Actuarial Notes

SOA Exam SRM Sample Question 30

Study guide: Exam SRM

Principal component analysis is applied to a large data set with four variables.

Loadings for the first four principal components are estimated.

Determine which of the following statements is/are true with respect the loadings.

  • I. The loadings are unique.

  • II. For a given principal component, the sum of the squares of the loadings across the four variables is one.

  • III. Together, the four principal components explain 100% of the variance.

  • A) None

  • B) I and II only

  • C) I and III only

  • D) II and III only

  • E) The correct answer is not given by (A), (B), (C), or (D).

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