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Analysis of Regression Models and Interactions in Various Statistical Contexts

Study on the application of regression models and interaction effects.

Caleb Patterson
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Analysis of Regression Models and Interactions in Various Statistical Contexts5.24Expert testimony in homicide trials of battered women.Refer to the Duke Journal ofGender Law and Policy (Summer 2003) study of the impact of expert testimony on theoutcome of homicide trials involving battered woman syndrome, Exercise 5.3 (264).Recall that multipleregression was employed to model the likelihood of changing averdict from not guilty to guilty after deliberations, y, as function of juror gender (male orfemale) and expert testimony given (yes or no).a.Write a main efforts model for E(y) as a function of gender and expert testimony.Interpret the β coefficients in the model.The main efforts model for E(y) as a function of gender and expert testimony is()0112233E yxxx=+++Interpretation of model parameters011121231321which is mean of the combination of base levels, for any level B (1, 2), for any level B (1, 2), for any level F (1, 2,3)jjjjjjiiijji==−==−==−=Interaction Model with two qualitative independent variables, first one at threelevels F1,F2,F3 and second one at two levels B1,B2Then the equation is()01122334135231122334135231123The main effect term of F is&main effect term of B is,interaction term is,Dummy variables of x ,,are defined in the same way asEyxxxx xx xxxxx xx xxx and x=++++++for the main effects model.Now interpretation of model parameters

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