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Supplement to

"Associative and Categorical Relations

in the Associative Memory Illusion"

 

Lillian Park

University of California, Berkeley

Katharine K. Shobe

Yale University

 

John F. Kihlstrom

University of California, Berkeley

 

 

Secondary Analysis of

the University of South Florida Free Association Norms

 

Abstract of Published Paper

(Psychological Science, 2006)

What kinds of associations underlie the associative memory illusion? In Experiment 1, lists composed of "horizontal" or "coordinate" free associates elicited false recognition of critical lures much more often than did lists composed of "vertical" or "subordinate" category instances. Experiment 2 replicated this result, and showed that the difference between free associates and category instances was not an artifact of differential levels of forward or backward associative strength. Associative structure plays an important role in the associative memory illusion: the illusion is strongest when the critical lure lies at the same level of categorization as the studied items.

 

In this section of the supplement, we provide further information concerning the secondary analysis of the University of South Florida Free Association Norms, described in the introduction to Experiment 2, beginning with material (in italics) extracted from the (unedited) paper.

The findings of Experiment 1 were consistent with the hypothesis that the AMI is mediated by horizontal (coordinate) associations rather than vertical (subordinate) ones. Given the important role of backward associations in producing the AMI (Roediger, Watson et al., 2001), however, it is possible that the effect revealed by this experiment is an artifact of differences in the backward association values of horizontal/coordinate and vertical/subordinate links. That is to say, the backward associative strengths between horizontal associates such as thread, pin, and eye, and the critical lure needle, may simply be higher than the corresponding strengths between vertical associates such as apple, orange, and kiwi, and the critical lure fruit. If so, then the allegedly qualitative difference between types of associative links, horizontal/coordinate and vertical/subordinate, dissolves into a merely quantitative difference in backward associative strength.

A secondary analysis of the University of South Florida (USF) Free Association Norms (Nelson, McEvoy, & Schrieber, 1998) made this possibility appear remote. Two of the authors classified all the responses to the 12 critical targets employed in this experiment as either horizontal/coordinate word associations or vertical/subordinate category instances (93.6% agreement, with disagreements resolved through discussion and arm-twisting). When we compared the two types of responses for each of the 12 lists, taken separately, we found that in only one case (the insect list) was there a significant difference between them (independent-groups t tests, p < .05). Even this difference was anomalous, as it was based on a comparison of only 3 horizontal/coordinate associates against 20 vertical/subordinate associates. When the 12 lists were combined, there was no overall difference in backward, mediated, or overlapping strength between associates and instances, all t < 1.

Unfortunately, the classic free-association  and category-instance norms (Battig & Montague, 1969; Russell & Jenkins, 1954) do not provide information about backwards associative strength.  Moreover, the information about forward associative strength is based on quite different instructions.  The USF norms used a single set of instructions, for free associations, and provide information about backward as well as forward associative strength, not to mention other comparative measures. Fortunately, the free-association instructions elicited a fair number of category instances -- although, admittedly, the resulting instances are probably unrepresentative of what is generated by category-instance instructions.  Still, we did the best we could with what was available.  Even if some of our category instances are a little unusual, they still permit a test of the hypothesis that the difference in AMI elicited by associates and by instances is an artifact of listwise differences in backwards associative strength.

 

The USF Norms

The USF norms list provide information on a number of different properties of free associations:

Forward Strength: The probability that a free-association cue, such as needle, will elicit a particular target, such as thread, as the first response
Backward Strength: The reciprocal probability that a particular free-association response, such as thread, when presented as a cue, will elicit its corresponding cue, needle, as the first  response.
Mediated Strength: The probability that a particular free-association cue will produce a particular target as the second response in a chain of free associations.
Overlapping Associate Strength: Essentially the sum of mediated strengths between two cues and targets that have several associates in common.
Cue Set Size: The number of different words given as responses by two or more people.
Cue Frequency: The frequency value of each word, in the Kucera & Francis (1967) norms.
Cue Connectivity: The mean connectivity among the associates to a cues.  

 

Animal List

For the animal list, we found 59 horizontal associates (e.g., zoo) and 97 vertical instances (e.g., aardvark).  The following table compares associates and instances on the major variables in the USF norms.

