Please explain answers without using a graphing calculator. Thanks. Also, please
ID: 3127064 • Letter: P
Question
Please explain answers without using a graphing calculator. Thanks. Also, please don't handwrite anything. It is unreadable in this format.
Examine the following two-factor analysis of variance table: SSdf MSF-Ratio Sourc Factor A Factor B AB Interaction Error Total 162.79 4 28.12 262.31 12 1,298.74 84 a, Complete the analysis of variance table, b. Determine if interaction exists between factor A and factor B. Use -0.05. means. Use a significance level of 0.05 factor B have equal means? Use a significance level c. Determine if the levels of factor A have equal d. Does the ANOVA table indicate that the levels of of 0.05.Explanation / Answer
(a) The complete table is as follows
(b) At 5% level of significance since the calculated value lies inside the range ie F 12, 60 (5%) = 1.917 which is closer to df of 64. Hence, we can conclude that effects of interaction of the two factors is insignificant
(c) At 5% level of significance since the calculated value lies inside the range ie F 4, 60 (5%) = 2.525 which is closer to df of 64. Hence, we can conclude that Factor A do not have equal means as F = 3.463 > F 4, 60 (5%)
(d)At 5% level of significance since the calculated value lies inside the range ie F 4, 60 (5%) = 2.525 which is closer to df of 64. Hence, we can conclude that Factor A do have equal means F=2.393 < F 4, 60 (5%)
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Source SS df MS F-ratio Factor A 162.79 4 162.79/4 =40.6975 40.6975/11.7525 = 3.463 Factor B 112.48 4= 12/4+1 28.12 28.12/11.7525 = 2.393 AB Interaction 262.31 12 262.31/12=21.85917 21.85917/11.7525 = 1.86 Error 1298.74-(162.79+112.48+262.31) =752.16 84-(4+41+12)=64 752.16/64= 11.7525 Total 1298.74 84