3 conditions necessary to use a t-test for independent. samples:
1) The samples must be independent
2) Each population should have a normal distribution (ignore this assumption when n ≥ 30)
3) Homogeneity of variance
• Both groups must be sampled from populations with similar variance
• If not, can’t pool variances, so df is smaller (which results in larger critical t)
Steps for Two-Sample t-Test for the Difference Between Means:
1) State H0 and Ha.
2) Identify a.
3) Is larger variance > 3x the smaller one?
4) df = n1+ n2 – 2 or df = smaller of n1 – 1 or n2 – 1
5) Use t-table
6) determine rejection regions
7) t = (x1 - x2) - (y1-y2)/ SDx1-x2
8) if T is in rejection area, reject H0, otherwise fail 2 reject H0
___ measures are considered the “ultimate” in matching bc the same person takes the experiment twice
Repeated
Repeated measures can be prone to
Carryover/testing effects
Matched pairs but based on biological or social measures
Natural pairs
When we compare either the same participants or participants who have some predetermined relationship
Dependent (paired) samples designs
To calculate the average difference (numerator d)
d=x1-x2
Ie. measurement 1 - 2
THEN take the average mean of the differences (Sum of d/n=d bar)
Using a paired t-test the right value (- miu) is always
0
What does n stand for in paired t-tests?
of PAIRS
For___ samples t-tests, think of groups of scores rather than than people
dependent
2 assumptions of paired t-test
1) samples must be dependent (paired)
2) both populations (of scores being compared) are normally distributed
Advantage of a paired sample (dependent)
-
Disadvantage of paired t-test
___ sample t-tests are easier to conduct
Independent
Independent samples are AKA
Independent groups, between-subjects
Dependent samples are AKA
Paired samples, correlated-groups