ANOVA stands for ANalysis Of VAriance techniques used in testing the effect of a treatment . Usually we take the measurements before and after the treatment to study whether a treatment has made any effect.
You 60 students may be tested before training and your individual marks obtained are recorded. After a period of training you may be given the test again and your individual marks obtained are recorded.
Now it is a statistical test where we calculate a static called t as below based on mean marks m1 obtained before the training and the mean marks m2 obtained after the training, and the mean sum of the squared deviations from the respective means:
The value of t = |(m1-m2)|/S[1/[n1 +1/n2], where m1 and m2 are sample means and n1 and n2 are sample size ( in our case n1=n2=60). And S = (sum of the squared deviation from the mean m1 of 1st sample + similar sum from the second sample) /(n1+2 - 2).
If the observed value ot the calculated t from the experiment is very high compared to the theoretical value of t , which is available in tables , we reject that there is any effect of treatment.
Hope this helps.
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