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Table 2 Autocorrelation and partial correlation of monthly malaria incidence, and the fitting and predictive residuals of the model

From: Spatiotemporal distribution of malaria and the association between its epidemic and climate factors in Hainan, China

Lag

Monthly malaria incidence

 

Fitting residual

 

Predictive residual

 

AC

PAC

LB

P

 

AC

PAC

LB

P

 

AC

PAC

LB

P

1

0.84

0.84

102.48

< 0.01

 

-0.06

-0.06

0.20

0.66

 

0.29

0.29

1.25

0.26

2

0.60

-0.33

155.20

< 0.01

 

-0.04

-0.05

0.31

0.86

 

-0.33

-0.45

3.12

0.21

3

0.30

-0.33

168.51

< 0.01

 

0.06

0.06

0.54

0.91

 

-0.13

0.18

3.45

0.33

4

0.03

-0.07

168.64

< 0.01

 

0.03

0.03

0.59

0.97

 

0.17

0.01

4.04

0.40

5

-0.19

-0.05

173.85

< 0.01

 

0.04

0.05

0.67

0.99

 

0.07

-0.03

4.17

0.53

6

-0.27

0.17

185.02

< 0.01

 

0.01

0.02

0.68

0.99

 

-0.02

0.09

4.18

0.65

7

-0.24

0.12

194.14

< 0.01

 

0.05

0.06

0.88

0.99

 

-0.17

-0.26

5.11

0.65

8

-0.11

0.15

196.02

< 0.01

 

-0.04

-0.04

0.98

0.99

 

-0.28

-0.18

8.47

0.39

9

0.09

0.18

197.33

< 0.01

 

0.07

0.07

1.32

0.99

 

-0.19

-0.16

10.47

0.31

10

0.32

0.20

213.76

< 0.01

 

-0.14

-0.14

2.62

0.99

 

0.06

-0.02

10.80

0.37

11

0.51

0.08

254.12

< 0.01

 

0.06

0.06

2.92

0.99

     

12

0.56

-0.18

303.34

< 0.01

 

-0.22

-0.25

6.51

0.89

     
  1. AC: autocorrelation coefficient. PAC: partial autocorrelation coefficient. LB: Ljung-Box Q Statistic. Lag: the number of lagged months. For the monthly malaria incidence, P < 0.05 indicates a strong autocorrelation of monthly malaria incidence. For the fitting and predictive residuals, P > 0.05 indicates that the model extracted the information sufficiently and had good prediction validity.