Describe Generalized principal components analysis, Advanced Statistics

Assignment Help:

Generalized principal components analysis: The non-linear version of the principal components analysis in which the goal is to determine the non-linear coordinate system which is most in agreement with the data configuration. For instance, for the bivariate data, y1,y2, if the quadratic coordinate system is sought, a variable z is defined as given below:

127_generalized principal component analysis.png 
with the coefficients being set up so that the variance of z is a maximum amongst all such quadratic functions of y1 and y2.

 


Related Discussions:- Describe Generalized principal components analysis

Deviance, The measure of the degree to which the particular model differs f...

The measure of the degree to which the particular model differs from the saturated model for the data set. Explicitly in terms of the likelihoods of the two models can be defined a

Dummy variables, The variables resulting from the recoding categorical vari...

The variables resulting from the recoding categorical variables with more than two categories into the sequence of binary variables. Marital status, for instance, if originally lab

Arithmetic mean , a sequence of numbers consist of six 6''s seven 7''s eigh...

a sequence of numbers consist of six 6''s seven 7''s eight 8''s nine 9''s ten 10''s what is the arithmetic mean?

Multi co linearity, Multi co linearity is the term used in the regression ...

Multi co linearity is the term used in the regression analysis to indicate situations where the explanatory variables are related by a linear function, making the inference of the

Degenerate distributions, The special cases of the probability distribution...

The special cases of the probability distributions in which the random variable's distribution is concentrated at one point only. For instance, a discrete uniform distribution when

Intention-to-treat analysis, Intention-to-treat analysis is the process in...

Intention-to-treat analysis is the process in which all the patients randomly allocated to a treatment in the clinical trial are analyzed together as representing that particular

Epidemic, The rapid development or growth of the disease in a community or ...

The rapid development or growth of the disease in a community or region. Statistical thinking has made very much significant contributions to the understanding of such type of phen

Lipstick Dilemma, For a career woman, wearing lipstick has become an integr...

For a career woman, wearing lipstick has become an integral part of her daily life. It is not unusual for a woman to look for a lipstick that will stay on her lips and not smudge

Game theory, This is the branch of mathematics which deals with the theory ...

This is the branch of mathematics which deals with the theory of contests between two or more players under the specified sets of rules. The subject supposes a statistical aspect w

Regression to the mean, Regression to the mean is the procedure first note...

Regression to the mean is the procedure first noted by Sir Francis Galton that 'each peculiarity in man is shared by his kinsmen, but on average to the less degree.' Hence the ten

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd