Question

What are limitations and strengths of a one way ANOVA

Answer 1

Strength:-

i) one way anova (analysis of variance) is a statistical technique by which we can test three or more mean equal or not of the sample (using F distribution).

ii) And then if we get the result is significant i.e all means are not equal then we performed a paired t-test to identify which treatment is different for which mean is not equal.

Limitations:-

i) This technique only can be used for only for numerical response data.

ii) For anova test sample must be independent each other otherwise anova test failed.

iii) For anova test we assume that the data in the groups are normally distributed, if the data are not from normal distribution anova test will not provide accurate answer.

iv) Another limitation of anova test is that it assumes that groups have same or very similar standard deviation.