Index Numbers

Quantity Index Numbers

P Q_{t / 0} = \frac{\sum_{i = 1}^{N} P_{i t} Q_{i t}}{\sum_{i = 1}^{N} P_{i t} Q_{i 0}} \times 100

L Q_{t / 0} = \frac{\sum_{i = 1}^{N} P_{i 0} Q_{i t}}{\sum_{i = 1}^{N} P_{i 0} Q_{i 0}} \times 100

C P Q_{t / 0} = P Q_{1 / 0} \times P Q_{2 / 1} \times P Q_{3 / 2} \times . . . \times P Q_{t / t - 1} \times 100

C L Q_{t / 0} = L Q_{1 / 0} \times L Q_{2 / 1} \times L Q_{3 / 2} \times . . . \times P Q_{t / t - 1} \times 100

F Q_{t / 0} = \sqrt{P Q_{t / 0} \times L Q_{t / 0}} \times 100

C F Q_{t / 0} = \sqrt{C P Q_{t / 0} \times C L Q_{t / 0}} \times 100

P P_{t / 0} = \frac{\sum_{i = 1}^{N} P_{i t} Q_{i t}}{\sum_{i = 1}^{N} P_{i 0} Q_{i t}} \times 100

L P_{t / 0} = \frac{\sum_{i = 1}^{N} P_{i t} Q_{i 0}}{\sum_{i = 1}^{N} P_{i 0} Q_{i 0}} \times 100

C P P_{t / 0} = P P_{1 / 0} \times P P_{2 / 1} \times P P_{3 / 2} \times . . . \times P P_{t / t - 1} \times 100

C L P_{t / 0} = L P_{1 / 0} \times L P_{2 / 1} \times L P_{3 / 2} \times . . . \times L P_{t / t - 1} \times 100

F P_{t / 0} = \sqrt{P P_{t / 0} \times L P_{t / 0}} \times 1000

C F P_{t / 0} = \sqrt{C P P_{t / 0} \times C L P_{t / 0}} \times 100