Let

• be the area under i^thcrop in the j^thyear in k^thstate.
• be the area under i^thcrop in base year period in k^thstate.
• be the production of i^thcrop in the j^thyear in k^thstate.
• be the production of i^th crop in base year period in k^th state.
•  be the weight of i^th crop in k^th state.
•  be the price per unit of the i^th crop in the base period.
• For the state k and for the year j, individual crop indices are calculated as below:
  • Index number of area= 
  • Index number of production= 
  • Index number of yield= 
• For any sub-group G of commodities, the indices are for the year j and state k are as below:
  • Index number of area=  The state index is obtained by including all the items of the state in sub group G where the summation is taken over items in G.
  • Index number of production= 
  • Index number of yield=