Question

In: Math

Evaluate the following IVs’ exclusion restriction. Come up with an example for each when the exclusion...

Evaluate the following IVs’ exclusion restriction. Come up with an example for each when the exclusion restriction is violated.

a. Impact of sexually transmitted disease prevalence on risky sex behaviors. Instrument: distance from your home to the origin of the AIDS virus

b. Impact of eating breakfast on infant health. Instrument: having a long work commute

c. Impact of adult depression on wages. Instrument: depression measured as a teenager

d. Impact of being a female science professor on whether women major in science. Instrument: The fraction of female instructors who teach in a particular semester.

Solutions

Expert Solution

Answer:

  • At the point when effect of X on Y is estimated, at that point Instrument Variable 'Z' ought not cause Y but rather ought to be connected with X as it were.

How about we check it.

a). Impact of sexually transmitted disease prevalence on risky sex behaviors. Instrument: distance from your home to the origin of the AIDS virus:

  • Y = Risky sex conduct. Z = Distance of home from starting point of AIDS infection.
  • Since there is some connection among's Y and Z, we can state that fall in Z is making Y increment and avoidance confinement is disregarded.

b). Impact of eating breakfast on infant health. Instrument: having a long work commute:

  • Y = Infant wellbeing. Z = Having a long work drive.
  • Since there is an extremely feeble relationship among's Y and Z, we can state that Z isn't causing any impact on Y and prohibition confinement isn't abused.

c). Impact of adult depression on wages. Instrument: depression measured as a teenager:

  • Y = Wages. Z = Depression estimated as an adolescent.
  • Since there is a connection among's Y and Z, we can state that ascent Z can make Y fall because of terrible effect on instruction and here prohibition limitation is damaged.

d).Impact of being a female science professor on whether women major in science. Instrument: The fraction of female instructors who teach in a particular semester:

  • Y = Whether ladies major in science. Z = Fraction of female educators who instruct in a specific semester.
  • Since there is no reason that Z causes Y, we can state that avoidance confinement isn't abused.

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