Unforced Error Differential Calculator

Audit actual tennis unforced-error annotation pairs, signed positive means more player errors; no score outcome, forced-error or causal skill inference.

Description

Unforced-error differential compares paired annotations.

Unforced-error differential compares paired annotations. Positive values mean the player made more errors.^[1]

The returned values include Signed player minus opponent errors, Total signed error differential. The How section below explains the calculation, input rules and interpretation.

When to use Unforced Error Differential Calculator

Use Unforced Error Differential Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No forced-error identification, match outcome or causal skill judgement is inferred.

Prepare the observed race, match or training records and the stated units. Supply independently verified rule editions, calibration tables and targets where requested.

How to use Unforced Error Differential Calculator and understand its results

Prepare the observed race, match or training records and the stated units. Supply independently verified rule editions, calibration tables and targets where requested.
Enter observedPlayerUnforcedErrors, observedOpponentUnforcedErrors using the field table and calculation rules, then run the tool.
Read signedPlayerMinusOpponentErrors, totalSignedErrorDifferential. The explanation below defines the units, signs, ordering and any flags or placeholder values.
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 field	Meaning	Value type; see rules below	Requirement
observedPlayerUnforcedErrors	Observed player unforced errors	list of number	Required
observedOpponentUnforcedErrors	Observed opponent unforced errors	list of number	Required

Enter aligned nonempty integer counts 0–1000000. Return signed per-match differences and their sum.

difference=playerErrors−opponentErrors

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

Output field	Meaning	Value type
signedPlayerMinusOpponentErrors	Signed player minus opponent errors	list of number
totalSignedErrorDifferential	Total signed error differential	number

json

{
  "input": {
    "observedPlayerUnforcedErrors": [
      10,
      20
    ],
    "observedOpponentUnforcedErrors": [
      12,
      15
    ]
  },
  "output": {
    "signedPlayerMinusOpponentErrors": [
      -2,
      5
    ],
    "totalSignedErrorDifferential": 3
  }
}

Limitations and assumptions

No forced-error identification, match outcome or causal skill judgement is inferred.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use First Serve Percent Won Conversion: First-serve percentage and conditional first-serve wins use different denominators. Overall service wins must also include second-serve wins. For a complementary task, use Ace Rate Per Match Calculator: Aces per match and aces per hundred service points measure different exposures. Unequal match lengths affect the pooled rate.

References

Unforced Error Differential Calculator — tool.io

Similar or alternative tools

First Serve Percent Won Conversion
First-serve percentage and conditional first-serve wins use different denominators. Overall service wins must also include second-serve wins.
Ace Rate Per Match Calculator
Aces per match and aces per hundred service points measure different exposures. Unequal match lengths affect the pooled rate.