The numbers of crashes occurring for over a period of three years for different levels (high, medium, low) of AADT at unsignalized rural intersections are given in the table below. Using the Kruskal-Wallis H test determine whether it can be concluded that the distribution of crashes at unsignalized rural intersections is the same for all AADT levels. Use a significance level of 5 percent.

What will be an ideal response?




a) Rank the number of crashes as shown in Table below.





b) Determine the statistic H using Eq.5.84



c) Determine whether we should accept or reject the null hypothesis

Degrees of freedom = (3 – 1) = 2

? = 0.05

From the ?2 table in Appendix A, we obtain ?20.05,2 =5.991 < H = 6.12

Hence, it cannot be concluded that the distribution of crashes at unsignalized rural

intersections is the same for all AADT levels.

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