/* coke.def coke pr_pepsi pr_coke disp_pepsi disp_coke pratio Obs: 1140 individuals coke =1 if coke chosen, =0 if pepsi chosen pr_pepsi price of 2 liter bottle of pepsi pr_coke price of 2 liter bottle of coke disp_pepsi = 1 if pepsi is displayed at time of purchase, otherwise = 0 disp_coke = 1 if coke is displayed at time of purchase, otherwise = 0 pratio price coke relative to price pepsi Variable | Obs Mean Std. Dev. Min Max -------------+-------------------------------------------------------- coke | 1140 .4473684 .4974404 0 1 pr_pepsi | 1140 1.202719 .3007257 .68 1.79 pr_coke | 1140 1.190088 .2999157 .68 1.79 disp_pepsi | 1140 .3640351 .4813697 0 1 disp_coke | 1140 .3789474 .4853379 0 1 -------------+-------------------------------------------------------- pratio | 1140 1.027249 .286608 .497207 2.324675 Source: ERIM public data base, James M. Kilts Center, University of Chicago Booth School of Business */ data marketing_coke; input coke pr_pepsi pr_coke disp_pepsi disp_coke pratio; datalines; 1 1.79 1.79 0 0 1 1 1.79 0.89 0 1 0.497207 1 1.41 0.89 0 0 0.631206 1 1.79 1.33 0 0 0.743017 1 1.79 1.79 0 0 1 1 0.99 1.79 1 0 1.808081 1 0.77 1.79 1 0 2.324675 1 1.33 1.79 1 0 1.345865 1 1.79 0.99 0 0 0.553073 1 1.79 1.29 0 0 0.72067 1 0.99 1.79 1 0 1.808081 1 0.99 1.79 1 0 1.808081 0 0.99 1.79 1 0 1.808081 0 1.79 1.33 0 0 0.743017 1 1.79 1.33 0 0 0.743017 1 1.79 1.79 0 0 1 0 0.99 0.99 1 1 1 0 1.79 1.79 0 0 1 0 1.33 1.79 1 0 1.345865 0 1.79 1.79 0 0 1 0 1.33 1.79 1 0 1.345865 1 1.79 0.89 0 1 0.497207 0 1.19 1.79 1 0 1.504202 0 1.19 1.79 1 0 1.504202 1 1.79 1.33 0 1 0.743017 1 1.33 1.79 0 0 1.345865 0 1.33 1.79 0 0 1.345865 0 1.41 0.89 0 0 0.631206 1 1.41 0.89 0 0 0.631206 1 1.79 1.54 0 0 0.860335 1 1.52 1.33 0 0 0.875 0 0.89 0.89 1 1 1 0 0.89 0.89 1 1 1 0 0.98 0.89 0 1 0.908163 0 0.98 0.89 0 1 0.908163 1 0.98 0.89 0 1 0.908163 0 1.19 1.02 1 1 0.857143 0 1.35 1.53 0 0 1.133333 0 0.89 0.89 1 1 1 0 1.05 1.04 1 0 0.990476 0 1.05 1.04 1 0 0.990476 0 1.33 1.56 0 0 1.172932 0 1.56 0.99 0 1 0.634615 0 0.99 0.99 1 1 1 0 1.09 0.99 0 1 0.908257 0 1.52 1.33 0 0 0.875 0 1.48 1.79 0 0 1.209459 1 1.48 1.79 0 0 1.209459 0 1.33 1.79 0 0 1.345865 0 1.57 1.33 0 1 0.847134 0 0.69 0.69 1 1 1 0 0.69 0.69 1 1 1 0 0.99 1.19 1 0 1.20202 0 1.19 1.33 0 1 1.117647 0 1.19 1.33 0 1 1.117647 0 1.33 1.53 0 0 1.150376 0 1.33 1.79 1 0 1.345865 0 1.33 1.79 1 0 1.345865 0 0.99 1.5 1 0 1.515152 0 0.99 1.5 1 0 1.515152 0 1.12 1.79 0 0 1.598214 0 0.99 0.99 0 0 1 0 0.99 0.99 0 0 1 0 1.17 1.22 0 0 1.042735 0 1.17 1.22 0 0 1.042735 0 1.33 1.79 1 1 1.345865 0 1.33 1.79 1 1 1.345865 0 1.52 1.79 0 0 1.177632 0 0.99 0.99 1 1 1 0 0.99 0.99 1 1 1 0 0.99 0.99 1 1 