Table 3 Statistical tests for distributions of time series of τ

From: Evaluating Rank-Coherence of Crowd Rating in Customer Satisfaction

Null Hypothesis (H0) Median test (Wilcoxon) p-value (H0) Kolmogorov–Smirnov test p-value
Med(τWOSA) – Med(τOSA) > 0 .0052 (Reject H0) τ OSA > τ WOSA .9557 (Do not reject H0)
Med(τFS) – Med(τOSA) > 0 .9981(Do not reject H0) τ OSA > τ FS .0067 (Reject H0)
Med(τWOSA) – Med(τFS) > 0 .0000 (Reject H0) τ FS > τ WOSA .9972 (Do not reject H0)