The present data set comes from probably the most famous case of a multiple personality (Osgood & Luria, 1954). In each personality, Eve White, Eve Black, and Jane produced scores on 10 semantic differential scales about concepts related to her present life and mental state for 15 concepts. Previous three-mode analyses of these data have appeared in Kroonenberg (1983) and Kroonenberg (1985).
Osgood & Luria (1954) published the scores on semantic differential scales for each of the three personalities Eve White, Eve Black, and Jane measured at two occasions (Testings I and II). In essence, the data are a four-way data set concepts by scales by personalities by testings. We will, however, treat them here as a three-way set with 15 concepts x 10 scales x 6 administrations.
|8.||Peace||Peace of mind|
|1.||Hot||Hot - Cold|
|2.||Worthl||Worthless - Valuable|
|3.||Relaxd||Relaxed - Tense|
|4.||Large||Large - Small|
|5.||Fast||Fast - Slow|
|6.||Clean||Clean - Dirty|
|7.||Tasty||Tasty - Distasteful|
|8.||Weak||Weak - Strong|
|9.||Deep||Deep - Shallow|
|1.||WhiteI||Eve White 1st measurement|
|2.||WhitII||Eve White 2nd measurement|
|3.||BlackI||Eve Black 1st measurement|
|4.||BlacII||Eve Black 2nd measurement|
|5.||JaneI||Jane 1st measurement|
|6.||JaneII||Jane 2nd measurement|
A three-way data array X = (x(i,j,k)) has the following form
|-----|i=1 |-----| |i=2 |-----| | |.. | | | |.. | | |____|i=I=15 k=K=6 | |____| k=2 |_____| k=1 j=1,.,J=10
The actual data file has the following form:
j=1,.,J=10 |-----|i=1 | |i=2 | |.. k=1 | |.. |_____|i=I=15 |-----|i=1 | |i=2 | |.. k=2 | |.. |_____|i=I=15 |-----|i=1 | |i=2 | |.. k=6 | |.. |_____|i=I=15
Thus the first mode (i) is nested in the third mode (k) and there are 15 (Concepts) times 6 (Personalities) rows and 10 (Scales) columns.
Semantic differenctial scales are multiway rating data. However, because they are bipolar scales their orientations are abitrary and one can therefore not sum the scores of each concept across all scales. This means that the only scaling allowed is for each scale-personaly combination. For details see Kroonenberg (2008). Applied multiway data analysis. Hoboken NJ: Wiley (Chapters 6 and 14).
[Download the zipped Multiple Personality Data]