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The impact on Type I error robustness and power for nine different methods of resolving ties was assessed for six distribution-free statistics with four empirical data sets using Monte Carlo techniques. These statistics share an underlying assumption of population continuity such that samples are assumed to have no equal data values (no zero difference-scores, no tied ranks). The best results across all tests and combinations of simulation parameters were obtained by randomly resolving ties,doi:10.22237/jmasm/1146456180 fatcat:d3pws7zjoreq5g2p62xyvouqia