t-Test for Correlated Samples

t-Test for Correlated Samples (n per sample up to .)

This page will calculate the value of t for the difference between the means of two correlated samples, for sample sizes up to n=. It will also calculate various summary statistics for the two samples.

The logic and computational details of this test are described
in Chapters 9 and 12 of Concepts and Applications.

Enter the values of X_a and X_b into the cells of the designated columns, beginning in the top-most cell of each column. After each entry, depressing the 'tab' key will take you down to the next cell in the column. After all values of X_a and X_b have been entered in this fashion, click the button labeled «Calculate».

If you wish to perform another analysis with a different set of data: click the «Reset» button if the value of n for the new set of data is or smaller; click the «Reload» button if the value of n is larger than._Q If you wish to perform another analysis with a different set of data: click the "Reset" button if the value of n for the new set of data is or smaller; click the "Reload" button if the value of n is larger than._Q

Data Entry
Pairs	X_a	X_b	d=X_a—X_b

Data Summary_Q
Summary	X_a	X_b	d
n
sum
mean
sumsq
SS
variance
st. dev.

Variances and standard deviations are calculated
with denominator = n-1.

Mean_a—Mean_b	t	df

P	one-tailed
P	two-tailed

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