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H_0:μ_(1∙)=μ_(2∙)=⋯=μ_(a∙) F=MSA/MSE F_(ν_1,ν_2 ) ν_1=a-1 ,

ν_2=(a-1)(b-1)

H_0:μ_(∙1)=μ_(∙2)=⋯=μ_(∙b) F=MSB/MSE F_(ν_1,ν_2 ) ν_1=b-1 ,

ν_2=(a-1)(b-1)

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Q: How do you use Multiple Comparisons of Means (Two-way ANOVA) on Surface?
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How do you use Multiple Comparisons of Means (One-way ANOVA)?

H_0:μ_1=μ_2=⋯=μ_k F=MSA/MSE F_(ν_1,ν_2 ) ν_1=a-1 , ν_2=N-a


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Complete the following Two-Way ANOVA Table for the surface x_ij=μ_ij+ε_ij=α_i+β_j+ε_ij where x ̂_ij=x ̅_(i.)+x ̅_(.j)-x ̅_(..); clearly label T, A, B and E and include the amount of information present at each node: x_(ij∙), x ̂_(ij∙), x_(i∙∙),x_(∙j∙), and x_(∙∙∙).


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Null hypothesis of a one-way ANOVA is that the means are equal. Alternate hypothesis a one-way ANOVA is that at least one of the means are different.


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