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Marloes
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In the following model specification, which is a random intercept 2-level logistic regression:

enter image description here

Would two lower level units ($i$) with the same value of $x_{1ij}$ and within the same higher level unit ($j$) but with different values for $y_{ij}$ have the same estimatedpredicted $\pi_{ij}$?

In the following model specification, which is a random intercept 2-level logistic regression:

enter image description here

Would two lower level units ($i$) with the same value of $x_{1ij}$ and within the same higher level unit ($j$) but with different values for $y_{ij}$ have the same estimated $\pi_{ij}$?

In the following model specification, which is a random intercept 2-level logistic regression:

enter image description here

Would two lower level units ($i$) with the same value of $x_{1ij}$ and within the same higher level unit ($j$) but with different values for $y_{ij}$ have the same predicted $\pi_{ij}$?

Source Link
Marloes
Marloes
  • 790
  • 6
  • 21

Interpretation of probabilities from a mixed-model logistic regression

In the following model specification, which is a random intercept 2-level logistic regression:

enter image description here

Would two lower level units ($i$) with the same value of $x_{1ij}$ and within the same higher level unit ($j$) but with different values for $y_{ij}$ have the same estimated $\pi_{ij}$?