Probability and Statistics > Reporting Statistics APA Style

APA style can be finicky. Trying to remember the very particular rules for spacing, italics and other formatting rules can be overwhelming if you’re also writing a fairly technical paper. My best advice is to write your paper and then edit it for grammar. Don’t worry about reporting statistics APA style until your paper is almost ready to submit for publication. Then go through your paper and make a second edit for statistical notation based on this list.

## 1. General tips for Reporting Statistics APA Style

- Use readable
**spacing**, placing a space after commas, variables and mathematical symbols. For example:**Correct**: r(55) = .49, p < .001**Incorrect**: r(55)=.49,p<.001.

APA

*suggests*using two spaces after periods to aid readability, but this is not required. - Don’t state
**formulas**for common statistics (e.g. variance, z-score). Similarly, don’t use references for statistics unless they are uncommon or the focus of your study. - In general, round
**decimals**to two places, with the exception of p-values (see p-values in the next section). Values in the same paragraph or table should have the same number of decimal places.

**If the decimal is less than one:**- Place a zero before the decimal point if the statistic can be greater than one (e.g. 0.26 lb).
- If number cannot be greater than one, leave out the decimal point (e.g. p = .015).

- Most symbols and abbreviations that are not Greek letters are italicized:
*df p N n t z F SD SE M OR*. All**symbols**should be italicized:*t, F, z.*Exceptions: - Use an uppercase N for number in the total
**sample**(*N*= 45) and a lowercase*n*for a fraction of the sample (n = 20). - Place
**percentages**in parentheses. For example: “Almost a quarter of the sample (25.5%) was already infected with the virus.” - If you use a
**table**to report results, don’t duplicate the information in the text.

## 2. Reporting Specific Statistics in APA Style

**Confidence intervals**: For CIs, use brackets: 95% CI [2.47, 2.99], [-5.1, 1.56], and [-3.43, 2.89]. If you are reporting a list of statistics within parentheses, you do not need to use brackets within the parentheses. For example (SD = 1.5, CI = -5, 5)

Use parentheses to enclose **degrees of freedom**. For example, t(10) = 2.16.

**Probability values:** report the p-value exactly, unless it is less than .001. If less than that amount, the convention is to report it as: p < .001.

Note: I wrote “Probability Values” here for a reason: A lowercase symbol cannot be capitalized at the beginning of a sentence or as a table header as uppercase and lowercase are significant.

**Mean, Standard Deviation** (and similar single statistics): use parentheses: (*M *= 22, *SD* = 3.4).

## 3. Hypothesis Tests in APA Style

Nouns (p value, z test, t test) are not hyphenated, but as an adjective they are: t-test results, z-test score.

At the beginning of the results section, restated your hypothesis and then state if your results supported it. This should be followed by the data and statistics to support or reject the null hypothesis.

One-Way/Two-Way **ANOVA**: State the between-groups degrees of freedom, then state the within-groups degrees of freedom, followed by the F statistic and significance level. For example: “The main effect was significant, *F*(1, 149) = 2.12, *p* = .02.”

**Chi-Square test of Independence:** Report degrees of freedom and sample size in parentheses, then the chi-square value, followed by the significance level. For example:

“Animal response to the stimuli did not differ by species, *Χ*^{2}(1, N = 75) = 0.89, *p* = .25.”

**t tests**: Report the t value and significance level as follows: *t*(54) = 5.43,

*p* < .001. What you put in the wording will differ slightly depending on if you have a one sample t-test, or a t-test for groups. Examples:

- One sample: “Younger teens woke up earlier (
*M*= 7:30,*SD*= .45) than teens in general,*t*(33) = 2.10,*p*= 0.31″ - Dependent/Independent samples: “Younger teens indicated a significant preference for video games (
*M*= 7.45,*SD*= 2.51) than books (*M*= 4.22,*SD*= 2.23),*t*(15) = 4.00,*p*< .001.”

Report **correlations **with degrees of freedom (N-2), followed by the significance level. For example: “The two sets of exam results are strongly correlated, r(55) = .49, p < .001.”

Thank you to Mark Suggs for corrections to this article.

**References:**

American Psychological Association. (2019). Publication Manual of the American Psychological Association, (7th ed).

Milan, JE, White, AA. Impact of a stage-tailored, web-based intervention on folic acid-containing multivitamin use by college women. Am J Health Promot. 2010 Jul-Aug;24(6):388-95. doi: 10.4278/ajhp.071231143.

Sheldon. (2013). APA Dictionary of Statistics and Research Methods (APA Reference Books) 1st Edition. American Psychological Association (APA).

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