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A graduate student is using a statistical software package to identify the basic patterns underlying the many relationships among a large number of variables. She is performing _________ analysis.

A - Descriptive
B - Inferential
C - Correlational
D - Factor
E - Regression

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Final answer:

The student is performing Factor analysis to identify underlying patterns among a large number of variables. This method is distinct from regression analysis which assesses causality and from descriptive and inferential statistics which summarize data and draw population conclusions from samples.

Step-by-step explanation:

The student is performing Factor analysis. This statistical method is used to identify the underlying patterns and structures in a dataset by examining the correlations between a large number of variables and reducing them to a smaller number of factors. Unlike descriptive or inferential statistics, factor analysis helps to understand the latent constructs that cause the observed variables to covary. For instance, a factor analysis could reveal underlying dimensions such as extroversion and conscientiousness in a set of psychological test items.

It is different from regression analysis which is used to determine the strength and direction of causality between a dependent and one or more independent variables. Descriptive statistics summarize and organize data, for example by finding an average, while inferential statistics use probability to draw conclusions about a population based on a sample.

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