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You are given an ANOVA table below with some missing entries.
a. State the null and alternative hypotheses.
b. Compute the sum of squares between treatments.
c. Compute the mean square due to error.
d. Compute the total sum of squares.
e. Compute the test statistic f.f. Test the null hypothesis stated in Part a at the 1% level of significance. Be sure to state your conclusion.
Two-way ANOVA
This test analyzes how two categorical variables affect a continuous target variable.
Interaction
In statistics, it refers to a situation where the effect of one variable on an outcome is changed by the level of another variable.
Null Hypotheses
The hypothesis that there is no effect or no difference, and any observed difference is due to sampling or experimental error.
Two-way ANOVA
An approach in statistical analysis used to determine the impact of two nominal variables on a continuous variable they predict.
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