While the analysis of variance reached fruition in the 20th century,

While the first one may be seen as the variance of the sample considered as a population, the second one is the unbiased estimator of the population variance, meaning that its expected value E is equal to the true variance of the sampled random variable ; the use of the term n − 1 is called Bessel's correction.

While this is at variance with the depictions by Plato and Xenophon, two of Socrates ' students, it is plausible that Aristophanes ' parody of Socrates is more accurate than their panegyrics.

The reasoning for this variance is as follows: While Titus may have been the norm in the epistles, a Gentile not converted to Judaism, Paul nevertheless made an exception for Timothy, whom he circumcised and brought under the Covenant, probably because though Timothy's father was Greek, his mother was Jewish.

While intentional gain twists are rare, due to manufacturing variance, a slight gain twist is in fact fairly common.

While the inclusion of a covariate into an ANOVA generally increases statistical power by accounting for some of the variance in the dependent variable and thus increasing the ratio of variance explained by the independent variables, adding a covariate into ANOVA also reduces the degrees of freedom.

While the interpretations of the U. S. Supreme Court are binding on all federal courts interpreting the U. S. Constitution, there is some variance in the specifics from state to state, for two reasons.

While the taste is the same for all the hiyamugi noodles, the slight color variance can add a touch of visual interest.

While the particular specification of " optimal " here — requiring unbiasedness and measuring " goodness " using the variance — may not always be what is wanted for any given practical situation, it is one where useful and generally applicable results can be found.

While this system ensures that there will always be a mating couple when two animals of the same species are present, it could potentially decrease genetic variance in a population, for example if the females remain in a single male's territory.

While S.K. did not like Dylan Thomas, I liked his poems very much, but I made the mistake of telling Dylan Thomas so, whereupon he said to me, `` I suppose you think you know all about me ''.

While most of his beliefs were still unsettled, he knew that he did not believe in killing.

While the interpretations that have been given are inferences only, they gain support from such comments as the following, which was made by one of the Kohnstamm-negative subjects who did not, on the first trial, perceive the tilt illusion.

While population at Fort Garry increased rapidly, from 2,417 in 1831 to 4,369 in 1840, economic opportunities did not increase at a similar rate.

While Republicans were discouraged, Democrats were energized and did especially well in Pennsylvania, Ohio, Indiana, and New York.

While Wesley freely made use of the term " Arminian ," he did not self-consciously root his soteriology in the theology of Arminius but was highly influenced by 17th-century English Arminianism and thinkers such as John Goodwin, Jeremy Taylor and Henry Hammond of the Anglican " Holy Living " school, and the Remonstrant Hugo Grotius.

While he was heir-apparent — 1865 to 1881 — Alexander did not play a prominent part in public affairs, but allowed it to become known that he had ideas which did not coincide with the principles of the existing government.

While services in the Temple in Jerusalem included musical instruments ( 2 Chronicles 29: 25 – 27 ), traditional Jewish religious services in the Synagogue, both before and after the destruction of the Temple, did not include musical instruments given the practice of scriptural cantillation.

While the peace after the 1656 war did not change the status quo, the fourth Peace of Aarau in 1712 brought about a reorganization of power relations.

While it is assumed that the younger Cuyp did work with his father initially to develop rudimentary talents, Aelbert became more focused on landscape paintings while Jacob was a portrait painter by profession.

While the greatest players of the time, among them Alekhine, Emanuel Lasker and Capablanca, clearly did not allow their play to be hobbled by blind adherence to general concepts that the center had to be controlled by pawns, that development had to happen in support of this control, that rooks always belong on open files, that wing openings were unsound — core ideas of Tarrasch's chess philosophy as popularly understood — beginners were taught to think of these generalizations as unalterable principles.

While the Dines anemometer had an error of only 1 % at it did not respond very well to low winds due to the poor response of the flat plate vane required to turn the head into the wind.

While he told staff that he had bumped into a suitcase, the media briefly reported it as a sign of cutaneous anthrax and a possible link to the 2001 anthrax attacks, although FBI later addressed the rumors stating that " Exhaustive testing did not support that anthrax was present anywhere the hijackers had been.

While Morality in Media claimed that the show inspired Settle's actions, the case's prosecutors did not.

" While Disraeli did not argue that the Jews did the Christians a favour by killing Christ, as he had in Tancred and would in Lord George Bentinck, his speech was badly received by his own party, which along with the Anglican establishment was hostile to the bill.

While his finances were always precarious, he did not live and die in poverty as was the common myth.

While his scheme largely ignores soil and sun exposure, Holdridge did acknowledge that these, too, were important factors in biome determination.

While he did well in Las Vegas and other areas, and made records for the Kapp Records label, he was largely a forgotten figure — even though inducted into the Country Music Hall of Fame in 1968.

