However, the model output and the observation data are only one case (i.e., realization) out of many possibilities, rather than being sampled from the entire population of a certain distribution due to internal climate variability.
Color bars indicate the center of all windows of size T for which the null hypothesis of the number of events per day in both datasets being sampled from the same distribution can be rejected at a 5% significance level.
The Anderson-Darling test rejects the hypothesis of both time-series being sampled from the same distribution if the statistic A 2 is smaller than the critical level A 0.05 2 for a significance level of 0.05.
Bold font marks cases where the value of the Anderson-Darling statistic A 2 is smaller than the critical level A 0.05 2 = 2.492 (large-sample approximation) and the hypothesis of two datasets being sampled from the same distribution can not be rejected at a 5% significance level.
At all airflow rates tested, there were significant differences in the distribution of particle deposition across the four QCM positions (Table 2): deposition was not uniform left-right despite the vacuum rate being set and maintained for each of the four wells, and smoke being sampled from the same dilution bar.
We have k = [Tc/T] T-intervals, so the sample of our T-maxima has size k: MT1, …, M T,k We assume that T is large enough, so that each M T,j can be considered as being sampled from the GEV distribution with some unknown parameters (ξ, σ T, μ T ) that should be estimated through the sample MT,1, …, M T,k.
