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Stochastic frontier analysis was used to examine input demand elasticities and determinants of technical inefficiency of rainfed farmers in Nigeria. Allocative efficiency of the factor inputs was computed using the marginal value product. Our results show that herbicide has the highest elasticities. It is followed by seeds, fertilizers and land. Labour has the least contribution to the output. None of the respondents optimally allocated the inputs. A large number of the farmers underutilized the variables land, seeds, fertilizer and herbicide, whereas numerous farmers over-utilized labour. But in both cases, it was revealed that the use of more labour decreased the rice production from the study faster than any of the selected variables. Extension contact and access to credit are found to be significant determinants of the technical efficiency.