  Solving the chemical master equation exactly is typically not possible, so
instead we must rely on simulation based methods. Unfortunately, drawing exact
realisations, results in simulating every reaction that occurs. This will
preclude the use of exact simulators for models of any realistic size and so
approximate algorithms become important. In this paper we describe a general
framework for assessing the accuracy of the linear noise and two moment
approximations. By constructing an efficient space filling design over the
parameter region of interest, we present a number of useful diagnostic tools
that aids modellers in assessing whether the approximation is suitable. In
particular, we leverage the normality assumption of the linear noise and moment
closure approximations.
