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keisanHigh-precision calculations for everyday life and work

t-test for the difference in means between two unpaired groups: Using standard deviation

Author: soulstationExecutions: 13589

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This calculator is designed for the general “t-test for the difference in means between two independent groups (two-sample t-test).”
It simultaneously displays results for both the case assuming equal variances and the case assuming unequal variances (Welch’s t-test).
It also uses standard deviation as an input variable.
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The formula was based on “Statistics WEB” (see Related Links).
A similar formula created by another user (see Related Links) required the input of an unbiased variance, but
since (sample) standard deviations are often cited in research papers,
I created this calculator so that users can immediately verify the results of an independent t-test they encounter in such publications.
(Created July 27, 2022; Updated July 29, 2022)
Number of data points in Sample 1
Number of data points in Sample 2
Sample Mean 1
Sample Mean 2
Sample standard deviation 1
Sample standard deviation 2
Significance Level
%
Degrees of freedom 
Standard error 
t-value 
p-value 
Confidence Interval to 
Degrees of freedom (Welch) 
Standard Error (Welch) 
t-value (Welch) 
p-value (Welch) 
Confidence Interval (Welch) to 
If you have any doubts about the results, please let me know, including the variables you entered.
(I don’t check them regularly, so I can’t guarantee an immediate response.)
Also, if “E-4” or something similar appears at the end of the result,
please mentally adjust the decimal point to the left by the corresponding negative value.

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