Question

When statisticians say that the t Test produces the same thing as the F test, what they really mean is that:

__this occurs when the t Test is used to measure more than 2 groups

__t = F

__t2 = F

__none of the above

Answer 1

Sol:

t test used for 2 groups

F test used for more than 2 groups

For the sample

A	B
64	82
47	71
54	89
43	62

T TEST

t-Test: Two-Sample Assuming Unequal Variances
	A	B
Mean	52	76
Variance	84.66666667	142
Observations	4	4
Hypothesized Mean Difference	0
df	6
t Stat	-3.188213588
P(T<=t) one-tail	0.009439439
t Critical one-tail	1.943180281
P(T<=t) two-tail	0.018878878
t Critical two-tail	2.446911851

ANOVA conducted for the 2 groups is

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
A	4	208	52	84.66667
B	4	304	76	142
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	1152	1	1152	10.16471	0.018879	5.987378
Within Groups	680	6	113.3333
Total	1832	7

t=-3.1882

F=10.16471

t^2=-3.1882*-3.1882

=10.16462

t^2=F

ANSWER:

t^2 = F