1 0 1.17 1.17 1 0 1 0 1.17 1.17 1 0 1 0 1.17 1.17 1 0 1 0 0.99 1.53 1 0 1.545455 0 1.09 1.33 0 1 1.220183 0 1.33 1.79 1 0 1.345865 0 1.51 1.33 0 1 0.880795 0 1.33 1.49 0 0 1.120301 0 1.33 1.5 0 1 1.12782 0 1.33 1.5 0 1 1.12782 0 1.35 1.79 0 0 1.325926 0 1.48 1.29 0 0 0.871622 1 1.29 1.79 0 0 1.387597 0 0.99 0.99 1 1 1 0 0.99 0.99 1 1 1 0 0.99 0.99 1 1 1 0 1.05 1.09 0 0 1.038095 0 1.29 1.49 1 0 1.155039 0 1.29 1.49 1 0 1.155039 0 0.79 0.79 1 1 1 0 0.99 0.99 0 0 1 0 0.99 0.99 0 0 1 0 1.36 1.38 0 0 1.014706 0 1.29 1.41 1 0 1.093023 0 1.36 1.29 0 1 0.948529 0 0.99 1.42 1 0 1.434343 0 0.99 1.42 1 0 1.434343 0 0.99 1.42 1 0 1.434343 0 1.05 1.33 0 1 1.266667 0 1.05 1.33 0 1 1.266667 0 0.89 0.89 1 1 1 0 0.89 0.89 1 1 1 0 0.89 0.89 1 1 1 0 1.79 1.33 0 0 0.743017 0 1.79 0.89 0 1 0.497207 0 1.79 1.33 0 1 0.743017 0 1.41 0.89 0 0 0.631206 0 1.19 1.04 0 0 0.87395 0 1.19 1.02 1 1 0.857143 0 1.35 1.53 0 0 1.133333 0 1.05 1.04 1 0 0.990476 0 0.99 0.99 1 1 1 0 1.33 1.53 0 0 1.150376 0 0.99 1.5 1 0 1.515152 0 0.99 0.99 0 0 1 0 1.17 1.22 0 0 1.042735 0 0.99 0.99 1 1 1 0 1.79 1.79 1 0 1 0 1.37 1.09 0 1 0.79562 0 0.79 0.79 1 1 1 0 0.99 1.42 1 0 1.434343 0 1.05 1.33 0 1 1.266667 1 1.19 1.39 0 0 1.168067 0 0.98 0.98 0 0 1 0 0.78 0.78 1 1 1 0 0.68 0.68 1 1 1 0 1.39 1.39 0 0 1 0 1.39 1.39 1 0 1 0 1.39 1.39 0 0 1 0 0.88 0.88 1 1 1 0 0.88 0.88 1 1 1 0 0.98 1.39 0 0 1.418367 0 0.98 0.98 1 1 1 0 1.38 1.38 0 0 1 0 0.88 1.19 1 0 1.352273 0 0.99 0.99 0 0 1 0 1.29 1.39 0 0 1.077519 0 1.39 0.99 0 0 0.71223 1 1.29 1.39 0 0 1.077519 1 1.39 0.99 0 0 0.71223 0 0.78 1.39 1 0 1.782051 0 0.88 1.39 1 0 1.579545 0 0.88 1.39 1 0 1.579545 1 1.39 0.98 0 1 0.705036 1 0.88 0.88 0 1 1 0 1.39 0.98 0 1 0.705036 0 0.98 1.39 1 0 1.418367 1 0.68 0.68 1 1 1 1 1.19 1.39 0 0 1.168067 0 1.19 1.39 0 0 1.168067 0 1.39 1.19 1 0 0.856115 1 1.39 0.98 0 1 0.705036 1 1.29 0.88 0 0 0.682171 1 1.39 0.88 0 1 0.633094 1 1.39 1.19 0 0 0.856115 0 0.88 0.88 1 1 1 0 0.98 1.39 0 0 1.418367 0 1.39 1.39 0 0 1 0 0.88 1.39 1 0 1.579545 0 0.88 0.88 1 1 1 1 1.35 0.78 0 1 0.577778 1 1.38 1.02 0 0 0.73913 1 0.78 0.78 1 1 1 1 0.78 0.78 1 1 1 1 1.38 1.38 0 0 1 1 1.38 1.38 0 0 1 0 0.88 0.88 0 0 1 0 0.88 0.88 0 0 1 1 1.19 1.39 0 0 1.168067 1 1.39 1.19 0 0 0.856115 1 1.39 1.19 0 0 0.856115 1 1.39 1.19 0 0 0.856115 1 1.29 0.88 0 0 0.682171 1 1.39 0.88 0 1 0.633094 0 0.98 1.39 0 0 1.418367 1 1.39 0.98 0 1 0.705036 1 1.29 1.39 0 0 1.077519 1 1.39 0.99 0 1 0.71223 1 1.39 0.99 0 0 0.71223 1 1.29 1.39 1 0 1.077519 1 1.39 1.09 0 1 0.784173 1 0.99 1.39 1 0 1.40404 1 1.19 0.88 0 1 0.739496 0 0.88 0.88 1 1 1 0 1.39 1.19 1 0 0.856115 1 1.39 0.88 0 1 0.633094 0 0.78 0.78 1 1 1 1 0.89 0.78 0 1 0.876405 1 