## Solved – Differences between poisson.test and E-test when testing Poisson parameters

Suppose we have two independent Poisson-distributed variables $X_1$ and $X_2$. We want to test whether the Poisson parameters are equal, i.e. whether $lambda_1=lambda_2$. Now we have 4 distinct statistical exact tests to choose: E-test (see Krishnamoorthy and Thomson, A more powerful test for comparing two Poisson means, Journal of Statistical Planning and Inference 119 (2004) … Read more