Hasse diagram technique, based on partial ordering is an advantageous method to analyse complex systems of data such as objects characterized by multi-indicator systems. Beside ordered sequences of objects the theory may reveal the impact of each indicator for the set of order relations, which in general is of high interest. A method to measure the impact has already been known for more than 20 years; however, up to now there is no method for a testing as to how far these impacts are considered to be relevant. The actual study presents a first attempt for a testing theory, albeit an extension to statistical testing framework is still open. The testing approach so far is applied to the indicators of gender-equality. It turns out that for the 28 nations (pre-Brexit) of the EU, 2006, in addition to the unified European Union only one indicator can definitely be declared as relevant.
