The objective of preliminary statistical analysis in hydrology is to examine the independence and stationarity of the data series. Rao and Hamid (2000) identified four major analysis which is independence and stationarity test, homogeneity test, and the outliers and trends test that required in hydrology analysis.
The test for independence and stationarity can be conducted using Wald-Wolfowitz method (WW-Test. The equations of this test is shown below:
The homogeneity test was used to test the hypothesis of two samples data. The test is conducted using The Mann and Whitney method.
The outliers test is important to smooth the data fitting distribution. Low and high outliers will give different effects on the analysis. Grubbs and Beck test is used to detect outliers based on the assumption of normality.
The distribution test is conducted to understand the behavior of hydrology time series data.The Mann-Kendall test is widely used to detect trends in hydrologic data. The Wilcoxon inversion Test (Kanji, 1993) is used to test if two random samples have the same frequency distribution.
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