2021-03-19 07:39:10 +00:00
|
|
|
|
---
|
2022-04-10 23:08:18 +00:00
|
|
|
|
sidebar_position: 301
|
|
|
|
|
sidebar_label: welchTTest
|
2021-03-19 07:39:10 +00:00
|
|
|
|
---
|
|
|
|
|
|
|
|
|
|
# welchTTest {#welchttest}
|
|
|
|
|
|
|
|
|
|
对两个总体的样本应用 Welch t检验。
|
|
|
|
|
|
|
|
|
|
**语法**
|
|
|
|
|
|
|
|
|
|
``` sql
|
|
|
|
|
welchTTest(sample_data, sample_index)
|
|
|
|
|
```
|
|
|
|
|
两个样本的值都在 `sample_data` 列中。如果 `sample_index` 等于 0,则该行的值属于第一个总体的样本。 反之属于第二个总体的样本。
|
|
|
|
|
零假设是群体的均值相等。假设为正态分布。总体可能具有不相等的方差。
|
|
|
|
|
|
|
|
|
|
**参数**
|
|
|
|
|
|
|
|
|
|
- `sample_data` — 样本数据。[Integer](../../../sql-reference/data-types/int-uint.md), [Float](../../../sql-reference/data-types/float.md) 或 [Decimal](../../../sql-reference/data-types/decimal.md).
|
|
|
|
|
- `sample_index` — 样本索引。[Integer](../../../sql-reference/data-types/int-uint.md).
|
|
|
|
|
|
|
|
|
|
**返回值**
|
|
|
|
|
|
|
|
|
|
[元组](../../../sql-reference/data-types/tuple.md),有两个元素:
|
|
|
|
|
|
|
|
|
|
- 计算出的t统计量。 [Float64](../../../sql-reference/data-types/float.md)。
|
|
|
|
|
- 计算出的p值。[Float64](../../../sql-reference/data-types/float.md)。
|
|
|
|
|
|
|
|
|
|
**示例**
|
|
|
|
|
|
|
|
|
|
输入表:
|
|
|
|
|
|
|
|
|
|
``` text
|
|
|
|
|
┌─sample_data─┬─sample_index─┐
|
|
|
|
|
│ 20.3 │ 0 │
|
|
|
|
|
│ 22.1 │ 0 │
|
|
|
|
|
│ 21.9 │ 0 │
|
|
|
|
|
│ 18.9 │ 1 │
|
|
|
|
|
│ 20.3 │ 1 │
|
|
|
|
|
│ 19 │ 1 │
|
|
|
|
|
└─────────────┴──────────────┘
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
查询:
|
|
|
|
|
|
|
|
|
|
``` sql
|
|
|
|
|
SELECT welchTTest(sample_data, sample_index) FROM welch_ttest;
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
结果:
|
|
|
|
|
|
|
|
|
|
``` text
|
|
|
|
|
┌─welchTTest(sample_data, sample_index)─────┐
|
|
|
|
|
│ (2.7988719532211235,0.051807360348581945) │
|
|
|
|
|
└───────────────────────────────────────────┘
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
**参见**
|
|
|
|
|
|
|
|
|
|
- [Welch's t-test](https://en.wikipedia.org/wiki/Welch%27s_t-test)
|
|
|
|
|
- [studentTTest function](../../../sql-reference/aggregate-functions/reference/studentttest.md#studentttest)
|