You’ve completed the research. You’ve run the analyses. Now you need to write the results section—the part of your paper where you present what you actually found. This is where many students and even experienced researchers stumble. They either interpret their findings prematurely, report statistics incorrectly, or fail to distinguish results from discussion. In quantitative research, the results section is your evidence. It’s what allows readers to evaluate your work, replicate your findings, and trust your conclusions. Done poorly, it invalidates your entire study. Done well, it provides a clear, objective foundation for your contribution to the field.
The purpose of data analysis writing in the results section is singular: to report what the data show, nothing more. No interpretation. No speculation about why. Just the facts, formatted precisely according to your target journal’s or instructor’s style guide. This separation is fundamental to scientific communication—the results tell us what happened; the discussion explains what it means.
This guide covers everything you need to write an effective statistical results section. We’ll examine the universal structure that works across disciplines, detail the formatting requirements of the three major style guides (APA, AMA, Chicago), highlight common mistakes that even seasoned researchers make, and provide discipline-specific guidance. You’ll learn how to integrate tables and figures effectively, use the right tense and voice, and format statistical symbols correctly. Most importantly, you’ll understand the principle that makes results sections readable, credible, and publishable: objectivity through precise reporting.
The results section is the narrative account of your statistical findings. It presents the data you collected, the analyses you performed, and the outcomes of those analyses—organized logically, formatted correctly, and stated objectively. According to the American Psychological Association, the results section should “present the findings of your study without interpretation, in a neutral and objective manner” (Purdue OWL, 2023). This objectivity is not optional; it’s the foundation of empirical research.
The results section answers specific research questions through statistical tests. If your hypothesis was “Group A will score higher than Group B on the memory test,” your results section states whether that’s true, supported by the actual t-test or ANOVA output. It reports: “The difference was significant, t(58) = 2.45, p = .017.” Full stop. The discussion later explains why that difference exists and what it means for memory theory.
This distinction cannot be overstated. Results = what you found. Discussion = why it matters. The results section tells us that “treatment group participants lost an average of 5.2 kg (SD = 1.8) compared to 0.7 kg (SD = 1.2) in the control group, F(1, 84) = 12.34, p = .001.” The discussion interprets that finding: “The 5.2 kg average loss suggests our intervention is clinically meaningful, possibly because it combined dietary changes with behavioral support, addressing both caloric intake and habit formation.”
Mixing these two purposes creates what reviewers call “results-discussion confusion,” a fatal flaw that leads to desk rejection or poor grades. When you find yourself writing “This likely occurred because…” or “These findings suggest that…”—stop. That’s discussion. Move it to the discussion section. The results section is purely descriptive.
Some formats—particularly theses, dissertations, and certain journal articles (especially in medicine and engineering)—combine results and discussion into a single “Results and Discussion” section. This format is common when the study is exploratory, when space is limited, or when the discipline expects integrated presentation. Even then, you should clearly separate the two components within the combined section. A common approach: present the statistical finding first, then immediately follow with a brief interpretation sentence. But use this format only when explicitly required; most academic journals and APA-style papers demand separate sections.
Results are what you found. Therefore, use past tense: “The analysis showed…” “Group A performed better…” “The correlation was significant…” The only exception is when referring to figures or tables that exist in the present document: “As shown in Table 1…” “Figure 2 illustrates…” These use present tense because the table and figure are current elements of your paper.
Traditionally, scientific writing favored passive voice (“It was found that…”) to maintain objectivity and de-emphasize the researcher. Modern style guides increasingly accept active voice (“We found that…”) because it’s clearer and more direct. APA 7th edition explicitly states that authors “should use first person to refer to themselves and their work rather than third person” when appropriate (APA, 2020). The key is consistency and clarity. If your discipline or journal uses passive voice, follow that convention. When in doubt, active voice is usually acceptable and often preferred for readability.
Regardless of discipline or statistical method, an effective results section follows a logical order that mirrors your research process. This structure makes your findings easy to follow and demonstrates methodological transparency.
Start with descriptive statistics—means, standard deviations, frequencies, medians, interquartile ranges. These tell the reader what your sample looked like and provide baseline information. For each variable of interest, report its central tendency and variability. If you have groups, report these separately.
Next, present inferential statistics—the tests that answered your research questions. Organize these by hypothesis or research question, not by statistical method. If you had three hypotheses, address them in order. For each, state the test used, the test statistic, degrees of freedom, p-value, and effect size. Reference tables or figures for detailed data.
Finally, report supplemental analyses if you conducted any: post-hoc tests, subgroup analyses, assumption checks, exploratory analyses. Be transparent about what was planned versus exploratory.
Don’t organize your results by statistical test (e.g., “t-tests, then ANOVAs, then regressions”). That makes readers work to connect findings to your research questions. Instead, structure results around your hypotheses:
H1: Participants receiving intervention will show greater improvement than controls.
