a) 48 unmanipulated mixtures of emotion - the entire set of items of the Szondi test (Szondi, 1947; Szondi et al., 1959). These mixed expressions cover a very wide spectrum (not intended by Szondi) as was found by Vargha (1979) and by Shalif (1980 - unpublished).
b) 33 manipulated facial expressions of basic emotions taken from Izard (1971, 1977) and Ekman & Friesen (1975). For happiness, surprise, fear, anger, disgust and contempt (the last included for control purposes) - 4 items for each; for sadness, three items: for distress (a version of sadness?), interest and shame (the last included for control purposes) - two for each.
c) 24 manipulated mixtures of basic emotions taken from Ekman & Friesen (1975).
All the photographs were black and white and of the same size. The photographs were arranged in two parallel sets (of 105). In one of the sets, each photograph was mounted on a white card measuring 7 by 10 centimeters and all were attached to a Rolex revolving drum of telephone-number-cards. In the second set the photographs were mounted on plates, in groups of 7 to 12. The detailed list of the origin of each photograph and its place on the drum and the plates is in appendix number one.
2) 148 words in the Hebrew language, printed in alphabetic order in four columns of one page. To the left of each word was the following scale of six grades and five intermediate grades (the lines between the numbers): _1_|_2_|_3_|_4_|_5_|_6_ .
a) 96 words of indubitably emotional content to be analyzed by multidimensional scaling.
b) 35 words naming dimensions and variables found in the publications of previous research as causes for systematic changes of item content to non emotional domains.
c) 17 words of emotion that relate to the 96-word-list but differ in a
systematic way (intensity or frequency), which were included for control
purposes.
The examiner contacted students from several buildings and made efforts to include in the study a high percentage of each. (This and the content of the posters was arranged in order to minimize the effects of self selection.)
1) to decrease the deviation of the emotional mood of the subjects from their mood of that day and hour;
2) to decrease the percentage of refusers - (see results).
At the beginning of the session the subject was told that anonymity was assured and that explanations would be given at the end. Then the subject was asked which was his/her dominant hand - left-handers were sat to the left of the examiner and right-handers to his right.
Then, the examiner read aloud the following instructions for the first task while the subject followed them with his eyes: "Photographs of facial expressions (some of the same persons) will be presented. You are asked to mark - after a first (short) look - one of the grades of the scale according to the measure in which the feeling or the emotion expressed in the photograph is compatible with (i.e. near or like) what you are feeling now.
(When it is hard to decide which of two adjacent grades to mark - one can mark the partition between them as an intermediate grade.) However, each scale must be marked as skipping is not permitted."
After the examiner finished reading the instructions, he added: "I want to emphasize that the use of grade 1 is only when (the photograph) is entirely not compatible - i.e. entirely contradicting what you are feeling." This point was added after subjects in pretests tended to give this grade to the majority of the artificial basic emotions of intense negative content.
After the first item, the examiner asked if the content of the label of the marked grade was correct (i.e. if completely incompatible or incompatible or any of the others - whatever he chose, depict him correctly - to make sure that the subject used the grades correctly). The drum was revolved to change the exposed item while the subject marked the scale for the previous one.
Then the examiner read the instruction for the second task which were nearly the same as those of the first task. The only difference was that here he referred to the 148 words.
After the fourth task, the subject was given the opportunity to ask about the study and to ventilate her/his feelings. Then the examiner asked about any unusual occurrences that were observed during the session.
In this study one of the central groups of items is the 48 photographs of unmanipulated emotional expressions. As their basic emotional composition is not known, the direct interpretation of the dimensions and the directions of the mathematical solution by the aid of the 48 items is impossible.
The interpretation of the directions and the dimensions of the multidimensional scaling of the 48 (materials: 1a) items and to a large extent even that of the 96 emotional words (materials 2a) is based on correlations between subject's dimensional scores and other variables (of verbal and non verbal content).
a) The output of the multidimensional analysis of the inter correlation matrix of the items (S.S.A.-I) of the 48 items (and later that of the 96 words) - the matrix of dimensional coordinates of the items - was linearly transformed so that the mean of the dimension coordinates of the items for each dimension is equal to "0".
