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Diversity index - Quiz
Contributed by: Ogden
  • 1. What is the Rényi entropy a generalization of?
A) Gini coefficient
B) Herfindahl index
C) Shannon entropy
D) Simpson index
  • 2. Who introduced the Simpson index in 1949?
A) Albert O. Hirschman
B) Orris C. Herfindahl
C) Hunter–Gaston
D) Edward H. Simpson
  • 3. What is the economic term for the Simpson index?
A) Shannon index
B) Herfindahl–Hirschman index
C) Gini index
D) Rényi index
  • 4. What does the Simpson index (λ) represent?
A) The probability that two entities taken at random represent the same type
B) The mean of the proportional abundances
C) The inverse of the total richness
D) The total number of species in a dataset
  • 5. What is the value of 1/λ equivalent to in terms of true diversity?
A) True diversity with q = 2
B) True diversity with q = 0
C) True diversity with q = 3
D) True diversity with q = 1
  • 6. In the formula for the Simpson index, what does R represent?
A) Random sampling constant
B) Ratio of types
C) Rényi entropy
D) Richness
  • 7. What is the name of the Simpson index form used in microbiology?
A) Hunter–Gaston index
B) Herfindahl–Gaston index
C) Hirschman–Simpson index
D) Shannon–Hunter index
  • 8. What happens to the value of λ in datasets of high diversity?
A) It becomes undefined
B) It obtains large values
C) It obtains small values
D) It remains constant
  • 9. Which of these is a common transformation of λ that increases with diversity?
A) Gini–Simpson index (1 − λ)
B) Logarithm of λ
C) Square root of λ
D) Sum of λ
  • 10. What assumption is made for the standard interpretation of λ as a probability?
A) Entities are sampled with replacement
B) The dataset must be infinitely large
C) Entities are sampled without replacement
D) The number of types must be equal to the number of entities
  • 11. Who introduced the square root of the Simpson index in 1945?
A) Albert O. Hirschman
B) Edward H. Simpson
C) Orris C. Herfindahl
D) Claude Shannon
  • 12. What is the range of the minimum value for λ?
A) λ ≥ 1/R
B) λ ≥ 0
C) λ ≥ R
D) λ ≥ 1
  • 13. What is a diversity index used for?
A) Calculating the total biomass of a community
B) Identifying individual organisms by name
C) Measuring different types in a dataset
D) Predicting the future growth of a population
  • 14. What is meant by the term 'richness' in the context of a diversity index?
A) A count of the number of types in a dataset
B) The geographical spread of a species
C) The total weight of all organisms
D) The proportional abundance of the rarest type
  • 15. In information science, what entities are typically measured using diversity indices?
A) Digital signals
B) Hardware components
C) Network nodes
D) Characters
  • 16. What are Hill numbers also known as?
A) Shannon entropy constants
B) Categorical variation counts
C) Phylogenetic averages
D) Effective number of species
  • 17. What does the parameter 'q' define in the calculation of true diversity?
A) The unit of measurement used for the diversity
B) The total number of types in the dataset
C) The sensitivity to rare versus abundant species
D) The geographical size of the site
  • 18. What is the Shannon index called in the field of machine learning?
A) Information gain
B) Entropy reduction
C) Diversity gain
D) Perplexity
  • 19. What is the value of the Shannon index when there is only one type in a dataset?
A) Zero
B) Negative one
C) One
D) Infinity
  • 20. What does the Rényi entropy add to diversity measurement?
A) The ability to freely vary the kind of weighted mean used
B) The ability to count rare species only
C) The inclusion of phylogenetic relatedness
D) A way to calculate biomass
  • 21. What is the relationship between the Shannon index (H') and true diversity (1D)?
A) H' equals the square of 1D
B) H' equals 1/1D
C) H' equals 1D
D) H' equals ln(1D)
  • 22. What are indices that account for phylogenetic relatedness called?
A) Genetic diversity indices
B) Phylo-divergence indices
C) Species-relativity indices
D) Phylogenetic richness counts
  • 23. How is the Berger–Parker index defined?
A) The maximum proportional abundance
B) The weighted arithmetic mean of types
C) The inverse of the Simpson index
D) The sum of squared proportional abundances
  • 24. The Berger–Parker index is equal to the inverse of which diversity order?
A) Order 1
B) Order infinity
C) Order 0
D) Order 2
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