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

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How well does the method agree?<br />

Table 16 shows a summary <strong>of</strong> the standard differences (S.diff) between the 6 trainee<br />

raters and the author's score (column 1), plotted in Figs 1-15 275 (Appendix 2). <strong>The</strong><br />

scatter <strong>of</strong> differences remains constant and does not increase with the mean, so the<br />

differences can be further investigated in the raw state 276 . A test <strong>of</strong> association would<br />

be inappropriate at this stage as we cannot deduce that methods agree well if they are not<br />

statistically different. <strong>The</strong>re were large variations in the sample which may have<br />

regressed the mean and may well lead to important differences seeming non-significant<br />

(see tables 1-15 accompanying figs. 1-15, appendix 2).<br />

<strong>The</strong> S.diff. can be used as a measure <strong>of</strong> agreement by itself, but it is more useful<br />

to construct a range <strong>of</strong> values from it, which covers the agreement between the raters for<br />

most cases.<br />

For reasonably symmetric distributions we can expect the range mean +-2 S.D.<br />

to include 95% <strong>of</strong> the observations. We can therefore take mean +-2S.Diff. as a 95%<br />

range <strong>of</strong> agreement for individual paintings. This range defines the 95% limits <strong>of</strong><br />

agreement (shown in Table 16, column 2). For the present data, from the 95% ranges,<br />

the author is expected to score within 1 point <strong>of</strong> scores from independent raters on drawn<br />

line, orange and white; within 2 on yellow, black, space, and form, with a slight bias<br />

towards higher scores; and within 3 points on a further 5 variables: red, green, blue,<br />

intensity, and painted line, with discrepancies likely in either direction. 3 variables have<br />

275 against Author+RATS/2.<br />

276 Rather than translation to logarithmic scores.<br />

222

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