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

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Table 4, showing projected transformations for data based on computations designed to<br />

verify the assumptions <strong>of</strong> the ANOVA test.<br />

Tests <strong>of</strong> homogeneity <strong>of</strong> variance [df1=4; df2=104]<br />

Dependent<br />

variable<br />

Red<br />

Yellow<br />

Orange<br />

Purple<br />

Green<br />

Blue<br />

Brown<br />

White<br />

Black<br />

Intensity<br />

Paint-Line<br />

Drawn-Line<br />

Space<br />

Em-Tone<br />

Form<br />

Levene Statistic and<br />

significance level<br />

3.0023 (p=0.02)<br />

4.2948 (p=0.00)<br />

5.4983 (p=0.00)<br />

*<br />

1.9975 (p=0.10)<br />

1.2702 (p=0.29)<br />

3.1268 (p=0.02)<br />

*<br />

2.7400 (p=0.03)<br />

2.5948 (p=0.04)<br />

*<br />

2.9744 (p=0.02)<br />

1.6085 (p=0.18)<br />

2.4954 (p=0.05)<br />

6.0704 (p=0.00)<br />

Power for<br />

transformation<br />

.329<br />

.709<br />

.529<br />

*<br />

.789<br />

-.198<br />

.544<br />

*<br />

1.391<br />

0.502<br />

*<br />

1.241<br />

4.756<br />

1.622<br />

0.657<br />

243<br />

Action<br />

SQRT<br />

SQRT<br />

SQRT<br />

*<br />

LEAVE<br />

LEAVE<br />

SQRT<br />

*<br />

SQUARE<br />

SQROOT<br />

*<br />

SQUARE<br />

LEAVE<br />

SQUARE<br />

SQROOT<br />

* Median not positive so LN <strong>of</strong> Spread vs LN <strong>of</strong> Level is not plotted.<br />

Homogeneity <strong>of</strong> variance not tested. Insufficient unique spread/level pairs to compute the regression slope.<br />

Table 5, showing transformed data based on computations designed to verify the<br />

assumptions <strong>of</strong> the ANOVA test.<br />

Tests <strong>of</strong> homogeneity <strong>of</strong> variance [df1=4; df2=104]<br />

Dependent<br />

variable<br />

Red<br />

Yellow<br />

Orange<br />

Brown<br />

Black<br />

Intensity<br />

Drawn line<br />

Em tone<br />

Form<br />

Levene Statistic and<br />

significance level<br />

0.6942 (p=0.5976)<br />

1.8480 (p=0.1253)<br />

4.7938 (p=0.0014)<br />

1.2466 (p=0.2959)<br />

5.0957 (p=0.0009)<br />

2.8094 (p=0.0292)<br />

1.8426 (p=0.1263)<br />

2.4488 (p=0.0508)<br />

1.0938 (p=0.3636)<br />

Action<br />

RETAIN<br />

RETAIN<br />

+<br />

RETAIN<br />

*<br />

+<br />

RETAIN<br />

+<br />

RETAIN<br />

* Squaring the data did not produce appreciable difference and the removal <strong>of</strong> outliers did not affect the<br />

distribution. <strong>The</strong>refore no clear appropriate transformation <strong>of</strong> this figure emerged.<br />

+ Although there was some improvement on Orange, values remained highly significant so this variable<br />

was dropped. <strong>The</strong> other 2 variables, Emotional Tone only gained slightly and was only just significant<br />

in its original state so was judged better left within tolerance (0.05); Intensity became significant on<br />

transformation (p=0.04) so it was also left.<br />

Variables left untransformed<br />

Transformation achieved no better results for homogeneity in the population than the<br />

original statistics for 3 variables: black, intensity, emotional tone (tables/figs 2a-f,

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