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{{Expert-subject|Statistics|date=February 2009}}
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In [[statistics]], a '''varimax rotation''' is a [[change of coordinates]] used in [[principal component analysis]] and [[factor analysis]] that maximizes the sum of the [[variance]]s of the squared loadings (squared correlations between variables and factors). Intuitively, this is achieved if, (a) any given variable has a high loading on a single factor but near-zero loadings on the remaining factors and if (b) any given factor is constituted by only a few variables with very high loadings on this factor while the remaining variables have near-zero loadings on this factor. If these conditions hold, the factor loading matrix is said to have "simple structure," and varimax rotation brings the loading matrix closer to such simple structure (as much as the data allow). From the perspective of individuals measured on the variables, varimax seeks a basis that most economically represents each individual—that is, each individual can be well described by a [[linear combination]] of only a few basis functions..
 
One way of expressing the varimax criterion formally is this:
 
:<math> R_\mathrm{VARIMAX} = \operatorname{arg}\max_R \left(\sum_{j=1}^k \sum_{i=1}^p (\Lambda R)^4_{ij} - \frac{\gamma}{p} \sum_{j=1}^k \left(\sum_{i=1}^p (\Lambda R)^2_{ij}\right)^2\right).</math>
 
where γ&nbsp;=&nbsp;1 for VARIMAX.
 
Suggested by [[Henry Felix Kaiser]] in 1958,<ref>{{Cite journal
| author = Henry F. Kaiser
| title = The varimax criterion for analytic rotation in factor analysis
| journal = [[Psychometrika]]
| volume = 23
| issue = 3
|date=September 1958
| doi = 10.1007/BF02289233
}}</ref>
it is a popular scheme for orthogonal rotation (where all factors remain uncorrelated with one another).
 
A technical discussion of advantages and disadvantages of  various rotation approaches are discussed at the website of [[Columbia University]].<ref name=svd>{{cite web
  | last = 
  | first =
  | authorlink =
  | coauthors =
  | title = Singular Value Decomposition
  | work =
  | publisher =
  | date =
  | url = http://ingrid.ldeo.columbia.edu/dochelp/StatTutorial/SVD/
  | format =
  | doi =
  | accessdate = 20 September 2008
  }}</ref>
 
==Rotation in factor analysis==
A summary of the use of varimax rotation and of other types of factor rotation is presented in [[Factor analysis|this article on factor analysis]].
 
== Implementations ==
In the ''[[R (programming language)|R]]'' programming language the varimax method is implemented in several packages including ''stats'' (function ''varimax( )''), or in contributed packages including ''GPArotation'' or ''psych''.
 
== See also ==
* [[Factor analysis]]
* [[Empirical orthogonal functions]]
* [[Q methodology]]
* [[Rotation matrix]]
 
== Notes ==
{{Reflist}}
 
== External links ==
* [http://www.utd.edu/~herve/Abdi-rotations-pretty.pdf Factor rotations in Factor Analyses by Herve Abdi]
* [http://www.stat.ufl.edu/~tpark/Research/about_varimax.html About Varimax]
* [http://www.itl.nist.gov/div898/handbook/pmc/section5/pmc551.htm#measure Properties of Principal Components]
* http://www2.imm.dtu.dk/pubdb/views/edoc_download.php/4041/pdf/imm4041.pdf
{{NIST-PD}}
 
[[Category:Multivariate statistics]]
[[Category:Factor analysis]]
 
 
{{statistics-stub}}

Latest revision as of 19:55, 3 December 2014

Year 1987 saw the launch of a replacement line of Nike Shoe. This new line of shoes that shook the field of with its innovatively advance air sole technology was Nike Air Max. Since its introduction lot many changes happen to done to the original make.

At last, the body's harmony as well as the movement's stability are very significant. There are still players this type of throw the ball into the basket after he cannot really keep their own health air jordan shoes balanced. This player's coordination is enough. The player can keep his body and his hands stable when he shoots. Players should keep good condition and be very comfy. Therefore they can play well in rivalry and win at very last.

Try them out -- although exact same try them out with the store achievable walk or run inside a bit in the shop. Check to see how comfortable tend to be during this activity.

Is the this shoe for every individual? Of course not. But what shoe is? Jordan sneaker purists have condemned all Jordan hybrids like the 6 Rings, as an abomination and disgrace towards the air jordan line and the man himself. A lot these purists only consider Jordan "Retros", original forms of the shoe, to because the only true Jordan's. Hybrids to men and women are trash. To each his own I reckon. But I still recognize such a robust distaste for virtually any high performance, good-looking boot. If one were to only consider exactly what the shoe represents, that alone would placed head and shoulders above many belonging to the other Retro Jordan shoes for basketball that are released.

Now, this statement has nothing to use skill. LeBron is a great, not really all-time great player. I will never take off the awe inspiring drunks, passes, and defensive stops much more to produce each and every game. And i'm not likely to talk about stats or "who's gotten further at what age" or anything of such like. Having seen both play, without having to knowing how LeBron's career will eventually play out in his elder years, safeguarding accurately start that debate yet. However, what separates James from Jordan, and why Jordan have invariably been at the pinnacle of greatness and LeBron was anxiously seen as #2, will be the attitude. No person can take away his will to win, or the love he end up being perform very. But one has to question King James' degree of class.

One psychologist, who declined to be named in this report suggested these shoes are important "status symbols" for kids, particularly from the inner city and hip hop counter culture movement.

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