The Grid approach provides a vision to access, use, and manage heterogeneous resources in virtual organizations across multiple domains and organizations. This paper foremost analyses some of the issues related to establishing trust and reputation in a Grid. Integrating reputation into quality management provides a way to reevaluate resource selection and service level agreement mechanisms. We introduce a reputation management framework for Grids to work toward facilitating the complex task of improving the quality of resource selection. Based on community experience we adapt trust and reputation of entities through specialized services. Simple contextual quality statements are evaluated in order to effect the reputation for a monitored resource. Additionally, we introduce a novel algorithm for evaluating Grid reputation by combining two known concepts using eigenvectors to compute reputation and integrating global trust.