The Burst and Transient Source Experiment (BATSE) has measured homogeneity and isotropy parameters from an increasingly large sample of observed gamma‐ray bursts (GRBs), while also maintaining a summary of the way in which the sky has been sampled. Measurement of both of these are necessary for any study of the BATSE data statistically, as they take into account the most serious observational selection effects known in the study of GRBs: beam‐smearing and inhomogeneous, anisotropic sky sampling. Knowledge of these effects is important to analysis of GRB angular and intensity distributions. In addition to determining that the bursts are local, it is hoped that analysis of such distributions will allow boundaries to be placed on the true GRB spatial and luminosity distributions is direct. The technique for studying GRB spatial and luminosity distributions is direct. Results of BATSE analyses are compared to Monte Carlo models parameterized by a variety of spatial and luminosity characteristics. Statistical analysis of model homogeneity and isotropy are made via the ⟨V/Vmax⟩ test, the log(N≳C) vs. log(C) test, multipole analysis, and two‐point angular correlation analysis. Comparisons of Monte Carlo test results to those of BATSE (all adjusted to account for selection effects) return confidence levels that given models explain BATSE observations.