If the two measures you gather in your study are related the formula for t is ca
ID: 3363506 • Letter: I
Question
If the two measures you gather in your study are related
the formula for t is calculated in the same way as for the independent samples t
the formula for t is calculated in a different way than for the independent samples t
you use a different table of Critical Values of t as for the independent samples t
both b and c are correct
a.the formula for t is calculated in the same way as for the independent samples t
b.the formula for t is calculated in a different way than for the independent samples t
c.you use a different table of Critical Values of t as for the independent samples t
d.both b and c are correct
Explanation / Answer
Answer
As we know for two set of samples obtained from two different population they either may be related or be independent. ( Here we primarily assume that the data follows normal distribution and we are assuming the sample variances are unknown).
So if m and n samples are obtained from two different population then for independent case we test the independent sample t-test with degrees of freedom m+n-2 while for the related samples case here usually we take equal sized samples and obtain the test with df n-1.
So clearly if the twomeasures are related
the formula for t is calculated in a different way than for the independent samples t and as the degrees of freedom are different for two cases we have to use a different table of Critical Values of t as for the independent samples t.
Hence both option b and c are correct.
Hence option d is the correct one.
Hence the answer..................
Thank you....................