Does anyone have a suggestion of the kind of stimuli I could use for a categorization experiment that needs a range of clearly defined and a range of ambiguous stimuli?

I need to produce both a range of single stimuli, and a way to combine multiple stimuli in a set which shares this characteristic of having both clearly defined ranges and an ambiguous one.

Some Context on the General Goal

I am currently conducting an experiment where I want my participants to learn two different schemata aiming to test whether people will implicitly assume details from the whole scene based on what schema better accommodates the given stimuli. For that reason, I need some ambiguity to be solved through contextual cues, so I can check whether the same stimuli might be interpreted in different schemata and compare whether or not different participant groups assume different implicit information based on that. So each schema will be composed of a character, an action (a verb, executed by the character), a simple noun for an object and a collective noun for a set of objects, which will be part of the action.

What I am looking for is a possible kind of stimuli that might either fall clearly into one of two categories or be ambiguous and hard to categorize into one of the categories. I need to be able to combine them into sets of 3 where I might make the set: (a) clearly belonging to a collective category, by combining all the 3 stimuli from items also clearly from that category, (b) completely ambiguous, by having all the 3 stimuli ambiguous, and (c) intermediate degrees, by combining 1 ambiguous + 2 unambiguous; 2 ambiguous + 1 unambiguous for both sides.

What I've Tried So Far

I'll show you with an example of what I have tried so far. I have two categories, 'namu' and 'bonho' (both 2-sylleble pseudo-words of Portuguese): Example of stimuli for the categories 'namu' and 'bonho'

As you can see, those stimuli vary in angle. Every line with an angle between 1 and 59 degrees is certainly a namu, and every line with an angle between 121 and 179 degrees is certainly a bonho. But between 60 and 120 degrees we have the ambiguous zone and the stimuli might be both namu and bonho (chosen at random).

What I have in mind here is a kind of "semistructured" categorization: something that combines both deterministic/structured and probabilistic/unstructured categorization.

Furthermore, as like I said, I need to be capable of combining multiple stimuli to form sets made of stimuli of the first categories, like this: The namel and bonhal sets As you can see, the idea is that a 'namel' is a set of 'namus', and a 'bonhal' is a set of 'bonhos'. Both sets have 3 of its basic constituents. To be categorized a namel, every constitnuent of the set must be a namu, and to be a bonhal every constituent is required to be a bonho. But when all the constituents are ambiguous the whole set is ambiguous.

I have made a single test with the 1-stimulus form (namu vs bonho), but it does not meet my goals so I never tried the combined 3-stimuli form.

Problems with those stimuli

The problem with the mentioned strategy is that both my niblings, which tested the task for me, and even myself when testing it, followed the strategy of answering according to the highest side: if the highest side was the left side we answered 'namu', for instance, even though there were some errors this rule of thumb worked most of the times with random stimuli uniformly distributed between 1 and 179 degrees. I thought about changing the distribution to a normal one with mean in 120 degrees and a standard deviation of 40, so the majority of the stimuli would be ambiguous, but then too few would be clear and it doesn't seem like it's going to work.

Does anyone have a suggestion of the kind of stimuli I could use for this purpose? As far as I researched, I have found nothing in the literature about this kind of situation. I have found about both unstructured and structured (rule-based) categorization tasks, but nothing about a mixed range. But a reference of this kind would also be a good answer to my question.

  • $\begingroup$ I'm not sure I follow the problem exactly. It isn't that the stimulus categories fail to be ambiguous, but that for the ambiguous ones it is still best for an observer to answer according to their nearest category. The ambiguity would possibly be represented in a certainty measure rather than the choice probability. I cannot imagine any one-dimensional stimulus set where this would not occur. $\endgroup$
    – Bryan Krause
    Dec 30 '20 at 17:25
  • $\begingroup$ @BryanKrause first, thanks for commenting. Well, I'm open to the use of 2-dimensions stimuli that could be combined in sets, I've been thinking about exploring the line width as second dimension for the last minutes, but I'm still figuring out how. On the ambiguity: I've shown to some relatives the task and asked one of them about and they told me they did not perceive an ambiguous range, but their answers might not be completely reliable because I'm talking about a 13 years old teenager who might not fully understand the concept of ambiguity. I think you might be totally right about that! $\endgroup$
    – Bruno
    Dec 30 '20 at 18:04
  • $\begingroup$ I think it would be more helpful to know what your overall goal is in the spirit of meta.stackexchange.com/questions/66377/what-is-the-xy-problem You can more easily build ambiguity with a 2nd dimension, especially with a contingency, though you will probably still not make that ambiguity very salient unless you task emphasizes it. A simple way to emphasize ambiguity might be to have participants 'bet' on their guesses. Maybe a confident correct guess gains 3 points but also loses 3 if incorrect, whereas an unsure guess is +1/-1. $\endgroup$
    – Bryan Krause
    Dec 30 '20 at 18:18
  • $\begingroup$ @BryanKrause thanks for your feedback, the link was very useful. I'll try to improve the text yet, I think my question might still be too strictly related to Y yet, but I believe I was able to add a more reasonable amount of information now (in a new section of the text, if you are willing to take a look). I will try to combine this 'bet' component on my task, it seems like a quite interesting idea! $\endgroup$
    – Bruno
    Dec 30 '20 at 23:05
  • $\begingroup$ I don't have quite the time to completely immerse myself in your question, and can't think of anything that quite fits the requirements, but I wonder if you'd find some use or inspiration in the stimuli used in the Wisconsin Card Sorting test. Best of luck to you! $\endgroup$
    – Bryan Krause
    Dec 30 '20 at 23:44

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