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

Error rate estimation, The term used for the estimation of the misclassific...

The term used for the estimation of the misclassification rate in the discriminant analysis. Number of techniques has been proposed for two-group situation, but the multiple-group

Fisher''s exact test, The alternative process to make use of the chi-square...

The alternative process to make use of the chi-squared statistic for assessing the independence of the two variables forming a two-by-two contingency table particularly when expect

Negative binomial distribution, Negative binomial distribution is the prob...

Negative binomial distribution is the probability distribution of number of failures, X, before the kth success in the sequence of Bernoulli trials where the probability of succes

The time series analysis on the number of babies, importance of time series...

importance of time series on the number of babies given birth

Hanging rootogram, Hanging rootogram is   he diagram comparing the observe...

Hanging rootogram is   he diagram comparing the observed rootogram with the ?tted curve, in which dissimilarities between the two are displayed in relation to the horizontal axis,

Quasi-experiment, Quasi-experiment is a term taken in use for studies whic...

Quasi-experiment is a term taken in use for studies which resemble experiments but are weak on some of the characteristics, particularly that allocation of the subjects to groups

QUANTITATIVE METHOD., an oil company is considering whether or not to bid f...

an oil company is considering whether or not to bid for an offshore drilling contract. The bid would cost $60 with a 65% chance of gaining the contract. Outcome success Probability

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

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