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .06102 .1068 .07691 .007545 1.087 .279
Backward Strength .0009322 .003090 .004082 .02990 0.806 .422
Mediated Strength .01498 .02058 .020101 .01924 1.570 .119
Overlapping Strength .01183 .002852 .009140 .02659 0.596 .552
Cue Set Size 15.9492 5.0971 14.4845 5.2403 1.710 .089
Cue Frequency 49.9831 123.4479 11.4021 33.9278 2.908 .004
Cue Connectivity 1.6114 0.5532 1.4877 0.5050 1.430 .115

 

Black List

For the black list, we found 122 horizontal associates (e.g., white) and 7 vertical instances (e.g., coal, as in coal black).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .04664 .08449 .09000 .1002 1.301 .196
Backward Strength .006320 .05147 .00000 .00000 0.324 .747
Mediated Strength .01026 .023555 .01214 .009512 0.210 .834
Overlapping Strength .003647 .01172 .005771 .008752 0.471 .638
Cue Set Size 15.9344 4.5722 15.1429 3.2367 0.451 .653
Cue Frequency 38.8689 71.0322 37.2857 48.8523 0.058 .954
Cue Connectivity 1.6107 .6862 1.5114 .3877 0.378 .706

 

Bread List

For the bread list, we found 33 horizontal associates (e.g., loaf) and 17 vertical instances (e.g., rye).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .1148 .1390 .1329 .1865 0.387 .700
Backward Strength .02000 .08502 .003412 .009689 0.798 .429
Mediated Strength ..02730 .05677 .02382 .03204 0.234 .816
Overlapping Strength .01950 .07279 .01082 .01385 0.485 .630
Cue Set Size 13.7273 4.4600 14.7647 5.2978 0.731 .469
Cue Frequency 16.000 26.1331 20.7647 36.4615 0.532 .597
Cue Connectivity 1.5573 .6259 1.4471 .5817 0.604 .549

 

Cold List

For the cold list, we found 126 horizontal associates (e.g., hot) and 12 vertical instances (e.g., chill).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .08230 .1290 .2375 .2717 3.5222 .001*
Backward Strength .005571 .03745 .01000 .02843 0.398 .691
Mediated Strength .04629 .06810 .02550 .02604 1.047 .297
Overlapping Strength .01366 .03204 .004725 .005594 0.962 .338
Cue Set Size 14.2460 4.5968 14.5833 6.6941 0.233 .816
Cue Frequency 31.4048 53.7613 50.2500 64.2016 1.141 .256
Cue Connectivity 1.7752 .7327 1.3567 .8391 1.868 .064

*Note that the difference actually favors instances over associates.

 

Flower List

For the flower list, we found 33 horizontal associates (e.g., petals) and 11 vertical instances (e.g., tulip).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .09939 .1915 .3282 .3478 2.758 .009*
Backward Strength .008606 .01971 .006636 .01839 0.292 .772
Mediated Strength .01218 .02047 .01709 .01919 0.699 .488
Overlapping Strength .004845 .007470 .005873 .006229 0.410 .684
Cue Set Size 15.8485 6.9107 11.3636 3.4430 2.057 .046
Cue Frequency 238.3939 1103.7296 2.5455 3.0451 0.703 .486
Cue Connectivity 1.5385 .5813 1.5309 .4442 0.039 .969

*Note that the difference actually favors instances over associates.

 

Fruit List

For the fruit list, we found 26 horizontal associates (e.g., vegetable) and 26 vertical instances (e.g., kiwi).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .05346 .06248 .1696 .1570 3.506 .001*
Backward Strength .005231 .01687 .01777 .05514 1.109 .273
Mediated Strength .02342 .04131 .03815 .03147 1.446 .154
Overlapping Strength .01996 .03698 .01482 .02754 0.561 .577
Cue Set Size 16.3846 4.5085 12.8077 4.1571 2.974 .005
Cue Frequency 32.1154 43.9302 11.9615 23.8134 2.057 .450
Cue Connectivity 1.7658 0.6298 1.7450 .6016 0.122 .904

*Note that the difference actually favors instances over associates.