1.39 1.39 0 0 1 1 1.39 1.39 0 0 1 0 0.88 0.88 1 1 1 0 1.38 1.39 0 0 1.007246 1 1.39 0.98 0 1 0.705036 1 1.39 0.98 0 1 0.705036 0 1.39 1.39 0 0 1 1 1.39 0.99 0 1 0.71223 0 0.98 1.39 0 0 1.418367 1 1.39 0.88 0 0 0.633094 1 1.19 0.88 0 1 0.739496 0 0.78 0.78 1 1 1 1 1.39 0.88 0 0 0.633094 1 0.88 0.88 0 1 1 0 0.78 1.39 1 0 1.782051 1 1.39 0.98 0 1 0.705036 1 1.09 1.39 0 0 1.275229 0 0.88 1.39 1 0 1.579545 0 0.92 0.95 1 1 1.032609 0 0.78 0.78 1 1 1 0 0.88 0.88 1 1 1 1 0.88 0.88 1 1 1 0 0.98 1.39 1 0 1.418367 1 0.98 0.98 1 1 1 0 0.98 1.39 1 0 1.418367 0 1.09 1.39 1 0 1.275229 0 0.78 0.78 1 1 1 1 0.78 0.78 1 1 1 0 0.68 0.68 1 1 1 0 0.68 0.68 1 1 1 0 0.88 1.39 1 0 1.579545 1 1.39 0.88 0 1 0.633094 1 0.89 0.78 0 1 0.876405 1 1.39 0.88 0 1 0.633094 0 0.78 1.39 1 0 1.782051 0 0.88 1.39 0 0 1.579545 1 1.39 0.88 0 0 0.633094 1 1.39 0.88 0 1 0.633094 1 1.39 0.98 0 1 0.705036 1 1.35 0.78 0 1 0.577778 1 1.38 1.02 0 0 0.73913 1 0.78 0.78 1 1 1 1 1.38 1.38 0 0 1 1 0.68 0.68 1 1 1 1 1.39 1.39 0 0 1 1 1.29 1.39 0 0 1.077519 1 1.39 1.38 0 0 0.992806 0 1.39 1.39 0 0 1 1 1.29 1.39 0 0 1.077519 1 1.19 1.39 0 0 1.168067 0 0.98 1.39 0 0 1.418367 0 0.78 1.39 1 0 1.782051 1 1.35 0.78 0 1 0.577778 1 1.19 0.88 0 1 0.739496 1 1.19 1.39 0 0 1.168067 1 1.29 1.29 0 0 1 1 1.29 1.29 0 0 1 1 1.19 0.88 0 1 0.739496 1 1.39 0.99 0 0 0.71223 0 0.88 0.88 0 0 1 1 1.19 1.19 0 0 1 1 1.39 0.99 0 0 0.71223 0 0.98 1.39 1 0 1.418367 0 1.19 1.19 0 0 1 0 1.39 0.98 0 1 0.705036 0 1.39 0.98 0 0 0.705036 0 0.98 1.39 1 0 1.418367 0 0.88 0.88 1 1 1 1 1.35 0.78 0 1 0.577778 1 1.39 0.98 0 1 0.705036 0 0.68 0.68 1 1 1 0 1.09 1.39 1 0 1.275229 0 1.19 1.39 0 0 1.168067 0 0.98 1.39 1 0 1.418367 0 1.39 1.39 0 0 1 0 1.39 0.98 0 1 0.705036 0 1.38 1.39 0 0 1.007246 0 0.98 1.39 1 0 1.418367 0 0.98 0.98 1 1 1 0 1.39 1.19 0 0 0.856115 0 1.39 0.99 0 1 0.71223 0 1.38 1.39 0 0 1.007246 0 1.39 1.39 0 0 1 0 0.68 0.68 1 1 1 0 0.88 0.88 0 0 1 0 0.88 1.39 1 0 1.579545 0 1.38 1.39 0 0 1.007246 0 1.19 1.39 0 0 1.168067 0 1.39 1.39 0 0 1 0 1.39 0.88 0 0 0.633094 0 0.78 0.78 1 1 1 0 1.39 1.39 0 0 1 0 0.88 0.88 1 1 1 0 0.99 0.99 0 0 1 0 1.19 1.19 0 0 1 0 0.88 0.78 1 0 0.886364 0 1.52 1.33 0 0 0.875 1 1.33 1.79 0 0 1.345865 0 1.39 1.19 0 0 0.856115 0 1.19 1.39 1 0 1.168067 0 1.39 1.29 0 0 0.928058 0 1.29 1.39 0 0 1.077519 0 1.39 1.09 0 0 0.784173 0 0.78 0.78 1 1 1 0 1.38 1.38 0 0 1 1 1.39 0.88 0 0 0.633094 0 0.78 1.39 1 0 1.782051 0 1.39 0.99 0 0 0.71223 1 1.29 1.39 1 0 1.077519 1 1.39 0.98 0 1 0.705036 0 1.39 1.19 0 0 0.856115 0 1.39 1.19 0 0 0.856115 0 1.19 1.39 0 0 1.168067 0 1.19 1.39 0 0 1.168067 0 1.19 1.39 0 0 1.168067 0 1.19 1.39 1 0 1.168067 0 1.19 0.88 0 1 0.739496 0 1.39 1.19 0 0 