Assessment of Item and Test parameters: Cosine Similarity Approach

Satyendra Nath Chakrabartty

Assessment of Item and Test parameters: Cosine Similarity Approach

Abstract

The paper proposes new measures of difficulty and discriminating values of binary items and test consisting of such items and find their relationships including estimation of test error variance and thereby the test reliability, as per definition using cosine similarities. The measures use entire data. Difficulty value of test and item is defined as function of cosine of the angle between the observed score vector and the maximum possible score vector. Discriminating value of test and an item are taken as coefficient of variation (CV) of test score and item score respectively. Each ranges between 0 and 1 like difficulty value of test and an item. With increase in number of correct answer to an item, item difficulty curve increases and item discriminating curve decreases. The point of intersection of the two curves can be used for item deletion along with other criteria. Cronbach alpha was expressed and computed in terms of discriminating value of test and item. Relationship derived between test discriminating value and test reliability as per theoretical definition. Empirical verifications of proposed measures were undertaken. Future studies suggested.re to enter text.

Keywords

References

Chakrabartty, Satyendra Nath (2013). Best split-half and maximum reliability. IOSR Journal of Research & Method in Education, 3(1), 01-08.
Chauhan,P.R., Ratrhod, S. P., Chauhan, B. R., Chauhan, G. R., Adhvaryu, A. and Chauhan, A.P. (2013) Study of difficulty level and discriminating ındex of stem type multiple choice questions of anatomy in rajkot, BIOMIRROR, 4(06), 1-4.
Denga, I. (2009).Educational measurement, continuous assessment and psychological testing. Rapid Educational Publishers.
Ebel, R.L. and Frisbie, D.A. (1991) Essentials of educational measurement. Prentice Hall of India Pvt. Ltd.
Ferrando, Pere. J. (2012).Assessing the discriminating power of item and test scores in the linear factor-analysis model. Psicologica, 33, pp. 111-134.
Hankins M. (2007). Questionnaire discrimination: (re)-introducing coefficient Delta. BMC Medical Research Methodology. 7:19. doi: 10.1186/1471-2288-7-19.
Henrysson, S. (1971) Gathering, analyzing and using data on test items. In R. L. Thondike (Ed.) Educational measurement (2nd ed. pp 130-159). American Council on Education.
Kehoe, Jerard (1995) Basic ıtem analysis for multiple-choice tests. ERIC/AE Digest. https://pareonline.net/ getvn.asp?v=4&n=10

Details

Primary Language

English

Subjects

Other Fields of Education

Journal Section

Research Article

Authors

Satyendra Nath Chakrabartty ^* This is me
0000-0002-7687-5044
India

Publication Date

July 25, 2021

Submission Date

November 29, 2020

Acceptance Date

June 9, 2021

Published in Issue

Year 2021 Volume: 8 Number: 3

IZ

https://izlik.org/JA65HR88JR

Cite

RIS / Bibtex

APA

Chakrabartty, S. N. (2021). Assessment of Item and Test parameters: Cosine Similarity Approach. International Journal of Psychology and Educational Studies, 8(3), 28-38. https://izlik.org/JA65HR88JR

AMA

1.Chakrabartty SN. Assessment of Item and Test parameters: Cosine Similarity Approach. IJPES. 2021;8(3):28-38. https://izlik.org/JA65HR88JR

Chicago

Chakrabartty, Satyendra Nath. 2021. “Assessment of Item and Test Parameters: Cosine Similarity Approach”. International Journal of Psychology and Educational Studies 8 (3): 28-38. https://izlik.org/JA65HR88JR.

EndNote

Chakrabartty SN (July 1, 2021) Assessment of Item and Test parameters: Cosine Similarity Approach. International Journal of Psychology and Educational Studies 8 3 28–38.

IEEE

[1]S. N. Chakrabartty, “Assessment of Item and Test parameters: Cosine Similarity Approach”, IJPES, vol. 8, no. 3, pp. 28–38, July 2021, [Online]. Available: https://izlik.org/JA65HR88JR

ISNAD

Chakrabartty, Satyendra Nath. “Assessment of Item and Test Parameters: Cosine Similarity Approach”. International Journal of Psychology and Educational Studies 8/3 (July 1, 2021): 28-38. https://izlik.org/JA65HR88JR.

JAMA

1.Chakrabartty SN. Assessment of Item and Test parameters: Cosine Similarity Approach. IJPES. 2021;8:28–38.

MLA

Chakrabartty, Satyendra Nath. “Assessment of Item and Test Parameters: Cosine Similarity Approach”. International Journal of Psychology and Educational Studies, vol. 8, no. 3, July 2021, pp. 28-38, https://izlik.org/JA65HR88JR.

Vancouver

1.Satyendra Nath Chakrabartty. Assessment of Item and Test parameters: Cosine Similarity Approach. IJPES [Internet]. 2021 Jul. 1;8(3):28-3. Available from: https://izlik.org/JA65HR88JR