An untrained stimulus-stimulus relation that emerges as a product of training two other stimulus-stimulus relations.  

In Applied Behavior Analysis (ABA), transitivity is one of the key principles of stimulus equivalence. It refers to the ability to derive a relationship between two stimuli that have not been directly trained together.  

Here’s how it works:

  • Training: If a person learns that Stimulus A is equivalent to Stimulus B, and that Stimulus B is equivalent to Stimulus C,  
  • Transitivity: They can then infer that Stimulus A is equivalent to Stimulus C, even though that specific relationship was never directly taught.  

Examples:

  • Example 1:
    • Training: A child learns to match the spoken word “cat” (Stimulus A) to a picture of a cat (Stimulus B). They also learn to match the picture of a cat (Stimulus B) to the written word “cat” (Stimulus C).
    • Transitivity: The child can then match the spoken word “cat” (Stimulus A) to the written word “cat” (Stimulus C) without direct training on that specific pairing.  
  • Example 2:
    • Training: A student learns to match the color red (Stimulus A) to the word “red” (Stimulus B). They also learn to match the word “red” (Stimulus B) to a red square (Stimulus C).
    • Transitivity: The student can then match the color red (Stimulus A) to the red square (Stimulus C) without direct training on that specific pairing.

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