{"id":2066,"date":"2020-08-24T19:30:19","date_gmt":"2020-08-24T19:30:19","guid":{"rendered":"http:\/\/region12.herbzinser07.com\/dir\/science07\/?p=2066"},"modified":"2020-08-24T19:30:19","modified_gmt":"2020-08-24T19:30:19","slug":"university-students-1989-math-battle-over-function-degrees-of-freedom","status":"publish","type":"post","link":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/2020\/08\/24\/university-students-1989-math-battle-over-function-degrees-of-freedom\/","title":{"rendered":"University students – 1989 MATH battle over function degrees of freedom"},"content":{"rendered":"

RD-blog-number-2571 by Herb Zinser<\/span><\/p>\n

University students –<\/span><\/h1>\n

1989 MATH battle over<\/span><\/h1>\n

function degrees of freedom<\/span><\/span><\/h1>\n

What are\u00a0<\/a><\/span>degrees of freedom<\/a><\/span>\u00a0in statistical\u00a0<\/a><\/span>mathematics<\/a><\/span>. explain in …<\/a><\/span><\/h3>\n

\u00a0<\/span>Science & Mathematics<\/a><\/span>\u00a0\u203a<\/span>\u00a0<\/a><\/span>Mathematics<\/a><\/span><\/p>\n

6 answers – Aug 3, 2006<\/span><\/p>\n

Top answer: The\u00a0<\/span>degrees of freedom<\/span>\u00a0are the number of extra numbers you need to specify your data completely, after you have provided a summary of your data.<\/span><\/p>\n

degree of freedom<\/a><\/span>\u00a0(<\/a><\/span>mathematics<\/a><\/span>\u00a0and statistics) — Britannica Online …<\/a><\/span><\/h3>\n

www.britannica.com\/EBchecked\/topic\/218512\/<\/span>degree-of-freedom<\/span><\/p>\n

In\u00a0<\/span>mathematics<\/span>, any of the number of independent quantities necessary to express the values of all the variable properties of a system.<\/span><\/p>\n

\u00a0A system composed of a ………..<\/span><\/p>\n

\"\"<\/p>\n

Nature consists of many components. College textbooks describe many of these facets of existence –> biology, physics, chemistry, math, geology, biochemistry,etc.<\/span><\/p>\n

If Nature has a problem in one of these areas …it may use humanoids to express that \u00a0conflict.<\/span><\/p>\n

Many authors expressed that concept …of human messenger vehicles on EARTH LAB …… EARTH Theater \u00a0…EARTH equations Theater of WAR.<\/span><\/p>\n

2 major authors \u00a0clearly explained \u00a0the situation.<\/span><\/p>\n

Around year 1600<\/span><\/p>\n

All the\u00a0<\/a><\/span>world’s<\/a><\/span>\u00a0a stage –\u00a0<\/a><\/span>Shakespeare<\/a><\/span>\u00a0Quotes<\/a><\/span><\/h3>\n

www.enotes.com \u203a<\/span>\u00a0<\/a><\/span>Literature<\/a><\/span>\u00a0\u203a<\/span>\u00a0<\/a><\/span>Shakespeare<\/a><\/span>\u00a0\u203a<\/span>\u00a0<\/a><\/span>Shakespeare Quotes<\/a><\/span><\/p>\n

Shakespeare<\/span>\u00a0Quotes – All the\u00a0<\/span>World’s<\/span>\u00a0a Stage.\u00a0<\/span>…<\/span>\u00a0And all the men and women merely\u00a0<\/span>players<\/span>; They have their exits and their\u00a0<\/span>entrances<\/span>,\u00a0<\/span>…<\/span>\u00a0<\/span>Shakespeare<\/span>\u00a0wrote As You Like It.<\/span><\/p>\n

Around year 1865<\/span><\/p>\n

Who Stole the Tarts? | Alice’s Adventures in Wonderland, by\u00a0<\/a><\/span>Lewis<\/a><\/span>\u00a0…<\/a><\/span><\/h3>\n

sabian.org\/alice_in_wonderland11.php<\/span><\/p>\n

Alice’s Adventures in Wonderland, by\u00a0<\/span>Lewis Carroll<\/span>: Who Stole the Tarts?\u00a0<\/span>…<\/span>\u00a0Here one of the\u00a0<\/span>guinea<\/span>–<\/span>pigs<\/span>\u00a0cheered, and was immediately suppressed by the\u00a0<\/span>…<\/span><\/p>\n

