Answer each question with \"increases, \" \"decreases, \" \"stays the same, \" o
ID: 3229998 • Letter: A
Question
Answer each question with "increases, " "decreases, " "stays the same, " or "not enough information to answer." "Increase" or "decrease" refers to the numerical value of a variable, not its interpretation as stringent or lenient. Assume that nothing else about the data changes besides the factor(s) listed in the problem. No need to explain or justify your answers. A. What happens to F_obt if the effect of the independent variable becomes weaker? B. What happens to F_obt if the group mean with the highest value becomes even higher in value? (Assume S_w^2 stays the same.) C. What happens to F_obt if the group mean with the highest value becomes lower? D. What happens to the p value if F_obt increases? E. What happens to S_w^2 when the effect of the independent variable decreases? F. What happens to S_B^2 when the effect of the independent variable decreases?Explanation / Answer
A) Decreases
When the independent variable becomes weaker then the relation between two variables also becomes weaker, this means the statistical significance fails. It actual mean, we fail to reject the null hypothesis. It obviously means F value is small.
B) Increases
When we find the significant difference between the group, the F value increases, given Sw is same.
C) Stays the same
when highest value decreases lower, so mean within the group and between the group going to be same.
D) Decreases
The increase in F value means the significant difference between the group that was the alternative hypothesis we are trying to prove. So the p-value will be as least as possible.
E) Stay the same
if there is no relationship can be explained by the variable it doesn't affect the Sw
F) Increases
If the effect of independent variable decreases it mean that the data is very sparse.