The method of analysis Radical Absorbance Capacity Oxygen (ORAC) is most sensitive than ABTS, DPPH and FRAP because develops the reaction of the reactive species with the oxidizable substrate to the end and uses the technique of area under the curve of decrease (AUC) for quantification, which integrates the percentages of inhibition with time of inhibition of the action of free radicals due an antioxidant in a determined concentration.
It really depends what you are looking for. The best is to use different assays as they all represent different modes of action (eg hydrogen atom transfer, single electron transfer) DPPH is pure radical scavenging whereas ABTS measures both HAT end SET). I have used both assays and they work well. Most recently, i use a combination of ABTS (TEAC-assay) and FRAP to get an idea of both antioxidant mechanisms in plant extracts.