0.856115 0 1.39 1.19 0 0 0.856115 0 1.19 1.19 0 0 1 0 1.39 1.19 0 0 0.856115 0 1.39 1.19 0 0 0.856115 0 1.39 1.19 0 0 0.856115 0 1.29 1.39 0 0 1.077519 0 1.29 1.39 0 0 1.077519 0 1.29 1.39 0 0 1.077519 0 1.29 1.39 0 0 1.077519 0 1.29 1.39 0 0 1.077519 0 1.39 1.29 0 0 0.928058 0 1.39 0.99 0 0 0.71223 0 1.39 1.29 0 0 0.928058 0 1.39 0.98 0 0 0.705036 0 1.39 1.29 0 0 0.928058 0 1.29 1.39 0 0 1.077519 0 1.29 0.88 0 0 0.682171 0 0.88 0.88 1 1 1 0 1.39 0.98 0 0 0.705036 0 1.39 1.29 0 0 0.928058 0 1.39 0.98 0 1 0.705036 0 1.39 1.29 0 0 0.928058 0 1.39 0.99 0 0 0.71223 0 1.39 1.09 0 1 0.784173 0 0.99 0.99 1 1 1 0 1.52 1.33 0 0 0.875 1 1.19 0.88 0 1 0.739496 1 1.39 0.98 0 0 0.705036 1 1.39 1.09 0 0 0.784173 1 0.88 0.88 0 1 1 1 1.39 0.88 0 1 0.633094 1 0.88 0.88 1 1 1 0 1.79 1.33 0 0 0.743017 1 1.79 0.89 0 1 0.497207 1 1.79 0.89 0 1 0.497207 1 1.79 0.89 0 1 0.497207 1 1.79 0.89 0 1 0.497207 1 1.79 0.99 0 0 0.553073 1 1.19 1.04 0 0 0.87395 0 0.89 1.33 1 1 1.494382 0 0.89 1.33 1 1 1.494382 1 1.52 1.33 0 0 0.875 1 1.52 1.33 0 0 0.875 1 0.89 0.89 1 1 1 1 0.89 0.89 1 1 1 0 0.89 0.89 1 1 1 0 0.98 0.89 0 1 0.908163 1 0.98 0.89 0 1 0.908163 0 0.89 0.89 1 1 1 0 1.05 1.04 1 0 0.990476 0 1.65 1.19 0 0 0.721212 1 1.79 1.11 0 0 0.620112 0 0.99 0.99 1 1 1 0 1.09 0.99 0 1 0.908257 0 0.69 0.69 1 1 1 0 0.69 0.69 1 1 1 0 0.99 1.19 1 0 1.20202 0 1.12 1.79 0 0 1.598214 0 0.99 0.99 0 0 1 0 0.99 0.99 1 1 1 0 1.17 1.17 1 0 1 0 1.17 1.17 1 0 1 0 0.99 1.53 1 0 1.545455 0 1.09 1.33 0 1 1.220183 0 1.09 1.33 0 1 1.220183 0 1.79 1.79 1 0 1 0 0.79 0.79 1 1 1 0 0.79 0.79 1 1 1 0 0.88 0.88 1 1 1 0 0.78 1.39 1 0 1.782051 0 0.98 1.39 0 0 1.418367 0 0.78 0.78 1 1 1 0 0.88 1.39 1 0 1.579545 1 1.19 0.88 0 1 0.739496 0 1.52 1.33 0 0 0.875 0 1.29 1.49 1 0 1.155039 1 1.29 1.39 0 0 1.077519 1 1.39 0.98 0 0 0.705036 1 1.39 0.98 0 1 0.705036 1 0.78 1.39 1 0 1.782051 1 1.29 1.39 0 0 1.077519 1 1.39 1.29 0 0 0.928058 0 1.39 1.19 0 0 0.856115 0 1.39 1.39 0 0 1 0 0.88 0.88 1 1 1 0 1.38 1.39 0 0 1.007246 0 0.98 1.39 1 0 1.418367 0 1.39 1.38 0 0 0.992806 0 1.39 1.38 0 0 0.992806 0 1.39 1.19 0 0 0.856115 0 0.98 1.39 0 0 1.418367 0 1.39 1.39 0 0 1 0 1.39 1.39 0 0 1 0 1.33 1.34 0 0 1.007519 0 0.98 1.39 1 0 1.418367 0 1.39 1.39 0 0 1 0 1.19 1.39 0 0 1.168067 0 1.39 1.19 0 0 0.856115 1 1.38 1.39 0 0 1.007246 0 0.98 1.39 0 0 1.418367 0 1.09 1.21 0 0 1.110092 0 0.78 0.78 1 1 1 0 1.38 1.38 0 0 1 0 0.68 0.68 1 1 1 0 0.68 0.68 1 1 1 0 0.88 0.88 0 0 1 0 0.88 1.39 1 0 1.579545 0 1.19 1.39 0 0 1.168067 0 1.39 1.39 0 0 1 1 1.39 0.88 0 0 0.633094 0 1.39 1.39 0 0 1 0 1.39 1.39 1 0 1 0 1.19 1.19 0 0 1 0 1.19 1.39 0 0 1.168067 0 1.29 1.39 0 0 1.077519 0 1.29 1.29 0 0 1 0 0.88 1.39 1 0 