Question

How would you differentiate among multiple discriminant analysis, regression analysis, logistic regression analysis, and analysis of variance and demonstrate statistical significance for each?

Answer 1

Multiple discriminant analysis : it is used to minimize the differences b/w certain numbers of variables in order to classify them into a set of a large groups, it is basically used for categorization iterates discriminant function in order to maximize the difference b/w the groups on the function.

regression analysis : it is used to finding the relationship b/w variables in a data set , it is predict a response variable based on one (or) more explanatory variables.Regression analysis can be used in forecasting by using time as the independent variable.

Generally, a regression equation takes the form of Y=a+bx+c

where y is the dependent variable that the equation tries to predict

x is the independent variable that is being used to predict y

a is the y intercept

c called as regression residual

logistic regression analysis :  The logistic regression works with a binary dependent variable and gives the output between 0 and 1,It is the regression Analysis which is used to conduct when dependent variable is binary.It is a predictive analysis.

analysis of variance : analysis of variance is a collection of statistical models used to analyze the difference b/w groups means and their associated procedures it is basically decomposes the variability in the response variable among the different factors

statistical significance : the significance level is fixed before the statistical analysis of the data set . the statistical significant value determine the rejection thus in statistical significance we get a result which is unlikely to occur by chance