Question

Select the method(s) that involve(s) a pairwise comparison matrix for quantifying the weights of decision criteria.

• A. Analytical hierarchy process
• B. Exploratory factor analysis
• C. Latent class analysis
• D. Multiple linear regression

Hint:

Whenever you see "pairwise comparison matrix" in decision analysis, the immediate association should be AHP.

Answer 1

The Correct Option is A

Step 1: Pairwise Comparison Matrix Definition.
\nA pairwise comparison matrix facilitates the comparison of criteria or alternatives in pairs. Relative importance is assessed using scales, such as Saaty's 1–9 scale. These matrices are characterized by being positive, reciprocal, and having diagonal entries equal to 1. \n\n

Step 2: The Relevant Method.
\nThe Analytical Hierarchy Process (AHP) exclusively utilizes pairwise comparison matrices to establish the weights of decision criteria. AHP calculates these relative weights by determining the principal eigenvector of the matrix. \n\n

Step 3: Rationale for Exclusion.
\n- (B) Exploratory factor analysis operates on correlation matrices, not pairwise comparison matrices.
\n- (C) Latent class analysis is a clustering technique and does not involve pairwise judgments.
\n- (D) Multiple linear regression determines coefficients from data, not from subjective comparative assessments. \n\n

Step 4: Concluding Remark.
\nOnly AHP fulfills the specified criteria. \n\n \n\[\n\boxed{(A) \; \text{Analytical hierarchy process}}\n\] \n\n\n% Quicktip