When comparing k-means clustering and hierarchical clustering for a dataset with 500,000 observations in SAS, which statement is most accurate?
Select an answer to reveal the explanation.
Short Explanation and Infographic
Here's the deal — b is correct because agglomerative hierarchical clustering requires computing and storing a pairwise distance matrix (O(n^2) space) and O(n^2) to O(n^3) time, making it infeasible for 500,000 observations. K-means iteratively reassigns points to the nearest centroid, which is O(nkiterations) and scales far better.
Full explanation below image
Full Explanation
B is correct because agglomerative hierarchical clustering requires computing and storing a pairwise distance matrix (O(n^2) space) and O(n^2) to O(n^3) time, making it infeasible for 500,000 observations. K-means iteratively reassigns points to the nearest centroid, which is O(nkiterations) and scales far better. A is wrong — hierarchical clustering requires multiple passes and enormous memory. C is wrong because complete linkage is a linkage criterion choice that doesn't guarantee superior quality. D is wrong; computational complexity differs significantly.