Question

In ANOVA models with more than one factor and with unequal subclass numbers, when we leave...

In ANOVA models with more than one factor and with unequal subclass numbers, when we leave out a explanatory variavle that affects the response
a) the explained variablity will increase
b) estimates of the effects for the remaining explanatory variable maybe biased
c) the total variability will increase
d) the coefficient of determination increases
Math   Statistics-And-Probability   
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Answer #1

Solution:

The correct option is:

b) estimates of the effects for the remaining explanatory variable may be biased

Explanation:

If we remove the explanatory variable that affects the response variable, then the explained variability will be decreased, therefore, the option a is incorrect. The option c is incorrect because the total variability will remain the same. The coefficient of determination will decrease if we remove the significant explanatory variable from the study. The correct option is therefore estimates of the effects for the remaining explanatory variable may be biased.

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