# Design and Analysis of Experiments-Analysis of Variance for 1 Way and 2 Way Classifications (ISS (Statistical Services) Statistics Paper IV): Questions 1 - 1 of 1

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## Question number: 1

» Design and Analysis of Experiments » Analysis of Variance for 1 Way and 2 Way Classifications

Appeared in Year: 2012

### Describe in Detail

What is a factorial experiment? Discuss a method to estimate all main effects and interaction effects considering replication size *r. * Also, write its ANOVA table.

### Explanation

**Factorial experiment: **

The factorial experiment is a two level factorial experiment design with three factors. Let us consider A, B, C as the three factors under study. Then This design tests three main effects (A, B and C) and three, two factorial effects (AB, BC, AC) and one factor interaction effect (ABC). There will be eight treatment combinat…

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