  Experimental detection of entanglement of an arbitrary state of a given
bipartite system is crucial for exploring many areas of quantum information.
But such a detection should be made in a device independent way if the
preparation process of the state is considered to be faithful, in order to
avoid detection of a separable state as entangled one. The recently developed
scheme of detecting bipartite entanglement in a measurement device independent
way [Phys. Rev. Lett {\bf 110}, 060405 (2013)] does require information about
the state. Here by using Auguisiak et al.'s universal entanglement witness
scheme for two-qubit states [Phys. Rev. A {\bf 77}, 030301 (2008)], we provide
a universal detection scheme for two-qubit states in a measurement device
independent way. We provide a set of universal witness operators for detecting
NPT-ness(negative under partial transpose) of states in a measurement device
independent way. We conjecture that no such universal entanglement witness
exists for PPT(positive under partial transpose) entangled states. We also
analyse the robustness of some of the experimental schemes of detecting
entanglement in a measurement device independent way under the influence of
noise in the inputs (from the referee) as well as in the measurement operator
as envisazed in ref. [Phys. Rev. Lett {\bf 110}, 060405 (2013)].
