Applied Mathematics · Ch 8 — Index Numbers and Time-based Data
Time-reversal Test
8.8.2
Time-reversal Test
The time-reversal test checks whether an index-number method gives internally consistent results no matter which period is chosen as the base. Concretely, if the index for year 1 is computed using year 0 as the base, and then the index for year 0 is computed using year 1 as the base, multiplying the two results together should give exactly 1 — each comparison should exactly "undo" the other:
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