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We compare the measurements of the bispectrum and the estimate of itscovariance obtained from a set of different methods for the efficientgeneration of approximate dark matter halo catalogs to the same quantitiesobtained from full N-body simulations. To this purpose we employ a large set ofthree-hundred realisations of the same cosmology for each method, run withmatching initial conditions in order to reduce the contribution of cosmicvariance to the comparison. In addition, we compare how the error oncosmological parameters such as linear and nonlinear bias parameters depends onthe approximate method used for the determination of the bispectrum variance.As general result, most methods provide errors within 10% of the errorsestimated from N-body simulations. Exceptions are those methods requiringcalibration of the clustering amplitude but restrict this to two-pointstatistics. Finally we test how our results are affected by being limited to afew hundreds measurements from N-body simulation, and therefore to thebispectrum variance, by comparing with a larger set of several thousandsrealisations performed with one approximate method.

Comparing approximate methods for mock catalogues and covariance matrices III: Bispectrum