How do multiple comparison techniques differ when we do two-way ANOVA as compared to one-way ANOVA?

Expert Solution

One way anova and two-way anova differ in number of variables (independent)

one-way ANOVA only involves one factor or in other words independent variable whereas there are two independent variables in a two-way ANOVA.

another difference in one way anova and two way anova is that

In a one-way ANOVA, the one factor or independent variable analyzed has three or more categorical groups. A two-way ANOVA instead compares multiple groups of two factors.

one way ANOVA is used to compare two means from two independent (unrelated) groups using the F-distribution.and hypothesis defined as following type.

The null hypothesis for the test is that the two means are equal. Therefore, a significant result means that the two means are unequal

One way ANOVA is used to look for a difference across k group means as a whole. If there is a statistically significant difference across k means then a multiple comparison method can be used to look for specific differences between pairs of groups.

Multiple comparison procedures are commonly used in an analysis of variance or anova to compare more than two groups.

there are two independent variables in a two-way ANOVA. In a one-way ANOVA, the one factor or independent variable analyzed has three or more categorical groups. A two-way ANOVA instead compares multiple groups of two factors.

Multiple comparison in two way anova

rejection of the null hypothesis, means that means of groups
are different and no further comparisons are required.example of multiple comparison in two way anova is given as following type

the test of H0: no interactions versus Ha: there are interactions

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orchestra answered 11 months ago

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