So, for example, you don't purposefully confuse matters with the possibility of there being 1,000 s of possible
null hypotheses when there is one simple null hypothesis that is sufficient to challenge the credibility of a theory.
«I particularly object to the testing of sharp
null hypotheses when there is no plausible basis for believing the null is true.
(hint statistical power is the probability of rejecting
the null hypothesis when it actually is false).
Scenario (ii) can be ruled out if the statistical power of the test (the probability of rejecting
the null hypothesis when it is false) is high (e.g. 95 %).
Those with a good grasp of statistics will know that is becase the test has very little statistical power (the probability of rejecting
the null hypothesis when it actually is false).
Not exact matches
Just that
when they do split, the
null hypothesis that the dissenters are independently randomly determined isn't supported by observation.
Even
when a seemingly perfect opportunity for a real - life experiment presents itself, as it did recently to criminologist David McDowall, the
null hypothesis is often all that a criminologist is left with.
WHEN extreme weather strikes, such as the floods in Pakistan, the
null hypothesis is to assume that humans have not played a role, then figure out if they did.
When it comes to statistical significance and hypothis testing, I do not recall whether the trends have been tested against a
null hypothesis, but the short - term variability is quite high compared to the trend in the WM2003 case and the series is short, so I doubt the «trend» is significant (just by eyeballing).
That is,
when the test is designed to result in 5 % false rejections of the
null hypothesis, it may result in a few more.
When we expect the
null hypothesis will not be rejected even if it's wrong, what conclusions can be drawn from a result which fails to reject the
null?
When I wrote «rejection of
null hypotheses» I was referring to how frequently a statistically significant result was obtained.
The scientific issues on climate change are such that very few scientists would even mention
null hypotheses except,
when testing specific details.
Well, largely because it is the
null hypothesis, or rather, because humans have a tendency for messing up things they don't understand by acting too quickly (we have tons of economic and political examples for this), and as a general rule it is usually safer to only make small changes and only
when we're pretty sure we're right.
The natural way to read «
null hypothesis» is that it is a
hypothesis described by the adjective «
null», particularly
when it is paired with «alternative
hypothesis».
In general, I would support the ideal situation of complete transparency in science, though I also recognize that it is not often practical in the real world, and I've had headaches before getting data in a user - friendly format --- climate related or otherwise (of course, I would never support the
null hypothesis of manipulation
when such data / code is unavailable or not in a friendly format).
Considering that a
null hypothesis is usually couched in a frequentist setting, I find it not really surprising that eyebrows are reaised
when we try to explain it by turning to the epistemic mode.
When he says that AGW should be the new
null hypothesis, he means that unless skeptics can «prove» the contrary, governments should formulate policy based on AGW, if not CAGW.
It is certainly more nuanced than a simple «let's reverse the no - human - influence
null hypothesis», and probably more worth addressing
when Dr. Curry writes her own piece on the subject.
Otherwise, a «scientist» could choose a
null hypothesis that was so off base that it could be rejected
when compared to practically any
hypothesis.
Hansen BE: Inference
when a nuisance parameter is not identified under the
null hypothesis.
However, if /
when, say David's solar
hypothesis offers a better explanation than the worn out CO2 bogyman, then that is surely a more coherent explanation of the
null hypothesis, no?
Is it honest to keep harping on the pause
when any competent statistician can show you that the uncertainty in your measurements prevents you from eliminating either the
hypothesis or the
null.
Kevin Trenberth lays it on the line
when he says the
null hypothesis should be changed to AGW is real and dangerous; this seems to be the implicit
null hypothesis of the IPCC.
You claim: «Trenberth lays it on the line
when he says the
null hypothesis should be changed to AGW is real and dangerous.»
When crossing the street is the «
null hypothesis» that nothing will happen so you just step out regardless?
In other words,
when do we revert to the
null hypothesis that man made CO2 is not causing warming?
What is fascinating is
when certain climate scientists and their supporters defend lying, palying with data, ratinolizing secrecy with data, distorting the
null hypothesis, etc..
See e.g. http://www.aip.org/history/climate/co2.htm
When you look at the history of climate science, the
null hypothesis actually was that whatever humankind would dump in the atmosphere couldn't possibly change the climate (or affect our health).
Or just read in some statistical textbook about type I and type II errors
when statistical testing is done, before you dispute the statement that a failure of rejecting the
Null -
hypothesis doesn't confirm the
Null -
hypothesis.
Since
when did the
null hypothesis require advocates?
The more data we have, the lower beta will be, becuase the more evidence we have the more likely we will be able to show that the
null hypothesis is false
when it actually is false.
The point is that the test for statistical significance over such a short time span does not have useful statistical power — there is insufficient data to be able to reject the
null hypothesis even
when it is false.
Like many
hypothesis tests,
when testing a coin or die or unbiasedness we are using a
null hypothesis that we know from the outset to be false, so if we roll the die enough we will eventually reject the
null hypothesis.
It appears that few really understand statistical significance, and fewer still understand statistical power — however
when you are arguing for the
null hypothesis it is power that matters, not significance.
Obviously, the AGW True Belivers have thrown in the intellectual towel
when Trenberth says the
null hypothesis of global warming should now be reversed, thereby placing the burden on humanity to prove that it is not influencing climate.
They are arguing for the
null hypothesis used to establish a non-zero trend,
when THEIR
null hypothesis should be that warming has continued at the previous rate.
When you are «winning the argument» (i.e. the data out there are all supporting your premise) there is no need to try to redefine the «
null hypothesis» in your favor.
Manacker says:»
When you are «winning the argument» (i.e. the data out there are all supporting your premise) there is no need to try to redefine the «
null hypothesis» in your favor.»
Basically
when we reject the
null hypothesis we risk what is called a type 1 error.
So you can prove 99 %, 100 %, or anything you want; but
when you suspend the
Null Hypothesis then all science goes out the window, and falls into radicalism....
A type 1 error occurs
when the
null hypothesis is true but we reject it.
There is also such thing as a type 2 error — this is
when the
null hypothesis is false and we decide not to reject it.
If the trends are meaningless at 8 years, they are most likely meaningless at 30 years also, as well as 800 years, 8000 years etc. etc; you have to take the scaling behaviour into account
when forming the
null hypothesis (and, unlike Gavin's illustrations, make sure you are not restricting the number of degrees of freedom at longer scales by applying the test on the same length of data!)
Tamino pointed out that the Phillips - Perron test does reject the
null hypothesis and
when I checked this I got the same result.
The point about statistical significance may be restated as saying that the variability of temperature about the upward trend is sufficiently great that 15 observations is not quite enough to reject the
null hypothesis of no change with 95 per cent confidence (
when I did stats, the standard number for a decent - sized sample was 30 observatons, but the trend in temperatures is strong enough that we don't need so many).
But in most realms of scientific inquiry, theories are tested against the
null hypothesis and accepted only
when there is sufficient unambiguous evidence to reject it.