Question

How do I know whether the variable of interest exhibit a statistical significant difference between the groups?

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	22	1420318	64559.90909	83671674.28
Column 2	15	1295223	86348.2	72184280.89
Column 3	13	2145812	165062.4615	10933748061
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	85073726515	2	42536863258	14.92269054	9.60024E-06	3.19505628
Within Groups	1.33973E+11	47	2850482167
Total	2.19046E+11	49

Answer 1

we will check p value

here, p value = 9.60024*10^-06 = 0.00000960024

now let α=0.05 in general

So, if p value < α , then test is significant, otherwise not

here, p value=0.00000960024 <α = 0.05, So, There is a a statistical significant difference between the groups

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