Date of Award


Degree Type


Degree Name

Master of Mathematics (MMath)


Mathematics and Statistics

Committee Chair(s)

Brynja Kohler


Brynja Kohler


James Cangelosi


John Stevens


This report discusses the process of assessing the validity of a test. We provide an analysis of the validation study of a test administered to the first semester calculus students at Utah State University in the Fall 2011 semester. The results of our analysis suggest that the test has some measurement relevance. This implies that the subject contents of the test correlate with the syllabus of the course. Thus, the measurement has some learning level relevance. Our analysis also revealed that the measurement has a high reliability coefficient which signifies some internal consistency of the mea- surement. The relevancy and reliability of this measurement provides an indication of the validity of the test for it to be administered in a classroom. Furthermore, we perform item analysis to know the quality of the test items. The computed indices of discrimination, difficulty, and efficiency for each measurement item suggest that most of the items are effective (i.e., it is possible to discriminate between high and low students' achievements on the test's objectives), moderate (i.e., the items were neither too easy nor too hard), and efficient (i.e., the items perform well in the test).


This work made publicly available electronically on October 2, 2012.

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