Description
Return lastRank=firstRank+groupSize-1 and midrank=firstRank+(groupSize-1)/2 for positive integer rank and group size.
A similarity term depends on the comparison universe, missing-value policy, treatment of repeated features, and normalization. A score can also have a caller-selected value when its mathematical denominator vanishes. Those conventions matter before interpreting a threshold or comparing methods.
Return lastRank=firstRank+groupSize-1 and midrank=firstRank+(groupSize-1)/2 for positive integer rank and group size.
When to use this tool
Use Spearman Tie Midrank One Group when you need this particular comparison term, normalization, domain condition, or empty-result policy in a larger matching workflow.
How to use the tool and how it works
- Enter firstRank, groupSize. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read midrank, lastRank. Use the output convention below.
Return lastRank=firstRank+groupSize-1 and midrank=firstRank+(groupSize-1)/2 for positive integer rank and group size.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstRank | One-based first position of the contiguous tie group. | Required. Safe integer; minimum 1. |
| groupSize | Group Size | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| midrank | Midrank | Required. Finite number. |
| lastRank | Last Rank | Required. Safe integer. |
{
"input": {
"firstRank": 3,
"groupSize": 4
},
"output": {
"midrank": 4.5,
"lastRank": 6
}
}Limitations and assumptions
- Ranks are one-based and the tie group is assumed contiguous. No observations are ranked or tie membership checked, and this is not a complete Spearman statistic.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Compare methods only after aligning feature definitions, missingness, empty policies, multiplicities, and normalizers. Use a complete comparison when the tool returns only one contribution or count check.
References
Similar or alternative tools
- Matching Score Tie Width
Measure the score range within a supplied absolute tolerance of one matching reference.
- Containment Score Direction Reversal Gap
Calculate firstContainment=intersection/firstSize and secondContainment=intersection/secondSize, then gap=firstContainment-secondContainment.