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?
Explanation:
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:
Harmonic mean is suitable for averaging rates or ratios because it gives equal weight to each data point's reciprocal, preventing distortion from high values in rate calculations.
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