Generally, we compare two inde

Generally, we compare two independent sample means viaindependent two-sample t test. Is it possible to compare twoindependent sample means using ANOVA? please give me adifferent answer/ explanation. I know someone already asked aboutthis question here, please don’t copy it and give me the sameanswer. THANKS.


Yes, it is possible to compare two independent sample meansusing ANOVA

In fact

t^2 = F

t is Test statistic for t-test Two-Sample Assuming EqualVariances

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
Groups Count Sum Average Variance
Column 1 4 214 53.5 873.6667
Column2 4 213 53.25 747.5833
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
tStat 0.01241781 0.000154202
P(T<=t) one-tail 0.49524744
tCritical one-tail 1.943180281
P(T<=t) two-tail 0.990494879
tCritical two-tail 2.446911851

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