The three-dimensional contin- gency table shown is from a study of the effects o

Question

The three-dimensional contin- gency table shown is from a study of the effects of racial characteristics on whether or not individuals convicted of homicide receive the death penalty. The subjects classified were defendants in indictments involving cases with mul- tiple murders in Florida between 1976 and 1987.  

Let y = death penalty verdict (1 = yes, 0 = no), let d be an indicator variable for defendant’s race (1 = white, 0 = black), and let v be an indicator vari- able for victims’ race (1 = white, 0 = black). The logistic regression prediction equation is

According to this equation, for which of the four groups is the death penalty most likely? Explain your answer.

Defendants Race Victimes Race Death Penalty Yes Death Penalty No Percent Yes White White 53 414 11.3 Black 0 16 0.0 Black White 11 37 22.9 Black 4 139 2.8 phat = e -3.596–0.86d+2.404v /1 + e(-3.596-0.868d +2404w)

Explanation / Answer

as coefficient of d is negative i can say that blacks defendant’s race have .868 times more odds of deadth penalty as compared to white defendant’s race.

as coefficient of v is positive i can say that white victims’ race have 2.40 times more odds of deadth penalty as compared to white victims’ race.

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