large effect
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assert!(d3 > 20.0); // Very large effect
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}
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#[test]
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fn test_hedges_g() {
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let matrix = create_test_matrix();
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let group1 = vec![0, 1, 2]; // First group indices
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let group2 = vec![3, 4, 5]; // Second group indices
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// Row 0: Compare with Cohen's d
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let d0 = calculate_cohens_d(&matrix, 0, &group1, &group2).unwrap();
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let g0 = calculate_hedges_g(&matrix, 0, &group1, &group2).unwrap();
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// Hedge's g should be slightly smaller than Cohen's d due to correction
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assert!(g0 < d0);
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// But for large samples they shouldn't be too different
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assert_abs_diff_eq!(g0 / d0, 0.75, epsilon = 0.25);
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// Row 1: No difference case
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let g1 = calculate_hedges_g(&matrix, 1, &group1, &group2).unwrap();
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assert_abs_diff_eq!(g1, 0.0, epsilon = 0.01);
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// Test correction factor works
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// For larger groups, correction should be smaller
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let large_group1 = vec![0, 1, 2, 6, 7, 8, 9, 10];
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let large_group2 = vec![3, 4, 5, 11, 12, 13, 14, 15];
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// This will fail if sample sizes are out of range, but the test is to show
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// that larger sample sizes bring Hedge's g closer to Cohen's d
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if matrix.ncols() >= 16 {
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let d_large = calculate_cohens_d(&matrix, 0, &large_group1, &large_group2).unwrap_or(d0);
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let g_large = calculate_hedges_g(&matrix, 0, &large_group1, &large_group2).unwrap_or(g0);
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// With more samples, g should be closer to d
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assert!(g_large / d_large > g0 / d0);
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}
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}
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#[test]
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fn test_zero_variance_cases() {
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// Create a matrix with zero variance in one or both groups
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let rows = vec![0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1];
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let cols = vec![0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5];
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let vals = vec![
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5.0, 5.0, 5.0, 10.0, 10.0, 10.0, // Row 0: all values identical within groups
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1.0, 2.0, 3.0, 5.0, 5.0, 5.0 // Row 1: variance in group 1, none in group 2
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];
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let coo = CooMatrix::try_from_triplets(2, 6, rows, cols, vals).unwrap();
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let matrix = CsrMatrix::from(&coo);
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let group1 = vec![0, 1, 2];
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let group2 = vec![3, 4, 5];
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// Test log2fc - should work fine with zero variance
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let fc0 = calculate_log2_fold_change(&matrix, 0, &group1, &group2, 0.01).unwrap();
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assert_abs_diff_eq!(fc0, 1.0, epsilon = 0.01); // log2(10/5) = 1
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// Cohen's d with zero variance in both groups
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// In theory this should be infinity, but in practice we might get very large values
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// or potential numerical issues
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let d0 = calculate_cohens_d(&matrix, 0, &group1, &group2);
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match d0 {
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Ok(value) => assert!(value.abs() > 100.0 || value.is_infinite()), // Should be very large or infinity
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Err(_) => {} // It's also acceptable if the function determines this is an error case
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}
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// Cohen's d with zero variance in one group
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let d1 = calculate_cohens_d(&matrix, 1, &group1, &group2);
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if let Ok(value) = d1 {
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assert!(value.abs() > 1.0); // Should show a substantial effect
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}
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}
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#[test]
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fn test_negative_values() {
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// Test with negative values to ensure functions handle them correctly
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let rows = vec![0, 0, 0, 0, 0, 0];
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let cols = vec![0, 1, 2, 3, 4, 5];
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let vals = vec![-2.0, -2.2, -1.8, -8.0, -7.5, -8.5]; // Negative values
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let coo = CooMatrix::try_from_triplets(1, 6, rows, cols, vals).unwrap();
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let matrix = CsrMatrix::from(&coo);
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let group1 = vec![0, 1, 2];
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let group2 = vec![3, 4, 5];
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// Log2 fold change with negative values
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// For negative values, the fold change would be the ratio of absolute means
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// with a sign to indicate direction
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let fc = calculate_log2_fold_change(&matrix, 0, &group1, &group2, 0.0);
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// Expected: log2(|-8|/|-2|) ≈ 2, but sign needs handling in function
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assert!(fc.is_ok()); // Just check it doesn't crash
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// Cohen's d should work with negative values
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let d = calculate_cohens_d(&matrix, 0, &group1, &group2);
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assert!(d.is_ok());
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if let Ok(value) = d {
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// Cohen's d should have the same magnitude as with positive values but negative sign
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assert!(value < 0.0);
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assert_abs_diff_eq!(value.abs(), 15.76, epsilon = 0.1);
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}
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}
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}

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