Paired t-test calculator

Calculate paired t statistic and degrees of freedom with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use paired t statistic and degrees of freedom to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Paired sample A
10,12,14,11,15
Paired sample B
8,11,10,9,12
Paired t statistic
4.706787
Degrees of freedom
4
Two-sided p value
0.009262
Mean paired difference
2.4
95% mean-difference interval lower
0.984285
95% mean-difference interval upper
3.815715

Try another scenario

Paired sample A
11.0,12.0,14.0,11.0,15.0
Paired sample B
8,11,10,9,12
Paired t statistic
5.09902
Degrees of freedom
4
Two-sided p value
0.006987
Mean paired difference
2.6
95% mean-difference interval lower
1.184285
95% mean-difference interval upper
4.015715
Calculation method

Calculation method

Paired t statistic

Student t on A-B; sample variance uses n-1. Report two-sided95% Student interval; no one-sided mode.

Degrees of freedom

Student t on A-B; sample variance uses n-1. Report two-sided95% Student interval; no one-sided mode.

Two-sided p value

Student t on A-B; sample variance uses n-1. Report two-sided95% Student interval; no one-sided mode.

Mean paired difference

Student t on A-B; sample variance uses n-1. Report two-sided95% Student interval; no one-sided mode.

95% mean-difference interval lower

Student t on A-B; sample variance uses n-1. Report two-sided95% Student interval; no one-sided mode.

95% mean-difference interval upper

Student t on A-B; sample variance uses n-1. Report two-sided95% Student interval; no one-sided mode.

Symbols and units
a
Paired sample A
b
Paired sample B

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Calculation uses the entered values and stated mathematical model; quantities must use the labelled units. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Student t on A-B; sample variance uses n-1. Report two-sided95% Student interval; no one-sided mode.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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