  To determine any pattern in an ordered binary sequence of wins and losses of
a player over a period of time, the Runs Test may show results contradictory to
the intuition visualised by scatter plots of win proportions over time. We
design a test suitable for this purpose by computing the gaps between two
consecutive wins and then using exact binomial tests and non-parametric tests
like Kendall's Tau and Siegel-Tukey's test for scale problem for determination
of heteroscedastic patterns and direction of the occurrence of wins. Further
modifications suggested by Jan Vegelius(1982) have been applied in the Siegel
Tukey test to adjust for tied ranks.

Methodology