(Different versions of multidimensional scaling techniques give the coordinate of items on the dimensions in an unstandardized way with regard to where they put the origin of the space and the range of the coordinates. The most meaningful point of a multidimensional scaling model is the centroid of the mathematical solution. Therefore, the said linear transformation was applied.)
b) The second step is the computation of each of the subjects' dimensional scores for each of the dimensions (for each item group by itself). The computation is like the multiplication of a line with a matrix . For each dimension, each subject score for an item is multiplied by the item coordinate for this dimension. The results of the multiplications are totalled and divided by the number of items. This result is the subject's score for that dimension.
As a result of this calculation, a subject who gave all the items the same score, will have the dimension score of "0" for all the dimensions of this item group. The higher a subject's item scores are for items which are clearly in one direction of the multidimensional space of the mathematical solution, the more his dimensional scores lie in that direction.
(The following two references are of similar applications of this approach: 1) Takane et al., 1977 - based on INDSCAL; 2) Shalif et al.,1981 - based on Guttman-Lingoes non metric program series, Lingoes, 1973.)
As the examiner promised anonymity to the subjects, as the tasks and the data-collecting needed his full attention, and as the study is not about the variance among people - there was no systematic data collection except that of the item-scores.
It is worth mentioning, however, that the subjects were from diverse faculties and departments. They differed in their backgrounds, involvement with the task and their moods, both before the session and during it. Some of the subjects enjoyed their tasks. Others responded with tension to different sections of the study. Some subjects had difficulty in choosing the scores for the items, others were very hasty.
The median length of time per
subject was about 45 minutes, the longest was one and a half hours and the
shortest about 35 minutes. The majority of the subjects were more interested
in the rationale of the study than in their fee.
---------------------------------------------------------------------------- Items /Scores| 1 |1.5| 2 |2.5| 3 |3.5| 4 |4.5| 5 |5.5| 6 |Median -------------|-----|----|---|----|---|----|---|----|---|----|---|----|------ 1a - 48 Mixed|Freq.| 989| 35|2550|103|2440|140|2097| 73|1072| 18| 77| 3.02 expressions | % |10.2|0.4|26.3|1.1|25.2|1.4|21.6|0.8|11.1|0.2| 1.8| ** -------------|-----|----|---|----|---|----|---|----|---|----|---|----|------ 1b - 33 Basic|Freq.|1841| 80|1947| 68|1112| 96| 834| 45| 491| 12| 139| 2.27 emotions | % |27.6|1.2|29.2|1.0|16.7|1.4|12.5|0.7| 7.4|0.2| 2.1| ** -------------|-----|----|---|----|---|----|---|----|---|----|---|----------- 1c - 24 Mixed|Freq.|1195| 81|1553| 71| 914| 67| 621| 31| 260| 5| 50| 2.28 basic emotio.| % |24.6|1.7|32.0|1.4|18.9|1.4|12.8|0.6| 5.4|0.1| 1.0| ** -------------|-----|----|---|----|---|----|---|----|---|----|---|----|------ 2 - 148 Words|Freq.|4102|210|7007|298|5082|505|6046|427|4555|140|1440| 3.12 ( a + b + c )| % |13.8|0.7|23.5|1.0|17.0|1.7|20.3|1.4|15.3|0.5| 4.8| ** --------------------------------------------------------------------------- **100% For that row
As the distributions of the scores of too many items is skewed, the non-parametric statistical procedures were preferred.
For each of these 48 items, the highest correlations between it and the 33 basic emotions - materials: 1b - are all significant. 46 of them are of 0.001 two tail or more, one is of 0.003 and one of 0.015 (r=-017).
One can deduce from the above findings that items of this group functioned in this study as a relatively reliable measure of the emotional feelings of the subjects.
