we need to check the p value to identify whether the factors and interaction effect is signficant or not
at5% signficance level , if the p value is less than 0.05 then it is signficant
so for factor a , it is 0.17 hence not significant
factor b, p value is 0 , hence less than 0.05 so signficant
for interaction term it is 0.026 , which is less than 0.05 , hence signficant
12.14 Using the ANOVA table below at 5% significance Source DF SSMS F P-value Factor A...
ANOVA Source of Variation SS df MS F p-value Factor A 35,166.79 3 11,722.26 Factor B 22,297.66 2 11,148.83 Interaction 206,903.76 6 34,483.96 Error 125,290.42 36 3,480.29 Total 389,658.63 47 (a) What kind of ANOVA is this? One-factor ANOVA Two-factor ANOVA with replication Two-factor ANOVA without replication (b) Calculate each F test statistic and the p-value for each F test using Excel's function =F.DIST.RT(F,DF1,DF2). (Round your Fcalc values to 3 decimal places and p-values to...
ANOVA Source of Variation SS df MS F p-value Factor A 30,865.45 3 10,288.48 Factor B 22,557.30 2 11,278.65 Interaction 119,155.58 6 19,859.26 Error 90,553.57 36 2,515.38 Total 263,131.90 47 (a) What kind of ANOVA is this? One-factor ANOVA Two-factor ANOVA with replication Two-factor ANOVA without replication (b) Calculate each F test statistic and the p-value for each F test using Excel's function =F.DIST.RT(F,DF1,DF2). (Round your Fcalcvalues to 3 decimal places and p-values to 4 decimal places.) Source of Variation...
ANOVA Source of Variation Factor A Factor B Interaction Error p-value MS 9,492.72 11,533.52 19,995.89 7,629.83 df 28,478.16 23,067.03 119,975.34 274,673.79 36 Total 446,194.32 47 (a) What kind of ANOVA is this? One-factor ANOVA O Two-factor ANOVA with replication O Two-factor ANOVA without replication (b) Calculate each F test statistic and the p-value for each Ftest using Excers function -F.DISTRT(FDF1,DF2) (Round your Fcalc values to 3 decimal places and p-values to 4 decimal places.) Source of Variation Factor A Factor...
Consider the following computer output for an
experiment.
Source
DF
SS
MS
F
P-value
Factor
5
?
?
?
?
Error
?
27.48
?
Total
29
66.24
Step Reserve Problems Chapter 13 Section 2 Problem 3 Consider the following computer output for an experiment. Source DF Factor 5 Error SS MS F P-value ? ? ? ? 227.48 ? Total 29 66.24 (a) How many replicates did the experimenter use? (b) Fill in the missing information in the ANOVA table....
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?....
Consider the following computer output for an experiment. SS Source DF Factor 5 MS F P-value ? ? ? ? Error 27.58 ? ? 29 66.14 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...
Consider the following computer output for an experiment. SS Source DF Factor 5 MS F P-value ? ? ? Error ? 27.58 ? 29 66.14 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...
Consider the following computer output for a single factor experiment. Source DF SS MS F P-value Factor DF=? 117.4 39.1 F=? P-value = ? Error 16 396.8 MSE=? Total 19 514.2 (a) How many levels of the factor were used in this experiment? (4 points) (b) How many replicates of each leveal did the experimenter use? (4 points) (c) Fill in the missing information in the ANOVA table. DF=? MSE=? F=? (6 points) (d) Estimate the P-value (the estimated range...
Consider the following computer output for an experiment. Source DF SS MS F P-value ? ? ? Factor 5 ? Error 27.48 ? ? Total 29 66.24 (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...
Consider the following computer output for an experiment. Source DF Factor 5 SS ? 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) 24.000 SS(Factor) 38.360 MS(Error) 1.153 = F = MS(Factor) 7.672 6.654 Round your answer to five decimal places (e.g. 98.76543). P-value 0.00051 (c) Compute...