While modern systems distinguish between offences against the " State " or " Community ", and offences against the " Individual ", the so-called penal law of ancient communities did not deal with " crimes " ( Latin: crimina ), but with " wrongs " ( Latin: delicta ).

While substantial water was detected spectroscopically, it was not as much as predicted beforehand, meaning that either the water layer thought to exist below the clouds was thinner than predicted, or that the cometary fragments did not penetrate deeply enough.

While their numbers did not pose a serious threat to the government, they scared the Rump into action and a Treasons Act was passed against them in 1649.

While the six African governments involved in the war signed a ceasefire accord in Lusaka in July 1999, the Congolese rebels did not and the ceasefire broke down within months.

While the draugr certainly preferred to be active during the night, it did not appear to be vulnerable to sunlight like some other revenants.

While it is possible through skillful play to minimize the house advantage, it is extremely rare that a player has sufficient skill to completely eliminate his inherent long-term disadvantage ( the house edge ( HE ) or house vigorish ) in a casino game.

While they can be considered completely independent intellectual pursuits, increasingly scholars are interested in the areas of critique where the two overlap.

While it is nearly impossible to remove fat completely from the diet, it would also be unhealthy to do so.

While this remains an unsolved problem for astronomers, it does not necessarily mean that the Lambda-CDM model is completely wrong, but rather that it requires further refinement to accurately reproduce the population of galaxies in the universe.

While neither of these theorems can be proven in a completely effective manner, each one can be effectively obtained from the other.

While almost none of this math goes beyond the basic functions of addition, subtraction, multiplication, and division ( certain obscure and completely optional situations may call for a logarithmic function ), this can seem daunting to newcomers.

While it was not a completely Communist document, its Communist imprint was strong enough that Beneš refused to sign it.

While MPEG-2 is the core of most digital television and DVD formats, it does not completely specify them.

While Molotov cocktails may be a psychologically effective method of disabling armoured fighting vehicles by forcing the crew out or damaging external components, most modern tanks cannot be physically destroyed or rendered completely inoperable by Molotov cocktails ; only " disabled ".

While more powerful and with seemingly more advanced graphics, the Virtual Boy was not intended to replace the Game Boy in Nintendo's product line, as use of the system requires a steady surface and completely blocks the player's peripheral vision.

While this seems restrictive at first, it allows the code that does the rendering to be completely independent of the operating system it is running on, allowing cross-platform development.

While there is a short treatise on yoga in the medical work called the Carakasaṃhitā ( by Caraka ), towards the end of the chapter called śārīrasthāna, it is notable for not bearing much resemblance to the Yoga Sūtras, and in fact presenting a form of eightfold yoga that is completely different from that laid out by Patañjali in the Yoga Sūtras and the commentary Yogasūtrabhāṣya.

While its use for communicating information has been completely superseded by electronic systems, pneumatic tubes are still widely used for transporting small valuable objects, or where convenience and speed in a local environment is useful.

While the album is almost completely guitar-driven, it is mostly devoid of any conventional sounding guitar solos, a conscious decision made by Lifeson during the writing process.

While the Rwandan Civil War was a complex sequence of violent episodes which included killers and victims on all sides, most historians agree with RPF's assertions that the 1994 genocide was a deliberate, methodical Hutu campaign to completely exterminate the Tutsis, and that plans for the genocide were well known in advance by European, American, and UN officials.

While Spock makes it clear that the events during the period of Surak are well documented (" The Savage Curtain "), he is completely uncertain in regard to the origin of the Romulans: " If the Romulans are an offshoot of my Vulcan blood -- and I think this likely -- then attack becomes even more imperative.

While Marge has learned to cope with her addiction, it has never completely disappeared and remains an underlying problem that is referenced occasionally on the show.

While C4, formerly known as EXPO ( Extended Range Poseidon ), is just an improved version of Poseidon C-3 missile, Trident II D-5 has completely new design ( although with some technologies adopted from C-4 ).

While many buildings were pillaged, burned, or destroyed by the Viking raids, ecclesiastical sources may have been overly negative as no city was completely destroyed.

While many fabrics are made completely of cotton, some materials blend cotton with other fibers, including rayon and synthetic fibers such as polyester.

While the status of the Asiatic lion ( P. l. persica ) as a subspecies is generally accepted, the systematic relationships among African lions are still not completely resolved.

While those who have expressive aphasia tend to retain good spoken language comprehension, other types of aphasia can render patients completely unable to understand any language at all, unable to understand any spoken language ( Auditory verbal agnosia ), while still other types preserve language comprehension, but with deficits.

While this is the result when the electrons contributing to the current occur completely randomly, unaffected by each other, there are important cases in which these natural fluctuations are largely suppressed due to a charge build up.

While the film is neither " the full story of Lawrence's life or a completely accurate account of the two years he spent fighting with the Arabs ," Korda argues that criticizing its inaccuracy " misses the point ": " The object was to produce, not a faithful docudrama that would educate the audience, but a hit picture.