The bone density measurements done by DEXA scanning approach are used in diagnosis of osteoporosis. There are six major sites used for DEXA scanning of each hip (three sites on the left and three sites on the right) including: the femoral neck, the trochanteric site, and Ward's Triangle with or without corresponding total hip measurements. In the past, two separate researches conducted by the authors to determine whether all six measurements are needed for diagnosis of osteoporosis. The results revealed that none of the six measurements are redundant. The null hypothesis that we investigate in this paper is that having non-redundant sites means the measurements of bone density for these sites are in concordance. The concordance analysis is implemented using a new neural network (CNN). The results reveal that the null hypothesis is true.