STEM Research Paper Writing: Data Presentation & Methods Section

TL;DR: STEM research papers follow the IMRaD structure (Introduction, Methods, Results, Discussion). The methods section must be detailed enough for replication, and data presentation requires clear figures, properly formatted tables, and accurate statistical reporting. This guide covers both areas with discipline-specific examples and common mistakes to avoid.

Why STEM Papers Are Different from Other Academic Writing

STEM (Science, Technology, Engineering, and Mathematics) research papers differ fundamentally from humanities essays. They prioritize reproducibility, precision, and evidence-based reasoning over argumentation and interpretation.

The standard structure is IMRaD:

This structure is nearly universal across scientific disciplines. The International Committee of Medical Journal Editors (ICMJE) and the American Psychological Association (APA) both recommend IMRaD for empirical research papers.

How to Write the Methods Section

The methods section (sometimes called “Methodology” or “Materials and Methods”) is the backbone of any STEM paper. Its primary purpose is replicability: another researcher should be able to reproduce your study using only the information you provide.

What to Include

A complete methods section typically contains these subsections:

1. Participants or Subjects

Describe who or what was studied:

• Human studies: Sample size, demographic characteristics, inclusion/exclusion criteria, recruitment method, and ethical approval (IRB number).
• Animal studies: Species, strain, age, sex, housing conditions, and IACUC approval.
• In vitro / computational studies: Cell lines, software versions, algorithm parameters, and data sources.

Example (psychology):

“Participants were 127 undergraduate students (M age = 19.4, SD = 1.8; 68% female) recruited from introductory psychology courses. Participants received course credit for their involvement. The study was approved by the University Institutional Review Board (Protocol #2024-0341).”

2. Materials and Apparatus

List all instruments, equipment, software, and materials used:

• Survey instruments (include reliability coefficients like Cronbach’s alpha)
• Laboratory equipment (manufacturer, model, settings)
• Software and statistical packages (include version numbers)
• Chemicals and reagents (purity, supplier, catalog numbers)

3. Procedure

Describe the study process chronologically:

1. How participants were assigned to conditions (randomization method)
2. Step-by-step experimental protocol
3. Data collection procedures
4. Any manipulation checks or pilot testing

What we recommend: Write the procedure as a recipe. If a colleague cannot follow your steps and arrive at the same result, the section is incomplete.

4. Data Analysis

Specify:

• Statistical tests used (ANOVA, regression, t-tests, etc.)
• Software and version (e.g., R 4.3.1, SPSS 29, Python 3.11 with scikit-learn)
• Significance level (typically α = 0.05)
• How missing data were handled
• Any corrections applied (Bonferroni, Greenhouse-Geisser, etc.)

Common Methods Section Mistakes

Discipline-Specific Considerations

Engineering papers often include a “System Design” or “Experimental Setup” subsection with schematics, circuit diagrams, or CAD models.

Computer science papers may replace traditional methods with an “Algorithm” or “Architecture” section, including pseudocode and complexity analysis.

Biology papers typically require detailed strain information, growth conditions, and molecular biology protocols (PCR cycling conditions, primer sequences).

Data Presentation: Figures, Tables, and Statistical Reporting

How you present data can make or break a STEM paper. Clear, accurate data presentation helps reviewers and readers understand your findings quickly.

When to Use Tables vs. Figures

Rule of thumb: If the reader needs to look up specific numbers, use a table. If the reader needs to see a pattern, use a figure.

Creating Effective Tables

Follow these principles from the APA Publication Manual (7th ed.):

1. Number tables sequentially (Table 1, Table 2, etc.)
2. Give each table a clear, descriptive title above the table
3. Use horizontal lines only (no vertical lines in APA style)
4. Define all abbreviations in a note below the table
5. Report statistical significance using symbols (p < .05, *p < .01)

Example table structure:

Note. Values are means with standard deviations in parentheses.

Creating Effective Figures

Best practices for scientific figures:

1. Resolution: Minimum 300 DPI for print, 72 DPI for web
2. Font: Use sans-serif fonts (Arial, Helvetica) at readable sizes
3. Color: Use colorblind-friendly palettes (avoid red-green combinations)
4. Labels: Every axis must have a label with units
5. Legends: Include legends that explain all symbols and line types
6. File formats: TIFF or EPS for print, PNG or SVG for web

Tools commonly used for scientific figures include GraphPad Prism, R with ggplot2, Python with Matplotlib, and OriginLab.

Statistical Reporting Standards

Always report:

• Test statistic value (e.g., F(2, 124) = 5.67)
• Degrees of freedom
• Exact p-value (not just “p < .05” unless p < .001)
• Effect size (Cohen’s d, η², R², odds ratios)
• Confidence intervals (typically 95% CI)

Correct reporting example:

“A one-way ANOVA revealed a significant difference between groups, F(2, 147) = 8.34, p < .001, η² = 0.10. Post-hoc Tukey tests indicated that Group A (M = 62.1, 95% CI [59.4, 64.8]) scored significantly higher than Group B (M = 51.3, 95% CI [48.7, 53.9]), p < .001, d = 1.21.”

