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In statistics, a factor is a variable that is controlled in an experiment to observe its effect on another variable, known as the response variable. Factors are also referred to as the "factors of the study". In mathematics, a factor is a number that can be multiplied or divided to produce a given number.123

Experimental design, a branch of statistics, uses factors to gather data and understand how they influence outcomes. For example, in a study on exercise programs and cholesterol levels, the exercise program is the factor being investigated. Factorial experiments are specifically designed to analyze the effects of multiple factors simultaneously, considering all possible combinations of their levels. Factor analysis is an analytical process that transforms statistical data into linear combinations of independent variables.124

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