Here we look at the math and bio-math dimensions \u00a0 of Nature and the EARTH geography \u00a0area of a major math battle …..the 1989 battle of Tiananmen Square, China.<\/span><\/p>\n

Thus we have in 1989…….the Shakespeare performance in China<\/span><\/p>\n

year 1600 —> All the\u00a0<\/span>World’s<\/span>\u00a0a Stage.\u00a0<\/span>…<\/span>\u00a0And all the men and women merely\u00a0<\/span>players<\/span>; They have their exits and their\u00a0<\/span>entrances<\/span><\/p>\n

year 1989 \u00a0—> All the\u00a0<\/span>World’s<\/span>\u00a0a Stage at Tiananmen Square .\u00a0<\/span>…<\/span>\u00a0And all the men and \u00a0and women merely\u00a0<\/span>players (Chinese university students)<\/span>; They have their exits and their\u00a0<\/span>entrances (the entrance of the \u00a0Chinese ARMY \u00a0on \u00a0JUNE 4 ,1989 into the Tiananmen Square \u00a0WORLD STAGE).<\/span><\/p>\n

Humans are symbolic processors. We process language symbols. \u00a0In the geography country of China, Asia that would comprise the Chinese language, \u00a0arithmetic, geometry, philosophy, history, etc.<\/span><\/p>\n

Humans are subsets embedded within the many dimensions \u00a0of Nature and Nature’s multi-faceted FORMATS of expression.<\/span><\/p>\n

Tiananmen \u00a0 Square\u00a0<\/span>\u00a0<\/span><\/p>\n

www.infoplease.com\/spot\/<\/span>tiananmen<\/span>.htmlA massive demonstration for democratic reform, begun on\u00a0<\/span>Tiananmen \u00a0Square<\/span>\u00a0by Chinese students in \u00a0<\/span>April, 1989 ………<\/span><\/p>\n

Let’s try to understand this EVENT …..in the context of \u00a0our existence on EARTH’s geography surface that \u00a0can be explained in terms of \u00a0 mathematical-physics space\/time \u00a0AND \u00a0our human interaction with math and statistics.<\/span><\/p>\n

Hotelling’s<\/span><\/p>\n

T-squared<\/span>\u00a0distribution –<\/span><\/p>\n

en.wikipedia.org\/wiki\/<\/span><\/p>\n

Hotelling’s_T-squared_distribution<\/span><\/p>\n

In statistics Hotelling’s T-squared distribution is \u00a0important because it arises as the distribution of a \u00a0set of statistics which<\/span><\/p>\n

are natural generalisations of the .<\/span><\/p>\n

The distribution<\/span>\u00a0–\u00a0<\/span>Hotelling’s T-squared statistic<\/span>\u00a0–\u00a0<\/span>Hotelling’s two-sample T …<\/span><\/p>\n

Let’s \u00a0look at the data sample of Nature’s. \u00a0Nature’s \u00a0social engineering \u00a0experiment was \u00a0comprised of students and other groups in China, Asia in \u00a0year 1989<\/span>.<\/span><\/p>\n

T-squared<\/span><\/p>\n

T-squared<\/span><\/p>\n

T-squa\u00a0<\/span>\u00a0 red<\/span><\/p>\n

Tiananmen \u00a0square<\/span>\u00a0red<\/span><\/p>\n

\"\"<\/p>\n

Beijing Hotel<\/span>\u00a0– Wikipedia, the free \u00a0encyclopedia<\/span><\/p>\n

en.wikipedia.org\/wiki\/<\/span>Beijing<\/span>_<\/span>Hotel<\/span><\/p>\n

The Raffles\u00a0<\/span>Beijing Hotel<\/span>,<\/span><\/p>\n

occupies two of the former blocks of the\u00a0<\/span>Beijing Hotel<\/span>\u00a0<\/span>…<\/span>\u00a0Many foreign journalists were based in the\u00a0<\/span>hotel<\/span>\u00a0during the spring of\u00a0<\/span>1989<\/span>.<\/span><\/p>\n

