11.15 11.15 We want to compare four electronic calculator models in terms of their efficiency to perform ananalysis of variance. For this purpose, 3 students are randomly chosen from the statistical methods course,and each one is instructed on the optimal way to use each model for the proposed purpose. Subsequently,each of the 3 is asked to construct the Analysis of Variance table of the data from exercise 11.13, with eachof the four models, randomizing the order in which each model is used. Below are the times (in minutes) foreach attempt.BlockTreatments(students)M1M2M3M4113.812.614.715.318.616.420.319.9319.215.820.621.4Present the Analysis of Variance table and test the hypothesis that all four models are the same in terms oftheir use to construct the Analysis of Variance table. (a = 0.01).

Answered: 11.15 We want to compare four…

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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11.15

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Step 1

introduction -

Analysis of variance (ANOVA)

Analysis of variance is an analysis tool used in statistics that splits an observed aggregate variability found inside a data set into two parts : systematics factors and random factors . The systematic factors have a statistical influence on the given data set , while the random factors do not . Analysts use the ANOVA test to determine the influence that independent variables have no the dependent variable in regression study .

$M e a n = \frac{s u m o f a l l o b s e r v a t i o n s}{t o t a l n u m b e r o f o b s e r v a t i o n s}$