Table No. 2: Matrix of correlations among the subgroups of basic emotions of each procedure and between two procedures. ----------------------------------------------------------------------------- Free scaling procedure | Q-Sort procedure ----------------------------------------------------------------------------- | H | S | I | F | A | D | S | C | S | H | S | I | F | A | D | S | C |S | A | U | N | E | N | I | A | O | H | A | U | N | E | N | I | A | O |H | P | R | T | A | G | S | D | N | A | P | R | T | A | G | S | D | N |A | P | P | E | R | E | G | N | T | M | P | P | E | R | E | G | N | T |M | I | R | R | | R | U | E | E | E | I | R | R | | R | U | E | E |E | N | I | E | | | S | S | M | | R | I | E | | | S | S | M | F| | E | S | S | | | T | S | P | | E | S | S | | | T | S | P | R| | SS| E | T | | | | | T | | SS| E | T | | | | | T | E|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|--- E|HAP ** 57 40 05 00 05 -13 21 -02|*63 40| 03 -14 -20 02 -50 -21 -36 |SUR 57 ** 50 46 39 42 25 38 13| 30 *44|-03 06 -07 05 -31 -36 -32 G|INT 40 50 ** 26 22 28 24 34 31| 13 17|*13 -07 -07 00 -14 -19 -13 S|FEA 05 46 26 ** 83 73 66 54 28|-10 03|-07 *30 15 -03 07 -24 -10 C|ANG 00 39 22 83 ** 73 70 57 31|-22 -01|-04 20 *21 01 08 -17 00 A|DIS 05 42 28 73 73 ** 67 54 33|-17 -10|-02 15 01 *21 07 -10 -04 L|SAD -13 25 24 66 70 67 ** 52 39|-38 -19|-12 25 09 -02 *37 -10 04 I|CON 21 38 34 54 57 54 52 ** 50|-09 -03|-07 -03 04 -02 -02*(07) 04 N|SHA -02 13 31 28 31 33 39 50 **|-29 -15|-14 -05 03 -07 24 09 *37 G|==================================| HAP| ** 37| 05 -19 -28 -12 -54 -26 -37 Q| SUR| 37 **| 13 00 -15 -19 -52 -36 -36 ** Correlation of 1.00 between a \| INT| 05 13| ** -13 -04 -10 -15 -11 -15 subgroup and itself S| FEA|-19 00|-13 ** 06 -16 08 -19 -25 O| ANG|-28 -15|-04 06 ** -11 -04 -03 03 * The correlation between the R| DIS|-12 -19|-10 -16 -11 ** -07 04 -13 subgroup's scores of the two T| SAD|-54 -52|-15 08 -04 -07 ** -03 28 procedures | CON|-26 -36|-11 -19 -03 04 -03 ** 30 | SHA|-37 -36|-15 -25 03 -13 28 30 ** =========================================
The correlations between the subgroups' two procedures are not homogeneous. One can see in Table two that the correlation of happiness (0.63) is the highest. It can also be seen that those of interest and contempt are very low. That of interest is barely significant (0.028 - one tail) and that of contempt - r=0.07 - is not significant at all.
It seems that for many items and subgroups of artificial basic emotions the two procedures led the subjects to focus their attention on different aspects of the items.
The majority of the correlations between subgroup scores of the free scaling
of the first task - as one can see in Table 3 - are significant (30 out of 36
- p<0.003, two tail or more). The median correlation is +0.385, p<0.001.
This phenomenon is mainly the result of subjects' general response set of
tendency to denial to the items of the negative emotions: fear, anger,
sadness, disgust; and their too willing acceptance of the three positive
emotions (happiness, surprise, interest).
Those sets of response are not symmetric as the inter-correlation of the three positive emotions is relatively lower (there is more discrimination among them). Another set - that of general trend of yes-saying or no-saying - is responsible for the positive correlations between the items and the sub-groups of positive and negative emotions.
The inter-sub-group correlations of the Q-Sort procedure are much more differentiated. But even in this procedure where item scores are in competition, there are still positive correlations and with three of the items the level of significance is of p<0.001 . Only 15 of the 36 are negatives with significance of 0.05 or more.
