Matrix Row Balance

Measure matrix row-sum balance by coefficient of variation.

Description

Contact-matrix row-sum balance can be summarized by relative dispersion.

Contact-matrix row-sum balance can be summarized by relative dispersion.1

Measure matrix row-sum balance by coefficient of variation.

When to use Matrix Row Balance

Use this tool to measure matrix row-sum balance by coefficient of variation.

Prepare the already measured signals, counts, coordinates, fitted coefficients or sequence strings requested. Keep assay definitions, units, aligned lists and caller-selected thresholds consistent.

How to use Matrix Row Balance and understand its results

  1. Prepare the already measured signals, counts, coordinates, fitted coefficients or sequence strings requested. Keep assay definitions, units, aligned lists and caller-selected thresholds consistent.
  2. Enter matrixRowSums, maximumCvPercent using the field table and calculation rules, then run the tool.
  3. Read meanRowSum, rowSumCvPercent, balanced. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
matrixRowSumsMatrix row sumslist of numberRequired
maximumCvPercentMaximum coefficient of variationnumber; minimum: 0Required

Enter nonempty nonnegative row sums with positive mean and nonnegative CV maximum. Return mean/CV/inclusive gate.

CV%=100populationSD(rowSums)/mean(rowSums)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
meanRowSumMean row sumnumber; minimum: 0
rowSumCvPercentRow-sum coefficient of variationnumber; minimum: 0
balancedWithin supplied CV limitboolean
json
{
  "input": {
    "matrixRowSums": [
      90,
      100,
      110
    ],
    "maximumCvPercent": 10
  },
  "output": {
    "meanRowSum": 100,
    "rowSumCvPercent": 8.16496580927726,
    "balanced": true
  }
}

Limitations and assumptions

No matrix balancing or contact-quality verdict is performed.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use ICE Convergence Round: Find the first ICE correction round meeting a convergence tolerance. For a complementary task, use Insulation Local Minimum: Find the lowest insulation score within an interior search range.

References

  1. Matrix Row Balance — tool.io

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