The statistics section is an important part of any research paper that involves quantitative data analysis. This section allows you to report the results from the statistical tests and analyses conducted on your data. When written effectively, the statistics section interprets these results for the reader and relates them back to your original research questions or hypotheses.
The statistics section typically follows the methods section, where you described how you collected and analyzed your data. It is important that this section provides a clear and concise summary of the results without overly complex statistical language or terminology. Remember that the target audience for a research paper is other researchers both within and outside your field, so aim for clarity over jargon.
Your statistics section should have a standard structure including descriptive statistics, inferential statistics tests, and tables/figures as needed. Begin by reporting any descriptive statistics that summarize the overall sample and key variables. This could include measures of central tendency (e.g., mean, median), variability (e.g., standard deviation, range), and frequency distributions. These provide an overview of your data before more complex analyses.
Next, report the results of any inferential statistical tests conducted to address your research questions or hypotheses, such as correlation analyses, t-tests, ANOVAs, regression models, etc. Introduce each analysis with a brief reminder of the research question or hypothesis it aimed to address. Then state the test used along with any required assumptions (e.g., normality, independence, etc.). Give the exact test statistic value and your chosen significance level (e.g., “t(df)=2.34, p < .05"). Interpret what each statistically significant finding means in plain language. For example, "There was a significant positive correlation between extraversion and prosocial behavior, r(40) = .56, p = .001, indicating that more extraverted individuals tended to engage in more prosocial acts." Use subheadings to group related results as needed to enhance readability. Any tables and figures used to display key results should also be embedded directly within the statistics section for easy reference. Provide a caption for each that briefly describes the content and references it in your reporting. For example, you could state "As shown in Table 1, participants scored higher on..." or "A graphical depiction of these means is presented in Figure 1."
Pay attention to precision when reporting statistics to the appropriate number of decimal places. Consider formatting them consistently across the paper for coherence (e.g., all p-values to three decimal places). Avoid verbose descriptions that simply restate the data; focus on interpreting what it means. The reader should understand how your analyses addressed each research question by the conclusion of this section. It is generally not acceptable to only report statistically significant results. You must include all analyses conducted, even if findings were non-significant. Omitting these could introduce bias. Acknowledge non-significant findings objectively without overanalyzing them (e.g., "The correlation between X and Y was not significant."). This section should rely primarily on prose with statistics and visuals used judiciously for emphasis rather than as a series of isolated numbers. Proofread your statistics section carefully before finalizing. Check that all reported statistics precisely match your database and statistical output to avoid errors. Ensure consistent formatting of elements like superscripts, abbreviations, parentheses, etc. Get feedback from others to identify any portions that require clarification or expansion. Often students struggle with writing the statistics section due to perceptions that it requires advanced technical skills or that readers won't find dry numbers engaging. With a clear conceptual structure, judicious use of examples for context, and careful interpretation, you can communicate your quantitative findings accessibly to any audience. Mastering the statistics section is an essential research writing skill. An effective statistics section for any research paper should include descriptions of sample characteristics through appropriate descriptive statistics, results of inferential analyses organized by research question or hypotheses, and embedded tables or figures as needed to display key outcomes. Interpret these findings objectively without bias by relating statistical values back to your research aims in clear prose for any reader. Above all, focus on communicating the meaning and implications of your quantitative analyses rather than rote reporting of numbers.