1.579545 0 0.92 0.95 1 1 1.032609 0 0.88 0.88 1 1 1 0 1.39 1.38 0 0 0.992806 0 1.39 1.19 0 1 0.856115 0 0.88 1.19 1 0 1.352273 0 0.88 1.39 0 0 1.579545 0 1.29 1.49 1 0 1.155039 0 0.89 0.89 1 1 1 0 0.98 1.39 1 0 1.418367 1 0.68 0.68 1 1 1 1 1.38 1.39 0 0 1.007246 1 1.39 1.39 0 0 1 1 1.39 0.88 0 1 0.633094 1 1.19 1.39 0 0 1.168067 1 1.19 1.39 0 0 1.168067 1 1.39 0.88 0 1 0.633094 0 0.88 1.39 0 0 1.579545 0 0.98 0.98 1 1 1 0 0.88 0.88 0 1 1 1 1.39 1.39 0 0 1 1 0.98 1.39 1 0 1.418367 1 1.33 1.34 0 0 1.007519 1 1.39 1.39 0 0 1 1 1.39 1.39 0 0 1 1 1.39 1.19 0 0 0.856115 1 1.19 1.39 0 0 1.168067 1 0.88 0.88 1 1 1 1 1.18 1.39 0 0 1.177966 0 0.98 0.98 0 0 1 1 1.38 1.02 0 0 0.73913 0 0.78 0.78 1 1 1 1 0.78 0.78 1 1 1 1 1.38 1.38 0 0 1 1 0.68 0.68 1 1 1 0 0.68 0.68 1 1 1 1 0.89 0.78 0 1 0.876405 0 0.88 1.39 0 0 1.579545 0 0.88 1.39 1 0 1.579545 0 0.88 0.88 1 1 1 0 0.88 0.88 1 1 1 1 1.39 0.88 0 0 0.633094 0 0.88 1.19 1 0 1.352273 1 1.39 1.39 0 0 1 1 1.39 0.98 0 1 0.705036 1 0.68 0.68 1 1 1 1 0.68 0.68 1 1 1 1 1.39 0.88 0 1 0.633094 0 1.38 1.39 0 0 1.007246 0 0.98 1.39 0 0 1.418367 0 1.39 1.19 1 0 0.856115 0 1.39 1.39 0 0 1 0 0.98 1.19 0 0 1.214286 0 0.78 0.78 1 1 1 0 1.39 1.39 0 0 1 0 0.68 0.68 1 1 1 0 0.68 0.68 1 1 1 0 0.68 0.68 1 1 1 0 0.88 1.39 1 0 1.579545 0 0.89 0.78 0 1 0.876405 0 0.78 1.39 1 0 1.782051 0 0.88 0.88 0 1 1 0 0.88 1.39 1 0 1.579545 0 0.88 1.39 0 0 1.579545 0 0.88 1.39 0 0 1.579545 1 1.19 1.39 0 0 1.168067 1 1.39 1.19 0 0 0.856115 1 1.39 1.29 0 0 0.928058 1 1.39 0.98 0 1 0.705036 0 1.39 0.98 0 0 0.705036 1 1.29 1.39 0 0 1.077519 1 1.39 0.99 0 0 0.71223 1 1.29 1.39 1 0 1.077519 0 0.78 0.78 1 1 1 0 0.78 1.39 1 0 1.782051 0 0.88 1.39 0 0 1.579545 1 1.39 0.98 0 1 0.705036 0 0.98 1.19 0 0 1.214286 0 0.68 0.68 1 1 1 0 0.68 0.68 1 1 1 0 0.68 0.68 1 1 1 0 1.39 0.88 0 1 0.633094 0 0.92 0.95 1 1 1.032609 1 0.68 0.68 1 1 1 1 1.39 1.19 0 0 0.856115 0 0.98 1.39 1 0 1.418367 0 1.19 1.19 0 0 1 0 1.39 1.38 0 0 0.992806 1 0.98 1.39 1 0 1.418367 0 0.78 0.78 1 1 1 1 1.39 1.19 0 0 0.856115 1 1.19 1.39 0 0 1.168067 1 1.39 0.88 0 0 0.633094 1 0.88 0.88 0 1 1 1 1.29 0.88 0 0 0.682171 1 1.29 1.39 0 0 1.077519 1 1.19 0.88 0 1 0.739496 0 0.98 0.98 0 0 1 0 0.88 1.39 1 0 1.579545 0 1.38 1.38 0 0 1 0 1.38 1.38 0 0 1 0 0.68 0.68 1 1 1 0 0.88 0.88 0 0 1 0 0.78 1.39 1 0 1.782051 0 0.88 1.39 0 0 1.579545 0 0.88 1.19 1 0 1.352273 0 0.88 1.19 1 0 1.352273 1 1.39 1.17 0 1 0.841727 0 1.38 1.39 0 0 1.007246 1 1.29 1.39 0 0 1.077519 1 1.29 1.39 0 0 1.077519 1 1.39 1.09 0 0 0.784173 1 1.29 1.39 0 0 1.077519 1 1.39 1.39 0 0 1 1 1.39 0.98 0 1 0.705036 0 0.92 0.95 1 1 1.032609 1 0.92 0.95 1 1 1.032609 1 1.39 0.99 0 0 0.71223 0 0.88 1.39 0 0 