 

Furniture List

For the furniture list, we found 11 horizontal associates (e.g., rearrange) and 6 vertical instances (e.g., patio, as in patio furniture).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .02091 .01578 .07333 .09092 1.911 .750
Backward Strength .002455 .008141 .00000 .00000 0.728 .478
Mediated Strength .0006364 ..009244 .001667 .004082 1.170 .260
Overlapping Strength .004582 .008557 .04115 .03403 3.455 .004*
Cue Set Size 18.2727 5.3683 13.8333 2.9269 1.862 .082
Cue Frequency 66.4545 116.1244 10.0000 20.6204 1.164 .263
Cue Connectivity 1.5591 .6919 1.8817 .5907 0.963 .351

*Note that the difference actually favors instances over associates.

 

Insect List

For the insect list, we found 3 horizontal associates (e.g., bug) and 20 vertical instances (e.g., cricket).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .09667 .09609 .06650 .05334 0.829 .416
Backward Strength .1680 .2772 .01415 .03069 2.749 .012*
Mediated Strength .06000 .02052 .04360 .03041 0.895 .381
Overlapping Strength .07007 .06864 .08673 .07421 0.365 .719
Cue Set Size 13.3333 3.7859 13.0500 4.6052 0.101 .921
Cue Frequency 3.0000 1.7321 4.5000 7.3234 .347 .732
Cue Connectivity 2.0300 .6994 1.5060 .5297 1.5444 .5240

*This is the only difference in backward strength that favors associates over instances; note that it is based on data from only three horizontal associates.

 

Needle List

For the needle list, we found 28 horizontal associates (e.g., thread) and 4 vertical instances (e.g., syringe).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .1064 .1648 .1750 .2353 0.741 .464
Backward Strength .03393 .09523 .0000 .0000 0.703 .488
Mediated Strength .02700 .04417 .01025 .007932 0.746 .461
Overlapping Strength .02006 .03621 .03100 .03716 0.923 .363
Cue Set Size 14.7143 5.4014 13.7500 2.9861 0.346 .732
Cue Frequency 35.8214 78.8863 3.7500 6.1847 0.801 .429
Cue Connectivity 1.7082 .6703 1.6550 .7862 0.146 .885

 

Slow List

For the slow list, we found 39 horizontal associates (e.g., fast) and 10 vertical instances (e.g., molasses, as in slow as molasses).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .06462 .1150 0.08800 .1456 0.543 .590
Backward Strength .01718 .006325 .00200 .006325 0.555 .582
Mediated Strength .05667 .1026 .002700 .002669 1.649 .106
Overlapping Strength .04191 .08331 .002470 .002920 1.485 .144
Cue Set Size 14.9744 6.6638 14.5000 4.4284 0.246 .807
Cue Frequency 84.8974 254.3064 87.6000 244.0998 0.030 .976
Cue Connectivity 1.4869 .5794 1.3480 .5930 0.673 .504

 

Sweet List

For the sweet list, we found 64 horizontal associates (e.g., bitter) and 15 vertical instances (e.g., honey, as in sweet as honey).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .04031 .06829 .1293 .1616 3.353 .001
Backward Strength .01036 .05154 .008133 .01854 0.164 .870
Mediated Strength .02334 .03289 .04273 .04063 1.963 .053
Overlapping Strength .01014 .01847 .01854 .02817 1.424 .158
Cue Set Size 14.9531 4.2255 14.0667 3.9364 0.740 .461
Cue Frequency 31.1094 79.5283 13.3333 17.6176 0.857 .394
Cue Connectivity 1.9345 0.6440 1.9680 0.7623 0.175 .862

 

Tool List

For the tool list, we found 6 horizontal associates (e.g., device) and 26 vertical instances (e.g., pliers).  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .07167 .06765 .05857 .1079 0.284 .779
Backward Strength .003500 .008573 .02032 .07620 0.534 .597
Mediated Strength .002833 .002787 .005821 .009557 0.751 .458
Overlapping Strength .01028 .02180 .01306 .02717 0.234 .816
Cue Set Size 14.3333 3.1211 14.0000 4.0734 0.188 .852
Cue Frequency 20.83333 23.5832 23.1071 67.9936 0.080 .937
Cue Connectivity 1.8717 1.3555 1.4107 .6637 1.262 .216

 

Aggregate List

For the aggregate list, formed by combining all 12 lists, there were 550 horizontal free associates and 252 vertical category instances.  

