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The psychopathology of everyday art: a quantitative Study - World ...

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<strong>The</strong> difficulty with using t-tests is that multiple significance testing gives a high<br />

probability <strong>of</strong> a type 1 error (a false positive result) because the probability becomes<br />

much more than 5%. Duncan's multiple range test controls the overall type 1 error rate<br />

at no more than 5% using the Bonferroni correction for multiple comparisons. <strong>The</strong><br />

procedure is suitable for groups with uncorrected variances and can also be adjusted for<br />

unbalanced design 261 . <strong>The</strong> disadvantage <strong>of</strong> this and similar methods available on SPSS is<br />

that they are 'conservative' so that errors are on the side <strong>of</strong> safety (non-significance).<br />

<strong>The</strong>refore small numbers <strong>of</strong> group comparisons (up to 5) are recommended, with<br />

specified research objectives 262 . In addition, since it is likely that some <strong>of</strong> the measures<br />

for ANOVA are correlated: in real life we can assume some correlation between multiple<br />

tests, it is more likely that the Bonferroni estimate would be conservative, placing any<br />

suspicion on non-significant data.<br />

Discriminatory power between controls and patients<br />

This final analysis aims to give distinct answers to 2 direct questions;<br />

(i) Is the DAPA as effective as other <strong>art</strong> assessments; and<br />

(ii) can the DAPA practically discriminate between patients and controls.<br />

<strong>The</strong>se two questions need to be attacked differently because they are respectively<br />

conjectural and pragmatic; (i) is answered through the illustration <strong>of</strong> effect sizes from t-<br />

test results, using the methodology explained in Chapter 2, which derived effect sizes for<br />

261<br />

It is a popular misconception that groups must be orthogonal for comparison tests, R. West (1991),<br />

Computing for Psychol ogists (London: Harwood).<br />

262 D.G. Altman (1994),<br />

Practical Statistics for Medical Research , London, 3rd. reprint, original 1991:<br />

208

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