Table No. 3: The matrix of correlations among the 10 items of the sub- groups of happiness, surprise, interest from the free grading procedure ---------------------------------**-----------------------**----------- |Subgroup| Happiness || Surprise || Interest |--------|-----------------------||-----------------------||----------- |Item No.| 1 | 9 | 17 | 25 || 2 | 10 | 18 | 26 || 8 | 24 |--------|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- | H | 1 | 1.0 | 0.64| 0.59| 0.56|| 0.51| 0.31| 0.36| 0.46|| 0.37| 0.17 | a |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- | p | 9 | 0.64| 1.0 | 0.78| 0.78|| 0.42| 0.42| 0.40| 0.52|| 0.40| 0.19 | p |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- | i | 17 | 0.59| 0.78| 1.0 | 0.80|| 0.35| 0.31| 0.41| 0.45|| 0.34| 0.18 | ne|----|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- | ss| 25 | 0.56| 0.78| 0.80| 1.0 || 0.38| 0.37| 0.43| 0.60|| 0.31| 0.22 |========|=====|=====|=====|=====||=====|=====|=====|=====||=====|===== | S | 2 | *** | *** | *** | *** || 1.0 | 0.60| 0.68| 0.46|| 0.42| 0.15 | u |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- | r | 10 | *** | *** | *** | *** || 0.60| 1.0 | 0.59| 0.49|| 0.34| 0.19 | p |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- | r | 18 | *** | *** | *** | *** || 0.68| 0.59| 1.0 | 0.51|| 0.50| 0.30 | i |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- | se| 26 | *** | *** | *** | *** || 0.46| 0.49| 0.51| 1.0 || 0.40| 0.25 |========|=====|=====|=====|=====||=====|=====|=====|=====||=====|===== |Int| 8 | *** | *** | *** | *** || *** | *** | *** | *** || 1.0 | 0.23 |ere|----|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- |st | 24 | *** | *** | *** | *** || *** | *** | *** | *** || 0.23| 1.0 ======================================================================= Table No. 4: The matrix of correlations among the 10 items of the sub- groups of happiness, surprise, interest from the Q-SORT procedure ---------------------------------**-----------------------**----------- |Subgroup| Happiness || Surprise || Interest |--------|-----------------------||-----------------------||----------- |Item No.| 1 | 9 | 17 | 25 || 2 | 10 | 18 | 26 || 8 | 24 |--------|-----|-----|-----|-----||-----|-----|-----|-----||-----|----- | H | 1 | 1.0 | 0.47| 0.56| 0.49|| 0.35| 0.06| 0.16| 0.35|| 0.12|0.12 | a |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|---- | p | 9 | 0.47| 1.0 | 0.64| 0.67|| 0.43| 0.13| 0.24| 0.31||-0.07|0.06 | p |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|---- | i | 17 | 0.56| 0.64| 1.0 | 0.63|| 0.29| 0.01|-0.03| 0.33|| 0.07|0.09 | ne|----|-----|-----|-----|-----||-----|-----|-----|-----||-----|---- | ss| 25 | 0.49| 0.67| 0.63| 1.0 || 0.42| 0.15| 0.21| 0.26|| 0.07|-.01 |========|=====|=====|=====|=====||=====|=====|=====|=====||=====|==== | S | 2 | *** | *** | *** | *** || 1.0 | 0.19| 0.40| 0.42|| 0.28|0.01 | u |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|---- | r | 10 | *** | *** | *** | *** || 0.19| 1.0 | 0.36| 0.20||-0.04|-.06 | p |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|---- | r | 18 | *** | *** | *** | *** || 0.40| 0.36| 1.0 | 0.26|| 0.06|-.02 | i |----|-----|-----|-----|-----||-----|-----|-----|-----||-----|---- | se| 26 | *** | *** | *** | *** || 0.42| 0.20| 0.26| 1.0 || 0.31|-.04 |========|=====|=====|=====|=====||=====|=====|=====|=====||=====|==== |Int| 8 | *** | *** | *** | *** || *** | *** | *** | *** || 1.0 |-.07 |ere|----|-----|-----|-----|-----||-----|-----|-----|-----||-----|---- |st | 24 | *** | *** | *** | *** || *** | *** | *** | *** ||-0.07| 1.0 =======================================================================
These findings suggest that the validity of the surprise items is not very high. It seems that item 26 is a mixture of happiness and surprise - more happiness than surprise. It might be that all the items of this sub group are mixtures of surprise with the content of the items of the sub group of happiness.
Table 5 of the free grading (task 1) and Table 6 (of the Q-Sort) that follow, contain the matrices of correlations of the 15 items of those sub groups and the two items of distress (included for control). The majority of those items were graded by about 75% of the subjects with the lowest grade they chose to use (1 or 2).
