What are degrees of freedom in statistical mathematics. explain in ...
6 answers - Aug 3, 2006
Top answer: The degrees of freedom are the number of extra numbers you need to specify your data completely, after you have provided a summary of your data.degree of freedom (mathematics and statistics) -- Britannica Online ...
www.britannica.com/EBchecked/topic/218512/degree-of-freedom
In mathematics,
any of the number of independent quantities necessary to express the
values of all the variable properties of a system. A system composed of a ...........
Nature is comprised of many components. College textbooks describe many of these facets of existence --> biology, physics, chemistry, math, geology, biochemistry,etc.
If Nature has a problem in one of these areas ...it may use humanoids to express that conflict.
Many authors expressed that concept ...of human messenger vehicles on EARTH LAB ...... EARTH Theater ...EARTH equations Theater of WAR.
2 major authors clearly explained the situation.
Around year 1600
All the world's a stage - Shakespeare Quotes
www.enotes.com › Literature › Shakespeare › Shakespeare Quotes
Shakespeare Quotes - All the World's a Stage. ... And all the men and women merely players; They have their exits and their entrances, ... Shakespeare wrote As You Like It. Around year 1865
Who Stole the Tarts? | Alice's Adventures in Wonderland, by Lewis ...
sabian.org/alice_in_wonderland11.php
Alice's Adventures in Wonderland, by Lewis Carroll: Who Stole the Tarts? ... Here one of the guinea-pigs cheered, and was immediately suppressed by the ...Here we look at the math and bio-math dimensions of Nature and the EARTH geography area of a major math battle .....the 1989 battle of Tiananmen Square, China.
Thus we have in 1989.......the Shakespeare performance in China
year 1600 ---> All the World's a Stage. ... And all the men and women merely players; They have their exits and their entrances
year 1989 ---> All the World's a Stage at Tiananmen Square . ... And all the men and and women merely players (Chinese university students); They have their exits and their entrances (the entrance of the Chinese ARMY on JUNE 4 ,1989 into the Tiananmen Square WORLD STAGE).
Humans are symbolic processors. We process language symbols. In the
geography country of China, Asia that would comprise the Chinese
language, arithmetic, geometry, philosophy, history, etc.
Humans are subsets embedded within the many dimensions of Nature and Nature's multi-faceted FORMATS of expression.
Tiananmen Square
www.infoplease.com/spot/tiananmen.htmlA massive demonstration for democratic reform, begun on Tiananmen Square by Chinese students in April, 1989 .........
Humans are subsets embedded within the many dimensions of Nature and Nature's multi-faceted FORMATS of expression.
www.infoplease.com/spot/tiananmen.htmlA massive demonstration for democratic reform, begun on Tiananmen Square by Chinese students in April, 1989 .........
en.wikipedia.org/wiki/
Hotelling's_T-squared_distribution
In statistics Hotelling's T-squared distribution is important because it arises as the distribution of a set of statistics which
are natural generalisations of the .
Let's look at the data sample of Nature's. Nature's social engineering experiment was comprised of students and other groups in China, Asia in year 1989
Beijing Hotel - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Beijing_HotelThe Raffles Beijing Hotel, occupies two of the former blocks of the Beijing Hotel ... Many foreign journalists were based in the hotel during the spring of 1989.
en.wikipedia.org/wiki/Beijing_HotelThe Raffles Beijing Hotel, occupies two of the former blocks of the Beijing Hotel ... Many foreign journalists were based in the hotel during the spring of 1989.
We see that the EARTH LAB identifiers HOTEL + humanoid earthLING
groups + Tiananmen Sqaure provides an ideal geography location with
proper noun identifiers for Nature. Nature sees the
symbolic/conceptual data stream ----> HOTEL + LING + Tiananmen
Square --> thus giving Nature the ideal pointer to HOTELLING's
T-square statistical TEST setting.
The event ..... had various issues and people involved.
