Researchers are interested in studying the effect of speed limits on traffic acc

Question

Researchers are interested in studying the effect of speed limits on traffic accidents. For a set of 100 roads with a speed limit of 55 miles-per-hour (mph), they record the number of accidents per year on each road for 10 consecutive years. The posted speed limit on each of these roads is then increased to 65 mph, and the number of accidents per year is recorded for each of the next 5 years. Is there a violation of independence within and/or between the 55 mph and 65 mph groups? If so, discuss why the independence assumption is violated in relation to a cluster effect, serial correlation, and/or spatial correlation.

Explanation / Answer

Correlation is defined as a change in one variable effect the change in the other variable, the change is defined as correlation. It reflects into two cases , positive correlation & negative correlation.

Clustering means dividing the series into homogeneous groups. Similar elements will appear in similar in groups.

In given problem , it describes the speed as the parameter it divide into two groups 55 mph and 65 mph. So it is defined as serious of correlation between different years.

Sptial correlation means relation between one measure and another measure. So the problem not belongs to this case..

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