Not exact matches
Perhaps much of your nonsense is rooted in the fact that you have confused «stationary» with having a «unit root» (
which is what the Dickey - Fuller test is for, not for
stationarity).
About
stationarity — in time series analysis one simply must difference a variable if it is not stationary (unless it is cointegrated with another variable,
which is not the case here).
GMST should have gone up 3/40 % = 1.2 C; GISS says 0.6 C over the period and of that 0.6 C TAR gives 0.4 C for solar, downgraded in AR4 to 0.2 C, leaving 0.4 C if ENSO
stationarity is assumed,
which is surely wrong.
«The equations (1), (2) and (3) represent the
stationarity requirement that particles located in certain volume with certain velocities will at a later moment be replaced by an equal number of other particles
which have the same velocities when the influence of gravity on velocity is taken into account.
There are now long enough time scales of data to test for the emergence of properties like
stationarity and antipersistence
which are implied by the intuitive meaning of climate.
However, revisiting the notions of
stationarity and nonstationarity,
which are defined within stochastics, we may understand that the terms are often abused.
«Consistent with previous analyses (see e.g. Montanari, 2012; Zanchettini et al., 2008),» they write, «our trend detection analysis,
which we carried out on long historical series observed for the Po river, does not detect any evidence of a statistically significant change in the flood hazard along the Po river and supports the
stationarity of the hydrological series during the period of interest (i.e., last five decades).»
Here lies the essence and usefulness of the
stationarity concept,
which seeks invariant properties in complex systems.»
Note that the whole purpose of that stochastic trend analysis (with plot) was to juxtapose your analysis (
which assumes
stationarity under the H0) with my analysis (
which doesn't assume
stationarity under the H0).
Future studies involving three (or more) time points in
which the parental behaviors, EF and academic outcomes were measured at different time points would permit the underlying assumptions of
stationarity and equilibrium to be tested formally (Cole and Maxwell, 2003).