Slide 8
Slide 8 text
13.1 Standardization as an alternative to IP weighting
Standardizationの⽬的
変数Lで調整してMarginal effectを推定すること!
※変数Lで調整した場合にexchangeabilityとpositivityが成⽴していることを条件とする
全体の集団
男性のsubset
⼥性のsubset
禁煙する
禁煙しない
禁煙する
禁煙しない
40%
60%
E = 1 = 1, = 0, = 0] = E >?@,A?B = 1 = 0 =
1
4
E = 1 = 0, = 0, = 0] = E >?B,A?B = 1 = 0 =
1
4
E = 1 = 1, = 0, = 1] = E >?@,A?B = 1 = 1 =
2
3
E = 1 = 0, = 0, = 1] = E >?B,A?B = 1 = 1 =
2
3
E[>?@,A?B] = E >?@,A?B = 1 = 0 ∗ Pr = 0 + E >?@,A?B = 1 = 1 ∗ Pr = 1 =
1
4
∗ 0.4 +
2
3
∗ 0.6 = 0.5
E[>?B,A?B] = E >?B,A?B = 1 = 0 ∗ Pr = 0 + E >?B,A?B = 1 = 1 ∗ Pr = 1 =
1
4
∗ 0.4 +
2
3
∗ 0.6 = 0.5
O[PQRS,TRU]
O[PQRU,TRU]
= 1 ※禁煙することは体重増加に影響がない
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