In statistics, the uncertainty in a statistic estimated from a set of samples commonly varies in inverse proportion to the square root
of the number of observations.
σw is the raw OLS estimate of the standard uncertainty, ν is the ratio
of the number of observations to the number of independent degrees of freedom, and σc is the corrected standard uncertainty.
If the errors are uncorrelated and of the same order of magnitude they will cancel to a significant degree, and the accuracy of the final result will improve proportionally to the inverse square root
of the number of observations.
«[it is] erroneous to suggest that the estimate of the global average ocean temperature is given by the instrument accuracy divided by the square root
of the number of observations (as you would if the observations were of the same quantity).»
It is therefore erroneous to suggest that the estimate of the global average ocean temperature is given by the instrument accuracy divided by the square root
of the number of observations (as you would if the observations were of the same quantity):
However, it turns out that the standard error is inversely proportional to the square root
of the number of observations.
Finally T - Statistics is calculated considering average alpha, slandered deviation of alpha and number of data points using the formula (Average Alpha x Square Root
of Number of observations) / Slandered Deviation of Alpha.
The logarithm
of the number of observations was used to reduce the impact of highly abundant genera.
Not exact matches
As I point out in the video, his
observations showed the masses
of clusters were too large, but the
numbers he got were far too high, and we now know they must have been in error (or, to be more fair, his uncertainties were too large).
«We'd love to proclaim these
numbers as definitive evidence
of a real downshift in the trend in claims, but it's even riskier than usual to put too much weight on single
observations at this time
of year,» says Shepherdson.
Among widely followed indicators, we can see some
of this in the declining
number of individual stocks achieving new 52 - week highs when the major market indices push higher, by the tendency for trading volume to become dull on advances and expand on declines (or what is a similar
observation, the tendency for the market to make little progress on heavy up - volume and substantial downside progress on light down - volume), and in the recent explosion
of insider selling.
In China, the Heisenberg uncertainty principle
of physics holds sway, whereby the mere
observation of economic
numbers changes their behavior.
The Auditor General has raised a
number of these issues in her «
Observations» on the federal government's financial statements but little progress has been made to date.
Considering this, coupled with my
observation that the
number of personal cars has significantly increased since my last visit to Beijing in 2007, I am wary
of the efficacy
of emission control at the consumer level.
But MacIntyre's
observation also shows why, for non-emotivists, such surveys must always issue in a complete non sequitur: one does not abrogate the Ten Commandments by pointing to the
number of murders in Detroit, or the divorce rate in Reno, or the decline in church attendance in Peoria.
The
number of observations supporting evolution is overwhelming.
Another
observation from such workshops: the
number of laypeople in attendance slowly but surely is overtaking the
number of clergy.
It'd be easy to chalk up Porter's
observation to the increasing
number of so - called «nones.»
Carl makes a
number of gritty
observations in the thread that deserve a separate post.
A Guardian editorial in May described the decline in
numbers and influence
of Christianity and affirms that Christianity gave us «the idea that people have some rights just because they are human, and entirely irrespective
of merit, [it] certainly isn't derived from
observation of the world.»
A
number of observations are called for at this juncture.
A
number of modern physicists hold that events at the sub-atomic level are not only indeterminable or unpredictable by scientific
observation, but that they are also unpredictable even in principle.
Not only does characterization involve a great deal
of interview and
observation, it also concludes with a
number of attempts at narrative interpretation.
A
number of observations counter his suppositions and provide the sort
of evidence regarding «cultural relevance» that Easum would have every reason to regard as pertinent.
My first
observation is that you fumed over a particular distinction that the articles supposedly did not acknowledge, but the fact is the distinction is acknowledged right here and over 17 other places I counted and
numbered with pen on my printed pages
of the article.
The argument against neo-Darwinism begins from the undoubted
observation that many features
of living beings, like the bacterial flagellum or the human eye, are the result
of not one genetic mutation but
of a large
number of such mutations.
