Perform a histogram test with the metric EMD
This check divides the data into blocks, estimates their probability density functions by histograms and compares them by using the Earth Movers Distance.
qat_analyse_histogram_test_emd_2d(measurement_vector, blocksize, numofbars)
- The measurement vector (2d array), which should be tested
- Number of elements in the first dimension, which should be used for each block
- Number of bins of the histogram
The field will be divided into blocks in the first dimension, with a length given by the parameter blocksize. From these blocks histograms are computed and afterwards compared. As a metric for the comparison the Earth Movers Distance is used. As a result a field is generated, which includes the results of the comparison between every combination of blocks.
Duesterhus, A., Hense, A. (2012) Advanced Information Criterion for Environmental Data Quality Assurance, \_Advances in Science and Research\_, *8*, 99-104.
vec <- array(rnorm(1000), c(100, 20)) vec[51:100, ] <- vec[51:100, ] + 1 result <- qat_analyse_histogram_test_emd_2d(vec, 4, 65) qat_plot_histogram_test(result$field, "test_emd_2d", result$blocksize, result$numofbars, "emd", result$runs)