The Raffles\u00a0<\/span>Beijing Hotel<\/span>,<\/span><\/p>\n

The Raffles\u00a0<\/span>Beijing Hotel<\/span>,<\/span><\/p>\n

The Raffles\u00a0<\/span>\/ probability Hotel<\/span><\/p>\n

\"\"<\/p>\n

Probability of winning a prize in a raffle – Mathematics Stack \u2026<\/a><\/span><\/p>\n

The correct\u00a0<\/span>probability<\/span>\u00a0of winning at least one ticket is around 0.2242. Assuming exactly one prize is given, your answer of 1160 is the\u00a0<\/span>probability<\/span>\u00a0of winning is correct. That is, you go home empty-handed with\u00a0<\/span>probability<\/span>\u00a0159160. However, 40\u00a0<\/span>tickets<\/span>\u00a0are chosen for prizes, not just one.<\/span><\/p>\n

How to calculate\u00a0<\/a><\/span>raffle ODDS<\/a><\/span><\/p>\n

with Pier Odd Oddone of FermiLAB\u00a0<\/a><\/span>– Quora<\/a><\/span><\/p>\n

www.quora.com<\/a><\/span>\u00a0\u203a How-can-I-calculate-raffle-odds<\/a><\/span><\/p>\n

Jan 14, 2017 –\u00a0<\/span>If you mean\u00a0<\/span>raffle tickets<\/span>\u00a0then you need to know how many are sold & how many you buy to work out the\u00a0<\/span>odds<\/span>.<\/span><\/p>\n

If 100\u00a0<\/span>tickets<\/span>\u00a0are sold & you buy one, you have 1 in 1 hundred\u00a0<\/span>chance<\/span>\u00a0of winning. If you buy 10\u00a0<\/span>tickets<\/span>\u00a0you increase your\u00a0<\/span>chances<\/span>\u00a0of winning to 1 in 10, if you buy 50\u00a0<\/span>tickets<\/span>\u00a0<\/span>you have 1 in 2\u00a0<\/span>chance<\/span>\u00a0etc etc etc.<\/span><\/p>\n

The Raffles\u00a0<\/span>Beijing Hotel<\/span>,<\/span><\/p>\n

The Raffles Proability\u00a0<\/span>Hotel<\/span>,<\/span><\/p>\n

The Raffles \u2026.. ability\u00a0<\/span>Hotel<\/span>,<\/span><\/p>\n

With University of Wisconsin Madison<\/span><\/p>\n

\u00a0\u2026\u2026. \u00a0<\/span>Chance of Chance<\/span>llor John Wiley and John Wiley & Son math book publisher<\/span><\/p>\n

\u2026\u2026 Chance of Chancellor\u00a0<\/span>RE<\/span>BEC<\/span>CA Blank existing in the Bose-Einstein-Statistics
\n…the large \u00a0Carl Jung human data record pool that was condensed into \u00a0smaller
\nBose-Einstein-Condensate<\/span>(BEC)<\/span>\u00a0of human spokesperson \/ expression agents who refuse to use communications \u00a0proper atomic protocol<\/span><\/p>\n

\"\"<\/p>\n

The Raffles\u00a0<\/span>Beijing Hotel<\/span>,<\/span><\/p>\n

The Raffles\u00a0<\/span>Beijing Hotel<\/span>,<\/span><\/p>\n

\"\"<\/p>\n

The Raffles\u00a0<\/span>Beijing Hotel<\/span>,<\/span><\/p>\n

The Raffles Proability\u00a0<\/span>Hotel<\/span>,<\/span><\/p>\n

The Raffles \u2026.. ability\u00a0<\/span>Hotel<\/span>,<\/span><\/p>\n

\"\"<\/p>\n

We see that \u00a0the EARTH LAB identifiers \u00a0HOTEL \u00a0+ humanoid earthLING groups \u00a0+ \u00a0Tiananmen Square \u00a0provides an ideal \u00a0geography location with proper noun identifiers for Nature. \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Nature sees the symbolic\/conceptual \u00a0data stream \u00a0—-> \u00a0HOTEL \u00a0+ LING + Tiananmen Square –> \u00a0thus giving \u00a0Nature the ideal pointer to \u00a0 HOTELLING’s T-square \u00a0statistical \u00a0TEST setting.<\/span><\/p>\n