1.579545 1 0.68 0.68 1 1 1 0 1.38 1.39 0 0 1.007246 0 0.88 0.88 1 1 1 1 1.39 0.98 0 1 0.705036 1 1.35 0.78 0 1 0.577778 0 0.78 0.78 1 1 1 1 1.19 1.39 0 0 1.168067 1 0.88 0.88 1 1 1 1 1.39 1.39 0 0 1 0 0.68 0.68 1 1 1 1 0.68 0.68 1 1 1 0 1.39 0.99 0 1 0.71223 0 1.19 1.39 0 0 1.168067 0 1.29 1.39 0 0 1.077519 0 0.98 0.98 1 1 1 1 0.98 0.98 1 1 1 1 1.39 0.98 0 1 0.705036 1 1.35 0.78 0 1 0.577778 1 0.78 0.78 1 1 1 0 1.31 1.39 0 0 1.061069 0 0.88 1.39 1 0 1.579545 0 0.88 0.88 1 1 1 1 0.88 0.88 1 1 1 0 1.18 1.39 0 0 1.177966 0 1.18 1.38 0 0 1.169492 1 1.29 1.39 1 0 1.077519 1 1.39 0.98 0 1 0.705036 0 0.98 1.39 0 0 1.418367 0 0.88 0.88 1 1 1 0 0.88 0.88 1 1 1 0 1.39 1.19 1 0 0.856115 1 1.39 1.19 1 0 0.856115 1 1.39 1.19 0 0 0.856115 1 1.19 0.88 0 1 0.739496 0 1.39 1.19 0 0 0.856115 0 1.19 1.39 0 0 1.168067 0 1.39 1.19 0 0 0.856115 0 1.39 1.29 0 0 0.928058 0 1.38 1.38 0 0 1 0 0.68 0.68 1 1 1 1 0.88 0.88 0 0 1 0 0.88 1.39 0 0 1.579545 0 1.39 0.99 0 0 0.71223 0 1.39 0.99 0 1 0.71223 0 1.39 1.09 0 0 0.784173 0 1.09 1.39 1 0 1.275229 0 0.88 0.78 1 0 0.886364 0 0.88 1.39 1 0 1.579545 0 0.88 1.39 0 0 1.579545 1 1.38 1.39 0 0 1.007246 0 1.19 1.39 0 0 1.168067 0 1.19 1.39 1 0 1.168067 1 1.19 1.39 1 0 1.168067 0 1.39 1.19 0 0 0.856115 0 1.19 1.39 0 0 1.168067 0 1.39 1.39 0 0 1 0 1.29 1.39 0 0 1.077519 0 1.29 1.39 0 0 1.077519 0 1.39 1.29 0 0 0.928058 0 1.38 1.39 0 0 1.007246 0 1.39 1.29 0 0 0.928058 1 1.39 1.29 0 0 0.928058 0 1.39 0.98 0 0 0.705036 0 0.88 0.88 1 1 1 0 1.38 1.39 0 0 1.007246 0 1.19 1.39 0 0 1.168067 0 1.19 1.39 0 0 1.168067 0 1.79 1.33 0 1 0.743017 0 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0 1 0.497207 1 1.79 0.89 0 1 0.497207 1 1.41 0.89 0 0 0.631206 1 1.41 0.89 0 0 0.631206 1 1.19 1.04 0 0 0.87395 1 1.19 1.04 0 0 0.87395 1 0.89 0.89 1 1 1 1 1.65 1.19 0 0 0.721212 1 1.79 1.33 0 1 0.743017 1 1.19 1.55 1 0 1.302521 1 1.79 1.11 0 0 0.620112 1 1.09 0.99 0 1 0.908257 1 1.09 0.99 0 1 0.908257 1 1.33 1.13 0 0 0.849624 1 1.43 0.99 0 1 0.692308 1 0.99 0.99 0 0 1 1 0.99 0.99 0 0 1 1 1.17 1.17 1 0 1 1 0.99 0.99 1 1 1 1 1.39 1.39 0 0 1 1 1.39 1.38 0 0 0.992806 1 1.39 1.39 0 0 1 1 0.78 0.78 1 1 1 1 1.39 0.88 0 1 0.633094 1 1.19 1.19 0 0 1 1 1.38 0.88 0 1 0.637681 1 1.79 1.79 0 0 1 1 1.79 1.79 0 0 1 0 0.99 1.79 0 0 1.808081 1 1.79 0.99 0 0 0.553073 0 0.89 1.33 1 1 1.494382 0 1.05 1.33 0 1 1.266667 1 1.19 1.04 0 0 0.87395 1 1.19 1.02 1 1 0.857143 1 1.05 1.04 1 0 0.990476 1 0.99 1.19 1 0 1.20202 1 1.33 1.79 0 0 1.345865 1 1.41 0.89 0 0 0.631206 1 0.89 0.89 1 1 1 1 0.89 0.89 1 1 1 1 1.79 1.12 0 1 0.625698 0 0.98 1.39 1 0 1.418367 0 1.39 1.19 0 0 0.856115 1 1.39 1.19 0 0 0.856115 1 0.98 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0.99 