python怎么做q检验_统计学_Cochran’s Q Test(python代码实现)
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cochran Q 測試用于非參數檢驗,特別是對分,二分
成功或失敗
有效或無效
活著或死了
有缺陷的或無缺陷的
python代碼
無顯著差異,結論一致
# -*- coding: utf-8 -*-
# Import standard packages
import numpy as np
import pandas as pd
# additional packages
from statsmodels.sandbox.stats.runs import cochrans_q
obs = np.array([[1,1,0,1,0,1,1,1,0,0,1,1],
[1,1,1,1,0,1,1,1,0,1,1,1],
[1,1,0,0,0,1,1,0,1,0,1,1]])
def cochranQ(obs):
'''Cochran's Q test: 12 subjects are asked to perform 3 tasks. The outcome of each task is "success" or
"failure". The results are coded 0 for failure and 1 for success. In the example, subject 1 was successful
in task 2, but failed tasks 1 and 3.
Is there a difference between the performance on the three tasks?
'''
# I prefer a DataFrame here, as it indicates directly what the values mean
df = pd.DataFrame(obs.T, columns = ['Diet1', 'Diet2', 'Diet3'])
# --- >>> START stats <<< ---
(Q, pVal) = cochrans_q(df)
# --- >>> STOP stats <<< ---
print('\nCOCHRAN\'S Q -----------------------------------------------------')
print('Q = {0:5.3f}, p = {1:5.3f}'.format(Q, pVal))
if pVal < 0.05:
print("H1 wins,There is a significant difference between the three tasks.")
else:
print("H0 wins,There was no significant change")
cochranQ(obs)
測試,12個對象參加三種考試,檢驗三種考試難度是否一樣。
H0,三種考試難度相同
H1,三種考試難度不同,至少有一個簡單或難
三種考試有顯著差異
總結
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