The event ….. had various issues and \u00a0people involved.<\/span><\/p>\n

In April 1989, triggered by the death of deposed<\/span>\u00a0<\/a><\/span>Communist Party General
\n<\/a><\/span>Secretary<\/a><\/span>\u00a0\u00a0\u00a0<\/a><\/span>H<\/a><\/span>u<\/a><\/span>\u00a0Yaobang<\/a><\/span>\u00a0\u2026<\/p>\n

human agent for EARTH systems
\n..representing \u00a0null hypothesis H \u00a0 u \u00a0 \u00a0<\/span><\/p>\n

\u00a0equation below \u00a0<\/span>,<\/span><\/p>\n

\"\"<\/p>\n

In April 1989, triggered by the death of deposed<\/span>\u00a0<\/a><\/span>Communist Party General
\n<\/a><\/span>Secret<\/a><\/span>ary<\/a><\/span>\u00a0<\/a><\/span>H<\/a><\/span>u<\/a><\/span>\u00a0Yaobang<\/a><\/span>,<\/span><\/p>\n

Codes … array H=Hypothesis decision table<\/span><\/p>\n

With<\/span>\u00a0<\/span>Secret<\/span>ary \u00a0H
\n\u2026 \u00a0secret array H
\n<\/span><\/p>\n

\"\"<\/p>\n


\n<\/span>\u00a0<\/span>\"\"<\/p>\n

In April 1989, triggered by the death of deposed<\/span>\u00a0<\/a><\/span>Communist Party General Secretary<\/a><\/span>\u00a0<\/a><\/span>Hu<\/a><\/span><\/p>\n

Yaobang<\/a><\/span>, a liberal reformer, mass gatherings<\/span><\/p>\n

\u00a0and protests took \u00a0place in and around Tiananmen Square.<\/span>[5]<\/a><\/span><\/p>\n

<\/span>\u00a0At its \u00a0 height, some half a million protesters assembled there. The \u00a0demonstrations, \u00a0consisting of local working residents as well as \u00a0students,<\/span>[6]<\/a><\/span>\u00a0called \u00a0for government accountability,<\/p>\n

<\/span>freedom of the\u00a0<\/span>press (Boyle\u2019s Law of Pressure representative Susan Boyle),<\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

freedom of \u00a0speech, and the \u00a0 restoration of workers’ control over industry.<\/span>[7]<\/a><\/span>\u00a0 \u00a0<\/span><\/p>\n

Peaceful protests also occurred in other cities, such as<\/span>\u00a0<\/a><\/span>Shanghai<\/a><\/span>\u00a0and<\/span>\u00a0<\/a><\/span>Wuhan<\/a><\/span>,<\/span><\/p>\n

while looting and rioting broke out in<\/span>
\nEuler\u2019s number e =2.718 \u2026..
\n\u2026 earth geography math region\u00a0<\/a><\/span>Xi<\/a><\/span>‘an<\/a><\/span>\u00a0\u2026.<\/span><\/p>\n

Function equations of\u00a0<\/span>iX<\/span><\/p>\n

\"\"<\/p>\n


\n<\/span>and<\/span>\u00a0<\/a><\/span>chemistry textbook region\u00a0<\/a><\/span>Chang<\/a><\/span>sha<\/a><\/span>.<\/span>[8]<\/a><\/span><\/p>\n

\"\"\"\"<\/p>\n\n\n\n
\n

The movement lasted for about seven weeks. The government \u00a0 initially \u00a0 attempted to appease the protesters through concessions, but a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 student-led<\/span>\u00a0<\/a><\/span>hunger strike<\/a><\/span>\u00a0galvanized support for the\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0demonstrators around the country.
\n<\/span>Ultimately,<\/span>\u00a0<\/a><\/span>Deng Xiao<\/a><\/span>ping<\/a><\/span>\u00a0<\/span><\/p>\n

