Parametrisch statistics is a branch of statistische Methoden that makes certain assumptions about the parameters of the population distribution from which the data is drawn. Commonly, these methods assume that the data follows a Normalverteilung, although other distributions may also be considered depending on the context.
In parametric statistics, parameters such as mean and variance are estimated from the sample data, and statistical tests are conducted based on these estimations. This approach is often contrasted with non-parametrische Statistik, which do not assume any specific distribution and are used when such assumptions cannot be met.
Beispiele für parametrische statistische Methoden sind t-Tests, ANOVA (Analysis of Variance), and linearer Regression. These methods can provide powerful insights when the assumptions hold true, allowing for more precise estimates and conclusions regarding population parameters.
It’s important to note that the reliability of parametric statistical results heavily depends on the validity of the assumptions made. If the underlying data significantly deviate from the assumed distribution, the results can be misleading. Therefore, researchers often conduct tests for normality and other assumptions before applying parametric methods and may switch to non-parametric alternatives if the assumptions are violated.