Locally weighted regression, Advanced Statistics

Assignment Help:

Locally weighted regression is the method of regression analysis in which the polynomials of degree one (linear) or two (quadratic) are used to approximate regression function in particular 'neighbourhoods' of the space of explanatory variables. It is many times useful for smoothing scatter diagrams to allow any structure to be seen more clearly and for identifying the possible non-linear relationships between the response and the explanatory variables. A robust estimation procedure (which is usually known as loess) is taken in use to guard against deviant points distorting the smoothed points. Essentially the procedure involves an adaptation of the iteratively reweighted least squares. The example shown in the figure illustrates the situation in which the locally weighted regression differs considerably from the linear failure of y on x as fitted by least squares estimation.

671_locally weighted regression.png 


Related Discussions:- Locally weighted regression

Hypotheses, a company suppliers specialized, high tensile Pins to customers...

a company suppliers specialized, high tensile Pins to customers. It uses an automatic lathe to produce the pins. Due to the factors such as vibration, temperature and wear and tear

Window variables, Window variables are the variables measured during the c...

Window variables are the variables measured during the constrained interval of an observation period which is accepted as the proxies for the information over the whole period. Fo

Correspondence analysis, The method or technique for displaying the relatio...

The method or technique for displaying the relationships between categorical variables in a type of the scatter plot diagram. For two this type of variables displayed in the form o

Cointegration, Cointegration : The vector of not motionless time sequence i...

Cointegration : The vector of not motionless time sequence is said to be cointegrated if the linear combination of the individual series is stationary. Facilitates suitable testing

Resentful demoralization, Resentful demoralization is the possible phenome...

Resentful demoralization is the possible phenomenon in the clinical trials and intervention studies in which comparison groups not attaining a perceived desirable treatment become

Frailty, A term usually used for unobserved individual heterogeneity. Such ...

A term usually used for unobserved individual heterogeneity. Such variation is of main concern in the medical statistics particularly in the analysis of the survival times where ha

Describe probability distribution, Probability distribution : For the discr...

Probability distribution : For the discrete random variable, a mathematical formula which provides the probability of each value of variable. See, for instance, binomial distributi

Environmental statistics, The procedures used for determining how the quali...

The procedures used for determining how the quality of life is affected by the environment, in particular by factors such as air and solid wastes, water pollution, hazardous substa

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

Ascertainment bias, Ascertainment bias : A feasible form of bias, particula...

Ascertainment bias : A feasible form of bias, particularly in the retrospective studies, which arises from the relationship between the exposure to the risk factor and the probabil

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