\u2026\u2026<\/span>\u00a0COMPUTER \u00a0EARTH atomic communication systems \u2026..
\nInternet BLOG\u00a0<\/span>Ping<\/span>\u00a0systems of<\/span><\/p>\n

Sartre existentialism \u00a0<\/span><\/p>\n

and other party elders resolved to \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0use force to suppress the movement.<\/span>[9]<\/a><\/span><\/p>\n

Party \u00a0 authorities declared \u00a0\u00a0<\/span>martial \u00a0 law<\/span>\u00a0on 20 May.<\/span><\/p>\n

\"Picture\"<\/p>\n

Thus we see the concepts that led up to the JUNE Fourth incident. \u00a0 Nature’s social engineering INTELLECT and it’s bio-math tolerance ellipse reached some breaking \u00a0point …and the Chinese ARMY was called in on JUNE, 1989.<\/span><\/p>\n

The Tiananmen Square protests of 1989, also known as the June Fourth<\/span><\/p>\n

Incident in Chinese,<\/span>[1]<\/a><\/span>\u00a0were \u00a0 popular demonstrations crushed by China’s army on 4 June 1989, \u00a0when China’s<\/span><\/p>\n

leaders ordered the army to force the protesters out of<\/span>\u00a0<\/a><\/span>Tiananmen Square<\/a><\/span>\u00a0in<\/span>\u00a0<\/a><\/span>Beijing<\/a><\/span>. On their way to the Square, soldiers \u00a0 killed protesters in unknown numbers, and the crackdown became known as the<\/span><\/p>\n

Tiananmen Square Massacre or the June 4 Massacre<\/span><\/p>\n

\"Picture\"<\/p>\n

Tiananmen Square<\/span>\u00a0massacre \u00a0 takes place \u2014 History.com This Day\u00a0<\/span>…<\/span>\u00a0<\/span><\/p>\n

www.history.<\/span>tiananmen<\/span>–<\/span>square<\/span>-massacre-takes-place<\/span><\/p>\n

On June\u00a0<\/span>4<\/span>,\u00a0<\/span>1989<\/span>,<\/span><\/p>\n

however, Chinese troops and security police stormed through\u00a0<\/span>Tiananmen<\/span><\/p>\n

Square<\/span>, firing indiscriminately into the crowds of protesters. Turmoil\u00a0<\/span>…<\/span><\/p>\n

BBC \u00a0 ON THIS DAY | June\u00a0<\/span>4<\/span>\u00a0|\u00a0<\/span>1989<\/span>:<\/span><\/p>\n

Massacre in\u00a0<\/span>Tiananmen \u00a0Square<\/span>\u00a0<\/span><\/p>\n

news.bbc.co.uk\/on\/june\/4\/…\/2496277.stm<\/span>1989<\/span>:<\/span><\/p>\n

Massacre in\u00a0<\/span>Tiananmen<\/span><\/p>\n

Square<\/span>. Several hundred civilians have been shot dead by the Chinese army<\/span><\/p>\n

during a bloody military operation to crush a …<\/span><\/p>\n

We have the empirical data of the bio-math \u00a0EVENT, \u00a0that provides CLUES about the Earth and its cities and populations …..as elements of sample space. \u00a0Thus, we see the statistical \u00a0TESTING done by NATURE as it reviews society quality control. \u00a0 \u00a0 \u00a0<\/span><\/p>\n

This concept is used \u00a0in the \u00a0manufacturing of widgets \u00a0on a production line…say 10,000 widgets a day. \u00a0For every batch of 1,000 widgets…. a sample of \u00a020 widgets is examined for quality control ……. and then \u00a0if ERRORS are detetcted …. decisions are made whether to accept or reject the batch of 1000 widgets.<\/span><\/p>\n

Nature’s bio-chemistry engineers and language engineers manufactured the human, \u00a0the Central Nervous System symbolic processor, and the foundations of thought and logic.. \u00a0 Nature is very inetrested in the quality control. \u00a0Thus Tiananmen Square is one example of Nature’s TEST.<\/span><\/p>\n

Let’s summarize the MATH CLUES and their relationship to the 1989 situation.<\/span><\/p>\n

CLUE<\/span>\u00a0—> EARTH geography \u00a0location LINK to symbolic life……math \u00a0equation identifier NOUNS<\/span><\/p>\n

EarthLINGS —> ling’s T<\/span>–<\/span>squared distribution<\/span>\u00a0–<\/span><\/p>\n

Beijing Raffle HOTEL \u00a0—> Raffle \/probability \u00a0Hotel \u00a0 \u00a0T<\/span>–<\/span>squared distribution<\/span>\u00a0– \u00a0Wikipedia,<\/span>\u00a0<\/span><\/p>\n

Tiananmen Sqaure —> Hotelling’s T<\/span>–<\/span>squared distribution<\/span>\u00a0–<\/span><\/p>\n

\u00a0<\/span><\/p>\n

en.wikipedia.org\/wiki\/<\/span>Hotelling’s<\/span>_<\/span>T<\/span>–<\/span>squared<\/span>_<\/span>distribution<\/span><\/p>\n

en.i\/<\/span><\/p>\n

Beijing Hotelling’s<\/span>_<\/span>Tiananmen<\/span>–<\/span>squared<\/span>_<\/span>distribution<\/span><\/p>\n

Beijing Hotelling’s_Tiananmen——-red_blood \u00a0distribution on June 4,1989<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0en.wik<\/span><\/p>\n

Hotelling’s<\/span>_<\/span>T<\/span>–<\/span>squared<\/span>_<\/span>distribution<\/span><\/p>\n

In statistics\u00a0<\/span>Hotelling’s T<\/span>–<\/span>squared distribution<\/span>\u00a0is \u00a0 important because it arises as the distribution of a set of statistics which are \u00a0 natural generalisations of the\u00a0<\/span>…<\/span><\/p>\n

The distribution<\/span>\u00a0–\u00a0<\/span>Hotelling’s T-squared statistic<\/span>\u00a0–\u00a0<\/span>Hotelling’s two-sample T …<\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

CLUE<\/span>\u00a0—> key word student …….. their involvement in the TEST<\/span><\/p>\n

6.5.4.3.\u00a0<\/span>Hotelling’s<\/span>\u00a0<i><\/span>T<\/span><\/i> \u00a0<\/span>squared<\/span>\u00a0<\/span><\/p>\n

www.itl.nist.gov\/div898\/handbook\/pmc\/section5\/pmc543.htm<\/span>Hotelling’s T squared<\/span>.\u00a0<\/span>Hotelling’s T<\/span>2<\/span><\/p>\n

distribution<\/span>, A multivariate method that is the multivariate<\/span><\/p>\n

counterpart of Student’s-t and which also forms the basis for certain<\/span><\/p>\n

\"\"<\/p>\n

CLUE<\/span>\u00a0—>\u00a0<\/span>\u00a0Chi-square<\/span>\u00a0translates to …maps to …<\/span>China Tiananmen Square<\/span><\/p>\n

Two-Sample\u00a0<\/span>Hotelling’s \u00a0T<\/span>–<\/span>Square<\/span>\u00a0<\/span><\/p>\n

sites.stat.psu.edu\/~ajw13\/stat505\/fa06\/11…\/01_2sampHotel.htmlNow we are ready to define<\/span><\/p>\n

the Two-sample\u00a0<\/span>Hotelling’s \u00a0 T<\/span>-Square test statistic.\u00a0<\/span>…<\/span>\u00a0this test statistic will be \u00a0 approximately<\/span><\/p>\n

\u00a0chi-<\/span>square distributed<\/span>\u00a0with p degrees of<\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

CLUE<\/span>—-> Two -sample \u00a0 …… 2 groups …students VS government<\/span><\/p>\n

Two-Sample\u00a0<\/span>Hotelling’s T<\/span>–<\/span>Square<\/span>\u00a0<\/span><\/p>\n

sites.stat.psu.edu\/~ajw13\/stat505\/fa06\/11…\/01_2sampHotel.htmlNow we are ready to define the Two-sample\u00a0<\/span>Hotelling’s \u00a0T<\/span>-Square test statistic<\/span><\/p>\n

