Two Independent Sample t-Tests Flashcards
Two Sample T-test
A method to test hypotheses comparing TWO population means, with at least one unknown population variances
Degrees of freedom for two tests
DF=DF1+DF2
or
(N1-1) + (N2-1)
Pooled Sample Variance Equation
S^2p=S^21 (df1) +S^22 (df2)/df1+df2
Standard Error of the Mean Differences Formula
Sm1-m2=s^2p/n1+s^2p/n2
Between-subjects design
Research design where one observation is given to two groups. Two “levels” of a factor are given, one to each group.
Estimated Standard Error for the difference
The combined standard error for both samples in a two sample test
Estimated Standard Error Formula
sM1-sM2=√s2p/n1 + s2p/n2
Independent sample
When a sample is selected from one or two populations, and divided randomly into two subgroups, who are then compared. Can be quasi-experimental or comparison/control (true experiment)
Pooled Sample Variance
The mean sample variance for two samples
Pooled Sample variance for unequal sample sizes
s^2p=s^2 1(df1) + s^2 2(df2)/df1 + df2
Two-independent-sample t test
Assumptions: normal distribution, random sampling, independence, equal variance.
A statistical test to compare the mean difference between two “independent” groups. One or both variances are unknown.
Two sample independent T-test formula
Tobt= (M1-M2) - (μ1-μ2)/sM1-M2
SM1-M2