Ordinal and Disordinal

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Presentation transcript:

Ordinal and Disordinal With ANOVA, we can establish the nature of the interaction between two treatments No interaction Ordinal Interaction ~ effects of treatment are not equal across all levels of another treatment...but magnitude is in the same direction Show example from bookÖon overhead. No interaction: Prefer Balls/Cubes/StarsÖin a specific order. Prefer Green/Blue/RedÖin that order as well. Lines are roughly parallel. Ordinal: Lines are not parallelÖand do not cross. Big differences for red, small for green. Differences by color vary by shapeÖbt relative order stays the same. Disordinal: Differences in color vary by shape, not only in terms of magnitude but also direction. Lines are not parallel and cross one another. Balls do better when color is red or blue, but worse when the color is green.

Ordinal and Disordinal With ANOVA, we can establish the nature of the interaction between two treatments Disordinal Interaction ~ Effects of one treatment are positive for some levels and negative for other levels of the other treatment Show example from bookÖon overhead. No interaction: Prefer Balls/Cubes/StarsÖin a specific order. Prefer Green/Blue/RedÖin that order as well. Lines are roughly parallel. Ordinal: Lines are not parallelÖand do not cross. Big differences for red, small for green. Differences by color vary by shapeÖbt relative order stays the same. Disordinal: Differences in color vary by shape, not only in terms of magnitude but also direction. Lines are not parallel and cross one another. Balls do better when color is red or blue, but worse when the color is green.

Gráfico das médias. Interação Ordinal e Não Ordinal

Interaction effects and type: none Permissible to interpret main effects? Yes

Interaction effects and type: slight tendency – ordinal interaction Permissible to interpret main effects? Yes

Interaction effects and type: yes, disordinal interaction Permissible to interpret main effects? No

Interaction effects and type: yes, disordinal interaction Permissible to interpret main effects? No

Interaction effects and type: yes, ordinal interaction Permissible to interpret main effects? Yes