Cited by 109Innovations in Medical EducationEducational Assessment and PedagogyPsychometric Methodologies and Testing

Item analysis of multiple choice questions: A quality assurance test for an assessment tool

Open access
Kumar, Dharmendra, Jaipurkar, Raksha, Shekhar, Atul, Sikri, Gaurav, Srinivas, V.·2021·Medical Journal Armed Forces India

Abstract

Background The item analysis of multiple choice questions (MCQs) is an essential tool that can provide input on validity and reliability of items. It helps to identify items which can be revised or discarded, thus building a quality MCQ bank.Methods The study focussed on item analysis of 90 MCQs of three tests conducted for 150 first year Bachelor of Medicine and Bachelor of Surgery (MBBS) physiology students. The item analysis explored the difficulty index (DIF I) and discrimination index (DI) with distractor effectiveness (DE). Statistical analysis was performed by using MS Excel 2010 and SPSS, version 20.0.Results Of total 90 MCQs, the majority, that is, 74 (82%) MCQs had a good/acceptable level of difficulty with a mean DIF I of 55.32 ± 7.4 (mean ± SD), whereas seven (8%) were too difficult and nine (10%) were too easy. A total of 72 (80%) items had an excellent to acceptable DI and 18 (20%) had a poor DI with an overall mean DI of 0.31 ± 0.12. There was significant weak correlation between DIF I and DI (r = 0.140, p < .0001). The mean DE was 32.35 ± 31.3 with 73% functional distractors in all. The reliability measure of test items by Cronbach alpha was 0.85 and Kuder-Richardson Formula 20 was 0.71, which is good. The standard error of measurement was 1.22.Conclusion Our study helped teachers identify good and ideal MCQs which can be part of the question bank for future and those MCQs which needed revision. We recommend that item analysis must be performed for all MCQ-based assessments to determine validity and reliability of the assessment.

AI snapshot

Written from the paper’s full text.

TL;DR

This study performed item analysis on 90 multiple choice questions from three physiology assessments for 150 first-year MBBS students to evaluate difficulty, discrimination, distractor effectiveness, and reliability. Most items had acceptable difficulty and discrimination, but only 20% met all criteria for an ideal MCQ.

Key findings

  • Of 90 MCQs, 74 (82%) had good/acceptable difficulty (DIF I 30–70%; mean 55.32 ± 7.4), 7 (8%) were too difficult, and 9 (10%) were too easy; 34 (38%) were excellent/ideal (DIF I 50–60%).
  • For discrimination, 72 (80%) items had acceptable-to-excellent DI (>0.20) and 18 (20%) had poor DI (≤0.20); 61 (68%) had good-to-excellent DI (≥0.25), with overall mean DI 0.31 ± 0.12. DIF I and DI showed a weak correlation (r = 0.140, p < .0001).
  • Of 270 distractors, 198 (73%) were functional and 72 (27%) were non-functional; DE was poor in 2 (2%), moderate in 8 (9%), good in 50 (56%), and excellent in 30 (33%) items. Mean DE was 32.35 ± 31.3.
  • Reliability was Cronbach alpha 0.85, KR-20 0.71, and SEM 1.22; 18 (20%) MCQs fulfilled all three criteria for an ideal MCQ (DIF I 30–70%, DI ≥0.25, 100% DE).

Methods

  • Item analysis of 90 single-best-response MCQs from three internal assessments for 150 first-year MBBS physiology students; each MCQ had a stem and four options with one correct response and three distractors, scored 1 for correct and 0 for wrong, with no negative marking.
  • The upper and lower 27% (41 students each) were classified as high and low achievers; DIF I was calculated as (H + L) × 100/N, DI as 2 × (H − L)/N, and DE was based on non-functional distractors selected by <5% of students.
  • Internal consistency was assessed with Cronbach alpha, KR-20, and SEM; skewness and kurtosis were also measured; analysis used MS Excel 2010 and SPSS version 20.0.

