gs gs119 Data Exploration and Analysis - Measuring Data Similarity and Dissimilarity - Quiz No.1
gs gs119 Data Science Quiz
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Question 1: Which of the following is the correct dissimilarity matrix for the given data?
| Object | Color |
|---|---|
| A | Red |
| B | Blue |
| C | Blue |
\(\begin{bmatrix} 0 & & \\ 1 & 0 & \\ 1 & 0 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 1 & 0 & \\ 0 & 0 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 0 & 0 & \\ 1 & 0 & 1 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & \\ 1 & 1 & \\ 1 & 0 & 0 \end{bmatrix}\)
Question 2: Which of the following is the correct similarity matrix for the given data?
| Object | Color |
|---|---|
| A | Red |
| B | Green |
| C | Blue |
| D | Green |
\(\begin{bmatrix} 0 & & & \\ 1 & 0 & & \\ 1 & 0 & 0 & \\ 0 & 1 & 1 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 1 & & & \\ 0 & 1 & & \\ 0 & 0 & 1 & \\ 0 & 1 & 0 & 1 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & & \\ 1 & 0 & & \\ 1 & 1 & 0 & \\ 0 & 1 & 1 & 0 \end{bmatrix}\)
\(\begin{bmatrix} 0 & & & \\ 1 & 1 & & \\ 1 & 0 & 0 & \\ 0 & 1 & 1 & 1 \end{bmatrix}\)
Question 3: Which of the following is the correct expression for symmetric binary dissimilarity between two objects, where q and t attributes have value 1 and 0 for both objects respectively, r attributes have value 1 for first object and 0 for the second object and s attributes have value 0 for the first object and 1 for the second object?
Dissimilarity = (r + s)/ (q + r + s + t)
Dissimilarity = (q – s)/ (q + r + s + r)
Dissimilarity = (t + s)/ (q + r + s + t)
Dissimilarity = (r – s)/ (q + r + s + t)
Question 4: Given two objects, if q and t attributes have value 1 and 0 for both objects respectively, r attributes have value 1 for first object and 0 for the second object and s attributes have value 0 for the first object and 1 for the second object, which of the following is the correct expression for asymmetric binary dissimilarity between the two objects?
Dissimilarity = (r + s)/ (q + r + t)
Dissimilarity = (q – s)/ (q + r + s)
Dissimilarity = (r + s)/ (q + r + s)
Dissimilarity = (t – s)/ ( r + s + t)
Question 5: Which of the following is also referred to as Jaccard coefficient?
Symmetric binary similarity
Symmetric binary dissimilarity
Asymmetric binary similarity
Asymmetric binary dissimilarity
Question 6: Which of the following is true about the Euclidean distance between the given objects?
| object | Result 1 | Result 2 | Result 3 | Result 4 | Result 5 |
|---|---|---|---|---|---|
| Object 1 | 1 | 3 | 2 | 3 | 1 |
| Object 2 | 3 | 7 | 4 | 8 | 6 |
The Euclidean distance between the objects is 7.5
The Euclidean distance between the objects is 4.2
The Euclidean distance between the objects is 3.7
The Euclidean distance between the objects is 8.6
Question 7: Which of the following is true about the Manhattan distance between the given grades of the students?
| object | Grade 1 | Grade 2 | Grade 3 |
|---|---|---|---|
| Student 1 | 3.5 | 3.2 | 2.4 |
| Student 2 | 3 | 2.7 | 3.9 |
The Manhattan distance between the objects is 4.5
The Manhattan distance between the objects is 3.5
The Manhattan distance between the objects is 2.5
The Manhattan distance between the objects is 1.5
Question 8: Which of the following statement is true regarding the Euclidean distance?
The Euclidean distance is equal to the L1 norm
The Euclidean distance is equal to the L2 norm
The Euclidean distance is equal to the L3 norm
The Euclidean distance is equal to the L4 norm
Question 9: L∞ norm is also known as _____
Uniform norm
Non-uniform norm
Jaccard norm
L1 norm
Question 10: Which of the following is true about the supremum distance between the given objects?
| object | Part 1 | Part 2 | Part 3 |
|---|---|---|---|
| object 1 | 3 | 4 | 8 |
| object 2 | 2 | 7 | 3 |
The supremum distance between the objects is 2
The supremum distance between the objects is 6
The supremum distance between the objects is 4
The supremum distance between the objects is 5
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