Marks To Final Recall Ratio Math

Aggregate actual judge recall ballots and final-slot cutoff with unresolved boundary ties explicitly retained; not classification recall metric, inventing adjudication tiebreaks, skating-system rank or official results.

Description

Recall ballots need an explicit cutoff tie group.

Recall ballots need an explicit cutoff tie group. A tied group larger than remaining slots cannot be selected unambiguously.^[1]

Enter unique nonempty competitor IDs, an aligned nonempty binary competitor-by-judge matrix and integer final slots 1–competitorCount. Return marks/fractions, above/tied IDs, cutoff and reserved slots. Add tied IDs to definite selections only if their group exactly fills remaining slots.

When to use Marks To Final Recall Ratio Math

Use Marks To Final Recall Ratio Math when you need to evaluate the supplied records under the calculation and evidence rules below. No tiebreak, skating-system rank or official results are invented.

Prepare the annotated dance, timing, rehearsal or inventory records requested. Supply caller rules, evidence flags and local reference values; distinguish beats, bars, counts and seconds.

How to use Marks To Final Recall Ratio Math and understand its results

Prepare the annotated dance, timing, rehearsal or inventory records requested. Supply caller rules, evidence flags and local reference values; distinguish beats, bars, counts and seconds.
Enter callerCompetitorIds, observedJudgeRecallFlags, callerFinalRecallSlots using the field table and calculation rules, then run the tool.
Read recallMarksByCompetitor, recallMarkFractions, strictlyAboveCutoffCompetitorIds, cutoffTiedCompetitorIds, unambiguouslySelectedCompetitorIds, cutoffMarks, slotsReservedForCutoffGroup. 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
callerCompetitorIds	Caller competitor ids	list of string	Required
observedJudgeRecallFlags	Observed judge recall flags	list of list of number	Required
callerFinalRecallSlots	Caller final recall slots	number	Required

cutoff=Nth largest mark total; reservedSlots=slots−strictlyAboveCount

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

Output field	Meaning	Value type
recallMarksByCompetitor	Recall marks by competitor	list of number
recallMarkFractions	Recall mark fractions	list of number
strictlyAboveCutoffCompetitorIds	Strictly above cutoff competitor ids	list of string
cutoffTiedCompetitorIds	Cutoff tied competitor ids	list of string
unambiguouslySelectedCompetitorIds	Unambiguously selected competitor ids	list of string
cutoffMarks	Cutoff marks	number
slotsReservedForCutoffGroup	Slots reserved for cutoff group	number

json

{
  "input": {
    "callerCompetitorIds": [
      "A",
      "B",
      "C"
    ],
    "observedJudgeRecallFlags": [
      [
        1,
        1,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        0,
        0,
        0
      ]
    ],
    "callerFinalRecallSlots": 1
  },
  "output": {
    "recallMarksByCompetitor": [
      2,
      1,
      0
    ],
    "recallMarkFractions": [
      0.6666666666666666,
      0.3333333333333333,
      0
    ],
    "strictlyAboveCutoffCompetitorIds": [],
    "cutoffTiedCompetitorIds": [
      "A"
    ],
    "unambiguouslySelectedCompetitorIds": [
      "A"
    ],
    "cutoffMarks": 2,
    "slotsReservedForCutoffGroup": 1
  }
}

Limitations and assumptions

No tiebreak, skating-system rank or official results are invented.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Matrices are limited to 128 rows and 128 entries per row. 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 Swiss Tournament Round Count log₂(n): A doubling-capacity estimate provides a simple Swiss-round planning heuristic. Actual pairing and tie resolution depend on tournament rules. For a complementary task, use Bridge HCP High Card Points: Bridge high-card points value honors in a 13-card hand. Suit shape is a separate useful description.

References

Marks To Final Recall Ratio Math — tool.io

Similar or alternative tools

Swiss Tournament Round Count log₂(n)
A doubling-capacity estimate provides a simple Swiss-round planning heuristic. Actual pairing and tie resolution depend on tournament rules.
Bridge HCP High Card Points
Bridge high-card points value honors in a 13-card hand. Suit shape is a separate useful description.