implement homogenity test

Author: aozisik

src/homogenity/fFactors.ts

@@ -0,0 +1,22 @@
+/**
+ * F factors for homogenity calculation
+ * Array contains F1 and F2 values for each sample size
+ */
+const fFactors = {
+  20: [1.59, 0.57],
+  19: [1.6, 0.59],
+  18: [1.62, 0.62],
+  17: [1.64, 0.64],
+  16: [1.67, 0.68],
+  15: [1.69, 0.71],
+  14: [1.72, 0.75],
+  13: [1.75, 0.8],
+  12: [1.79, 0.86],
+  11: [1.83, 0.93],
+  10: [1.88, 1.01],
+  9: [1.94, 1.11],
+  8: [2.01, 1.25],
+  7: [2.1, 1.43],
+};
+
+export default fFactors;

src/homogenity/index.ts

@@ -0,0 +1,85 @@
+import { round, sum } from 'lodash';
+import { average, sampleStandardDeviation } from 'simple-statistics';
+import fFactors from './fFactors';
+
+export type HomogenityTestResult = {
+  /**
+   * Label of the sample used in the test
+   */
+  label: string;
+
+  /**
+   * The result(s) of the test
+   */
+  values: number[];
+};
+
+const R_DIVIDER = 2.8;
+
+/**
+ *
+ * @param results An array of test results
+ * @param R reproducibility constant
+ */
+export function homogenity(results: HomogenityTestResult[], r: number) {
+  if (results.length < 1) {
+    throw new Error('At least one test result is required');
+  }
+
+  if (results[0].values.length !== 2) {
+    throw new Error(
+      'We currently only support two values per test. You provided ' +
+      results[0].values.length +
+      ' values.'
+    );
+  }
+
+  const numTests = results.length;
+  const numRepetitions = results[0].values.length;
+
+  const enrichedResults = results.map((result) => ({
+    ...result,
+    avg: average(result.values),
+    deltaPow: Math.pow(Math.abs(result.values[0] - result.values[1]), 2),
+  }));
+
+  const xAvg = average(enrichedResults.map((r) => r.avg))
+
+  const sd = round(
+    sampleStandardDeviation(enrichedResults.map((r) => r.avg)),
+    3
+  );
+
+  const sw = Math.sqrt(
+    sum(enrichedResults.map((r) => r.deltaPow)) / (numTests * numRepetitions)
+  );
+
+  const ss2 = Math.pow(sd, 2) - Math.pow(sw, 2) / 2;
+
+  const ss = ss2 < 0 ? 0 : Math.sqrt(ss2);
+
+  const fValues = fFactors[numTests as keyof typeof fFactors];
+
+  if (!fValues) {
+    throw new Error(
+      'No F values found for ' + numTests + ' tests. Supported range: 7 to 20.'
+    );
+  }
+
+  const sigmaAllow2 = Math.pow((r / R_DIVIDER) * 0.3, 2);
+  const c = fValues[0] * sigmaAllow2 + fValues[1] * Math.pow(sw, 2);
+
+  const cSqrt = Math.sqrt(c);
+  const homogenity = ss < cSqrt;
+
+  return {
+    xAvg,
+    sd,
+    sw,
+    ss2,
+    ss,
+    c,
+    cSqrt,
+    homogenity,
+  };
+}

src/lib.ts

@@ -10,5 +10,6 @@ export * from './algorithms/cochran';
 
 export * from './algorithms/reference-value';
 
-
 export * from './grubbs';
+
+export * from './homogenity';

tests/homogenity.test.ts

@@ -0,0 +1,73 @@
+import { homogenity, HomogenityTestResult } from '../src/homogenity';
+
+describe('homogenity', () => {
+    it('should correctly calculate homogenity for given dataset', () => {
+        // Arrange
+        const testData: HomogenityTestResult[] = [
+            { label: 'X', values: [0.452, 0.438] },
+            { label: 'X', values: [0.436, 0.432] },
+            { label: 'X', values: [0.435, 0.434] },
+            { label: 'X', values: [0.456, 0.441] },
+            { label: 'X', values: [0.434, 0.433] },
+            { label: 'X', values: [0.439, 0.430] },
+            { label: 'X', values: [0.433, 0.430] },
+            { label: 'X', values: [0.434, 0.429] },
+            { label: 'X', values: [0.434, 0.436] }
+        ];
+        const r = 0.07;
+
+        // Act
+        const result = homogenity(testData, r);
+
+        // Assert
+        expect(result.homogenity).toBe(true);
+        expect(result.xAvg).toBeCloseTo(0.436, 3);
+        expect(result.sw).toBeCloseTo(0.006, 3);
+        expect(result.ss).toBeCloseTo(0.005, 3);
+        expect(result.ss2).toBeCloseTo(0.00002, 5);
+        expect(result.c).toBeCloseTo(0.0001, 4);
+        expect(result.cSqrt).toBeCloseTo(0.012, 3);
+    });
+
+    it('should correctly calculate homogenity for second dataset with 10 measurements', () => {
+        // Arrange
+        const testData: HomogenityTestResult[] = [
+            { label: 'X', values: [0.452, 0.438] },
+            { label: 'X', values: [0.436, 0.432] },
+            { label: 'X', values: [0.435, 0.434] },
+            { label: 'X', values: [0.456, 0.441] },
+            { label: 'X', values: [0.434, 0.433] },
+            { label: 'X', values: [0.439, 0.43] },
+            { label: 'X', values: [0.433, 0.430] },
+            { label: 'X', values: [0.434, 0.429] },
+            { label: 'X', values: [0.434, 0.436] },
+            { label: 'X', values: [0.47, 0.43] }
+        ];
+
+        const r = 0.07;
+
+        // Act
+        const result = homogenity(testData, r);
+
+        // Assert
+        expect(result.homogenity).toBe(true);
+        expect(result.xAvg).toBeCloseTo(0.438, 3);
+        expect(result.sw).toBeCloseTo(0.011, 2);
+        expect(result.ss).toBeCloseTo(0.000, 3);
+        expect(result.ss2).toBeCloseTo(-0.00001, 4);
+        expect(result.c).toBeCloseTo(0.0002, 4);
+        expect(result.cSqrt).toBeCloseTo(0.015, 3);
+    });
+
+    it('should throw error when input array is empty', () => {
+        expect(() => homogenity([], 0.07)).toThrow('At least one test result is required');
+    });
+
+    it('should throw error when values array does not contain exactly 2 values', () => {
+        const invalidData: HomogenityTestResult[] = [
+            { label: 'X', values: [0.452, 0.438, 0.434] }
+        ];
+
+        expect(() => homogenity(invalidData, 0.07)).toThrow('We currently only support two values per test');
+    });
+});