This research has aimed at constructing Criterion Referenced Test to measure the statistical competencies of the Post-graduate Students in Education Colleges in Yemeni Universities, at examining the validity of the test's grades (the descriptive validity and the Domain Selection Validity), at examining the test's grades Reliability according to (Livingston). In addition, it aims at determining the adequate Cut-off-Scores for every statistical Competency through which one can identify those students who are skillful or unskillful of this Competency, and finally to know to what extent the Post-graduate Students in Education Colleges in the Yemeni Universities are in full command of using these statistical Competencies which are included in this test. The researcher has used a method called Evaluation researches. The sample of the research has consisted of (157) students in the MA program. The researcher has constructed a test after following these stages (Analysis, test construction, try out, and print out the test). After following these stages the study has produced a Criterion Referenced Test to measure the statistical competencies of the Postgraduate Students in Education Colleges in the Yemeni Universities. This test includes (77) items which measure seven statistical Competencies which seem to be adequate: (Determining the basic statistical concepts and idioms--using and inferring the descriptive statistics--determining and explaining the connection element--using the parametric statistical methods--using the nonparametric statistical methods--reading and explaining the inferred results from the statistical program SPSS--and selecting the adequate statistical style). It has also been concluded that this test has a descriptive validity as well as Domain Selection Validity. It has been found that the test has a high Reliability according to Livingston which was reached at (0.99). The adequate cutoff-Scores is (0.63). There was also a clear decrease in the statistical Competencies of the students of the Postgraduate Students in Education Colleges in the Yemeni Universities.