Table No. 5: Matrix of correlations of the items of the subgroups fear, anger, disgust, sadness and distress - of the free gradings. -----------------------------**-------------------**-------------------- |Subgroup| Fear || Anger || Disgust | |--------|-------------------||-------------------||-------------------| |Item No.| 3 | 14 | 19 | 31 || 4 | 12 | 20 | 28 || 5 | 15 | 21 | 32 | |--------|----|----|----|----||----|----|----|----||----|----|----|----| | F | 3 |1.0 |0.53|0.59|0.61||0.75|0.53|0.53|0.54||0.54|0.44|0.54|0.44| | e |----|----|----|----|----||----|----|----|----||----|----|----|----| | a | 14 |0.53|1.0 |0.63|0.61||0.55|0.51|0.57|0.56||0.40|0.54|0.57|0.61| | r |----|----|----|----|----||----|----|----|----||----|----|----|----| | | 19 |0.59|0.63|1.0 |0.60||0.62|0.55|0.76|0.66||0.55|0.44|0.64|0.44| | |----|----|----|----|----||----|----|----|----||----|----|----|----| | | 31 |0.61|0.61|0.60|1.0 ||0.56|0.54|0.57|0.62||0.46|0.40|0.54|0.45| |========|====|====|====|====||====|====|====|====||====|====|====|====| | A | 4 | ** | ** | ** | ** ||1.0 |0.63|0.57|0.59||0.62|0.41|0.54|0.42| | n |----|----|----|----|----||----|----|----|----||----|----|----|----| | g | 12 | ** | ** | ** | ** ||0.63|1.0 |0.63|0.65||0.59|0.43|0.62|0.33| | e |----|----|----|----|----||----|----|----|----||----|----|----|----| | r | 20 | ** | ** | ** | ** ||0.57|0.63|1.0 |0.65||0.55|0.49|0.70|0.36| | |----|----|----|----|----||----|----|----|----||----|----|----|----| | | 28 | ** | ** | ** | ** ||0.59|0.65|0.65|1.0 ||0.48|0.41|0.59|0.41| |========|====|====|====|====||====|====|====|====||====|====|====|====| | D | 5 | ** | ** | ** | ** || ** | ** | ** | ** ||1.0 |0.39|0.62|0.32| | i |----|----|----|----|----||----|----|----|----||----|----|----|----| | s | 15 | ** | ** | ** | ** || ** | ** | ** | ** ||0.39|1.0 |0.53|0.35| | g |----|----|----|----|----||----|----|----|----||----|----|----|----| | u | 21 | ** | ** | ** | ** || ** | ** | ** | ** ||0.62|0.53|1.0 |0.59| | s |----|----|----|----|----||----|----|----|----||----|----|----|----| | t | 32 | ** | ** | ** | ** || ** | ** | ** | ** ||0.32|0.35|0.59|1.0 | |======================================================================= | S | 6 |0.40|0.42|0.48|0.44||0.44|0.35|0.45|0.43||0.48|0.26|0.42|0.37| | a |----|----|----|----|----||----|----|----|----||----|----|----|----| | d | 22 |0.50|0.46|0.55|0.42||0.59|0.54|0.58|0.48||0.50|0.40|0.53|0.46| | ne|----|----|----|----|----||----|----|----|----||----|----|----|----| | ss| 27 |0.33|0.38|0.46|0.38||0.42|0.33|0.42|0.46||0.36|0.30|0.38|0.37| |======================================================================= |dis| 11 |0.59|0.51|0.57|0.54||0.53|0.50|0.59|0.51||0.48|0.50|0.53|0.39| |tre|----|----|----|----|----||----|----|----|----||----|----|----|----| |ss | 30 |0.55|0.55|0.58|0.68||0.58|0.47|0.54|0.55||0.43|0.41|0.52|0.48| ======================================================================== ---------**--------------**---------* |Subgroup|| Sadness ||Distress | |--------||--------------||----|----| -------**------------- |Item No.|| 6 | 22 | 27 || 11 | 30 | |Subgroup|| Distress | |--------||----|----|----||----|----| |--------||----------| | S | 6 ||1.0 |0.57|0.49||0.53|0.48| |Item No.|| 11 | 30 | | a |----||----|----|----||----|----| |--------||-----|----| | d | 22 ||0.57|1.0 |0.41||0.52|0.56| |Dis| 11 || 1.0 |0.44| | ne| ---||----|----|----||----|----| |tre|----||-----|----| | ss| 27 ||0.49|0.41|1.0 ||0.35|0.51| |ss | 30 || 0.44|1.0 | ===================================== ====================== -40- Table No. 6: Matrix of correlations of the items of the subgroups fear, anger, disgust, sadness and distress - of the Q-Sort ratings. -----------------------------**-------------------**-------------------* |Subgroup| Fear || Anger || Disgust | |--------|-------------------||-------------------||-------------------| |Item No.