There are 3 different types Resource Allocation schemes available in LTE. Type0, Type1 and Type 2.
Refer to LTE Physical Layer Specification 36212 and 36213 for detailed explanation on what does each mean and when to use which type. You can even refer to DCI Format details for understanding of which type is used when.
DCI Format 1, 2, and 2A will have Type 0 or Type 1 And remaining DCI Formats 1A, 1B, 1C, and 1D will have Type 2.