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Model Deviance df p-value (Z,X,Y) 9.23 4 0.0556 (Z,XY) 6.98 3 0.0725 (X,ZY) 7.21 3 0.0655 (Y,ZX) 4.29 3 0.2318 (ZX,ZY) 4.63 2 0.0988 (ZX,XY)

Model Deviance df p-value
(Z,X,Y) 9.23 4 0.0556
(Z,XY) 6.98 3 0.0725
(X,ZY) 7.21 3 0.0655
(Y,ZX) 4.29 3 0.2318
(ZX,ZY) 4.63 2 0.0988
(ZX,XY) 5.98 2 0.0503
(ZY,XY) 3.35 2 0.1873
(ZX,ZY,XY) 1.65 1 0.199
(ZXY) 0 0

The table above preformed Likelihood Ratio Tests comparing each model to the saturated model (ZXY). Preform a Likelihood Ratio Test to determine which model fits the data better comparing model (Z,XY) to model (Z,X,Y), select the appropriate answer. Use an alpha of 0.05.

A. Model (Z,X,Y) fits the data poorly since the deviance indicates that the fit is not significantly different than model (Z,XY).

B. Model (Z,X,Y) is adequate since the deviance indicates that the fit is significantly better than model (Z,XY).

C. Model (Z,X,Y) is adequate since the deviance indicates that the fit is not significantly worse than model (Z,XY).

D. Model (Z,X,Y) fits the data poorly since the deviance indicates that the fit is significantly different than model (Z,XY).

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