Results: The intervention group improved significantly more (M = 12.5, SD = 3.2) than controls (M = 8.1, SD = 2.9), t(58) = 4.21, p < .001, d = 0.75.
H2: The intervention effect will be stronger for participants with high baseline anxiety.
Results: …
This structure is reader-friendly and shows you tested what you said you would test.
Use descriptive subheadings to guide readers. For example:
These subheadings are not mandatory in all journals (some use only H2 for major sections), but they dramatically improve readability, especially in longer papers or theses.
Report all results that address your research questions—including non-significant findings. Omitting non-significant results is unethical and introduces publication bias. If you tested it and it’s relevant to your hypotheses, report it. “The difference between groups was not statistically significant, t(42) = 0.83, p = .41, d = 0.13.” This transparency is essential for scientific integrity.
Different disciplines use different style guides, each with specific formatting rules for statistics. Using the wrong format signals inexperience and may lead to point deductions or manuscript rejection. Here’s what you need to know about the three most common guides.
APA style is the standard for psychology, education, and many social sciences. It’s precise about statistical formatting.
Basic format: Test statistic (italicized), degrees of freedom, exact p-value, effect size.
t(50) = 2.45, p = .034, d = 0.50
F(2, 87) = 3.56, p = .032, η² = 0.08
r(48) = 0.47, p = .001
χ²(3) = 9.82, p = .020
Key rules:
Example paragraph:
Participants who received cognitive-behavioral therapy reported significantly lower anxiety scores (M = 18.3, SD = 5.2) than those in the waitlist control group (M = 24.7, SD = 4.9), t(58) = 4.23, p < .001, d = 0.78. The 95% CI for the mean difference was [-9.1, -3.4].
AMA style, used in medical journals, emphasizes clinical significance and confidence intervals.
Basic format: Italicize P, t, F, r, N. Report to 2 decimals (P to 3 if < .01). Use en dash for CI ranges.
P = .03
OR, 1.25 (95% CI, 1.10-1.40)
t = 2.45, P = .017
mean (SD) or median (IQR)
Key rules:
Example paragraph:
The intervention group achieved a mean reduction in systolic blood pressure of 12.5 mm Hg (SD = 4.2) compared to 2.1 mm Hg (SD = 3.8) in controls (t = 7.32, P < .001). The odds of achieving target blood pressure were 2.3 times higher in the intervention group (OR, 2.3; 95% CI, 1.5-3.6).
Chicago Author-Date, used in many social sciences and some natural sciences, emphasizes in-text citations with year.
In-text citations: (Author Year, page) or Author (Year).
Reference list: Author. Year. Title. Publisher. URL.
For statistics themselves, Chicago doesn’t have as many rigid formatting rules as APA or AMA, but follows general scientific conventions:
Example:
As shown in Table 1, treatment effects were substantial (M = 15.3, SD = 2.1 for treatment; M = 10.2, SD = 1.9 for control), t(42) = 6.81, p < .001 (Smith 2023, 45).
The main Chicago requirement is consistent citation of sources in the reference list, not the specific formatting of statistical values per se. However, always check the specific journal or instructor requirements, as some Chicago-based publications have their own statistical formatting rules.
Every paragraph in your results section should contain certain core elements, arranged in a logical sequence. This template works for virtually any statistical result.
Don’t assume readers remember what you were testing. Remind them:
To test our first hypothesis that social support would buffer stress, we compared cortisol levels…
Before inferential tests, readers need to know the baseline characteristics:
The high-stress group had a mean cortisol level of 18.4 µg/dL (SD = 4.2, n = 32) compared to 12.1 µg/dL (SD = 3.8, n = 30) in the low-stress group.
For group comparisons, report descriptive stats for each group. For correlations or regressions, report means and SDs of the variables.
For each hypothesis test, include:
Example:
The difference was statistically significant, t(60) = 3.84, p = .001, d = 0.66.
P-values tell you whether an effect exists; effect sizes tell you how big it is. A finding can be statistically significant but practically meaningless (e.g., p = .049 with d = 0.1). Always report effect sizes. As the NCBI guidelines emphasize, “statistical significance is not synonymous with practical significance” (Harhay et al., 2020).
State whether the effect was positive or negative, higher or lower, increase or decrease. Don’t make readers infer direction from the table:
- Group A scored higher (not just “Group A differed from Group B”)
- The correlation was positive
- Symptoms decreased over time
If you have a table with comprehensive statistics, your text can be a summary:
As shown in Table 1, the treatment group showed significantly greater improvement across all outcomes. For primary outcome scores, the treatment group mean was 15.2 (SD = 3.4) compared to 22.8 (SD = 4.1) in controls, a difference of 7.6 points (95% CI, 5.9-9.3; t = 7.45, p < .001).
