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# st: Re: interpretation

 From "Martyn Sherriff" To Subject st: Re: interpretation Date Wed, 11 Jun 2003 14:27:29 +0100

```I would be grateful for some advice or comments on this output from kwallis2
(Stata 8). On the basis of Kruskal-Wallis I would reject the null hypothesis
of no difference between regions, but the subsequent multiple comparison
indicate no significant differences between any of the regions.

Thanks,
Martyn

. kwallis2 score if q==13,by(region)
One-way analysis of variance by ranks (Kruskal-Wallis Test)
region   Obs   RankSum  RankMean
--------------------------------
1       48   4074.50     84.89
2       17   1064.50     62.62
3       62   4638.00     74.81
4       20   1101.00     55.05
Chi-squared (uncorrected for ties) =     8.336 with    3 d.f. (p = 0.03956)
Chi-squared (corrected for ties)   =     9.424 with    3 d.f. (p = 0.02416)
Multiple comparisons between groups
-----------------------------------
(Adjusted p-value for significance is 0.004167)
Ho: score(region==1) = score(region==2)
RankMeans difference =     22.27  Critical value =     31.70
Prob = 0.031944 (NS)
Ho: score(region==1) = score(region==3)
RankMeans difference =     10.08  Critical value =     21.60
Prob = 0.109120 (NS)
Ho: score(region==1) = score(region==4)
RankMeans difference =     29.84  Critical value =     29.90
Prob = 0.004234 (NS)
Ho: score(region==2) = score(region==3)
RankMeans difference =     12.19  Critical value =     30.75
Prob = 0.147871 (NS)
Ho: score(region==2) = score(region==4)
RankMeans difference =      7.57  Critical value =     37.06
Prob = 0.295024 (NS)
Ho: score(region==3) = score(region==4)
RankMeans difference =     19.76  Critical value =     28.89
Prob = 0.035590 (NS)
All the groups are comparable from each other.

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