1 1 1 1 1.79 1.33 0 1 0.743017 1 1.79 0.89 0 1 0.497207 0 1.33 1.79 1 0 1.345865 0 1.79 0.89 0 1 0.497207 1 1.79 0.89 0 1 0.497207 1 1.79 0.89 0 1 0.497207 0 1.79 1.33 0 1 0.743017 1 1.79 1.33 0 1 0.743017 1 1.41 0.89 0 0 0.631206 1 0.89 1.33 1 1 1.494382 1 1.79 1.54 0 0 0.860335 1 1.52 1.33 0 0 0.875 1 0.89 0.89 1 1 1 1 0.98 0.89 0 1 0.908163 1 1.35 1.53 0 0 1.133333 1 0.89 0.89 1 1 1 1 1.19 1.55 1 0 1.302521 1 1.19 1.55 1 0 1.302521 1 1.33 1.56 0 0 1.172932 1 1.79 1.11 0 0 0.620112 1 1.09 0.99 0 1 0.908257 1 1.09 0.99 0 1 0.908257 1 1.52 1.33 0 0 0.875 1 1.57 1.33 0 1 0.847134 1 0.69 0.69 1 1 1 1 0.99 0.99 0 0 1 1 0.99 0.99 0 0 1 1 1.17 1.22 0 0 1.042735 1 1.52 1.79 0 0 1.177632 1 0.99 0.99 1 1 1 1 0.99 0.99 1 1 1 1 0.99 1.53 1 0 1.545455 1 1.09 1.33 0 1 1.220183 1 1.79 1.55 0 0 0.865922 1 1.48 1.29 0 0 0.871622 1 0.99 0.99 1 1 1 1 1.79 1.33 0 0 0.743017 1 1.79 1.33 0 0 0.743017 1 1.79 1.33 0 0 0.743017 1 0.89 0.89 1 1 1 0 1.79 1.33 0 0 0.743017 1 1.39 1.19 0 0 0.856115 0 1.09 1.39 1 0 1.275229 1 1.39 1.19 0 0 0.856115 1 1.79 1.11 0 0 0.620112 1 1.39 0.88 0 0 0.633094 0 1.19 1.33 0 1 1.117647 1 0.88 0.88 1 1 1 0 0.78 1.39 1 0 1.782051 0 0.99 1.5 1 0 1.515152 1 1.79 1.29 0 1 0.72067 0 1.09 1.39 1 0 1.275229 1 0.88 1.39 1 0 1.579545 0 0.77 1.79 0 0 2.324675 0 1.79 0.89 0 0 0.497207 1 1.79 0.99 0 0 0.553073 1 1.79 0.99 0 0 0.553073 1 1.79 1.79 0 0 1 1 1.79 0.99 0 0 0.553073 1 1.79 1.79 0 0 1 1 0.99 1.79 1 0 1.808081 0 0.99 1.79 1 0 1.808081 1 0.99 1.79 1 0 1.808081 1 1.79 0.99 0 0 0.553073 1 1.79 1.79 0 0 1 1 1.79 1.79 0 0 1 1 0.99 1.79 0 0 1.808081 0 0.99 1.79 0 0 1.808081 1 1.79 1.79 0 0 1 1 1.79 0.89 0 1 0.497207 1 1.79 1.11 0 0 0.620112 0 1.39 1.39 0 0 1 1 1.39 1.39 0 0 1 0 1.39 1.39 0 0 1 0 1.19 1.55 1 0 1.302521 0 1.33 1.56 0 0 1.172932 0 0.89 1.33 1 1 1.494382 1 0.98 0.89 0 1 0.908163 0 1.19 1.55 1 0 1.302521 0 0.77 1.79 0 0 2.324675 0 0.89 1.33 1 1 1.494382 1 0.89 0.89 1 1 1 1 1.48 1.29 0 0 0.871622 1 0.79 0.79 1 1 1 1 1.79 1.33 0 0 0.743017 1 1.79 1.79 0 0 1 1 1.79 1.79 0 0 1 1 0.99 0.99 1 1 1 1 0.89 0.89 1 1 1 1 1.05 1.04 1 0 0.990476 1 1.65 1.19 0 0 0.721212 0 1.19 1.55 1 0 1.302521 0 1.39 1.79 0 0 1.28777 1 1.56 0.99 0 1 0.634615 1 1.09 0.99 0 1 0.908257 1 1.33 1.13 0 0 0.849624 1 1.52 1.33 0 0 0.875 1 1.52 1.33 0 0 0.875 1 1.48 1.79 0 0 1.209459 1 1.57 1.33 0 1 0.847134 1 1.79 1.53 0 0 0.854749 1 0.99 1.19 1 0 1.20202 1 1.79 1.12 0 1 0.625698 0 0.99 0.99 1 1 1 1 0.99 0.99 0 0 1 1 0.99 1.42 1 0 1.434343 1 1.05 1.33 0 1 1.266667 1 0.89 0.89 1 1 1 1 0.89 0.89 1 1 1 0 0.78 0.78 1 1 1 0 1.33 1.13 0 0 0.849624 0 1.31 1.39 0 0 1.061069 0 0.99 0.99 0 0 1 0 0.99 0.99 0 0 1 0 1.33 