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Table 7 Statistical significance of differences in classification accuracy between triple combinations of classfication algorithms and proposed Hybrid algorithm

From: A novel hybrid model to predict concomitant diseases for Hashimoto’s thyroiditis

Classification methods

Proposed hybrid method

Z-test

\(x^2\)-test

p value

SVM-RF-LR

Hybrid LR-KNN-MLP

5.73

32.8

\(<0\).0001

SVM-RF-KNN

Hybrid LR-KNN-MLP

8.88

80.0

\(<0\).0001

SVM-RF-MLP

Hybrid LR-KNN-MLP

16.75

280.56

\(<0\).0001

SVM-LR-KNN

Hybrid LR-KNN-MLP

5.99

35.88

\(<0\).0001

SVM-LR-MLP

Hybrid LR-KNN-MLP

7.2

51.84

\(<0\).0001

SVM-KNN-MLP

Hybrid LR-KNN-MLP

12.4

153.76

\(<0\).0001

RF-LR-KNN

Hybrid LR-KNN-MLP

3.2

10.34

\(=0\).0009

RF-LR-MLP

Hybrid LR-KNN-MLP

15.04

225.5

\(<0\).0001

RF-KNN-MLP

Hybrid LR-KNN-MLP

8.72

76.03

\(<0\).0001

LR-KNN-MLP

Hybrid LR-KNN-MLP

11.02

121.44

\(<0\).0001