T test formula summary sheet - Peggy's website
嚜篙-Test Formula Summary Sheet
One Sample t test
t test formula (1 sample)
t=M每?
Sx
Sample mean (M) minus population mean you are comparing your sample to (?),
divided by the standard error (Sx).
standard error for 1
sample t test
Sx = ?
﹟N
Sample standard deviation (?, calculated with N-1 in the denominator) divided by
the square root of the number of people (N).
degrees of freedom
df = N 每 1
Number of subjects (N) minus 1
Two Sample t test
t test formula (two
samples)
pooled standard error for
2 sample t test
degrees of freedom
t = M1 每 M2
Spooled
Spooled =
?1
﹟N1
2
?2
+ ﹟N
2
df = N 每 2
Mean of group 1 (M1) minus mean of group 2 (M2), divided by the pooled
standard error (Spooled).
2
Standard deviation of group 1 (?1) divided by the square root of the number of
people in group 1 (﹟N1), squared (2); plus standard deviation of group 2 (?2)
divided by the square root of the number of people in group 2 (﹟N2), squared (2);
then square root of everything (﹟).
number of subjects (N) minus 2
t test of r vs. 0
t test formula for r
standard error of r
degrees of freedom
t=r每
Sr
Sr =
correlation of interest (r) minus population correlation you are comparing to (
usually this is 0), divided by the standard error of r (Sr)
1 每 r2
N每2
df = N 每 2
每
1 minus the squared r value, divided by N 每 2. Then take the square root of this.
Number of subjects (N) minus 2
Effect size r (from t test)
effect size (r)
r =
t2
t2 + df
Using the t obtained from your t test, square the t value (t2) and divide by this
squared t value plus the degrees of freedom from your t test (df). Then take the
square root of this (﹟).
? Margaret L. Kern, 2011
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