1.79 1 0 1.345865 1 0.98 0.89 0 1 0.908163 0 0.99 0.99 1 1 1 0 0.99 1.42 1 0 1.434343 1 1.33 1.79 0 0 1.345865 1 1.79 1.79 0 0 1 1 1.33 1.79 1 0 1.345865 1 1.43 0.99 0 1 0.692308 0 0.99 1.79 1 0 1.808081 0 0.99 1.79 1 0 1.808081 0 1.79 1.79 0 0 1 1 1.33 1.79 1 0 1.345865 0 0.99 1.79 0 0 1.808081 0 0.99 1.79 0 0 1.808081 1 1.19 1.04 0 0 0.87395 1 0.98 0.89 0 1 0.908163 0 0.89 0.89 1 1 1 1 0.89 0.89 1 1 1 1 0.99 0.99 1 1 1 1 1.79 1.12 0 1 0.625698 1 0.99 0.99 0 0 1 0 0.99 0.99 1 1 1 1 1.5 1.33 0 1 0.886667 0 1.79 0.99 0 0 0.553073 0 0.89 0.89 1 1 1 1 0.89 0.89 1 1 1 0 1.39 1.19 1 0 0.856115 1 0.98 0.89 0 1 0.908163 1 0.98 0.89 0 1 0.908163 1 1.19 1.02 1 1 0.857143 0 0.78 0.78 1 1 1 0 0.69 0.69 1 1 1 0 0.99 1.5 1 0 1.515152 0 1.12 1.79 0 0 1.598214 0 0.99 0.99 1 1 1 0 0.99 1.53 1 0 1.545455 0 1.79 0.89 0 1 0.497207 0 0.99 1.79 1 0 1.808081 1 1.33 1.79 1 0 1.345865 0 0.98 0.89 0 1 0.908163 1 1.19 1.02 1 1 0.857143 0 0.98 1.19 0 0 1.214286 1 1.38 1.39 0 0 1.007246 0 0.89 0.89 1 1 1 0 0.68 0.68 1 1 1 1 0.68 0.68 1 1 1 1 1.09 0.99 0 1 0.908257 1 1.33 1.13 0 0 0.849624 0 0.88 1.39 1 0 1.579545 0 0.99 1.19 1 0 1.20202 1 0.99 1.19 1 0 1.20202 0 1.12 1.79 0 0 1.598214 0 0.99 0.99 1 1 1 0 1.17 1.17 1 0 1 0 1.39 1.38 0 0 0.992806 1 1.39 1.38 0 0 0.992806 1 0.99 1.79 0 0 1.808081 1 1.79 0.89 0 1 0.497207 1 1.09 1.33 0 1 1.220183 1 0.89 0.89 1 1 1 1 1.19 0.88 0 1 0.739496 ; /* Linear Probability Models reported in Table 8.1 in Hill et al */ title 'Linear Probability Model - OLS'; proc reg data = marketing_coke; model coke = pratio disp_coke disp_pepsi; output out=results p=pred r=resid; run; data White; set results; resid2 = resid*resid; pratio2 = pratio*pratio; pratio_coke = pratio*disp_coke; pratio_pepsi = pratio*disp_pepsi; run; title1 'This is White Test for Heteroskedasticity with squared and interaction terms'; title2 'Look at the Overall F-test for this test regression'; proc reg data = White; model resid2 = pratio disp_coke disp_pepsi pratio2 pratio_coke pratio_pepsi; run; title 'Linear Probability Model - White Robust Standard Errors'; proc reg data = marketing_coke; model coke = pratio disp_coke disp_pepsi / white; run; data results_trunc; set results; if pred*(1 - pred) < 0.01 then w = 100; else w = 1/(pred*(1 - pred)); run; title 'Linear Probability Model - GLS-trunc'; proc reg data = results_trunc; weight w; model coke = pratio disp_coke disp_pepsi; run; data results_omit; set results; if 0 < pred < 1; w = 1/(pred*(1 - pred)); run; title 'Linear Probability Model - GLS-omit'; proc reg data = results_omit; weight w; model coke = pratio disp_coke disp_pepsi; EqualOppositeDisplay: test disp_coke + disp_pepsi; run;