Residual plots, Advanced Statistics

Assignment Help:

Residual plots are the plots of some type of residual which might be helpful in assessing the assumption made by the fitted model. In regression analysis there are various methods of plotting the residual values which can be helpful in assessing particular components of the regression model. The most useful plots when diagnosing the linear regression models are given below;

* A boxplot or probability plot of the residuals can be useful in checking for symmetry and specifically for normality of the error terms in the regression model.

* Plotting the residuals against the corresponding values of the explanatory variable.

Any sign of curvature in the plot might suggest that say a quadratic term in the explanatory variable should be included in the model.

* Plotting residuals against fitted values of the response variable. If the variability of the residuals appears to increase with the increase in the size of the fitted values, a transformation of the response variable former to fitting is indicated.

Figure shows some idealized residual plots that indicate particular points about models.

* Figure (a) is what is looked for to confirm that the fitted model is appropriate,

* Figure (b) suggests that the assumption of constant variance is not justified so that some transformation of the response variable before fitting might be sensible,

* Figure (c) implies that the model requires a quadratic term in the explanantory variable.

 


Related Discussions:- Residual plots

Cluster sampling, Cluster sampling : A method or technique of sampling in w...

Cluster sampling : A method or technique of sampling in which the members of the population are arranged in groups (called as 'clusters'). A number of clusters are selected at the

Biplots, Biplots: It is the multivariate analogue of the scatter plots, wh...

Biplots: It is the multivariate analogue of the scatter plots, which estimates the multivariate distribution of the sample in a few dimensions, typically two and superimpose on th

Tree, Tree is the term from the branch of the mathematics which known as t...

Tree is the term from the branch of the mathematics which known as the graph theory, used to describe any set of the straight-line segments joining the pairs of points in some pro

F-test, A test for equality of the variances of the two populations having ...

A test for equality of the variances of the two populations having normal distributions, based on the ratio of the variances of the sample of observations taken from each. Most fre

Define interval-censored observations, Interval-censored observations ar...

Interval-censored observations are the  observations which often occur in the context of studies of time elapsed to the particular event when subjects are not monitored regularl

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

Percentage, Looking for the correct answer.Y=50+.079(149)-.261(214)=

Looking for the correct answer.Y=50+.079(149)-.261(214)=

Markov Model, How to estimate MLE for statistical anslysis using Markov Mod...

How to estimate MLE for statistical anslysis using Markov Model?

Explain negative hyper geometric distribution, Negative hyper geometric dis...

Negative hyper geometric distribution : In sampling without replacement from the population comprising of r elements of one kind and N - r of another, if two elements corresponding

Randomization tests, Randomization tests are the procedures for determinin...

Randomization tests are the procedures for determining the statistical significance directly from the data with- out recourse to some particular sampling distribution. For instanc

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