Unit 3: Climatology - Practice Quiz

1 What is the range of values for the Silhouette Score?

2 Which of the following metrics does NOT require ground truth labels (true class labels) to evaluate clustering performance?

3 In the context of the Davies-Bouldin Index, a lower value indicates:

4 The Dunn Index is defined as the ratio of:

5 Which clustering metric corrects the Rand Index for chance?

6 What does a Homogeneity score of 1.0 imply?

7 If all data points belonging to a given class are elements of the same cluster, which metric is maximized?

8 The V-measure is the harmonic mean of which two metrics?

9 Which metric is calculated as the geometric mean of pairwise precision and pairwise recall?

10 Normalized Mutual Information (NMI) is often preferred over Mutual Information (MI) because:

11 What is the primary advantage of Adjusted Mutual Information (AMI) over Normalized Mutual Information (NMI)?

12 In the Silhouette Score formula s = (b - a) / max(a, b), what does 'a' represent?

13 Which of the following indicates a clustering result where samples have been assigned to the wrong clusters according to the Silhouette Score?

14 The Adjusted Rand Index (ARI) yields a score of approximately 0 when:

15 Which metric is most sensitive to noise and outliers because it uses maximum diameters and minimum separations?

16 If a clustering algorithm produces 100 clusters for a dataset of 100 samples (each sample is its own cluster), which metric will naturally maximize to 1.0, potentially giving a misleading impression of quality?

17 Conversely, if all samples are assigned to a single cluster, which metric will maximize to 1.0?

18 What is the beta parameter used for in the V-measure calculation?

19 When calculating the Fowlkes-Mallows Index, 'TP' (True Positive) refers to:

20 Which of the following is an 'Internal' clustering validity index?

21 What is a major limitation of the Silhouette Score when dealing with non-convex clusters (e.g., ring shapes)?

22 Which component of the Silhouette Score represents the 'separation' of the cluster?

23 In the context of NMI, Entropy is used to measure:

24 Which metric is symmetric (i.e., Metric(A, B) = Metric(B, A))?

25 A Davies-Bouldin Index of 0 indicates:

26 Which of the following is required to calculate the Adjusted Mutual Information (AMI)?

27 The Fowlkes-Mallows Index is bounded between:

28 Why might the Dunn Index be computationally expensive for large datasets?

29 When interpreting Homogeneity (H) and Completeness (C), if H is high and C is low, what does this usually suggest?

30 In the formula for NMI, the Mutual Information I(U, V) is normalized by:

31 What happens to the Adjusted Rand Index (ARI) if the class labels are permuted (renamed)?

32 Which external metric suffers less from the 'curse of dimensionality' in its calculation logic (though distances themselves might suffer)?

33 For a dataset with 'k' ground truth classes, if a clustering algorithm produces 'k' clusters and ARI is 1.0, this means:

34 Which metric would be most appropriate to select the optimal number of clusters 'k' in K-Means clustering when true labels are unknown?

35 In the calculation of the Davies-Bouldin Index, 'scatter' refers to:

36 The Rand Index (RI) calculates the percentage of:

37 Does the V-measure prefer a specific number of clusters?

38 Which metric is based on the idea that good clusters should be highly similar internally and highly dissimilar externally?

39 If two different clustering algorithms produce the exact same partition of data, the AMI score between them will be:

40 Which of the following metrics is NOT bounded by 1 (i.e., can it be greater than 1)?

41 Homogeneity is equivalent to which classification metric when applied to clusters?

42 Completeness is equivalent to which classification metric when applied to clusters?

43 Which metric assumes that the best clustering has the minimum sum of similarities between each cluster and its most similar one?

44 When using the Silhouette Score, a value of 0 implies:

45 Why is 'Adjusted' Mutual Information preferred over 'Normalized' Mutual Information in many comparative studies?

46 The Fowlkes-Mallows index is generally higher when:

47 In the Dunn Index, the 'diameter' of a cluster usually refers to:

48 Which metric is strictly an Information Theoretic measure?

49 If a dataset has highly imbalanced classes, which pair of metrics gives a good view of cluster purity and class coverage?

50 A negative value for the Adjusted Rand Index (ARI) implies: