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Basic Analysis and Graphing - SAS

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Chapter 5 Performing Oneway <strong>Analysis</strong> 151<br />

Nonparametric<br />

Table 5.12 Descriptions of Compare Means Options<br />

Difference Matrix<br />

Confidence Quantile<br />

LSD Threshold Matrix<br />

Connecting Letters Report<br />

Ordered Differences Report<br />

Detailed Comparisons Report<br />

Shows a table of all differences of means.<br />

Shows the t-value or other corresponding quantiles used for<br />

confidence intervals.<br />

Shows a matrix showing if a difference exceeds the least<br />

significant difference for all comparisons.<br />

Note: For Hsu’s MCB <strong>and</strong> Dunnett’s test, only Difference<br />

Matrix, Confidence Quantile, <strong>and</strong> LSD Threshold Matrix are<br />

applicable.<br />

Shows the traditional letter-coded report where means that are<br />

not sharing a letter are significantly different.<br />

Shows all the positive-side differences with their confidence<br />

interval in sorted order. For the Student’s t <strong>and</strong> Tukey-Kramer<br />

comparisons, an Ordered Difference report appears below the<br />

text reports.<br />

This report shows the ranked differences, from highest to<br />

lowest, with a confidence interval b<strong>and</strong> overlaid on the plot.<br />

Confidence intervals that do not fully contain their<br />

corresponding bar are significantly different from each other.<br />

Shows a detailed report for each comparison. Each section<br />

shows the difference between the levels, st<strong>and</strong>ard error <strong>and</strong><br />

confidence intervals, t-ratios, p-values, <strong>and</strong> degrees of freedom.<br />

A plot illustrating the comparison appears on the right of each<br />

report.<br />

This option is not available for All Pairs, Tukey’s HSD, <strong>and</strong><br />

Nonparametric Multiple Comparisons.<br />

Nonparametric<br />

Nonparametric tests are useful for testing whether group means or medians are located the same across<br />

groups. However, the usual analysis of variance assumption of normality is not made. Nonparametric tests<br />

use functions of the response ranks, called rank scores (Hajek 1969).<br />

Note: If you have specified a Block column, then the nonparametric tests are performed on data that has<br />

been adjusted for the Block means.

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