The effects of the violations normality and homogeneity variances assumptions on power one-way ANOVA F-test is studied in this paper. Simulation experiments were conducted to compare parametric with non-parametric Kruskal‒Wallis (KW) test normal/non-normal, equal/unequal scenarios sample group means. Each these 184 simulation was replicated N = 1000 times obtained for both F KW tests. Shapiro‒W...

Exotic smooth manifolds, R ×Θ S , are constructed and discussed as possible space-time models supporting the usual Kruskal presentation of the vacuum Schwarzschild metric locally, but not globally. While having the same topology as the standard Kruskal model, none of these manifolds is diffeomorphic to standard Kruskal, although under certain conditions some global smooth Lorentz-signature metr...

Little is known about how restoration strategies affect aspects like leaf litter's quantity, depth and humidity. I analyzed leaf litter's quantity, depth and humidity yearly patterns in a primary tropical lower montane wet forest and two restored areas: a 15 year old secondary forest (unassisted restoration) and a 40 year old Cupressus lusitanica plantation (natural understory). The three habit...

We generated exact probability distributions for sample sizes up to 35 in each of three groups ( 105 N  ) and up to 10 in each of four groups ( 40 N  ). We provided a portion of these exact probability tables and compared the exact distributions to the chi-square, gamma, and beta approximations. The beta approximation was best in terms of the root mean squared error. At specific significance ...

Abstract Frequent observations of ion beams moving out from Saturn’s plasma environment hints at the generation Bernstein–Greene–Kruskal (BGK) modes. As environments Saturn and its moon Enceladus are characterized by ubiquitous presence massive negatively charged dust particles, existing BGK theory for electron-ion models cannot address this scenario. This manuscript develops a theoretical mode...