Discriminant function analysis
Encyclopedia
Discriminant function analysis is a statistical analysis to predict a categorical dependent variable by one or more continuous or binary
independent
variables. It is different from an ANOVA or MANOVA
, which is used to predict one (ANOVA) or multiple (MANOVA) continuous dependent variables by one or more independent categorical variables instead. Discriminant function analysis is useful in determining whether a set of variables is effective in predicting category membership.
Moreover, it is a useful follow-up procedure to a MANOVA instead of doing a series of one-way ANOVAs, for ascertaining how the groups differ on the composite of dependent variables.
In simple terms, discriminant function analysis is classification - the act of distributing things into classes or categories of the same type.
Binary
- Mathematics :* Binary numeral system, a representation for numbers using only two digits * Binary function, a function in mathematics that takes two arguments- Computing :* Binary file, composed of something other than human-readable text...
independent
Independent variable
The terms "dependent variable" and "independent variable" are used in similar but subtly different ways in mathematics and statistics as part of the standard terminology in those subjects...
variables. It is different from an ANOVA or MANOVA
MANOVA
Multivariate analysis of variance is a generalized form of univariate analysis of variance . It is used when there are two or more dependent variables. It helps to answer : 1. do changes in the independent variable have significant effects on the dependent variables; 2. what are the interactions...
, which is used to predict one (ANOVA) or multiple (MANOVA) continuous dependent variables by one or more independent categorical variables instead. Discriminant function analysis is useful in determining whether a set of variables is effective in predicting category membership.
Moreover, it is a useful follow-up procedure to a MANOVA instead of doing a series of one-way ANOVAs, for ascertaining how the groups differ on the composite of dependent variables.
In simple terms, discriminant function analysis is classification - the act of distributing things into classes or categories of the same type.
See also
- Statistical classification
- Linear discriminant analysisLinear discriminant analysisLinear discriminant analysis and the related Fisher's linear discriminant are methods used in statistics, pattern recognition and machine learning to find a linear combination of features which characterizes or separates two or more classes of objects or events...
- Multiple discriminant analysisMultiple discriminant analysisMultiple Discriminant Analysis is a method for compressing a multivariate signal to yield a lower dimensional signal amenable to classification....