Variable

Associates

Instances

t

p =
  M SD M SD
Forward Strength .06755 .1160 .1113 .1544 4.449 .000*
Backward Strength .009896 .05566 .008312 .03813 0.410 .682
Mediated Strength .02644 .05226 .02242 .02600 1.162 .246
Overlapping Strength .01335 .03797 .01692 .03714 1.246 .213
Cue Set Size 15.2036 4.9248 14.0000 4.7501 3.253 .001
Cue Frequency 50.9964 287.6857 17.9842 61.4559 1.806 0.71
Cue Connectivity 1.6862 .6759 1.5356 .5908 3.049 .002

*Note that the difference in forward associative strength actually favors instances over associates.  The important point, however, is that there are no significant differences in forward, backward, mediated, or overlapping associative strength favoring associates over instances.

 

Materials Employed in Experiment 2

Again, quoting from the paper:

For this experiment, we selected the three critical targets from Experiment 1 (animal, flower, and fruit) for which the responses in the USF norms contained substantial numbers of both coordinate (e.g., zoo, petals, vegetable) and subordinate (e.g., raccoon, tulip, banana) associations. We then created new lists of coordinate and subordinate associates to these three targets that were precisely matched (all t < 1) in terms of both forward and backward associative strength. The animal and fruit lists were each 15 items long; due to limitations in the USF norms, the flower list was only 11 items long. The experimental protocol was filled out with three lists (anger, cold, and music) from the standard lists employed by Roediger & McDermott (Roediger & McDermott, 1995).

Here are the three matched lists of associates and categories used in the experiment:

"Animal" List

Associates Instances
zoo aardvark
farm raccoon
cage mongoose
vet antelope
creature beaver
party gazelle
fur possum
barn otter
safari moose
wild anteater
kingdom walrus
breed buffalo
circus ox
herd wolf
person lion

Forward Strength:

Associates, M = .1780 (SD = .1647)

Instances, M = .1927 (SD = .05982)

t(28) = 0.324, p = .748

Backward Strength:

Associates, M = .002200 (SD = .004554)

Instances, M = .001467 (SD = .005680)

t(28) = 0.390, p = .699

"Flower" List

Associates Instances
petals tulip
vase orchid
bloom daisy
blossom dandelion
seed lily
meadow weed
bunch violet
pistil cactus
petal broccoli
spring clove
basket sage

Forward Strength:

Associates, M = .2618 (SD = .2714)

Instances, M = .3282 (SD = .3478)

t(20) = 0.499, p = .623

Backward Strength:

Associates, M = .01427 (SD = .02386)

Instances, M = .006636 (SD = .01839)

t(20) = 0.841, p = .410

 

"Fruit" List

Associates Instances
vegetable banana
produce blackberry
basket peach
orange juice forbidden
orchard tangerine
mixed fig
yogurt tomato
punch raisin
tangy lemon
fresh passion
juice date
market blueberry
peel lime
bowl beet
cobbler zucchini

Forward Strength:

Associates, M = .08200 (SD = .06992)

Instances, M = .08200 (SD = .07272)

t(28) = 0.000, p = 1.000

Backward Strength:

Associates, M = .009067 (SD = .02171)

Instances, M = .004333 (SD = .01678)

t(28) = 0.668, p = .510

 

References

Battig, W. F., & Montague, W. E. (1969). Category norms for verbal items in 56 categories: A replication and extension of the Connecticut category norms. Journal of Experimental Psychology Monograph, 80, Issue 3, Part 2.

Nelson, D. L., McEvoy, C. L., & Schrieber, T. A. (1998). The University of South Florida word association, rhyme, and word fragment norms. Available: http://www.usf.edu/FreeAssociation/.

Russell, W. A., & Jenkins, J. J. (1954). The complete Minnesota norms for responses to 100 words from the Kent-Rosanoff Word Association Test (Technical Report #11, Contract #N8 ONR 66216, Office of Naval Research). Minneapolis, Mn.: University of Minnesota.

 

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