smacof (version 2.1-7)

rectangles: Rectangles

Description

These data are based on an experiment by Borg and Leutner (1983). They constructed rectangles on the basis of the grid design (see rect_constr). Each point in this grid defines a rectangle. Rectangle 16, for example, had a width of 4.25 cm and a height of 1.25 cm; rectangle 4 was 3.00 cm wide and 2.75 cm tall. A total of 21 persons rated (twice) the similarity of each pair of these 16 rectangles (on a 10-point scale ranging from from 0 = equal/identical to 9 = very different) The means of these ratings over persons and replications are given in rectangles. A second dataset (rectangles2) is constructed based on area and shape of the rectangles.

Usage

data(rectangles)
data(rect_constr)
data(rectangles2)

Format

The rectangles are object of class dist, the constraints are given as matrix

References

Borg, I., & Leutner, D. (1983). Dimensional models for the perception of rectangles. Perception and Psychophysics, 34, 257-269.

Borg, I., Groenen, P. J. F., & Mair, P. (2017). Applied Multidimensional Scaling and Unfolding. New York, Springer.

Examples

rectangles
rect_constr
rectangles2