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Basic Analysis and Graphing - SAS

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Chapter 5 Performing Oneway <strong>Analysis</strong> 155<br />

Nonparametric<br />

Table 5.15 Description of the Kolmogorov-Smirnov Test (Continued)<br />

KS<br />

KSa<br />

D=max|F1-F2|<br />

Prob > D<br />

D+=max(F1-F2)<br />

Prob > D+<br />

D-=max(F2-F1)<br />

Prob > D-<br />

A Kolmogorov-Smirnov statistic.<br />

An asymptotic Kolmogorov-Smirnov statistic.<br />

Lists the maximum absolute deviation between the EDF of two class levels.<br />

Lists the p-value for the test. In other words, the probability that D is greater<br />

than the observed value d, under the null hypothesis of no difference<br />

between class levels or samples.<br />

Lists a one-sided test statistic that max deviation between the EDF of two<br />

class levels is positive.<br />

Lists the probability that D+ is greater than the observed value d+, under the<br />

null hypothesis of no difference between the two class levels.<br />

Lists a one-sided test statistic that max deviation between the EDF of two<br />

class levels is negative.<br />

Lists the probability that D- is greater than the observed value for d-.<br />

Table 5.16 Descriptions of the Nonparametric Multiple Comparisons Tests<br />

q* Gives the quantile value used in the confidence intervals.<br />

Alpha<br />

Level<br />

Score Mean Diff<br />

Std Err Dif<br />

Z<br />

Gives the alpha level used in the confidence intervals<br />

Gives the pair used in the current comparison<br />

Gives the difference of the score means.<br />

Gives the st<strong>and</strong>ard error of the difference between the score means.<br />

Gives the st<strong>and</strong>ardized test statistic, which has an asymptotic st<strong>and</strong>ard<br />

normal deviation under the null hypothesis.<br />

p-Value Gives the asymptotic two-sided p-value for Z.<br />

Hodges-Lehmann<br />

Lower CL<br />

Upper CL<br />

Gives the Hodges-Lehmann estimator of location shift. It is the median of<br />

all paired differences between observations in the two samples.<br />

Gives the lower confidence limit for the Hodges-Lehmann statistic.<br />

Gives the upper confidence limit for the Hodges-Lehmann statistic.

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