This paper provides a review of procedures for detection of differential item functioning (DIF) for item response theory (IRT) and observed score methods for the graded response model. In addition, data from a test anxiety scale were analyzed to examine the congruence among these procedures. Data from Nasser, Takahashi, and Benson (1997) were reanalyzed for purposes of this study. The data were obtained from participants' responses to an Arabic Version of Sarason's (1984) Reactions to Test (RTT) scale. The sample consisted of 421 tenth graders from two Arab high schools in the central district of Israel. Results indicated stronger agreement within IRT methods and within observed score methods than between these two sets of DIF detection methods. A discussion is included focusing on reasons for these similarities and differences. Results of this study can provide useful information about the relationships to expect between various DIF detection methods. (Contains 10 tables and 49 references.) (Author/SLD)