To test the hypothesis that all treatments have exactly the same effect, the F-test's p-values closely approximate the permutation test's p-values: The approximation is particularly close when the design is balanced.

A value of h close to zero gives a good approximation to the slope of the tangent line, and smaller values ( in absolute value ) of h will, in general, give better approximations.

The categories are prototypes, and a patient with a close approximation to the prototype is said to have that disorder.

In function generators, this triangle wave may then be further shaped into a close approximation of a sine wave.

In 1824, Britain adopted a close approximation to the ale gallon known as the imperial gallon and abolished all other gallons in favour of it.

TfL owns the copyright to and exercises control over the New Johnston typeface, but a close approximation of the face exists in the TrueType computer font Paddington and the Gill Sans typeface also takes inspiration from Johnston.

We can use ƒ and g together to compute as close a rational approximation as we like to the real number they represent.

The modern cognates of original words have been used whenever practical to give a close approximation of the feel of the original poem.

Detailed computer analysis has been done to determine the ideal strategy, but this requires memorizing large tables ; a close approximation can be done with only a few rules of thumb: when playing in a casino and in doubt, a player can always ask that his hand be set house way.

With finite samples, approximation results measure how close a limiting distribution approaches the statistic's sample distribution: For example, with 10, 000 independent samples the normal distribution approximates ( to two digits of accuracy ) the distribution of the sample mean for many population distributions, by the Berry – Esseen theorem.

Timekeeping technologies such as the GPS satellites and Network time protocol ( NTP ) provide real-time access to a close approximation to the UTC timescale, and are used for many terrestrial synchronization applications.

Although apparently crude, this model is actually a close approximation of the reality of speech production.

For most string instruments and other long and thin instruments such as a trombone or bassoon, the first few overtones are quite close to integer multiples of the fundamental frequency, producing an approximation to a harmonic series.

This fundamental result enables the inverse square law of gravitation to be applied to the real solar system to a very close degree of approximation.

The Bresenham line algorithm is an algorithm which determines which points in an n-dimensional raster should be plotted in order to form a close approximation to a straight line between two given points.

The jail has been restored to a close approximation of its appearance in 1844 and is now owned by The Church of Jesus Christ of Latter-day Saints.

On the merger, Labov, Ash and Boberg ( 2005 ) note, " the stereotype of this merger is based only on a close approximation of some forms, and does not represent the underlying norms of the dialect.

Further, for interest accrued and capitalized overnight ( hence compounded daily ), continuous compounding is a close approximation for the actual daily compounding.

Many posters use B-series paper or a close approximation, such as 50 cm × 70 cm ; B5 is a relatively common choice for books.

The larger weight, the more important is a close approximation.

However, in certain applications it may be the filter's impulse response that is explicit and the design process then aims at producing as close an approximation as possible to the requested impulse response given all other requirements.

The resulting interpolation polynomial minimizes the problem of Runge's phenomenon and provides an approximation that is close to the polynomial of best approximation to a continuous function under the maximum norm.

This agrees with the observed orbits of planets and comets, to a reasonably good approximation, although if a comet passes close to the Sun, then it is also influenced by other forces, such as the solar wind and radiation pressure, which modify the orbit, and cause the comet to eject material into space.

Their cross-sections are sometimes very close to that of modern low-drag airfoils.

A non-Japanese video game featuring a dream-eating tapir also exists., and in the Manga of Masashi Kishimoto Naruto, the late character Danzo Shimura is capable of summoning a giant Baku to aid him in battle ( unlike many modern representations, the Baku that appears in Naruto is very close to the original japanesse description of a Baku ).

There are close cultural ties between modern day Canada and the United States, advanced in large part because both nations predominately speak English.

Though the unified reign of the First Qin Emperor lasted only 12 years, he managed to subdue great parts of what constitutes the core of the Han Chinese homeland and to unite them under a tightly centralized Legalist government seated at Xianyang ( close to modern Xi ' an ).

In the late 1960s and early 1970s researchers expanded the counter machine model into the register machine, a close cousin to the modern notion of the computer.

Today English speakers generally attempt something close to the modern Spanish pronunciation when saying Quixote ( Quijote ), as, although the traditional English spelling pronunciation pronouncing the name with the value of the letter x in modern English is still sometimes used, resulting in or.

Several modern authors such as Dorey have argued the opposite: that Agricola was in fact a close friend of Domitian, and that Tacitus merely sought to distance his family from the fallen dynasty once Nerva was in power.

ET, in turn, can now be seen ( in light of modern results ) as close to the average mean solar time between 1750 and 1890 ( centered on 1820 ), because that was the period during which the observations on which Newcomb's tables were based were performed.

The design dates to human prehistory, and daggers have been used throughout human experience to the modern day in close combat confrontations.

Though the rich usually led fashion, the increasing affluence of early modern Europe led to the bourgeoisie and even peasants following trends at a distance sometimes uncomfortably close for the elites — a factor Braudel regards as one of the main motors of changing fashion.

The city is close to the former late medieval / modern boundary between West Slavic and Germanic lands and it has a complex political history with periods of Polish rule, periods of German rule, and extensive self-rule, with two spells as a free city.

The airport sustains 76, 600 jobs directly and around 116, 000 indirectly in the immediate area, and this, together with the large number of global corporations with offices close to the airport, makes Heathrow a modern aerotropolis which contributes an estimated 2. 7 % to London's total GVA.

Next was the low-boy or low-hat, similar to a modern hi-hat stand, only with cymbals close to the ground.

It consists of a group of heroic tales dealing with the lives of Conchobar mac Nessa, king of Ulster, the great hero Cú Chulainn, the son of Lug, and of their friends, lovers, and enemies. These are the Ulaid, or people of the North-Eastern corner of Ireland and the action of the stories centres round the royal court at Emain Macha ( known in English as Navan Fort ), close to the modern town of Armagh.

Islands close to the shores of modern Ayrshire would have remained part of the Kingdom of Strathclyde during this period, whilst the main islands became part of the emerging Kingdom of Alba founded by Kenneth MacAlpin ( Cináed mac Ailpín ).

Aristotle moves from this unqualified discussion of justice to a qualified view of political justice, by which he means something close to the subject of modern jurisprudence.

The native language appears to bear a close resemblance to modern German.

DNA analysis carried out amongst the modern Li population indicate a close relationship with populations in mainland southern China and in particular Guangxi province.

More modern experiments have since reduced the possible value to a number very close to zero, about 10 < small >< sup >− 17 </ sup ></ small >.

The 1686 church law ( kyrkolagen ) of the Kingdom of Sweden ( which at the time included all of modern Sweden, Finland, and Estonia ) enforced literacy on the people, and by 1800 the ability to read was close to 100 %.

The photo shows the old building with the addition of the Elevator to the exterior of the structure with the close up of the modern art tower

Based on studies of their close relatives, the modern elephants, mammoths probably had a gestation period of 22 months, resulting in a single calf being born.

The sheer number of witnesses presents unique difficulties, but it also gives scholars a better idea of how close modern Bibles are to the original versions.