Analysis of Variance Essay

How would you explain the analysis of variance, assuming that your audience has not had a statistics trend before? When one does a study of data, generally this implies an evaluation of the messagepirited or average of that data. .i.e. What is the average time it takes a 5th grader to pure(a) his final math exam?A t test is utilize to test differences between both means. i.e. the mean of the experimentation group vs a control group. An ANOVA test, on the other hand, is indicated when there are terzetto or more means or populations to be examined.When solely two samples are looked at, the t test and ANOVA test will permit the said(prenominal) results.Beyond two examples, the t test can be used to evaluate other means using many t tests, but this method becomes unreliable and subject to increased error.ANOVA or analysis of variance stands one to use statistics to test the differences between two or more means and decreases the probability for a attribute 1 error, which mig ht occur when looking at multiple two-sample t tests. This is why use of the ANOVA is indicated for testing hypotheses where there are multiple means or populations.ANOVAs essentially takes the t test and applies it when testing or compare three or more groups, means or variables.Example experimentStudy different subjects of protein white plague on weight gain. Is the effect of apiece type of protein consumption on weight gain significantly quasi(prenominal) or different?50 men total, 10 men per group, individually group fed equal amount of protein calories but from different type of protein classification.One way ANOVA looking at effect of 5 different feeding strategies to increase weight gain. (i.e. high natural vehement meat protein diet, high vegetable protein diet, high protein powder diet, high weight protein diet, etc.). This is a one way ANOVA study because there is only one category (protein) that will be examined, as it relates to its effect on weight gain. It is balanced as there are an equal come up of men (10) consuming the same type of protein. Simplistically put, the study will outpouring us information as to whether or not each type of protein produces similar or different results (weight gain).Two way ANOVA, as the anticipate implies, includes the addition of a second variable that may be looked at as affecting weight gain. i.e. amount of exercise.Three way ANOVA, as the name implies, includes the addition of a third variable. i.e. consumption of other calories.In the end, the experiment may lead one to conclude that different types of protein consumption leads to weight gain. Unfortunately, experiments are never that cut and dry, and there are invariably other variables that must be accounted for. There is whats called error collect to chance and beyond human control or variation associated with assignable causes.An F test must be used to compare these errors and/or variations, to determine if the population variances are the sa me or different. If the variances are the same or equal, the F ratio will be 1. This will allow one to complete their study / experiment and make final conclusions.Referenceshttps//explorable.com/analysis of variancehttp//onlinestatbook.com/2/analysis_of_variance/intro.htmlhttps//people.richland.edu/james/lecture/m170/ch13-f.html