Set B - Question 2

Question Details

• A. A researcher has published 12 papers with varying citation counts as shown in the table provided. Calculate the $h$-index and $g$-index of the researcher. Plot a suitable graph to visually represent the indices. (5 Marks)

  Paper No.	No. of Citations	Paper No.	No. of Citations
  1	12	13	3
  2	8	14	4
  3	6	15	22
  4	25	16	18
  5	20	17	10
  6	18	18	16
  7	15	19	40
  8	4	20	35
  9	23	21	30
  10	10	22	7
  11	3	23	15
  12	1	24	8

• B. For Journal "ABC", the following data on the number of articles published and citations received are given for each year. Calculate the impact factor for the year 2024 and the Cite Score. (5 Marks)

  • Citations received in 2024 = 760
  • Citations received in 2023 = 840
  • Citations received in 2022 = 620
  • Citations received in 2021 = 540
  • Papers published in 2024 = 190
  • Papers published in 2023 = 210
  • Papers published in 2022 = 180
  • Papers published in 2021 = 170

• C. The following journal article reference is provided:

  R. K. Gupta and S. Mehta, "Solar PV Efficiency Improvements in India," Journal of Renewable Energy Research, Vol. 12, No. 3, pp. 145-158, 2021.

  Convert the given reference into APA, IEEE, and Chicago referencing styles. Explain the major difference among these three referencing styles with respect to the formatting of authors' names, publication year, and journal details. (5 Marks)

• D. A research scholar has developed an AI-based prediction system using patients' clinical records, lifestyle information, dietary patterns, and demographic characteristics to identify individuals at high risk of developing diabetes. Identify suitable Indian funding agencies for the proposed research and justify the suitability of any two agencies based on their research scope and funding objectives. (5 Marks)

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Model Answer

A. Calculate the $h$-index and $g$-index of the researcher and plot a suitable graph to visually represent the indices. (5 Marks)

1. Ranked Citation Table (Full 24 Papers in Table) (1.5 Marks)

Sort papers in descending order of citations ($c_i$), calculate cumulative citations ($\sum c$), and test against rank $i$ and $i^2$:

Rank ($i$)	Citations ($c_i$)	Cum. Citations ($\sum c$)	$c_i \ge i$ ($h$-test)	$i^2$	$\sum c \ge i^2$ ($g$-test)
1-10	40 down to 16	40 to 247	True	1 to 100	True
11	15	262	True	121	True
12	15	277	True ($15 \ge 12$)	144	True
13	12	289	False ($12 < 13$)	169	True
14-17	10 down to 8	299 to 325	False	196 to 289	True
18	7	332	False	324	True ($332 \ge 324$)
19	6	338	False	361	False ($338 < 361$)
20-24	4 down to 1	342 to 353	False	400 to 576	False

2. Index Determinations (2 Marks)

• $h$-index (1 Mark):
  Largest rank $h$ where $c_h \ge h$.
  At rank 12: $c_{12} = 15 \ge 12$ (True); at rank 13: $c_{13} = 12 < 13$ (False).
  $\mathbf{h\text{-index} = 12}$
• $g$-index (1 Mark):
  Largest rank $g$ where $\sum_{k=1}^g c_k \ge g^2$.
  At rank 18: $\sum c = 332 \ge 18^2 = 324$ (True); at rank 19: $\sum c = 338 < 19^2 = 361$ (False).
  $\mathbf{g\text{-index} = 18}$
• (Note: If evaluated strictly on the first 12 papers only: $h = 8$ and $g = 12$).

3. Visual Representation (1.5 Marks)

Citations
  ^
40 | * [Rank 1: 40]
30 |       * [Rank 3: 30]
20 |                 * [Rank 7: 20]
15 |                      * [Rank 12: 15] <--- h = 12 (Intersection with y = x)
10 |                          *
 7 |                              * [Rank 18: 7] <--- g = 18 (Cum = 332 >= 18^2)
 0 +-------------------------------------------> Rank (i)
   0         5         10   12    15   18   24
                            |          |
                          h = 12     g = 18

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B. For Journal "ABC", calculate the Impact Factor for the year 2024 and the CiteScore. (5 Marks)

1. Journal Impact Factor (JIF) for 2024 (2.5 Marks)

Evaluates citations in 2024 to citable items published in the preceding two calendar years (2022 and 2023):

