Generally, we compare two independent sample means via independent two-sample t test. Is it possible to...

Generally, we compare two independent sample means via independent two-sample t test. Is it possible to compare two independent sample means using ANOVA? please give me a different answer/ explanation. I know someone already asked about this question here, please don't copy it and give me the same answer. THANKS.

Expert Solution

Yes, it is possible to compare two independent sample means using ANOVA

In fact

t^2 = F

t is Test statistic for t-test Two-Sample Assuming Equal Variances

F is test statistic for Anova: Single Factor

p-value remains same for both test

random data

24	26
62	61
37	38
91	88

Anova: Single Factor

SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	4	214	53.5	873.6667
Column 2	4	213	53.25	747.5833


ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	0.125	1	0.125	0.000154	0.990495	5.987378
Within Groups	4863.75	6	810.625

Total	4863.875	7

t-Test: Two-Sample Assuming Equal Variances

	Variable 1	Variable 2
Mean	53.5	53.25
Variance	873.6666667	747.5833333
Observations	4	4
Pooled Variance	810.625
Hypothesized Mean Difference	0
df	6
t Stat	0.01241781	0.000154202
P(T<=t) one-tail	0.49524744
t Critical one-tail	1.943180281
P(T<=t) two-tail	0.990494879
t Critical two-tail	2.446911851

orchestra answered 2 years ago

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