Paired T-Test Calculator

Dependent T test

tails: the default is two tailed test
video tutorial

Hypotheses

H0: μd ≥ μ0 H0: μd = μ0 H0: μd ≤ μ0
H1: μd < μ0 H1: μd ≠ μ0 H1: μd > μ0

Test statistic

t statistic

T-student distribution

t distribution left tailed t distribution two tailed t distribution right tailed

Test calculation

If you enter raw data, the tool will run the Shapiro-Wilk normality test and calculate outliers, as part of the test calculation.

Statistic Data

α: Significant level (0-1), maximum chance allowed rejecting H0 while H0 is correct (Type1 Error)
Outliers: It is not recommended to exclude outliers unless you know the reasons
Enter raw data directly
Enter raw data from excel

Enter sample data

Header: You may change groups' name to the real names.
Data: When entering data, press Enter after each value.
The number of observations must be identical in both groups. (difference = right - left)

Empty cells or non numeric cells won't be counted

Enter sample data

You may copy data from Excel, Google sheets or any tool that separate data with Tab and Line Feed.
Copy the data, one block of 3 consecutive columns includes the header, and paste below.


It is okay to leave empty cells, empty cells or non numeric cells won't be counted

Results

Group:

xd: Average of differences
μ0: Expected difference, usually zero
n: Sample size, number of pairs
Sd: The standard deviation of the differences
skewness:
Normality pval: Shapiro Wilk test
Outliersd count: ,based on the Tukey's fences method, k=1.5


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