Figure 2 shows the results of the simulation for 10,000 two sample t tests using data from a Lognormal distribution. The distribution of P-values is not Uniform, with an excess of P-values in the region 0.1 to 0.4 and deficits in the regions 0.0 to 0.05 and 0.06 to 1.0. The distribution has a distinct mode and fewer values less than 0.05, indicating conventional statistical significance, than was found with the Normal data.
