Efficacy of Time Series Tests: A Critical Assessment - Hydrologic Time Series Analysis: Theory and Practice - page 153

Table 7.5. Comparison of observed and critical test-statistics of the Simple t -test, Mann-Whitney test and Kendall's phase lengths test results

Rainfall Simple t-test Mann-Whitney test Kendall's phase length test

time series ts computed ts critical u c u critical 1 2 3 4

Annual 0.93 1.30 -1.22 ±1.96 17 7 2 1

(17.92) (7.70) (2.16) (0.46)

One-day max. 1.16 1.30 0.40 ±1.96 13 12 2 -

(18.33) (7.88) (2.22)

2-day max. 1.07 1.30 0.66 ±1.96 13 9 4 -

(18.33) (7.88) (2.22)

3-day max. 1.03 1.30 0.38 ±1.96 22 8 0 1

(18.33) (7.88) (2.22) (0.47)

4-day max. 1.23 1.30 0.64 ±1.96 19 8 0 2

(18.33) (7.88) (2.22) (0.47)

5-day max. 1.07 1.30 0.53 ±1.96 24 9 0 0

(18.33) (7.88) (2.22) (0.47)

6-day max. 1.03 1.30 0.55 ±1.96 21 9 1 0

(18.33) (7.88) (2.22) (0.47)

Note: Bracketed figures in last four columns are critical values at 5% significance level.
Figures in bold face indicate the rejection of the null hypothesis of no trend.
max. = maximum.