Applying the framework of Delworth and Manabe (1988) to the more complex CESM system, we compare simple red noise
null hypothesis models for soil moisture variations at various depth levels with an ensemble of perfect model forecasts conducted with the CESM.
Approximate RE significance levels can then be determined, assuming this process represents an appropriate
null hypothesis model.
[If this statistic is > 0 then the model has greater skill than
the null hypothesis model.]
Not exact matches
To test this
hypothesis, the researchers crossed J20 transgenic mice (a common mouse
model of Alzheimer's) with caspase - 2
null mice (mice that lack caspase - 2).
David Bohm's own
null hypothesis was that determinism was a fact which was explained by «hidden variables», but this idea was later overthrown by John Bell and confirmed by Alain Aspect to become the now accepted
null hypothesis of the Standard
Model.
We can not reject the
null hypothesis of continuation of the simple pre-1988 trend based on evaluation of
model performance through 2005.
So a reasonable
null hypothesis is that reducing the spatial area in which such clouds reside will result in a near zero feedback, with the residual probably quite
model and cloud property dependent.
I note in passing the Wiley site is currently down for maintenance so Hargreaves is not accessible — however from the diagram that can be seen it looks as though the
null hypothesis was «no change in temperature» rather than showing it «had substantial skill compared to any naive
model.
While I am no scientist, this reluctance to agree to what a
null hypothesis should be for AGW / CAGW is to me no different from the defense of climate
models by claiming they do not need to be validated, or claims that peer review of the published literature does not need to ensure the correctness of the article being published.
That may inform the modification of relationship within any particular
model but the expression «
null hypothesis» and «burden of proof «seem inappropriate to describe this paradigm.
Despite their obvious limitations, climate
models will still be considered reliable until the
null hypothesis is invalidated.
The
null hypothesis that the climate can be
modelled is predictable from known parameters is that it is not, and the
null hypothesis that it is not predictable is that it is.
In a simple statistical
model, you take a
null hypothesis, «there is no significant difference between these two sets of numbers.»
3 - proper weighing, with justifications, must be given to all (or most) of the internal and external forcings, with a clear understanding of how each affects the climate equilibrium 2 - this will naturally follow 3 and 4 - thorough
model validation being a must 1 - predictions must be verified with full
null hypothesis in place.
Fourth, the
null hypothesis (that observed modern climate variation is due to natural causes) is NOT tested by those computer
models.
If you can not distinguish a
model from the
null hypothesis what is left of the scientific method?
Scientists proposing catastrophic majority anthropogenic global warming
models (a.k.a. «Climate change») bear the burden of proof of providing clear robust evidence supporting validated
model predictions of anthropogenic warming with strong significant differences from this climatic
null hypothesis.
I think many Climate Scientists assume the
models are correct and the
null hypothesis is wrong but hard to disprove, and so that step is bypassed.
Koutsoyiannis (2011) showed that «an ensemble of climate
model projections» of (realistic) global climate
models are statistically likely to be within this climatic
null hypothesis.
How do climate shifts factor into the
null hypothesis and why am I repeatedly asked for a deterministic
model of Hurst — Kolmogorov dynamic processes?
it is important to recognize that an inherent difficulty of testing
null hypotheses is that one can not confirm (statistically) the
hypothesis of no effect.While robustness checks (reported in the appendix), as well as p values that never approach standard levels of statistical significance, provide some confidence that the results do not depend on
model specification or overly strict requirements for statistical significance, one can not entirely dismiss the possibility of a Type II error.
It is true that you can look at the data and ponder a «
null hypothesis» of «no change» and then fit a
model to kill off this straw man.
Arguing over the start date for your linear
model, or the use of «variance corrected means» (whatever that means) over raw data or the acceptance or rejection of a
null hypothesis is a joke.
So if we want to quantitatively distinguish anthropogenic forcing from the
null hypothesis of natural forcing, then we need to add a bit of red noise and compare noisy data with
models + / - sigma.
For example, «If our
models are correct, we can reject (p less than 5 %) the
null hypothesis that humans have caused less than 50 % of the warming observed since the mid-20th-century.
One thing that they (sadly) did not do is a formal computation of sigma (from the data) relative to the mean that would permit us to apply an actual
hypothesis test to the
model result with the
null hypothesis «this
model is correct».
These authorities — Weitzman, Taleb, Popper, and earlier, Arthur Dempster's DS
model of evidence, IPCC confidence levels, non-objective Bayesian decision making, «subjective probabilities», and undefinable
null hypotheses — are subjective, irrational, and incoherent.
A non-perfect
model will diverge and as time goes by, as the number of points increases, one can accept or refute the
null hypothesis.
Honestly, the p - values should be generated by constructing a Monte Carlo ensemble of
model results, per
model, and looking at the actual distribution of (and variance of, autocorrelation of, etc) the ensemble of outcomes where the outcomes ARE iid samples drawn from a distribution of
model results, and then use a correctly generated mean / sd to determinea p - value on the
null hypothesis.
This means you are mostly selecting «the most usefully approximately correct»
models — and that's a whole different ball game from
null hypothesis testing.
That is the
null hypothesis until emperically (not computer
models) shown otherwise.
These high - end
models may not always be correct of course, but I think they provide an appropriate
null hypothesis that must be critically examined in the light of observational constraints, possible missing physics, etc..
The theoretical foundations of
model selection are often poorly understood by practitioners of
null hypothesis testing, and even many proponents of Chamberlin's method may not fully appreciate its historical basis.
Needless to say, the «
null hypothesis that the observed and
model mean trends are equal,» is rejected: statistically, there is but a 1 in 500 chance these GCMs are actually looking at the same planet we live on.
The warmest position is based on the exact opposite of the
null hypothesis — that is, co2 drives climate change and by golly, I will build
models to prove it!
Reality has falsified AGW theory: the «
null hypothesis that the observed and
model mean trends are equal,» have been rejected.
Moreover, simulations were more than four times higher than actual over the last 15 years — statistically, there is but a 1 in 500 chance this can happen so needless to say, the «
null hypothesis that the observed and
model mean trends are equal,» is rejected.
So it's a one - tailed comparison between
model & data, because your
null hypothesis is a strong positive correlation (at least as strong as between climate data and socioeconomic data), not a zero correlation.
SUMMARY OF TECHNICAL SKILLS * Data Science / Statistics - Statistics I: Machine Learning / Data Mining / Predictive
Modeling, Time Series, Regressions, - Statistics II / Statistical programming languages: SAS, R, Spark, Python (Numpy, Pandas, IPython,), Scala, MatLab - Database querying language: SQL - Statistics III:
Null hypothesis, P - Value, Maximum Likelihood Estimators, Confidence Intervals,.
A non - significant χ2 makes a good fit
model and could result rejection of the
null hypothesis.