| 3 | 14 | 19 | 31 || 4 | 12 | 20 | 28 || 5 | 15 | 21 | 32 | |--------|----|----|----|----||----|----|----|----||----|----|----|----| | F | 3 |1.0 |0.22|0.21|0.23||-.02|0.00|0.14|0.01||-.29|0.11|-.10|0.08| | e |----|----|----|----|----||----|----|----|----||----|----|----|----| | a | 14 |0.22|1.0 |0.17|0.22||0.31|-.01|0.16|-.01||-.14|-.11|-.06|0.00| | r |----|----|----|----|----||----|----|----|----||----|----|----|----| | | 19 |0.21|0.17|1.0 |0.24||0.13|0.10|-.21|0.10||-.09|-.05|-.19|0.09| | |----|----|----|----|----||----|----|----|----||----|----|----|----| | | 31 |0.23|0.22|0.24|1.0 ||0.11|0.11|0.02|-.11||-.02|0.03|0.03|-.04| |========|====|====|====|====||====|====|====|====||====|====|====|====| | A | 4 | ** | ** | ** | ** ||1.0 |0.10|0.24|0.19||-.31|-.10|-.05|-.02| | n |----|----|----|----|----||----|----|----|----||----|----|----|----| | g | 12 | ** | ** | ** | ** ||0.10|1.0 |0.14|0.28||0.28|-.09|0.24|-.03| | e |----|----|----|----|----||----|----|----|----||----|----|----|----| | r | 20 | ** | ** | ** | ** ||0.24|0.14|1.0 |0.18||-.02|-.15|-.20|-.06| | |----|----|----|----|----||----|----|----|----||----|----|----|----| | | 28 | ** | ** | ** | ** ||0.19|0.28|0.18|1.0 ||0.21|-.10|0.17|-.19| |========|====|====|====|====||====|====|====|====||====|====|====|====| | D | 5 | ** | ** | ** | ** || ** | ** | ** | ** ||1.0 |-.02|0.48|0.12| | i |----|----|----|----|----||----|----|----|----||----|----|----|----| | s | 15 | ** | ** | ** | ** || ** | ** | ** | ** ||-.02|1.0 |0.10|0.06| | g |----|----|----|----|----||----|----|----|----||----|----|----|----| | u | 21 | ** | ** | ** | ** || ** | ** | ** | ** ||0.48|0.10|1.0 |0.25| | s |----|----|----|----|----||----|----|----|----||----|----|----|----| | t | 32 | ** | ** | ** | ** || ** | ** | ** | ** ||0.12|0.06|0.25|1.0 | |======================================================================= | S | 6 |-.12|0.13|0.13|0.12||-.08|-.01|-.07|-.10||-.10|-.05|-.04|0.01| | a |----|----|----|----|----||----|----|----|----||----|----|----|----| | d | 22 |0.01|0.18|0.08|0.15||0.09|0.02|-.16|-.08||-.07|0.12|-.14|0.09| | ne|----|----|----|----|----||----|----|----|----||----|----|----|----| | ss| 27 |-.00|0.21|0.08|-.04||0.12|0.13|0.07|0.02||0.00|-.10|-.08|-.15| |======================================================================= |dis| 11 |0.07|-.12|0.20|0.13||0.08|-.05|0.06|0.16||0.01|-.03|0.00|0.05| |tre|----|----|----|----|----||----|----|----|----||----|----|----|----| |ss | 30 |0.11|0.27|0.15|0.12||0.19|0.24|0.15|-.01||-.01|-.06|0.08|-.28| ========================================================================= ---------**--------------**---------* |Subgroup|| Sadness ||Distress | |--------||--------------||----|----| -------**------------- |Item No.|| 6 | 22 | 27 || 11 | 30 | |Subgroup|| Distress | |--------||----|----|----||----|----| |--------||----------| | S | 6 ||1.0 |0.44|0.42||0.37|0.29| |Item No.|| 11 | 30 | | a |----||----|----|----||----|----| |--------||-----|----| | d | 22 ||0.44|1.0 |0.38||0.24|0.28| |Dis| 11 || 1.0 |0.16| | ne| ---||----|----|----||----|----| |tre|----||-----|----| | ss| 27 ||0.42|0.41|1.0 ||0.22|0.07| |ss | 30 || 0.16|1.0 | ===================================== ======================
It seems that item 20 and especially item 4 are mixtures of anger and fear. It is also indicated that item 12 is a mixture of anger and disgust, when disgust is the dominant part and item 20 is a mixture of anger (mainly) and disgust.
