ClickHouse/docs/en/sql-reference/aggregate-functions/reference/covarsampstable.md

73 lines
1.8 KiB
Markdown

---
slug: /en/sql-reference/aggregate-functions/reference/covarsampstable
sidebar_position: 126
---
# covarSampStable
Calculates the value of `Σ((x - x̅)(y - y̅)) / (n - 1)`. Similar to [covarSamp](../reference/covarsamp.md) but works slower while providing a lower computational error.
**Syntax**
```sql
covarSampStable(x, y)
```
**Arguments**
- `x` — first variable. [(U)Int*](../../data-types/int-uint.md), [Float*](../../data-types/float.md), [Decimal](../../data-types/decimal.md).
- `y` — second variable. [(U)Int*](../../data-types/int-uint.md), [Float*](../../data-types/float.md), [Decimal](../../data-types/decimal.md).
**Returned Value**
- The sample covariance between `x` and `y`. For `n <= 1`, `inf` is returned. [Float64](../../data-types/float.md).
**Example**
Query:
```sql
DROP TABLE IF EXISTS series;
CREATE TABLE series(i UInt32, x_value Float64, y_value Float64) ENGINE = Memory;
INSERT INTO series(i, x_value, y_value) VALUES (1, 5.6,-4.4),(2, -9.6,3),(3, -1.3,-4),(4, 5.3,9.7),(5, 4.4,0.037),(6, -8.6,-7.8),(7, 5.1,9.3),(8, 7.9,-3.6),(9, -8.2,0.62),(10, -3,7.3);
```
```sql
SELECT covarSampStable(x_value, y_value)
FROM
(
SELECT
x_value,
y_value
FROM series
);
```
Result:
```reference
┌─covarSampStable(x_value, y_value)─┐
│ 7.206275555555556 │
└───────────────────────────────────┘
```
Query:
```sql
SELECT covarSampStable(x_value, y_value)
FROM
(
SELECT
x_value,
y_value
FROM series LIMIT 1
);
```
Result:
```reference
┌─covarSampStable(x_value, y_value)─┐
│ inf │
└───────────────────────────────────┘
```