Dissertation Statistics Help

APA results formatter

Enter the numbers your software gave you and get a sentence that follows the APA reporting rules exactly.

An APA results formatter takes a raw test result, a t, F, chi-square, or correlation value with its degrees of freedom and p-value, and writes it in the format the APA (7th edition) Publication Manual requires: statistics italicised, the exact p-value reported, no leading zero on values that cannot exceed one, and p shown as “< .001” below that threshold. It removes the small formatting errors that reviewers flag without changing any of your numbers.

APA 7th edition

t(48) = 2.34, p = .023

t(48) = 2.34, p = .023

The APA rules applied here

  • Test statistics (t, F, χ²) and the symbols p, r, N, d are italicised.
  • Statistics bounded by ±1, the p-value and r, take no leading zero: p = .03, not 0.03.
  • The p-value is reported exactly to two or three decimals, unless it falls below .001, when it is given as p < .001.
  • Degrees of freedom sit in parentheses for t and chi-square.

A formatted t-test result therefore reads:

t(48) = 2.34, p = .02, d = 0.68

The tool reproduces these conventions exactly. It does not test your data or recompute the statistic; it formats the values you enter, so the numbers remain yours and only the presentation is corrected.

What goes in an APA results section

An APA results section reports what you found, in numbers and plain sentences, without interpreting why it happened, which is the job of the discussion. It opens with descriptive statistics, the means, standard deviations, and sample sizes that describe your variables, often gathered into a table. It then reports the inferential test for each research question or hypothesis: the test statistic, its degrees of freedom, the exact p-value, and an effect size. Any assumption checks, such as tests of normality, and the handling of missing data belong here too.

What does not belong is just as important. Keep out raw data, opinions about what the findings mean, and references to other studies; those move to the discussion. Report every pre-registered hypothesis, whether it was supported or not, rather than only the significant results, and present each statistic once in the cleanest place, prose or a table, not both. The structure follows the logic of your dissertation results chapter, and the foundational split between summary statistics and inferential tests sets the order in which you present them.

An APA results section example, line by line

A short worked passage shows how the pieces fit. You might begin with the descriptives: “Participants in the treatment group scored higher (M = 24.6, SD = 4.1) than those in the control group (M = 21.2, SD = 3.8).” Here the mean and standard deviation are italicised and abbreviated, and the groups are described before any test is mentioned, so the reader meets the data before the inference.

The inferential sentence follows and carries the full statistical line: “The difference was statistically significant, t(98) = 3.42, p = .001, d = 0.69.” Notice the pattern, a one-clause statement of the finding, then the test statistic with its degrees of freedom, the exact p-value, and the effect size, all in a single sentence. The numbers never stand alone; they are always embedded in a sentence that says what they show. Understanding what the p-value reports keeps that sentence accurate rather than overstated.

Reporting t-tests, ANOVA, and correlation in APA

Each test has a fixed reporting template. A t-test is written with its degrees of freedom in parentheses, the t value, the exact p-value, and Cohen's d, as in

t(48) = 2.34, p = .02, d = 0.68

An ANOVA carries two degrees of freedom, between-groups then within-groups, the F value, the p-value, and usually eta-squared:

F(2, 87) = 6.51, p = .002, η² = .13

A Pearson correlation reports r with its degrees of freedom, which is the sample size minus two, and the p-value, dropping the leading zero because r cannot exceed one:

r(58) = .42, p < .001

In every case the statistic symbol is italicised while the numbers are not, and the effect size sits in the same sentence rather than a footnote. Use the t-test tool or the ANOVA calculator to produce the figures, then format them with the tool above. The complete rule set lives in our guide to reporting statistics in APA style.

Reporting chi-square and Cohen's d in APA

A chi-square test has its own bracket convention: both the degrees of freedom and the total sample size go inside the parentheses, separated by a comma, before the statistic and p-value:

χ²(1, N = 90) = 4.52, p = .033

Forgetting the N inside the brackets is one of the most common reasons a chi-square line gets flagged in review. Run the figures through the chi-square calculator first, then format the line so the sample size is not lost.

Cohen's d and other effect sizes are reported to two decimals immediately after the test that produced them, never on their own. A t-test reads “… p = .02, d = 0.68,” and an effect size from analysis of variance is typically eta-squared rather than d. Pair the number with a word so the reader knows whether it counts as small, medium, or large, a judgement our guide to effect sizes frames, with the values themselves available from the Cohen's d and eta-squared calculator.

Tables and figures in an APA results section

Tables and figures earn their place when they show more than a sentence could. A table suits a correlation matrix, a set of group descriptives, or a regression model with several predictors, where a column layout is far clearer than prose. In APA style each table is numbered in the order it is mentioned, given a brief italicised title above it, and cited by number in the text (“as shown in Table 1”) rather than by position on the page. The golden rule is no duplication: a value reported in a table is not repeated in the running text.

Figures, such as bar charts of group means or scatterplots of a relationship, follow the same numbering logic, with the label and caption placed below the image, and axes labelled in full. Keep every table and figure able to stand alone: a reader should grasp it without hunting through the prose, which means defining abbreviations in a note and stating the sample size. When the results chapter contains several analyses, consistent table formatting is what makes it read as finished, and our help with your thesis statistics can build those tables to match the manual exactly.

Frequently asked questions

How do you report the results of a chi-square test?

Report the chi-square statistic with its degrees of freedom and the sample size in parentheses, followed by the value and the p-value, for example χ²(1, N = 90) = 4.52, p = .033. Both the degrees of freedom and the total sample size belong inside the brackets. Paste your figures above and the formatter assembles this line with the correct italics.

How do you report the results of an ANOVA?

An ANOVA result is written as F followed by the between-groups and within-groups degrees of freedom, the F value, and the p-value, such as F(2, 87) = 6.51, p = .002. Adding an effect size, usually eta-squared, shows how much variance the factor explains. The formatter builds the statistic and can append the effect size for you.

Is the t in a t-test italicised in APA style?

Yes. In APA style every test statistic symbol is italicised, so the t in a t-test, the F in an ANOVA, the r in a correlation, and the p of a p-value all appear in italics, while the numbers and the degrees of freedom do not. The formatter applies this italic styling automatically in its output.

How do you report a Pearson correlation in APA style?

Report the r statistic with its degrees of freedom (the sample size minus two) and the p-value, for example r(58) = .42, p < .001, and omit the leading zero before the decimal point. Reporting a confidence interval for the correlation alongside it is encouraged. Enter your r, degrees of freedom, and p-value above to format the line.