Open Access Open Access  Restricted Access Subscription or Fee Access

Discriminating Value of Item and Test

Satyendra Nath Chakrabartty


The paper proposes methods of obtaining discriminating value of items and scale consisting of binary items and also for Likert items, from a single administration making no assumption of continuous nature of data or linearity or normality for the observed or the underlying variable being measured. Relationships derived between difficulty and discriminating values of binary items and test and relationship between test reliability and test discriminating value.
Discriminating value of Likert items and questionnaire were computed considering seven dissimilarity measures using the operations which are permissible for a Likert scale i.e. considering frequency or proportion for each cell of the Item- Response category matrix. Major features of the methods discussed and comparison of the proposed methods in terms of desired properties was undertaken. Condition for monotonically increasing was derived separately for each method. Based on theoretical advantages, measure based on CV appears to be best method for discriminating values of Likert items and scale and is recommended. Moreover, it is easy to estimate population CV and undertake other statistical inferences. Reliability as an association of two vectors and discrimination as a distance between the vectors showed a negative relationship.


Discriminating value, Angular Association, Bhattacharya’s measure, K-L distance, Hellinger measure, Co-efficient of variation

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.