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Learn Agricultural Statistics with Rahul

Analysis of variance (ANOVA)

  • It is a statistical technique developed to study significance of difference between two or more than two sample means [ or equality of several means].

 

Assumptions of ANOVA

  • The distribution of residual is normal.
  • The data/samples are independent of each other and are taken at random.
  • Each one of the populations has same variance.
  • Variance are added or summed.

 

 

Characteristics of ANOVA

  • The dependent variable must be continuous and independent variable must be categorical.
  • Used in regression studies to determine the influence of independent variables on dependent variables.
  • Variance is assumed to be constant.
  • Adding and multiplying a constant to all observations doesn’t alter significance.

Note:

i) One-way ANOVA: When an independent factor ( Single factor) influences different sample groups.

ii) Two-way ANOVA: When two independent factors influence same sample groups.

 

Uses of ANOVA

  • To support other statistical tools.
  • To compare models with the objective of selecting samples that adequately describe the data.
  • To test hypothesis about batches of coefficient.
  • As a tool for summarizing complex high-dimensional inferences.
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