$\text{JIF}_{2024} = \frac{\text{Citations in 2024 to items in (2022 + 2023)}}{\text{Papers published in (2022 + 2023)}} = \frac{760}{180 + 210} = \frac{760}{390} \approx \mathbf{1.95}$

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2. CiteScore Calculation (2.5 Marks)

• Official Scopus 4-Year Window (2021-2024):
  $\text{CiteScore} = \frac{\text{Total citations in 4 years (2021-2024)}}{\text{Total papers in 4 years (2021-2024)}} = \frac{540 + 620 + 840 + 760}{170 + 180 + 210 + 190} = \frac{2760}{750} = \mathbf{3.68}$
• (Alternative 3-year legacy window: $\frac{760}{170 + 180 + 210} = \frac{760}{560} \approx \mathbf{1.36}$).

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Summary Table

Metric	Formula	Calculated Value	Final Result
Impact Factor (2024)	$\frac{760}{180 + 210}$	$1.9487$	$1.95$
CiteScore (4-Year Window)	$\frac{2760}{750}$	$3.6800$	$3.68$
CiteScore (3-Year Legacy)	$\frac{760}{560}$	$1.3571$	$1.36$

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C. Reference Style Conversions & Comparative Analysis (5 Marks)

Source: R. K. Gupta and S. Mehta, "Solar PV Efficiency Improvements in India," Journal of Renewable Energy Research, Vol. 12, No. 3, pp. 145-158, 2021.

1. Reference Style Conversions (3 Marks)

• APA Style (7th Edition) (1 Mark):
  Gupta, R. K., & Mehta, S. (2021). Solar PV efficiency improvements in India. Journal of Renewable Energy Research, 12(3), 145-158.
• IEEE Style (1 Mark):
  [1] R. K. Gupta and S. Mehta, "Solar PV efficiency improvements in India," J. Renew. Energy Res., vol. 12, no. 3, pp. 145-158, 2021.
• Chicago Style - Author-Date (1 Mark):
  Gupta, R. K., and S. Mehta. 2021. "Solar PV Efficiency Improvements in India." Journal of Renewable Energy Research 12 (3): 145-158.

2. Comparison of Key Formatting Differences (2 Marks)

Element	APA (7th Edition)	IEEE Style	Chicago (Author-Date)
Author Names	Inverted surname first with ampersand: Gupta, R. K., & Mehta, S.	First initials first: R. K. Gupta and S. Mehta	Inverted first author only: Gupta, R. K., and S. Mehta.
Year of Publication	Directly follows authors in parentheses: (2021).	Placed at the very end of the entry: 2021.	Follows authors without parentheses: 2021.
Article Title	Sentence-case, plain text (no quotes)	Title in double quotation marks	Title in double quotation marks, headline capitalized
Volume & Page Details	12(3), 145-158 (italicized volume, no prefixes)	Explicit prefixes: vol. 12, no. 3, pp. 145-158	Colon notation: 12 (3): 145-158

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D. Identify suitable Indian funding agencies for the proposed research and justify the suitability of any two agencies based on their research scope and funding objectives. (5 Marks)

1. Suitable Indian Funding Agencies (1 Mark)

• ICMR - Indian Council of Medical Research
• DST - Department of Science and Technology (Biomedical Device & Technology Development / AI Missions)
• DBT - Department of Biotechnology
• MeitY - Ministry of Electronics and Information Technology (AI in Healthcare)

2. Detailed Justification of Two Selected Agencies (4 Marks)

1. Indian Council of Medical Research (ICMR) (2 Marks):
   • Scope: Apex national body for biomedical research, clinical epidemiology, and non-communicable diseases (diabetes, metabolic disorders).
   • Funding Objectives: Prioritizes early risk-stratification models, screening tools for vulnerable populations, and scalable preventive healthcare interventions across Indian primary health centers.
2. Department of Science and Technology (DST) (2 Marks):
   • Scope: Funds multidisciplinary technological innovation under Cognitive Science, Biomedical Engineering, and the National Mission on AI.
   • Funding Objectives: Provides R&D grants for clinical data pipelines, predictive machine learning models, and prototype clinical decision support systems (CDSS) for hospitals.