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.
Answer:
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 | ||||||
| SUMMARY | ||||||
| Groups | Count | Sum | Average | Variance | ||
| Column 1 | 4 | 214 | 53.5 | 873.6667 | ||
| Column2 | 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 | |
| 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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