question archive Before undertaking a flood related frequency analysis on time series data, what statistical criteria must the data series meet in order for the frequency analysis to be theoretically valid? a) Independence and randomness b) Independence, randomness, homogeneity and stationarity c) Stationarity and homogeneity d) Homogeneity and randomness

Before undertaking a flood related frequency analysis on time series data, what statistical criteria must the data series meet in order for the frequency analysis to be theoretically valid? a) Independence and randomness b) Independence, randomness, homogeneity and stationarity c) Stationarity and homogeneity d) Homogeneity and randomness

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Before undertaking a flood related frequency analysis on time series data, what statistical criteria must the data series meet in order for the frequency analysis to be theoretically valid?

a) Independence and randomness

b) Independence, randomness, homogeneity and stationarity

c) Stationarity and homogeneity

d) Homogeneity and randomness

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Stationarity and Homogeneity

Step-by-step explanation

Before undertaking a flood related frequency analysis using statistical analysis, the homogeneity or general characteristics of the flood data series and stationarity must be considered and this criteria must be met to be theoretically valid. 

Stationarity must be considered in order to determine the model that should be used for time series analysis such as AR model and MR model and others. Stationarity implies constant mean and variance of time series, all over the time period. This means that at a time period 5 years, 10 years, 15 years or at any time period, mean and variance remain constant.