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Classification and regression tree technique (CART): The alternative to the multiple regression and associated techniques or methods for determining subsets of the explanatory variables most significant for prediction of the response variable. Rather than ?tting the model to the sample data, a tree structure is obtained by dividing the sample recursively into the various of sets, each division being chosen so as to maximize some measure of difference in the response variable in the resulting two sets. The resulting structure often gives us the easier interpretation than a regression equation, as those variables most significant for the prediction can be quickly identi?ed. In addition this approach does not need distributional assumptions and is also more resistant to the effects of the outliers. At each stage the sample is divided on the basis of a variable, xi, according to answers to such questions as 'Is xi c' (univariate split), is ' Paixi c' (which is linear function split) and 'does xi A' (if xi is the categorical variable). A design of the application of this method or technique is shown in the figure 35.
The Null Hypothesis - H0: β 1 = 0 i.e. there is homoscedasticity errors and no heteroscedasticity exists The Alternative Hypothesis - H1: β 1 ≠ 0 i.e. there is no homoscedasti
MEANING ,IMPORTANCE AND RELEAVANCE OF SCATTER DIAGRAM
Non central distributions is the series of probability distributions each of which is the adaptation of one of the standard sampling distributions like the chi-squared distributio
Q1: The growth in bad debt expense for Aptara Pvt. Ltd. Company over the last 20 years is as follows. 1997 0.11 1998 0.09 1999 0.08 2000 0.08 2001 0.1 2002 0.11 2003 0.12 2004 0.1
Clustered data : The term applied to both the data in which the sampling units are grouped into the clusters sharing some common feature, for instance families or geographical reg
1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let N (t) = N1(t) + N2(t). a) What is the distribution of the time till the next epoch
Suppose the graph G is n-connected, regular of degree n, and has an even number of vertices. Prove that G has a one-factor. Petersen's 2-factor theorem (Theorem 5.40 in the note
Morbidity is the term used in the epidemiological studies to describe sickness in the human populations. The WHO Expert Committee on the Health Statistics noted in its sixth repor
The functions of the data and the parameters of interest which can be brought in use to conduct inference about the parameters when full distribution of the observations is unknown
Probability distribution : For the discrete random variable, a mathematical formula which provides the probability of each value of variable. See, for instance, binomial distributi
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