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What do the Within values tell us for a two-way ANOVA? Is this the within variance for the total sample? Anova: Two-Factor With Replication SUMMARY

What do the Within values tell us for a two-way ANOVA? Is this the within variance for the total sample?

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Anova: Two-Factor With Replication SUMMARY Japanes Chinese Total System 1 Count 25 25 50 Sum 245 303 548 Average 9.8 12.12 10.96 Variance 5.25 4.11 5.957551 System 2 Count 25 25 50 Sum 215 214 429 Average 8.6 8.56 8.58 Variance 2.5 4.506667 3.432245 Total Count 50 50 Sum 460 517 Average 9.2 10.34 Variance 4.163265306 7.453469 ANOVA Source of Variation df MS F P-value F crit P- Value Notes F- Value Notes p<.05 this is f>Fcrit, this is significant. Reject significant. Reject null. This means the null. This means the system (rows) does system (rows) does have a main effect on have a main effect on the translation the translation Sample 141.61 1 141.61 34.60937 0.0000000587 3.940163 speed speed. p<.05 this is f>Fcrit, this is significant. Reject significant. Reject null. This means the null. This means the language (columns) language (columns) does have a main does have a main effect on the effect on the Columns 32.49 1 32.49 7.94053 0.00586988 3.940163 translation speed. translation speed. p<.05 this is="">Fcrit, this is significant. Reject significant. Reject null. This means that null. This means that the interactions the interactions effect is significant effect is significant between the system between the system Interaction 34.81 8.507536 0.004403603 3.940163 and language. and language. Within 392.8 96 4.091667 Total 601.71

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