Answer :
To determine whether the earlier measure of one variable is associated with the later measure of the other variable, we can calculate the cross-lag correlation between these two variables. This will give us a measure of the strength and direction of the relationship between the two variables.
If the cross-lag correlation between aggression in third grade and tv violence in 13th grade is positive and statistically significant, it would suggest that there is a positive relationship between the two variables, meaning that higher levels of aggression in third grade are associated with higher levels of tv violence in 13th grade.
On the other hand, if the cross-lag correlation is negative and statistically significant, it would suggest that there is a negative relationship between the two variables, meaning that higher levels of aggression in third grade are associated with lower levels of tv violence in 13th grade.
Similarly, we can also calculate the cross-lag correlation between tv violence in third grade and aggression in 13th grade to determine whether the earlier measure of one variable (tv violence in third grade) is associated with the later measure of the other variable (aggression in 13th grade).
By calculating both cross-lag correlations, we can address the directionality problem and establish temporal precedence between the two variables. This helps us understand the nature of the relationship between aggression and tv violence over time and how it may change as individuals age.
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