Rule: Every table and figure must be mentioned in the text, in the order they appear.
Don’t just dump numbers. Use narrative to connect:
Weak: “t(58) = 2.45, p = .017.”
Better: “The treatment group scored significantly higher than controls, t(58) = 2.45, p = .017, indicating that the intervention had a measurable effect.”
But don’t interpret—don’t say “this suggests that…” or “likely due to…”
Even experienced researchers make these errors. Here’s what to watch for.
| Mistake | Why It’s Wrong | How to Fix |
|---|---|---|
| Interpreting findings | Results should report, not explain | Save interpretation for discussion; state findings objectively |
| Reporting p < .05 | Vagueness; modern standards require exact p | Report exact p = .042; if p < .001, write “p < .001” |
| Including raw data | Results section is for summarized findings | Put raw data in appendix/supplement; use tables for summaries |
| Repeating table values in text | Redundant; wastes space | Highlight key trends in text; let tables contain details |
| Using present tense for findings | Results are completed actions | Use past tense: “showed,” “increased,” “was significant” |
| Ignoring non-significant results | Biased reporting; transparency required | Report all relevant findings, including ns results |
| Mismatched numbers (text vs table) | Confuses readers; looks careless | Double-check all values match exactly between text and tables |
| Missing effect sizes | Statistical ≠ practical significance | Always include effect size (Cohen’s d, r, η², OR) with p-values |
| Wrong italics/formatting | Violates style guide; appears unprofessional | Review APA/AMA/Chicago rules; italicize p, t, F, r, M, SD but not ns |
| Incorrect decimal places | Inconsistent precision looks sloppy | Follow style guide: usually 2 decimals for means, exact p-values to 3 decimals if needed |
Tables and figures are not decorations—they’re integral to your results presentation. Used properly, they make dense information scannable. Used poorly, they confuse readers.
In most formats, tables and figures appear either:
Check your target format’s requirements. When in doubt, place them immediately after first reference in text.
The text should highlight patterns, comparisons, and notable values. The table contains the details.
Example table caption (APA):
Table 1
Means and Standard Deviations for Outcome Variables by Treatment Group
Example figure caption (AMA):
Figure 1. Survival curves for treatment vs. control groups. Tick marks indicate censored observations. HR = hazard ratio; CI = confidence interval.
Good captions are self-contained. A reader should understand the table/figure without reading the text. Include:
If readers have to flip back to the methods to understand your table, it’s not good. Include enough information in captions or table headings to make it standalone. Define all abbreviations the first time they appear.
Always reference tables and figures in the text:
- “The demographic characteristics are presented in Table 3.”
- “As illustrated in Figure 1, survival was significantly longer…”
Don’t just place a table without mentioning it.
The general principles above apply everywhere, but disciplines have their own conventions. Adapt accordingly.
Sciences often prefer concise presentation with heavy use of figures. Many scientific journals combine results and discussion, though this varies. Biology frequently uses figures for trends and reserves tables for numerical data with multiple variables. Chemistry may present spectral data or reaction yields. Physics emphasizes uncertainty reporting (± values) and significant figures.
Key science conventions:
Social sciences typically require strict separation of results and discussion, following APA 7th edition. Results are purely descriptive; interpretation begins in the discussion. Effect sizes are increasingly emphasized alongside p-values. Tables are common for group comparisons; figures for interaction effects or trends over time. Qualitative results are reported separately, often in thematic narratives rather than statistical tables.
Key social science conventions:
Medical writing follows AMA Manual of Style. Clinical significance (not just statistical) is paramount. P-values less emphasized than confidence intervals and effect sizes. Survival analysis (Kaplan-Meier curves) is common. Tables often show baseline characteristics, primary outcomes, adverse events. CONSORT guidelines govern randomized trial reporting. Odds ratios, relative risks, and number-needed-to-treat are standard effect measures.
Key medical conventions:
Humanities disciplines that incorporate quantitative methods (history, literary analysis with text mining, archaeology) often use Chicago Author-Date. The writing may be more narrative, with statistics integrated into prose rather than isolated in tables. Statistical reporting is generally less dense than in sciences—fewer tests, more emphasis on what the numbers mean for humanistic inquiry. Still, basic formatting rules (italics for symbols, proper p-value reporting) apply.
Engineering and CS have varied practices. Conference papers often combine results and discussion due to page limits. Journal articles tend to separate them. Performance metrics (accuracy, F1-score, execution time, memory usage) are reported in tables. Statistical tests are reported when comparing algorithms. Many engineering journals have their own style guides that modify APA or Chicago.