What to Avoid in Data Presentation

• Cherry-picking data: Report all relevant results, not just significant ones
• Misleading axes: Start bar chart axes at zero; clearly label any truncation
• Overplotting: Use jitter, transparency, or alternative visualizations for dense data
• Unlabeled error bars: Always specify whether error bars represent SD, SE, or CI
• Redundant presentation: Do not present the same data in both a table and a figure

The Results Section: Presenting Findings Objectively

The results section should present findings without interpretation. Save interpretation for the Discussion.

Structure Your Results Logically

Organize results by research question or hypothesis, not chronologically:

1. Restate each hypothesis or research question briefly
2. Present the relevant data (refer to tables and figures)
3. Report statistical outcomes using the standards above
4. Move to the next hypothesis

Writing Results That Flow

Instead of:

“We ran a t-test. The result was significant. Then we did an ANOVA.”

Write:

“To test Hypothesis 1, we compared post-test scores between the intervention and control groups. An independent-samples t-test revealed that the intervention group scored significantly higher (M = 72.4, SD = 8.1) than the control group (M = 61.2, SD = 9.3), t(98) = 6.45, p < .001, d = 1.29 (see Figure 1).”

Handling Non-Significant Results

Non-significant findings are still findings. Report them with the same rigor:

“Contrary to Hypothesis 3, there was no significant difference in retention scores between the two study methods, t(64) = 0.87, p = .39, d = 0.22.”

The Discussion Section: Interpreting Your Results

The discussion section answers the “so what?” question. Structure it as follows:

1. Summary of key findings (1-2 paragraphs)
2. Interpretation in context of existing literature (compare and contrast with prior studies)
3. Theoretical and practical implications
4. Limitations (be honest about methodological constraints)
5. Future research directions
6. Conclusion (brief, impactful closing)

What We Recommend for Strong Discussions

• Connect back to the Introduction: Answer the research questions you posed
• Acknowledge limitations proactively: Reviewers respect honest self-assessment
• Avoid overclaiming: Correlation does not equal causation; be precise about what your data support
• Suggest specific future studies: Not “more research is needed” but “future studies should examine X using Y method”

Formatting and Style Guidelines for STEM Papers

General Formatting

Most STEM papers follow one of these style guides:

• APA 7th edition: Psychology, education, social sciences, nursing
• IEEE: Engineering, computer science, electronics
• ACS: Chemistry
• AMA: Medicine, health sciences
• CSE (Council of Science Editors): Biology, general sciences

Writing Style

• Use past tense for methods and results (what you did, what you found)
• Use present tense for established facts and conclusions
• Avoid first person in most STEM fields (though APA 7th now permits “we” when describing your own actions)
• Be concise: Remove unnecessary words and jargon
• Define abbreviations at first use

Common STEM Abbreviations

Checklist: Before You Submit Your STEM Paper

Use this checklist to verify your paper is ready:

Methods Section:

• Participants/subjects described with sufficient detail
• All materials, instruments, and software listed with version numbers
• Procedure described step-by-step
• Ethical approval statement included
• Statistical analysis plan specified
• Section is detailed enough for replication

Data Presentation:

• All tables numbered sequentially with descriptive titles
• All figures have labeled axes with units
• Statistical results include test statistic, df, p-value, and effect size
• Error bars are labeled (SD, SE, or CI)
• No data is presented redundantly in both tables and figures
• Colorblind-friendly palettes used in figures

Results Section:

• Organized by hypothesis/research question
• Findings reported objectively without interpretation
• Non-significant results reported alongside significant ones
• All tables and figures referenced in text

Discussion Section:

• Key findings summarized
• Results compared with existing literature
• Limitations acknowledged
• Specific future research directions suggested
• No new results introduced

Related Guides

• How to Write a Research Paper: Step-by-Step for Beginners
• Research Paper Outline Template: Fill-in-the-Blank Structure
• How to Write an Abstract for Research Paper
• How to Write a Literature Review

Frequently Asked Questions

What is the IMRaD format in STEM papers?
IMRaD stands for Introduction, Methods, Results, and Discussion. It is the standard structure for empirical research papers across scientific disciplines, ensuring logical flow from research question to conclusion.

How detailed should the methods section be?
Detailed enough that another researcher could replicate your study exactly. Include participant characteristics, materials with specifications, step-by-step procedures, and statistical analysis plans.

Should I include raw data in my STEM paper?
Raw data typically goes in supplementary materials or a data repository (such as Zenodo). The main paper should present summarized data through tables and figures.

What is the difference between SD and SE in error bars?
Standard deviation (SD) shows variability in your sample data. Standard error (SE) shows precision of your mean estimate. Always label which one you are using, as they convey different information.

Can I use first person (“I” or “we”) in STEM papers?
Many style guides now permit first person when describing your own actions (e.g., “We conducted three experiments”). However, check your target journal’s specific guidelines, as some still prefer passive voice.

Summary and Next Steps

Writing a strong STEM research paper requires mastering two critical skills: describing your methodology with enough precision for replication, and presenting your data clearly and accurately. The methods section is your study’s blueprint, while effective data presentation ensures your findings are understood and trusted.

Key takeaways:

• Follow the IMRaD structure for logical organization
• Write methods that enable exact replication
• Choose tables for exact values, figures for patterns
• Report complete statistical information (test statistic, df, p-value, effect size, CI)
• Keep results objective; save interpretation for the discussion

If you need expert assistance with your STEM research paper—from structuring your methods section to creating publication-quality figures—our team of advanced writers with STEM backgrounds can help. Contact us to discuss your project, or place an order to get started today.