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

Quantitative, How has quantitative analysis changed the current scenario in...

How has quantitative analysis changed the current scenario in the management world today?

Statistics HW, we are testing : Ho: µ=40 versus Ha: µ>40 (a= 0.01) Suppose...

we are testing : Ho: µ=40 versus Ha: µ>40 (a= 0.01) Suppose that the test statistic is z0=2.75 based on a sample size of n=25. Assume that data are normal with mean mu and standa

Explain historical controls, Historical controls : The group of patients tr...

Historical controls : The group of patients treated in the past with the standard therapy, taken in use as the control group for evaluating the new treatment on the present patient

Sequencing problem, when there is tie in sequencing then what we do

when there is tie in sequencing then what we do

Hazard plotting, Hazard plotting  is based on the hazard function of a dist...

Hazard plotting  is based on the hazard function of a distribution, this procedure gives estimates of distribution parameters, the proportion of units failing by the given time per

Ain why the simulated result doesn''t have to be exact as the, ain why the ...

ain why the simulated result doesn''t have to be exact as the theoretical calculation

Principal components analysis, Principal components analysis is a process ...

Principal components analysis is a process for analysing multivariate data which transforms original variables into the new ones which are uncorrelated and account for decreasing

Regression, regression line drawn as Y=C+1075x, when x was 2, and y was 239...

regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

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