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Analysis of Variance Introduction

Analysis of variance (ANOVA) implies a statistical technique on the variations to a group of causes. This .technique is closely related to design of experiment which may be defined as "the logical construction of the experiment in which the degree of uncertainty with which the inference is drawn may be well defined."

 

In a comparative experiment various objects of comparisons are termed as treatments. Also the whole experimental unit is divided into subgroups, preferably homogeneous are called blocks.

 

Prof. R. A. Fisher has outlined the basic principles of the design of experiments which are

 

(i)              Replication - means the repetition of the treatments under investigation.

 

(ii)            Randomization - provides a logical basis for the validity of the statistical tests of significance.

 

(iii)          Local control - which is a process of reducing the experimental error by dividing the heterogeneous area into homogeneous blocks and thus increases the efficiency of the design.