Limitations

  • Not stated in the paper; the text does not include an explicit limitations section.
  • Evident from the text: the study was conducted in a single institution and single discipline (physiology) with first-year MBBS students across three internal assessments, so generalizability is limited.
  • Evident from the text: the analysis is descriptive and does not report follow-up after revising or discarding flawed items, nor does it evaluate whether item revisions improved future assessments.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.1016/j.mjafi.2020.11.007

Cites

22 of 22 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Claims the paper makes

0 of 4 cited sources checked · 0 supported · 0 flagged

  • Findingown data
    § Results

    11 (12%) items had an acceptable DI (0.21-0.24).

    “Of total 90 MCQs, 18 (20%) MCQ items had a poor DI (≤0.20), 11 (12%) items had an acceptable DI (0.21–0.24), 32 (36%) showed a good DI (0.25–0.34) and 29 (32%) items showed an excellent DI (≥0.35) (Table 3).”
    Quote in the paperNot a substantial claim
  • Findingown data
    § Results

    29 (32%) items showed an excellent DI (≥0.35).

    “Of total 90 MCQs, 18 (20%) MCQ items had a poor DI (≤0.20), 11 (12%) items had an acceptable DI (0.21–0.24), 32 (36%) showed a good DI (0.25–0.34) and 29 (32%) items showed an excellent DI (≥0.35) (Table 3).”
    Quote in the paperNot a substantial claim
  • Findingown data
    § Results

    Seven (8%) MCQs were too difficult (DIF I <30%).

    “Results of the DIF I showed that of 90 MCQs, 74 (82%) MCQs had good/acceptable levels of difficulty (DIF I 30–70%), whereas seven (8%) were too difficult (DIF I <30%) and nine (10%) were too easy (DIF I >70%).”
    Quote in the paperNot a substantial claim
  • Findingown data
    § Results

    Of the 90 MCQs, 74 (82%) had a good/acceptable level of difficulty (DIF I 30-70%).

    “Results of the DIF I showed that of 90 MCQs, 74 (82%) MCQs had good/acceptable levels of difficulty (DIF I 30–70%), whereas seven (8%) were too difficult (DIF I <30%) and nine (10%) were too easy (DIF I >70%).”
    Quote in the paperSubstantial claim
  • Findingown data
    § Results

    Among all MCQs, 34 (38%) had excellent/ideal levels of difficulty (DIF I 50-60%).

    “Among all MCQs, 34 (38%) MCQs had excellent/ideal levels of difficulty (DIF I 50–60%) (Table 2).”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim. 2
  • May combine two claims. 5
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationown data
    § Discussion

    The distribution of data is approximately normal.

    “In this study, Skewness and Kurtosis values (0.59 and 0.69) represent the moderately skewed data with tail on the right side of the distribution and data are lighttailed (lack of outliers) i.e distribution of data is approximately normal.17”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [17] Mishra, 2019, Descriptive statistics and normality tests for statistical data, Ann Card Anaesth source

      Not checked in the free run.

  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation
    § Introduction

    The SEM is directly related to the reliability of the test.

    “The SEM is directly related to the reliability of the test.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [11] McManus, 2012, The misinterpretation of the standard error of measurement in medical education: a primer on the problems, pitfalls and peculiarities of the three different standard errors of measurement, Med Teach source

      Not checked in the free run.

  • May combine two claims.

    Interpretationown data
    § Discussion

    The overall validity of the test was good with a Cronbach alpha of 0.85, KR 20 = 0.71 and SEM 1.22.

    “In this study, the results showed that the overall validity of the test was good with a Cronbach alpha of 0.85, KR 20 = 0.71 and SEM 1.22.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationown data
    § Discussion

    The items were acceptably difficult and were good at differentiating students with higher and lower abilities.

    “Therefore, items were acceptably difficult and were good at differentiating students with higher and lower abilities.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Premisecitation
    § Discussion

    More non-functional distractors make an MCQ easy and more functioning distractors make it difficult.

    “More NFD makes MCQ easy and vice versa with more functioning distractors making it difficult.23”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [23] Tarrant, 2009, An assessment of functioning and non-functioning distractors in multiple-choice questions: a descriptive analysis, BMC Med Educ source

      Not checked in the free run.

