python中实现Mann-Kendall趋势检验代码
时间: 2023-10-19 11:05:39 浏览: 341
mk.rar_MK 检验_MK-matlab_Mann_Kendall_mk程序_趋势
以下是Python中实现Mann-Kendall趋势检验的代码示例:
```python
import numpy as np
from scipy.stats import norm
def mann_kendall(x):
n = len(x)
s = np.zeros((n, n))
for i in range(n):
for j in range(i+1, n):
sgn = np.sign(x[j] - x[i])
s[i, j] = sgn
for k in range(i+1, j):
s[k, j] += sgn
sn = s.sum()
var_sn = n*(n-1)*(2*n+5)/18
if sn > 0:
z = (sn-1)/np.sqrt(var_sn)
elif sn == 0:
z = 0
else:
z = (sn+1)/np.sqrt(var_sn)
p = 2*(1-norm.cdf(abs(z)))
return z, p
```
该函数接受一维数组x作为输入,并返回Mann-Kendall趋势系数z和显著性水平p值。
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