Eye contact effect. In a study of the effect of applicant's eye contact (factor A) and personnel officer's gender (factor B) on the personnel officer's assessment of likely job success of applicant, 10 male and 10 female personnel officers were shown a front view photograph of an applicant's face and were asked to give the person in the photograph a success rating on a scale of 0 (total failure) to 20 (outstanding success). Half of the officers in each gender group were chosen at random to receive a version of the photograph in which the applicant made eye contact with the camera lens. The other half received a version in which there was no eye contact. The success ratings follow. Factor B (gender of officer) Factor A j=1 j=2 (eye contact) Male Female =1 Present 11 15 7 12 10 16 i=2 Absent 12 14 16 17 ... 14 18 22.17. Refer to Eye contact effect Problem 19.12. Age of personnel officer is to be used as a con- comitant variable. The ages (Xijk) of the personnel officers follow. i=1 i=2 j=1 j = 2 j j: = 2 42 51 43 30 35 53 42 47 Y ... 35 49 49 56 Refer to Eye contact effect Problems 19.12 and 22.17 of KNNL and answer the following questions: (a) State the regression model equivalent to covariance model (22.26). You may use indicator variables that are adopted in your R code (not necessarily in the form of 1, -1, and 0). (b) State the reduced regression models for testing for interaction. Fit the reduced regression model. Yijk = .. +; +; + ()ij + y (Xijk ..) + ijk i = 1, ..., a; j = 1. . . ., b; k = I, ..., n (22.26)