Abstract We consider a Dirichlet problem driven by the anisotropic ( p z ), q ))-Laplacian, with parametric reaction exhibiting combined effects of singular and concave-convex nonlinearities. The superlinear term may change sign. Using variational tools together truncation comparison techniques, we prove global (for parameter $$\lambda >0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/Ma...