Answered: In an experiment, four different brands…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In an experiment, four different brands of fertilizer (A, B, C, and D) were tested on the growth of tomato plants. The experiment was repeated three times, and the average growth of the plants was measured. What is the purpose of performing a Friedman Test in this experiment?

Expert Solution

Step 1

Introduction

The Friedman Test is a non-parametric statistical test used to compare the effectiveness of multiple treatments or techniques when the data is not normally distributed. The test is appropriate when the response variable is ordinal or continuous, but not normally distributed, and the treatments are applied to a randomly selected sample. The Friedman Test involves ranking the responses for each treatment, and then computing a test statistic based on the differences between the ranks. The resulting test statistic is compared to a critical value from the χ2 distribution to determine whether there is significant evidence to suggest that the treatments have different effects on the outcome.