id summary reporter owner description type status milestone component version severity resolution keywords cc 12688 Boost..Accumulators test/median.cpp testing method is flawed A. Sinan Unur Eric Niebler "I am going to stick with Stats terminology, because I get confused. I am going to use the word ''sample'' to mean a collection of data points or draws or observations, not a single one. 1. In the test, you generate a sample of 100,000 observations from N(1,1), and check if the medians computed by the implementations are close enough to the true population median of 1. That is flawed: The algorithms are for calculating the median of the set of numbers you have. Therefore, the medians they produce should be compared to the actual median of the sample you just generated. The median of that sample can be obtained by storing the draws in a `vector` and getting the exact median from that. This is not hard to do. I am not, however, submitting a pull request to do that because I am not convinced this approach is the right way to test the algorithms. 2. In the case of P^2^, the original paper contains a worked-out example by the authors using 20 observations. They show exactly what the algorithm should produce at each step. Your implementation does not match those steps. The following short program demonstrates this: {{{ #include #include #include #include #include #include #include #include namespace bacc = boost::accumulators; int main(void) { bacc::accumulator_set > acc; // See http://www.cse.wustl.edu/~jain/papers/psqr.htm // First five observations acc(0.02); acc(0.5); acc(0.74); acc(3.39); acc(0.83); const std::vector > jain_chlamtac { { 22.37, 0.74 }, { 10.15, 0.74 }, { 15.43, 2.18 }, { 38.62, 4.75 }, { 15.92, 4.75 }, { 34.60, 9.28 }, { 10.28, 9.28 }, { 1.47, 9.28 }, { 0.40, 9.28 }, { 0.05, 6.30 }, { 11.39, 6.30 }, { 0.27, 6.30 }, { 0.42, 6.30 }, { 0.09, 4.44 }, { 11.37, 4.44 }, }; for (auto p: jain_chlamtac) { acc(p.first); std::cout << ""calculated= "" << bacc::median(acc) << ""\texpected= "" << p.second << '\n'; } return 0; } }}} This produces {{{ calculated= 0.74 expected= 0.74 calculated= 0.74 expected= 0.74 calculated= 2.06167 expected= 2.18 calculated= 4.55176 expected= 4.75 calculated= 4.55176 expected= 4.75 calculated= 9.15196 expected= 9.28 calculated= 9.15196 expected= 9.28 calculated= 9.15196 expected= 9.28 calculated= 9.15196 expected= 9.28 calculated= 6.17976 expected= 6.3 calculated= 6.17976 expected= 6.3 calculated= 6.17976 expected= 6.3 calculated= 6.17976 expected= 6.3 calculated= 4.24624 expected= 4.44 calculated= 4.24624 expected= 4.44 }}} More a more detailed exposition, see my blog post https://www.nu42.com/2016/12/cpp-boost-median-test.html This is the first time I am looking at Boost.Accumulators and I haven't figured out everything yet, so I do not have a fix (and I can't promise I am going to have a fix soon), but I thought I would get the ball rolling. Maybe the issue will be more transparent to you. To summarize: 1. The implementations should be tested against cases where we know what they are supposed to do. 2. It looks like there is a problem in the implementation of the P^2^ algorithm. HTH, -- Sinan" Bugs new To Be Determined accumulator Boost 1.62.0 Problem testing, median, algorithm, accumulator