An example of when a one-way ANOVA could be used is if you want to determine if there is a
difference in the mean height of stalks of three different types of seeds. Since there is more than
one mean, you can use a one-way ANOVA since there is only one factor that could be making
the heights different.
Now, if take these three different types of seeds, and then add the possibility that four different
types of fertilizer is used, then you would want to use a two-way ANOVA. The mean height of
the stalks could be different for a combination of several reasons:
The types of seed could cause the change,
the types of fertilizer could cause the change, and/or
there is an interaction between the type of seed and the type of fertilizer.
There are two factors here (type of seed and type of fertilizer), so, if the assumptions hold, then
you can use a two-way ANOVA.
Solution
An example of when a one-way ANOVA could be used is if you want to determine if there is a
difference in the mean height of stalks of three different types of seeds. Since there is more than
one mean, you can use a one-way ANOVA since there is only one factor that could be making
the heights different.
Now, if take these three different types of seeds, and then add the possibility that four different
types of fertilizer is used, then you would want to use a two-way ANOVA. The mean height of
the stalks could be different for a combination of several reasons:
The types of seed could cause the change,
the types of fertilizer could cause the change, and/or
there is an interaction between the type of seed and the type of fertilizer.
There are two factors here (type of seed and type of fertilizer), so, if the assumptions hold, then
you can use a two-way ANOVA..
An example of when a one-way ANOVA could be used is if you want to d.pdf
1. An example of when a one-way ANOVA could be used is if you want to determine if there is a
difference in the mean height of stalks of three different types of seeds. Since there is more than
one mean, you can use a one-way ANOVA since there is only one factor that could be making
the heights different.
Now, if take these three different types of seeds, and then add the possibility that four different
types of fertilizer is used, then you would want to use a two-way ANOVA. The mean height of
the stalks could be different for a combination of several reasons:
The types of seed could cause the change,
the types of fertilizer could cause the change, and/or
there is an interaction between the type of seed and the type of fertilizer.
There are two factors here (type of seed and type of fertilizer), so, if the assumptions hold, then
you can use a two-way ANOVA.
Solution
An example of when a one-way ANOVA could be used is if you want to determine if there is a
difference in the mean height of stalks of three different types of seeds. Since there is more than
one mean, you can use a one-way ANOVA since there is only one factor that could be making
the heights different.
Now, if take these three different types of seeds, and then add the possibility that four different
types of fertilizer is used, then you would want to use a two-way ANOVA. The mean height of
the stalks could be different for a combination of several reasons:
The types of seed could cause the change,
the types of fertilizer could cause the change, and/or
there is an interaction between the type of seed and the type of fertilizer.
2. There are two factors here (type of seed and type of fertilizer), so, if the assumptions hold, then
you can use a two-way ANOVA.