The correlations of this item with the artificial mixtures of emotions (1c of materials) of Q-Sort, reveal that only one out of seven mixtures containing disgust is significantly related to this item. Item 21 is in significant correlation with all those seven (and not with the other 17), item 5 is in correlation with six of those seven; item 32 is in a significant (positive) correlation with five of those seven - the three that contain surprise and the two that contain fear.
It can be concluded from the above findings that the content validity of this subgroup is insufficient. The interpretation of the dimensions of the scaling analysis will have to be related on the items 5 and 21 of this subgroup and on item 12 (originally of the anger subgroup).
In conclusion of the test of the validity of the four negative basic emotions:
it seems that the validity of those subgroups is wanting (insufficient).
However, the findings about the relevant 17 items are clear enough, and that
is a sound enough base for the interpretation of dimensions content. It is not
clear yet whether methodological problems of this study or those of Izard and
Ekman & Friesen contributed the largest factor of deviations.
Table No. 7: Matrix of correlation of the subgroups contempt and shame that were included for control and comparison purposes *----------------------------------------**------------------------------* |Procedure| Free grading (task one) || Q-Sort (task three) | -----------------------------------------||-------------------**---------| |Subgroup | Contempt || Shame || Contempt || Shame | |---------|-------------------||---------||-------------------||---------| |Item No. | 7 | 16 | 23 | 33 || 13 | 29 || 7 | 16 | 23 | 33 || 13 | 29 | |---------|----|----|----|----||----|----||----|----|----|----||----|----| | C | 7 |1.0 |0.18|0.20|0.22||0.30|0.26||1.0 |0.17|0.10|0.03||0.20|0.15| | o |-----|----|----|----|----||----|----||----|----|----|----||----|----| | n | 16 |0.18|1.0 |0.27|0.28||0.27|0.39||0.17|1.0 |0.12|0.01||0.11|0.28| | t |-----|----|----|----|----||----|----||----|----|----|----||----|----| | e | 23 |0.20|0.27|1.0 |0.24||0.18|0.24||0.10|0.12|1.0 |0.20||0.15|0.05| | m |-----|----|----|----|----||----|----||----|----|----|----||----|----| | pt| 33 |0.22|0.28|0.24|1.0 ||0.29|0.37||0.03|0.01|0.20|1.0 ||0.12|-.05| |=========|====|====|====|====||====|====||====|====|====|====||====|====| | S | 13 | ** | ** | ** | ** ||1.0 |0.39|| ** | ** | ** | ** ||1.0 |0.37| | ha|-----|----|----|----|----||----|----||----|----|----|----||----|----| | me| 29 | ** | ** | ** | ** ||0.39|1.0 || ** | ** | ** | ** ||0.37|1.0 | *========================================**==============================*In the Q-Sort task: items 7 and 16 (which are photographs of males) are significantly correlated as a cluster and both have their highest correlation with shame items; item 23 and item 33 are photographs of females and represent a cluster of their own.
The significant correlations of item 7 with artificial mixtures (materials 1c) are with one of the three containing contempt (the other emotion of this mixture is anger) and with one item which is supposed to be neutral; item 16 is correlated with two of the three mixtures containing contempt, with three of the seven containing disgust and with three that contain anger; item 23 is correlated with one mixture of contempt, three out of seven of disgust; item 33 is correlated with the two "neutral" items, with one of happiness + sadness and one of happiness + contempt.
