Here modeling and computations are presented to introduce the novel concept of statistical declaration and probable error for radiative flow between two stretchable rotating disks. Effects of Joule heating and thermal radiation are accounted. Homogenous and heterogeneous reactions are also implemented. The thermophysical characteristics of nanofluids are scrutinized using silver and copper nanoparticles. Statistical declaration and probable error for coefficient of skin friction and heat transfer rate are calculated. System of nonlinear ordinary differential equations is obtained by using appropriate variables. Convergent solutions of the involved problems are obtained and discussed. Skin friction coefficient and Nusselt number are calculated and discussed. Radial and axial velocities have opposite impact for stretching parameters of lower and upper disks. Concentration decays for both Schmidt number and homogeneous reaction variable. Coefficient of skin friction is less for larger rotational parameter at both disks. Opposite behavior of heat transfer rate is observed at lower and upper disks for increasing Eckert number. For limiting cases comparisons with previously available results [23,52,53] in the literature are made and an excellent agreement is noticed. (C) 2017 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.