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Table 9 Quality of matching for the impact of health facility delivery on neonatal mortality

From: Impact of health facility delivery and antenatal care on neonatal mortality in Sub-Saharan Africa: a propensity score matching analysis

Gamma (Γ)

Test statistics

Significance level

Over-estimation (Q_mh +)

Under-estimation (Q_mh-)

Over-estimation (p_mh +)

Under-estimation (p_mh-)

1

2.65755

2.65755

0.003936

0.003936

1.05

4.25267

1.06391

 < 0.05

 < 0.05

1.1

5.77572

0.424407

 < 0.05

 < 0.05

1.15

7.23372

1.87599

 < 0.05

 < 0.05

1.2

8.63274

3.26657

 < 0.05

 < 0.05

1.25

9.97802

4.60165

 < 0.05

 < 0.05

1.3

11.2741

5.88602

 < 0.05

 < 0.05

1.35

12.5251

7.12388

 < 0.05

 < 0.05

1.4

13.7344

8.31892

 < 0.05

 < 0.05

1.45

14.9053

9.47443

 < 0.05

 < 0.05

1.5

16.0405

10.5933

 < 0.05

0.120372

1.55

17.1425

11.6782

 < 0.05

0.24855

1.6

18.2136

12.7314

 < 0.05

0.42041

1.65

19.2558

13.755

 < 0.05

0.422274

1.7

20.2709

14.7509

 < 0.05

0.259298

1.75

21.2606

15.7209

 < 0.05

0.139616

1.8

22.2264

16.6665

 < 0.05

0.065971

1.85

23.1697

17.5892

 < 0.05

 < 0.05

1.9

24.0917

18.4902

 < 0.05

 < 0.05

1.95

24.9936

19.3707

 < 0.05

 < 0.05

2

25.8764

20.2319

 < 0.05

 < 0.05

  1. Gamma: odds of differential assignment due to unobserved factors
  2. Q_mh + : Mantel–Haenszel statistic (assumption: overestimation of treatment effect)
  3. Q_mh-: Mantel–Haenszel statistic (assumption: underestimation of treatment effect)
  4. p_mh + : significance level (assumption: overestimation of treatment effect)
  5. p_mh-: significance level (assumption: underestimation of treatment effect)