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2. Consider data Y=(Y1,Y2,Y3), where the three variables are continuous. The variables Y1 and Y
3 are fully observed, while some values of Y2 are missing. Let R be the missingness indicator,
taking the value 1 for observed values and 0 for missing values. Because only one variable has
missing values, a single missingness indicator suffices. State whether the following mechanisms
are MCAR, MAR, or MNAR. (a) Pr(R=1Y1,Y2,Y3,)=1+e0+1Y1+2Y3e0+1Y1+2Y3. (b) Pr(R=1Y1,Y2
,Y3,)=0.2. (c) R=1 if Y1>y, for some known y. (d) Pr(R=1Y1,Y2,Y3,)=1+e0+1Y1+2Y2e0+1Y1+2Y2.

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2 Consider data YY1Y2Y3 where the three variables are.pdf

  • 1. 2. Consider data Y=(Y1,Y2,Y3), where the three variables are continuous. The variables Y1 and Y 3 are fully observed, while some values of Y2 are missing. Let R be the missingness indicator, taking the value 1 for observed values and 0 for missing values. Because only one variable has missing values, a single missingness indicator suffices. State whether the following mechanisms are MCAR, MAR, or MNAR. (a) Pr(R=1Y1,Y2,Y3,)=1+e0+1Y1+2Y3e0+1Y1+2Y3. (b) Pr(R=1Y1,Y2 ,Y3,)=0.2. (c) R=1 if Y1>y, for some known y. (d) Pr(R=1Y1,Y2,Y3,)=1+e0+1Y1+2Y2e0+1Y1+2Y2.