It is widely acknowledged that the scope for agricultural production can be expanded and sustained by peasant farmers within the limits of existing resource base and available technology if farm productivity is raised by efficiency use of resources (Harwood, 1987; Ali, 1996; Udoh, 2000). This exposition therefore forms the fundamental point why the concept of farm efficiency has remained important economic study especially in developing agricultural economies, where resources are meager and opportunities for developing and adopting better technologies are dwindling (Ali & Chaudhry, 1990; Tadesse & Krishnamoorthy, 1997). Several studies pertaining to traditional agriculture are modelled to investigate input mix and the resultant output level with particular reference to input-output space with given technology. Issues of low marginal productivities, elasticities of production and high yield gap are mostly evaluated in these studies. As such, policy options nevertheless suggest progressive introduction of modern technology and new production possibilities that would see the evolution of large farms (Singh, 1992). These options however negate the premise that farmers practicing traditional agriculture could be poor, but efficient in resource use. Therefore, operating on frontier due to productivity growth may not necessarily be a function of size provided that adequate technological innovations are involved. This could be the case for women in agriculture.