Anova

Anova is one of the important topics of statistics. Learn here on Anova, understand the concepts of one way anova and two way anova and thus gain quality statistics help.

The word anova means "analysis of variance ". Anova refers to the various techniques of analysing the variances by testing the means. The main purpose of anova is to test the significant differences between means of groups. It is called anova because in order to analyse the significant differences in means, actually  we are testing the significant differences of variances. ( Mean is the square root of variance).  Variance is calculated as the sum of the squared deviations from the mean divided by sample size minus one.
Anova Table

There are three different models of anova .All of these includes and become the anova table. Learn these anova models here:

(1) Fixed effect models

(2) Random effect models and

(3) Mixed effect models

The fixed effect models have the assumption that the data has come from normal populations and they may differ in their means only. The random effect models have the assumption that the data describes a hierarchy of different populations and the mixed effect models have both the assumptions.

There are different types of anova like

(i)   one-way anova

(ii)  multivariate anova

(iii)  factorial anova

(iv)  repeated measures anova and

(v)  mixed design anova

I am planning to write more post on Grouped Frequency Distribution and how to solve linear equations in one variable. Keep checking my blog.

Anova Examples

Anova is a collection of statistical models and procedures. In anova the observed variance is partitioned into components and it provides a statistical test for two or more means. This provides a better solution than two sample t-tests. F-test is used to compare the statistics in anova technique. There is a wide variety of applications of anova.

1. Anova technique is used to predict the precipitation behaviour of commercial materials.

2. One-way anova is used for means comparisons and plots and to specify By group variables.

3. Anova has its appications in applied microbiology

4. It is used to compare the means of business data from different populations.

5. Anova has its application in the exploding field of gene expression technique such as DNA microarrays.

Anova is a highly used tool in many other important fields of scientific research.