Key engineering conventions:
Standard rule: Past tense for your statistical results because they are completed actions:
“Participants who exercised showed greater improvement (M = 8.2, SD = 1.5) than sedentary participants (M = 5.1, SD = 1.3), t(45) = 4.67, p < .001.”
Present tense only for:
Traditional scientific writing mandated passive voice to maintain objectivity: “It was found that the treatment was effective.” Modern style guides (APA 7th, AMA 11th) accept—and sometimes prefer—active voice for clarity:
“We found that the treatment was effective.”
“The analysis showed…”
Active voice is more direct and uses fewer words. When in doubt, follow your discipline’s conventions. Psychology and medicine generally accept active voice. Some traditional fields (certain areas of physics, chemistry) may still prefer passive. Check recent articles in your target journal.
Even with active voice, maintain scientific objectivity. In some contexts, especially when the focus should be on the research rather than the researchers, use third person without pronouns:
“The treatment group showed improvement” (preferred over “We found that the treatment group showed improvement”)
But APA 7th explicitly states that using first person plural (“we”) is acceptable when referring to the research team. The key is consistency and appropriateness for your context.
The results section is not the place for hedging or qualifying language. State what the data show:
Avoid: “The results might suggest a trend toward improvement.”
Use: “The treatment group improved significantly more than controls.”
Hedging belongs in the discussion when you’re speculating beyond the data.
Precision matters. Report numbers with appropriate significant figures:
Be consistent. If you report one mean to one decimal (12.5), report all means to one decimal (18.3, not 18.27). Follow your style guide’s specific rules.
Your readers may not be statisticians. When using technical terms, briefly explain:
“Cohen’s d (a measure of effect size) of 0.78 indicates a large practical effect.”
But don’t over-explain basic terms like mean, standard deviation, or p-value. Assume college-level statistics knowledge.
Let’s walk through a realistic example from hypothesis to finished results paragraph, showing proper formatting for APA style.
A researcher tests whether a four-week mindfulness intervention reduces perceived stress compared to a waitlist control. Primary outcome: Perceived Stress Scale (PSS) score. Sample: 60 university students (30 per group). Hypothesized: Intervention > Control.
First, describe your sample and baseline characteristics.
Participants’ demographic characteristics are presented in Table 1. The sample (N = 60) had a mean age of 21.3 years (SD = 2.1) and was 68% female. Baseline perceived stress scores did not differ between groups: intervention group M = 24.7 (SD = 4.3), control group M = 25.1 (SD = 4.1), t(58) = 0.31, p = .76.
Why this works: Reports sample size (N), means with SDs, compares baseline (shows randomization worked), includes statistical test with proper formatting.
Now the main hypothesis test.
The primary analysis tested whether the mindfulness intervention reduced perceived stress compared to control. As shown in Table 2, post-intervention stress scores were significantly lower in the intervention group (M = 17.2, SD = 3.8) than in the waitlist control group (M = 23.9, SD = 4.5). The independent-samples t-test confirmed this difference was statistically significant, t(58) = 5.21, p < .001, d = 0.86 (95% CI for d = 0.50-1.22). This represents a large effect size according to Cohen’s conventions.
Why this works:
Secondary outcomes included anxiety (GAD-7) and depression (PHQ-9). The intervention group showed significantly lower anxiety (M = 8.4, SD = 2.6) than controls (M = 12.1, SD = 3.0), t(58) = 4.37, p < .001, d = 0.72. Depression scores were also reduced, though the effect was smaller, t(58) = 2.89, p = .006, d = 0.45.
The text above would be paired with a table like this (APA format):
Table 2
Mean Perceived Stress Scores by Treatment Group
| Group | n | M | SD | t | p | d | 95% CI for d |
|---|---|---|---|---|---|---|---|
| Intervention | 30 | 17.2 | 3.8 | 5.21 | < .001 | 0.86 | [0.50, 1.22] |
| Control | 30 | 23.9 | 4.5 |
Note: PSS = Perceived Stress Scale. CI = confidence interval.
Key points:
The mindfulness program really helped people feel less stressed (p < .001), which shows that mindfulness works because it changes how people think about their problems. The participants in the treatment group had lower scores on the stress scale, which means they were less stressed. This is important because…
Problems:
Before finalizing your results section, run through this checklist:
For more on academic writing and research presentation, see these guides:
Effective data analysis writing for statistical results sections is not about clever prose or persuasive argument. It’s about clear, objective, precise reporting of what your data show. The results section is your evidence—treat it with the rigor it deserves. Follow your style guide’s formatting rules, report all relevant findings including non-significant ones, include effect sizes, and keep interpretation strictly out of results. When you separate what you found from what it means, you create research that is credible, replicable, and ready for publication.
Remember: Results = what happened. Discussion = why it matters. Master this distinction, and you’ll produce results sections that withstand peer review and contribute meaningfully to your field.
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