  • May combine two claims.

    Interpretationown data
    § Discussion

    The items analysed in this study were neither too easy nor too difficult.

    “Items analysed in this study were neither too easy nor too difficult which is acceptable.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationown data
    § Discussion

    The weak correlation between DIF I and DI indicates that with increasing DIF I, the ability to discriminate between high and low scorers decreased and fewer easy questions were used in MCQ tests.

    “The present study shows weak correlation between the DIF I and DI (r = 0.140, p < .0001), indicating that with increasing the DIF I, the ability to discriminate between the high and low scorers decreased and fewer easy questions were used in MCQ tests.”
    Quote in the paperSubstantial claim
7 of 7
  • The authors state this as an assumption.

    Any test score contains an error.

    “Based on the assumption that any test score contains an error, SEM is used to estimate a band or interval within which a person's true score would fall, that is, the score if there were no error of measurement.”
  • The paper relies on this without support.

    A non-functional distractor can reduce the discrimination power of an MCQ.

    “A non-functional distractor can reduce the discrimination power of a MCQ.”
  • The paper relies on this without support.

    The efficiency of MCQ assessment is solely based upon the quality of test MCQs.

    “The efficiency of MCQ assessment is solely based upon the quality of test MCQs.”
3 of 3

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The DIS ranged from 1.0 to − 1.0.

    “The DIS ranged from 1.0 to − 1.0.”
  • Item analysis provides feedback about item construction and its validity and reliability after it appears in an examination.

    “Item analysis provides feedback about item construction and its validity and reliability after it appears in an examination [5, 35, 36].”
  • A positive DIS indicates that high achievers answered the item more correctly than lower achievers.

    “A positive DIS indicates that high achievers answered the item more correctly than lower achievers and vice versa [35, 44].”
  • Such findings were reported in anatomy exam [48], community Medicine [49], and multidisciplinary summative exams [50, 51] that were constructed traditionally.

    “Such findings were reported in anatomy exam [48], community Medicine [49], and multidisciplinary summative exams [50, 51] that were constructed traditionally.”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

Each contradiction between two passages listed here was confirmed by an independent check.

  • Positive correlation is described as a decrease

    Major

    A positive correlation indicates that the two indices tend to increase together, whereas the discussion says discrimination decreased as the difficulty index increased.

  • Mean test score is presented as both a score and a percentage

    Minor

    The results give 47.35 as a mean score out of 90, while Table 1 labels the same value a percentage. A score of 47.35 out of 90 is not 47.35%.

2 of 2

Cites

Flagged first, then by citations

3 of the 25 references couldn’t be matched to a known paper.

Research works printed but not linked: 1

  1. Patil, 2015, Item analysis of medicine multiple choice questions (MCQs) for undergraduate (3rd year MBBS) students, Res J Pharmaceut Biol Chem Sci, 6, 1242

Cited by

Sorted by citations

Authors
Kumar, D., Jaipurkar, R., Shekhar, A., Sikri, G., & Srinivas, V.
Affiliations
Armed Forces Medical College (IN)
Corresponding author
Jaipurkar, Raksha
Venue
Medical Journal Armed Forces India
Publisher
Elsevier BV
Published
2021-02
Volume
77
Issue
Suppl 1
Pages
S85-S89
ISSN
0377-1237 (ISSN-L)
OpenAlex
W3127024416
Cited by
109
References
25
Citations by year
2026: 24 · 2025: 19 · 2024: 33 · 2023: 21 · 2022: 9 · 2021: 3
FWCI
14.27
Type
journal article
Language
en
Open access
Locations
  • Medical Journal Armed Forces India (publishedVersion)
  • PubMed Central (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Innovations in Medical Education
  • Social Sciences › Education › Educational Assessment and Pedagogy
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
Keywords
item analysis, multiple-choice questions, item difficulty, item discrimination, distractor effectiveness, question bank, test validity, test reliability, medical education assessment, physiology education, MBBS students

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