In April 1989, triggered by the death of deposed Communist Party General Secretary Hu
Yaobang, a liberal reformer, mass gatherings and protests took place in and around Tiananmen Square.[5] At its height, some half a million protesters assembled there. The demonstrations, consisting of local working residents as well as students,[6] called for government accountability, freedom of the press, freedom of speech, and the restoration of workers' control over industry.[7] Peaceful protests also occurred in other cities, such as Shanghai and Wuhan, while looting and rioting broke out in Xi'an and Changsha.[8]
In April 1989, triggered by the death of deposed Communist Party General Secretary Hu
Yaobang, a liberal reformer, mass gatherings and protests took place in and around Tiananmen Square.[5] At its height, some half a million protesters assembled there. The demonstrations, consisting of local working residents as well as students,[6] called for government accountability, freedom of the press, freedom of speech, and the restoration of workers' control over industry.[7] Peaceful protests also occurred in other cities, such as Shanghai and Wuhan, while looting and rioting broke out in Xi'an and Changsha.[8]
The
movement lasted for about seven weeks. The government initially
attempted to appease the protesters through concessions, but a
student-led hunger strike galvanized support for the demonstrators around the country. Ultimately, Deng Xiaoping and other party elders resolved to use force to suppress the movement.[9] Party authorities declared martial law on 20 May.  Thus we see the concepts that led up to the JUNE Fourth incident. Nature's social engineering INTELLECT and it's bio-math tolerance ellipse reached some breaking point ...and the Chinese ARMY was called in on JUNE, 1989. The Tiananmen Square protests of 1989, also known as the June Fourth Incident in Chinese,[1] were popular demonstrations crushed by China's army on 4 June 1989, when China's leaders ordered the army to force the protesters out of Tiananmen Square in Beijing. On their way to the Square, soldiers killed protesters in unknown numbers, and the crackdown became known as the Tiananmen Square Massacre or the June 4 Massacre  www.history.tiananmen-square-massacre-takes-place On June 4, 1989, however, Chinese troops and security police stormed through Tiananmen Square, firing indiscriminately into the crowds of protesters. Turmoil ... Massacre in Tiananmen Square news.bbc.co.uk/on/june/4/.../2496277.stm1989: Massacre in Tiananmen Square. Several hundred civilians have been shot dead by the Chinese army during a bloody military operation to crush a ... We
have the empirical data of the bio-math EVENT, that provides CLUES
about the Earth and its cities and populations .....as elements of
sample space. Thus, we see the statistical TESTING done by NATURE as
it reviews society quality control. This concept is used in the manufacturing of widgets on a production line...say 10,000 widgets a day. For every batch of 1,000 widgets.... a sample of 20 widgets is examined for quality control ....... and then if ERRORS are detetcted .... decisions are made whether to accept or reject the batch of 1000 widgets. Nature's bio-chemistry engineers and language engineers manufactured the human, the Central Nervous System symbolic processor, and the foundations of thought and logic.. Nature is very inetrested in the quality control. Thus Tiananmen Square is one example of Nature's TEST. Let's summarize the MATH CLUES and their relationship to the 1989 situation. CLUE ---> EARTH geography location LINK to symbolic life......math equation identifier NOUNS EarthLINGS ---> ling's T-squared distribution - en.wikipedia.org/wiki/Hotelling's_T-squared_distribution en.i/ Beijing Hotelling's_Tiananmen-squared_distribution Beijing Hotelling's_Tiananmen-------red_blood distribution on June 4,1989 en.wik Hotelling's_T-squared_distribution In statistics Hotelling's T-squared distribution is important because it arises as the distribution of a set of statistics which are natural generalisations of the ... CLUE ---> key word student ........ their involvement in the TEST www.itl.nist.gov/div898/handbook/pmc/section5/pmc543.htmHotelling's T squared. Hotelling's T2 distribution, A multivariate method that is the multivariate counterpart of Student's-t and which also forms the basis for certain sites.stat.psu.edu/~ajw13/stat505/fa06/11.../01_2sampHotel.htmlNow we are ready to define the Two-sample Hotelling's T-Square test statistic. ... this test statistic will be approximately chi-square distributed with p degrees of sites.stat.psu.edu/~ajw13/stat505/fa06/11.../01_2sampHotel.htmlNow we are ready to define the Two-sample Hotelling's T-Square test statistic www2.statistics.com/ Hotelling's T-square is a statistic for a multivariate test of differences between the mean values of two groups. The null hypothesis is that centroid s don't differ .. CLUE -> Centroid --> applied math --> Central Communist Party of China Hotelling's T-Square is the most common, traditional test where there are two ... The T-Square result will still have the same F value, degrees of freedom, and ... F-test shows the centroid (vector) of means of the dependent variables is not the ... Thus we see an interesting puzzle about our relationship with Nature's mathematics and statistics dimensions. Below, a display of a IRON TANK with a vector of means ...nasty artillary cannon ......messages for THINK TANK  degree of freedom (mathematics and statistics) -- Britannica Online ...degree of freedom (mathematics and statistics)www.britannica.com/degree-of-freedom In mathematics, any of the number of independent quantities necessary to express the values of all the variable properties of a system. A system composed of a ........... Add Comment |