My
observations will prove itself to be right, judging by the
number of atheists increasing in
numbers over the last half an hour babbling about religions.
I've always been interested in the experts who use
numbers to back up a lot
of their sports
observations and there's no shortage
of it at this conference.
However, keen
observation of past cases have revealed that there are a
number of contributing factors, the pollinating flowers that provoke this particular reaction, and we think we're in a position to predict precisely where it's going to happen next.
I also agree with Phils
observation regarding the
number of games he has played in the first team without setting the world alight.
The
number of phone interviews needed was based on a «best guess» estimation from previous
observation and chart review looking for desired behaviors performed by residents.
«The goal here is to drive those
numbers down through rules changes, culture changes, protocol changes, through greater
observation and treatment over a longer term period
of time.»
While one would generally agree with the benefits
of breastfeeding children and other
observations made in the write up, the challenge is how to make arrangements that this Godly fluid is available to maximum
number of children.
SMMIS contains over 500,000
observations, so even though fewer than 2 % had a planned home birth, the absolute
number of planned home births was large enough to give reasonable power to statistical tests.
ClickZ's Kate Kaye provides the latest installment, beginning with her own
observations about what mattered in digital politics in the past year and moving on to extended quotes from a
number of online politics observers (including e.politics and plenty
of friends in the field).
She made the basic arithmetical
observation that none
of this was deliverable while we were stuffing prisons full
of more and more people and cutting staff
numbers.
As the
number of observations increases, so does the risk
of false positives (type I errors).
But there are a
number of problems with these
observations as a way
of looking at the results
of this year's local elections.
Although there is no direct relation between election
observation and successful elections an independent observer mission has a
number of benefits.
You get the idea: it's an extension
of the classic
observation that someone needs to see an advertisement X
number of times (I've always heard «five») before it registers.
Advising Ghanaians on how simple
observation of traffic rules could save lives on the road during the season, the governing NDC's Klottey Korle parliamentary aspirant, whose eligibility is as a candidate is being challenged in court by incumbent Nii Armah Ashitey, wrote on her Facebook wall that: «I stopped counting the
number of vehicles that jumped red lights this afternoon.
Cuomo's proposal seeks to limit the
number of teachers who receive high ratings under the system, since the subjective
observations component is seen as an area where administrators have the opportunity to inflate teachers» scores.
The team made the
observations using LRO's LEND instrument, which detects hydrogen by counting the
number of subatomic particles called neutrons flying off the lunar surface.
They focused on the period starting June 3, 2010, when the riser pipe was cut at the wellhead by engineers, until July 15, 2010 — a timespan when a large
number of scientific
observations were collected nearby in the air and ocean.
Since the 1960's scientists thought that only in permanently shadowed areas in craters near the lunar poles was it cold enough to accumulate this volatile material, but recent
observations by a
number of spacecraft, including LRO, suggest that hydrogen on the moon is more widespread.
Paula Stephan, a labor economist at Georgia State University in Atlanta and a member
of the next generation committee, has described these arrangements and their effects in exacting detail in her book, How Economics Shapes Science, and a
number of the previous reports and studies concur with her
observations.
They looked at hourly
observations of sea level between 1948 and 2008, which confirmed that the
number of extreme tides followed peaks in the solar cycle (Journal
of Geophysical Research Atmospheres, DOI: 10.1029 / 2009JD013114).
A large
number of additional
observations are broadly consistent with the observed warming and reflect a flow
of heat from the atmosphere into other components
of the climate system.
Before the end
of the year, concerned citizens will be able to monitor the streaming video footage for illegal crossers and even call a toll - free
number to report their
observations to local law enforcement officials.
Vanderburg and his colleagues made additional
observations using a
number of ground - based facilities: the 1.2 - meter and MINERVA telescopes at Whipple Observatory, the MMT, MEarth - South, and Keck.