\"\"<\/p>\n

CLUE<\/span>–> mean –> English word can have additional definitions ..as = mean \/ nasty \/ cruel<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Hotelling’s \u00a0T-Square\u00a0<\/span>\u00a0<\/span><\/p>\n

www2.statistics.com\/<\/span><\/p>\n

H<\/span>otelling’s T<\/span>–<\/span>square<\/span>\u00a0is a statistic for a<\/span><\/p>\n

multivariate test of differences between the\u00a0<\/span>mean values<\/span>\u00a0of<\/span><\/p>\n

two<\/span>\u00a0groups. The null hypothesis is that\u00a0<\/span>centroid<\/span>\u00a0s don’t \u00a0differ\u00a0<\/span>…<\/span><\/p>\n

CLUE -> Centroid –> applied math –> Central Communist Party of China<\/span><\/p>\n

uncc.edu\/cpflower\/<\/span><\/p>\n

Hotelling’s T<\/span>–<\/span>Square<\/span>\u00a0is the most common,<\/span><\/p>\n

traditional test where there are\u00a0<\/span>two<\/span>\u00a0… The T-Square result \u00a0 will still have the same F\u00a0<\/span>value<\/span>, degrees of freedom, and … \u00a0 F-test shows the\u00a0<\/span>centroid<\/span>\u00a0(vector) of\u00a0<\/span>means<\/span>\u00a0of the \u00a0 dependent variables is not the …<\/span><\/p>\n

Thus we see an interesting puzzle about our relationship with Nature’s mathematics and statistics dimensions.<\/span><\/p>\n

Below, a display of a \u00a0IRON TANK \u00a0with a vector of means …nasty artillary cannon \u00a0……messages for \u00a0THINK TANK<\/span><\/p>\n

\"Picture\"<\/p>\n

degree of freedom<\/a><\/span>\u00a0(<\/a><\/span>mathematics<\/a><\/span>\u00a0and statistics) — Britannica Online …<\/a><\/span><\/h3>\n

degree of freedom<\/a><\/span>\u00a0(<\/a><\/span>mathematics<\/a><\/span>\u00a0and statistics)<\/a><\/span><\/h3>\n

www.britannica.com\/<\/span>degree-of-freedom<\/span><\/p>\n

In\u00a0<\/span>mathematics<\/span>, any of the number of independent quantities necessary to express the values of all the variable properties of a system.<\/span><\/p>\n

\u00a0A system composed of a ………..<\/span><\/p>\n

\"\"<\/p>\n

Darwinian selection of \u00a0of the \u00a0Hotelling’s \u00a0T-square geography location and<\/span><\/p>\n

D<\/span>arwinian selection of human groups \u00a0FOR the \u00a0display of EARTH \/ Nature bio-math influences and geo-math political \u00a0powers.<\/span><\/p>\n

—>\u00a0<\/span>degree of freedom<\/a><\/span>\u00a0( WORLD symbolic life of\u00a0<\/a><\/span>math \/<\/a><\/span>\u00a0statistics)<\/a><\/span>\u00a0 THEATER<\/span>\u00a0<\/span>performance needed the ideal human actors and math script<\/span><\/h3>\n

……..FOR Sakespeare bio-math-fumction \u00a0perfomance —>\u00a0<\/span>degree of freedom<\/a><\/span><\/h3>\n

Students studying for university\u00a0<\/span>degree<\/a><\/span>\u00a0 and ( shout \/ fight ) \u00a0for \u00a0 (math degrees of) \u00a0freedom<\/a><\/span><\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

RD-blog-number-2571 by Herb Zinser University students – 1989 MATH battle over function degrees of freedom What are\u00a0degrees of freedom\u00a0in statistical\u00a0mathematics. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-2066","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/posts\/2066","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/comments?post=2066"}],"version-history":[{"count":1,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/posts\/2066\/revisions"}],"predecessor-version":[{"id":2092,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/posts\/2066\/revisions\/2092"}],"wp:attachment":[{"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/media?parent=2066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/categories?post=2066"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/tags?post=2066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}