DISCRIMINANT ANALYSIS Meaning and
Definition
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Discriminant Analysis, also known as Discriminant Function Analysis or Discriminant Function Method, is a statistical technique used in data analysis and machine learning to determine which variables contribute the most to the differentiation of classes or groups in a dataset. It is a powerful tool for classification and can be used to predict the group membership of individuals or objects.
The purpose of Discriminant Analysis is to find a linear combination of independent variables, called discriminant functions or discriminants, that maximally separate the predefined groups. These discriminants are constructed in such a way that they maximize the between-group variance while minimizing the within-group variance, thus providing an optimal separation between groups.
In Discriminant Analysis, a set of data points or observations are divided into known groups or classes, and a model is constructed based on the values of several predictor variables. The model is then used to predict the group membership of new or unseen observations.
The discriminant functions are derived through mathematical calculations such as eigenvalue decomposition or by applying multivariate analysis techniques like principal component analysis. These functions are then used to assign a predicted class to each observation based on its scores or values.
Discriminant Analysis finds applications in various fields such as market research, biology, psychology, finance, and pattern recognition. It is particularly useful when dealing with high-dimensional datasets or when there is a need to classify observations into mutually exclusive groups based on available predictor variables.
Common Misspellings for DISCRIMINANT ANALYSIS
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Etymology of DISCRIMINANT ANALYSIS
The word "discriminant analysis" comes from the combination of two terms: "discriminant" and "analysis".
1. "Discriminant" is derived from the Latin term "discriminare", which means to distinguish or to separate. In mathematics and statistics, a discriminant is a mathematical function that helps identify or distinguish between different classes or categories based on given variables or features.
2. "Analysis" comes from the Greek term "análusis", which means the act of breaking something down or examining it closely. In the context of statistics, analysis refers to the process of studying and interpreting data to obtain meaningful insights.
Therefore, "discriminant analysis" refers to the statistical technique used to analyze and interpret data to differentiate between different classes or categories based on their given features or variables.
Similar spelling word for DISCRIMINANT ANALYSIS
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