Statistical analysis of time series is still inadequate within circulation research. With the advent of increasing computational power and real-time recordings from hemodynamic studies, one is increasingly dealing with vast amounts of data in time series. This paper aims to illustrate how statistical analysis using the Significant Nonstationarities (SiNoS) method may complement traditional Repeated Measures ANOVA and Linear Mixed Models. We applied these methods on a dataset of local hepatic and systemic circulatory changes induced by aortoportal shunting and graded liver resection. We found SiNoS analysis more comprehensive when compared to traditional statistical analysis in four ways: One, the method allows better signal to noise detection; two, including all data points from real time recordings in a statistical analysis permits better detection of significant features in the data; three, analysis with multiple scales of resolution facilitates a more differentiated observation of the material; and four, the method affords excellent visual presentation by combining group differences, time trends and multiscale statistical analysis allowing the observer to quickly view and evaluate the material. It is our opinion that SiNoS analysis of time series is a very powerful statistical tool that may be used to complement conventional statistical methods.