  This paper presents cosmological results from the final data release of the
WiggleZ Dark Energy Survey. We perform full analyses of different cosmological
models using the WiggleZ power spectra measured at z=0.22, 0.41, 0.60, and
0.78, combined with other cosmological datasets. The limiting factor in this
analysis is the theoretical modelling of the galaxy power spectrum, including
non-linearities, galaxy bias, and redshift-space distortions. In this paper we
assess several different methods for modelling the theoretical power spectrum,
testing them against the Gigaparsec WiggleZ simulations (GiggleZ). We fit for a
base set of 6 cosmological parameters, {Omega_b h^2, Omega_CDM h^2, H_0, tau,
A_s, n_s}, and 5 supplementary parameters {n_run, r, w, Omega_k, sum m_nu}. In
combination with the Cosmic Microwave Background (CMB), our results are
consistent with the LambdaCDM concordance cosmology, with a measurement of the
matter density of Omega_m =0.29 +/- 0.016 and amplitude of fluctuations sigma_8
= 0.825 +/- 0.017. Using WiggleZ data with CMB and other distance and matter
power spectra data, we find no evidence for any of the extension parameters
being inconsistent with their LambdaCDM model values. The power spectra data
and theoretical modelling tools are available for use as a module for CosmoMC,
which we here make publicly available at http://smp.uq.edu.au/wigglez-data . We
also release the data and random catalogues used to construct the baryon
acoustic oscillation correlation function.
