In Using the Kruskal-Wallis Test, There Is a Correction Factor $1 - \frac { \sum \mathrm { T } } { \mathrm { N } ^ { 3 } - \mathrm { N } }$

question 35

Multiple Choice

In using the Kruskal-Wallis test, there is a correction factor that should be applied whenever there are many ties: Divide H by $1 - \frac { \sum \mathrm { T } } { \mathrm { N } ^ { 3 } - \mathrm { N } }$ For each group of tied observations, calculate T $T=t^{3}-t$
t, where t is the number of observations that are tied
Within the individual group. Find t for each group of tied values, then compute the value of T for each group,
Then add the T values to get $\sum ^ { \mathrm { T } }$ . The total number of observations in all samples combined is N. Find the
Corrected value of H for the data below which represents test scores for three different groups. $$\begin{array} { l c c c c c c } \text { Group 1: } & 20 & 18 & 18 & 18 & 20 & 20 \\\text { Group 2: } 18 & 12 & 18 & 18 & 20 & \\\text { Group 3: } 16 & 18 & 13 & 18 & 18 &\end{array}$$

• A) 3.78
• B) 4.91
• C) -0.19
• D) 3.69

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