Eta meson: Difference between revisions

Revision as of 18:14, 26 July 2013

In statistics, a varimax rotation is a change of coordinates used in principal component analysis and factor analysis that maximizes the sum of the variances 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:

R_{V A R I M A X} = \arg \max_{R} (\sum_{j = 1}^{k} \sum_{i = 1}^{p} (Λ R)_{i j}^{4} - \frac{γ}{p} \sum_{j = 1}^{k} {(\sum_{i = 1}^{p} (Λ R)_{i j}^{2})}^{2}) .

where γ = 1 for VARIMAX.

Suggested by Henry Felix Kaiser in 1958,^[1] 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.^[2]

Rotation in factor analysis

A summary of the use of varimax rotation and of other types of factor rotation is presented in this article on factor analysis.

Implementations

In the R programming language the varimax method is implemented in several packages including stats (function varimax( )), or in contributed packages including GPArotation or psych.

Notes

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↑ Template:Cite web

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In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

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[2]

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+{{Expert-subject|Statistics|date=February 2009}}
+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}}

Eta meson: Difference between revisions

Revision as of 18:14, 26 July 2013

Contents

Rotation in factor analysis

Implementations

See also

Notes

External links

Navigation menu

Eta meson: Difference between revisions

Revision as of 18:14, 26 July 2013

Rotation in factor analysis

Implementations

See also

Notes

External links

Navigation menu

Search