student's t-test: meaning, definition, pronunciation and examples
LowTechnical / Academic
Quick answer
What does “student's t-test” mean?
A statistical hypothesis test used to determine if there is a significant difference between the means of two groups, especially when sample sizes are small and population variance is unknown.
Audio
Pronunciation
Definition
Meaning and Definition
A statistical hypothesis test used to determine if there is a significant difference between the means of two groups, especially when sample sizes are small and population variance is unknown.
A foundational inferential statistical procedure developed by William Sealy Gossett (under the pseudonym 'Student') for comparing means, widely used in research across sciences, social sciences, and business to assess whether observed differences in data are likely genuine or due to random chance.
Dialectal Variation
British vs American Usage
Differences
No significant differences in usage or terminology. Spelling follows standard national conventions in surrounding text (e.g., analyse/analyze).
Connotations
Identical technical connotations.
Frequency
Equally common in academic and research contexts in both varieties.
Grammar
How to Use “student's t-test” in a Sentence
VERB + Student's t-test (perform/run/conduct)Student's t-test + VERB (showed/revealed/indicated)Student's t-test + PREP + NOUN (on the data, for difference, between groups)Vocabulary
Collocations
Examples
Examples of “student's t-test” in a Sentence
verb
British English
- We need to Student's t-test these two cohorts.
- The data were Student's t-tested for significance.
American English
- We need to run a Student's t-test on these two cohorts.
- The data were analyzed using a Student's t-test.
adjective
British English
- The Student's t-test analysis revealed a difference.
- We used a Student's t-test approach.
American English
- The Student's t-test results were significant.
- We used a Student's t-test procedure.
Usage
Meaning in Context
Business
Used in market research to compare customer satisfaction scores between two product versions or in A/B testing.
Academic
Ubiquitous in scientific papers, theses, and lab reports across psychology, biology, medicine, and social sciences to test research hypotheses.
Everyday
Virtually never used in everyday conversation.
Technical
Core term in statistics, data science, and any field involving quantitative data analysis. Discussed in terms of assumptions (normality, homogeneity of variance), p-values, and t-statistics.
Vocabulary
Synonyms of “student's t-test”
Neutral
Weak
Vocabulary
Antonyms of “student's t-test”
Watch out
Common Mistakes When Using “student's t-test”
- Writing 'students t-test' (without apostrophe or capital S).
- Using it for comparing more than two groups (requires ANOVA instead).
- Applying it without checking the assumption of approximately normal data distribution.
- Confusing it with the similar-sounding 'z-test'.
FAQ
Frequently Asked Questions
'Student' was the pseudonym of William Sealy Gossett, a chemist working for the Guinness brewery, who published the test in 1908.
Use a paired t-test when measuring the same subjects twice (e.g., before and after a treatment). Use an independent t-test when comparing two separate, unrelated groups.
The 't' stands for the t-statistic, which is the test statistic calculated as the difference between sample means divided by the standard error of the difference.
It was originally derived for small samples, but it is also valid and commonly used for larger samples. For very large samples, the t-distribution approximates the normal (z) distribution.
A statistical hypothesis test used to determine if there is a significant difference between the means of two groups, especially when sample sizes are small and population variance is unknown.
Student's t-test is usually technical / academic in register.
Student's t-test: in British English it is pronounced /ˈstjuːd(ə)nts ˈtiː ˌtest/, and in American English it is pronounced /ˈstuːdənts ˈtiː ˌtest/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of a 'student' in a lab who needs a simple test for small samples – 'Student's t-test' is their go-to tool.
Conceptual Metaphor
STATISTICAL SIGNIFICANCE IS A MEASURABLE DISTANCE (the t-statistic measures the distance between group means in units of standard error).
Practice
Quiz
What is the primary purpose of Student's t-test?