The circular test is satisfied if an index allows comparison of period 2 with period 0 via period 1, i.e., P₀₁ × P₁₂ = P₀₂. Which index commonly fails this test? MCQ with Answer and Explanation
The circular test is satisfied if an index allows comparison of period 2 with period 0 via period 1, i.e., P₀₁ × P₁₂ = P₀₂. Which index commonly fails this test?
A. Simple geometric mean index
B. Laspeyres index
C. Chain base index with fixed weights
D. Fisher's ideal index
Answer: Option B
Solution (By JKExamLibrary)
Laspeyres index uses fixed base-period weights, so P₀₁ × P₁₂ ≠ P₀₂ in general due to weight rigidity, failing the circular test; Fisher's index satisfies it under certain conditions.
Explanation:
ASFR = (Births to women in age group / Women in age group) × 1,000. An ASFR of 100 means 100 annual births per 1,000 women aged 30-34, reflecting age-specific fertility behavior.
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