Six patients were each given four different pain killers and asked to rate each pain killer's effectiveness in reducing pain on a scale of 1 to 10 . A Friedman $F _ { r }$-test was performed on the results. A printout is shown below.
Friedman Test: Response versus Treatment blocked by Patient
$$\mathrm { S } = 18.00 \mathrm { DF } = 3 \mathrm { P } = 0.000$$
$\begin{array} { l r r r } \text { Treatment } & \mathrm { N } & \text { Est } & \text { Sum of } \ 1 & 6 & 7.500 & 24.0 \ 2 & 6 & 4.500 & 12.0 \ 3 & 6 & 6.000 & 18.0 \ 4 & 6 & 2.500 & 6.0 \end{array}$
Grand median $= 5.125$ Is there evidence that at least two of the treatment probability distributions differ in
location? Explain.

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The Answer of Six patients were each given four different pain killers and asked to rate each pain killer's effectiveness in reducing pain on a scale of 1 to 10 . A Friedman $F _ { r }$-test was performed on the results. A printout is shown below.
Friedman Test: Response versus Treatment blocked by Patient
$$\mathrm { S } = 18.00 \mathrm { DF } = 3 \mathrm { P } = 0.000$$
$\begin{array} { l r r r } \text { Treatment } & \mathrm { N } & \text { Est } & \text { Sum of } \ 1 & 6 & 7.500 & 24.0 \ 2 & 6 & 4.500 & 12.0 \ 3 & 6 & 6.000 & 18.0 \ 4 & 6 & 2.500 & 6.0 \end{array}$
Grand median $= 5.125$ Is there evidence that at least two of the treatment probability distributions differ in
location? Explain.

Six Patients Were Each Given Four Different Pain Killers and Asked