ANOVA Testing

University of PhoenixResearch and Evaluation The Army would desire to relocate me. My choices ar Georgia, azimuth and California. I result find the most cost scotch domicile to live. Since transportation is a necessity in immediately?s world I thought that I would become flat with the prices of accelerator. I would like to detect laid if the opine gas prices be play off in all(prenominal) third states. I will make the Analysis of Variance (ANOVA) prove. The former I chose this extra tribulation is because the data met all terzetto requirements to perform the ANOVA. The requirements met were: ?1. the universe of discourses pass clear up the normal distribution; 2. the population have equal standardize deviations; 3. the populations are independent? (Lind, Marchal, & adenosine monophosphate; Wathen, 2004, P. 392). Next I trace together 25 samples of gas prices from each state. I am use .05 as the take of significance. The data collected is as follows:ArizonaGeorgiaCalifornia$1.65$1.79$1.99$1.89$1.82$2.03$1.89$1.83$2.04$1.91$1.84$2.05$1.92$1.85$2.09$1.93$1.86$2.12$1.94$1.87$2.15$1.95$1.87$2.49$1.95$1.87$2.85$1.97$1.87$2.39$1.97$1.81$2.03$1.98$1.85$2.03$1.98$1.85$2.03$2.02$1.76$2.04$2.02$1.76$2.79$2.02$1.77$2.71$2.03$1.79$2.49$2.03$1.86$2.05$2.05$1.87$2.55$2.06$1.87$2.49$2.07$1.88$2.03$2.07$1.89$2.13$2.09$1.82$2.15$2.09$1.94$2.14$2.11$2.07$2.37Using the above data it is intractable thatH sub 0 is µA = µI = µCH sub 1 is at least bingle mean is different. The critical comfort is 2.03; therefore we can reason that if the F calculation is greater than 2.03 the null is rejected. The data digest gumshoe in pass was used for the ANOVA and the results are at a dismount place:Anova: superstar FactorSUMMARYGroupsCountSumAverageVarianceArizona2549.591.98360.009074Georgia2546.261.85040.003971California2556.232.24920.

071949ANOVASource of VariationSSdfMSFP-valueF critBetween Groups2.06105921.03052936.374191.21E-113.123907Within Groups2.039856720.028331 fit4.10091574From this I know that the SST is 2.06; the sou-sou-east is 2.03 and the SS Total is 4.10. This also shows that F = 36.37; therefore, the null is rejected. Their for I cannot close down that all the agent are equal. Now to determine the scoop place to live since the delegacy are not equal I determine which of the means were different. To figure this out I performed some other test using Mega stat, shown below. Post hoc analysisTukey coincidental comparison t-values (d.f. = 72)GeorgiaArizonaCalifornia1.850... If you want to get a full essay, lay it on our website: Ordercustompaper.com

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