It seems that the contempt subgroup has a weak common denominator, that the loadings of the items with it is not high, and that each of them is a mixture with out any obvious content.
The two neutral items 1 and 14 (included for control on Ekman & Friesen (1975) procedure of item creations show that they are not neutral.
Item 1 is correlated to the four happiness items, with one surprise item, with one contempt item, with mixture 9 that includes in it happiness + surprise, with mixture 13 of surprise + questioning and with mixture 22 of happiness + contempt.
Item 14 is positively correlated with both shame items (the higher r=0.43), with one item of contempt, and with one item of interest. It was also positively correlated with mixtures no. 5 and no. 19 - ambiguous content of a slight anger, determination seriousness; and no. 1 - neutral.
Those correlations indicate that Ekman & Friesen's (1975) technique for creating artificial facial expression is not flawless. It seems that it cannot prevent the contribution of the models' mood and chronic facial expressions to the manipulated-artificial facial expression.
The six items that include happiness are also inconsistent. Four are correlated to all four happiness items (the higher is r=0.60), but the other two have too low correlations with the happiness items. Those two are negatively correlated with many items of facial expression of emotion - the higher is r=-0.21 p<0.002 (two tail).
The negative correlations of the above two indicate that the study includes more emotional contents than the intended 9 basic emotions.
The four items that include surprise have 14 correlations with the four surprise items - only one is not significantly positive.
The five items that include disgust are correlated to the two main items of disgust (no. 5 and no. 21). Four of them are correlated with item no. 12 of the anger subgroup which was found to be a mixture of disgust and anger. Only one of the five mixtures is correlated to disgust item no. 23 which is marginal to the disgust basic emotion.
The four items that include sadness are not of the same quality. Two of them are correlated with the four sadness and the two distress items, one of the mixtures is correlated with three sadness items and one of distress mixture no. 24 has only one low correlation with them (r=0.13) which is with one of the distress items.
The three items that include contempt have low correlations with the items of the basic emotion contempt. Only one mixture is correlated to three items of contempt.
The directions of the basic emotions in their multidimensional -scaling space The main hypothesis of the study, dealing with facial expressions of emotion claims that the content of the main dimensions of discrimination among emotions matches the content of the seven basic emotions that comprise the primary list of this study.
The coefficients of alienations of the S.S.A.I analyses
The result of the multidimensional analyses of the 48 items of material:1a
is as follows: for two dimensions - the coefficient of alienation is
0.222; for three dimensions - 0.172; for four - 0.123; for five - 0.103; for
six - 0.082; for seven - 0.075; for eight - 0.061; for nine - 0.058; for ten
dimensions - 0.049.
The size of the second dimension is about 70% of the first dimension; the tenth dimension is about 80% of the ninth and 40% of the first.
The simulation was done as follows: first - each of 48 "items" was assigned a point in multidimensional space using the Random procedure of the Pascal programing language; second - the matrix of distances was computed to the above configuration of points; third - the derived matrix was analyzed by the S.S.A.-I.
Four variables were changed systematically: a) the number of dimensions of the initial configuration of the 48 "items"; b) the relative sizes of the dimensions; c) the size of a random factor added to the distances of the matrix of distances among the "items"; d) the number of dimensions of the S.S.A.-I analysis.
Table No. 8: The coefficients of alienations of the S.S.A.-I analyses of real data and two simulations - with and without added random size to the matrix. ---------------------------------------------------------------------------| |Number of the | coefficients of alienations of the three versions | |dimensions of |----------------------------------------------------------| |the analysis |real data|I. with added random size|II. without added size| |---------------|----------------------------------------------------------| | 2 | 0.222 | 0.227 | 0.21 | | 3 | 0.172 | 0.16 | 0.11 | | 4 | 0.123 | 0.12 | 0.082 | | 5 | 0.103 | 0.09 | 0.041 | | 6 | 0.082 | 0.078 | | | 7 | 0.075 | 0.057 | | | 8 | 0.061 | | | | 9 | 0.058 | | | | 10 | 0.049 | 0.047 | 0.01 | ===========================================================================|It can be concluded that the relation between the change in coefficient of alienation and the value of added dimensions is not linear. It is clear that the coefficient of alienation is not a reliable measure in the determination of the number of dimensions of the studied domain or their relative weight.
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