Please explain how these figures are generated as simple as possible

Source    SS    df    MS    F    p-value
A    5.0139    1    5.0139    100.28    0
B    2.1811    2    1.0906    21.81    .0001
AB    0.1344    2    0.0672    1.34    .298
Error    0.6000    12    0.0500
Please explain how these figures are generated as simple as possible

Expert Solution

Explanation:

From given ANOVA table, it is observed that the p-value for the factor A is given as 0.00 which is less than alpha value 0.05, so we conclude that the factor A is statistically significant. In simple words, there is a significant difference in the two categories of the factor A. There are two levels or categories of factor A as the degrees of freedom is given as 1.

It is also observed that the p-value for the factor B is given as 0.0001 which means the factor B is statistically significant. In simple words, there is a significant difference in the three levels of the factor B. There are three levels as the degree of freedom is given as 2.

The p-value for the interaction between the factor A and B is given as 0.298 which is greater than alpha value 0.05, so we conclude that the interaction due to factor A and factor B is not statistically significant. There is no significant difference observed due to the interaction between given two factors.

orchestra answered 2 years ago

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