Table 1 Details of the test of RM-ANOVA and post-hoc analysis of mortality-related health indicators of 10–90% imputed and complete datasets

Adolescent mortality rate (AMR)

Mauchly’s test:

Chi-square (χ²): 10,160.808, p value: < 0.001

RM-ANOVA:

F (df_group, df_error):

^bF (2.059, 1027.546) = 4.864, p value = 0.007

0%

89.02 ± 72.12

10.61–304.13

10%

89.05 ± 72.01

10.61–304.13

− 0.025

− 0.22

1

20%

89.08 ± 72.15

10.61–297.19

− 0.056

− 0.324

1

30%

89.95 ± 71.84

10.61–297.19

− 0.922

− 2.002

0.238

40%

88.48 ± 71.86

10.61–297.19

0.543

− 0.189

0.69

50%

86.97 ± 70.43

12.12–297.19

2.056

− 0.07

0.073

60%

88.14 ± 71.71

10.61–297.19

0.886

− 0.654

1

70%

88.14 ± 63.9

11.64–286.47

0.887

− 4.011

1

80%

95.17 ± 59.7

12.12–291.87

− 6.149

− 12.139

0.037^a

90%

84.68 ± 20.69

12.51–286.47

4.341

− 5.791

1

Under-five mortality rate (UMR)

Mauchly’s test:

Chi-square (χ²): 9940.261, p value: < 0.001

RM-ANOVA:

F (df_group, df_error):

^bF (2.531, 1263.192) = 19.551, p < 0.007

0%

35.29 ± 32.29

2–140.19

10%

35.31 ± 32.29

2–140.19

− 0.015

− 0.085

1

20%

35.35 ± 32.38

2–140.19

− 0.059

− 0.211

1

30%

35.31 ± 32.41

2–140.19

− 0.018

− 0.215

1

40%

35.39 ± 31.96

2–124.92

− 0.101

− 0.506

1

50%

34.68 ± 31.75

2–128.68

0.614

− 0.206

0.646

60%

34.06 ± 29.89

2.07–124.92

1.229

− 0.505

0.923

70%

34.31 ± 29.23

2–140.19

0.986

− 1.14

1

80%

33.3 ± 26.03

2.21–124.92

1.994

− 0.899

1

90%

27.87 ± 16.35

2.44–106.62

7.424

3.406

 < 0.001^a

Infant mortality rate (IMR)

Mauchly’s test:

Chi-square (χ²): 9723.733, p value: < 0.001

RM-ANOVA:

F (df_group, df_error):

^bF (3.141, 1567.604) = 6.818, p < 0.001

0%

26.21 ± 21.93

1.59–95.12

10%

26.21 ± 21.92

1.59–95.12

0

− 0.056

1

20%

26.22 ± 21.89

1.59–95.12

− 0.005

− 0.103

1

30%

26.19 ± 21.91

1.59–89.73

0.016

− 0.072

1

40%

26.39 ± 21.77

1.65–89.73

− 0.175

− 0.506

1

50%

26.32 ± 21.69

1.59–89.73

− 0.108

− 0.648

1

60%

24.12 ± 19.37

1.7–87.25

2.095

0.611

 < 0.001^a

70%

25.97 ± 19.5

1.82–85.63

0.245

− 1.216

1

80%

24.55 ± 17.21

1.76–87.93

1.665

− 0.331

0.29

90%

27.23 ± 14.09

2.06–87.25

− 1.023

− 3.497

1

Neonatal mortality rate (NMR)

Mauchly’s test:

Chi-square (χ²): 10,364.271, p value: < 0.001

RM-ANOVA:

F (df_group, df_error):

^bF (2.248, 1121.978) = 3.577, p = 0.024

0%

15.56 ± 11.7

0.85–45.25

10%

15.55 ± 11.71

0.85–45.25

0.01

− 0.009

1

20%

15.56 ± 11.72

0.85–45.25

0

− 0.032

1

30%

15.55 ± 11.71

0.86–45.25

0.008

− 0.058

1

40%

15.27 ± 11.47

0.85–45.25

0.287

− 0.065

0.344

50%

15.3 ± 11.26

0.87–45.09

0.264

− 0.201

1

60%

15.09 ± 11.37

0.85–45.25

0.468

− 0.001

0.051

70%

15.94 ± 11.07

0.87–45.09

− 0.382

− 0.995

1

80%

14.57 ± 8.93

0.99–40.46

0.994

− 0.124

0.167

90%

15.05 ± 4.24

0.85–45.07

0.513

− 1.117

1

Stillbirth rate (SBR)

Mauchly’s test:

Chi-square (χ²): 12,384.048, p value: < 0.001

RM-ANOVA:

F (df_group, df_error):

^bF (2.485, 1239.783) = 3.459, p = 0.023

0%

12.7 ± 8.68

1.52–34.5

10%

12.7 ± 8.68

1.52–34.5

0.002

− 0.015

1

20%

12.69 ± 8.67

1.56–34.5

0.003

− 0.016

1

30%

12.68 ± 8.66

1.52–34.5

0.014

− 0.013

1

40%

12.69 ± 8.68

1.52–34.5

0.007

− 0.036

1

50%

12.83 ± 8.63

1.71–34.5

− 0.131

− 0.294

0.376

60%

12.48 ± 8.22

1.52–32.7

0.214

− 0.209

1

70%

11.95 ± 7.57

1.56–31.47

0.745

0.106

0.007^a

80%

12.78 ± 7.1

1.7–34.5

− 0.08

− 0.828

1

90%

12.51 ± 5.24

1.79–31.47

0.132

− 0.828

1