Question

Consider the following computer output for an experiment. Source DF SS Factor 5 MS F P-value ? ? ? Error 27.68 ? ? 29 66.04 Total (a) How many replicates did the experimenter use? (b) Fill in the missing information in the ANOVA table. Round your answers to three decimal places (e.g. 98.765), except P-value. DF(Error) SS(Factor) MS(Error) MS(Factor) = = F = Round your answer to five decimal places (e.g. 98.76543). P-value = (c) Compute an estimate for o?. Round your answer to three decimal places (e.g. 98.765) %

Answer 1

Given that - Source DF SS P-value MS Fatoo le ? 9 1 ? 27.68 Error Total 66.04 29 come sponding to are 6-tactos @ since the dessees of freedom factors are 5 which means. there levels and also the total units are so There bose the number of replicates is 15 DF (erron :- (6) To find the gg DF Total DF 5 factor De total -DE factor DF Error 29-5 = 24 Dicerow) 24

* Now to find ss(facter) Here SS > 66.04 Total SS 27.68 107 = Now SS factor SS Total - SS €2007 66.04-27.68 38.360 SS (factor) -38.360 * Now to tind msleno) SSCerror) DF (Euro) 27.68 24 = 1.153 MS Censor) : Ms Cerror) = 1.153 * Now to find Ms (factos 38.360 = 7.672 5 ms Clactos) = ssc factos) DFC-factor ...ms (factor) = 7.672

XNow to find the F-statstic: we know that the formula of F-statstic is given by Ms Clactos) 7.672 F = 6.654 Ms (Espoo) 1.153 F = 6.654 * Now to find the P-value: P-value > 0.00051 :: P-value = 0.00051

A NOVA taste Source DF SS MS F P-value factor 5 38360 7.672 6.654 0.00051 1.153 27.68 E0007 24 29 Total 66.04 Compute an estimate for a Now to of 2 is The estimate McEnroo) DECE Scoo) 02 1.153 24 0.048 0.048 0