A randomized block design has three levels of factor A and five levels of factor

Question

A randomized block design has three levels of factor A and five levels of factor B where six replication for each combination are examined. The results include the following sum of square terms: SST = 1,525 SSA = 1,014 SSB = 361 SSAB = 16 Use Table 4 a. Construct and ANOVA table. (Leave no cells blank - be certain to enter "0" wherever required. Round "p" value to 3 decimal places and all other answers except "df" and "SS" to 2 decimal places.) b. At the 1% significance level, can you conclude that there is interaction between factor A and factor B? No Yes c. At the 1% significant level, can you conclude that the factor A means differ? Yes No d. At the 1% significance level, can you conclude that the factor B means differ? Yes No

Explanation / Answer

please find ANOVA table ; I have taken fator A as rows.

as p value is less then 0.01 level for all effects;

b) Yes

c) Yes

d) Yes

please revert for any clarification required.

soucre SS df MS F p value F crit 1% rows 1014 2 507.000 333.55 0.000 4.900 columns 361 4 90.250 59.38 0.000 3.580 interaction 36 8 4.500 2.96 0.006 2.758 error 114 75 1.520 total 1525 89

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