Table 12 Rosenbaum bounding analysis for sensitivity test.

From: Preschool education and non-cognitive skills: evidence from rural China’s junior high students

Gamma

sig+

sig−

t-hat+

t-hat−

CI+

CI−

1

0

0

1

1

1

1

1.1

0

0

1

1

1

1

1.2

0

0

1

1

1

1

1.3

0

0

1

1

1

1

1.4

0

0

0.5

1

0.5

1

1.5

0

0

0.5

1

0.5

1

1.6

0

0

0.5

1

0.5

1

1.7

0

0

0.5

1

0.5

1

1.8

0

0

0.5

1

0.5

1

1.9

0

0

0.5

1

0.5

1

2

0

0

0.5

1

0.5

1

  1. Gamma:log odds of differential assignment due to unobserved factors.
  2. sig+ :upper bound significance level.
  3. sig− :lower bound significance level.
  4. t-hat+ :upper bound Hodges-Lehmann point estimate.
  5. t-hat- :lower bound Hodges-Lehmann point estimate.
  6. CI+ :upper bound confidence interval (a = 0.95).
  7. CI− :lower bound confidence interval (a = 0.95).
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