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lib/statistics/spearman/Spearman.md
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# SPEARMAN: Spearman Rank Correlation Coefficient
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Statistic |
| **Inputs** | Source (close) |
| **Parameters** | `period` (default 20) |
| **Outputs** | Single series (Spearman) |
| **Output range** | Varies (see docs) |
| **Warmup** | `period` bars |
### TL;DR
- Spearman's ρ (rho) measures the strength and direction of monotonic association between two variables.
- Parameterized by `period` (default 20).
- Output range: Varies (see docs).
- Requires `period` bars of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "The person who asks whether rank correlation exists is not asking a wholly foolish question." — Maurice Kendall (1970)
Spearman's ρ (rho) measures the strength and direction of monotonic association between two variables. Unlike Pearson's correlation, which measures linear relationship, Spearman captures any monotonic relationship. A portfolio of stocks whose returns move monotonically together has different risk than one whose components merely share a linear trend. Spearman detects both.