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Also, when the same subject receives different treatments, as occurs ina crossover study, responses will be correlated because the same person ismore likely to respond to different circumstances in a similar way than dif-ferent individuals receiving different treatments. And the responses of dif-ferent body parts of the same person (e.g., the right and left eye of Mr. A)will be correlated because the body parts of the same person are more likelyto respond similarly than body parts belonging to different persons (e.g.,the right eye of Mr. A and the left eye of Mr. B).Another instance that leads to correlated observations is when subjectsare enrolled from established groups or clusters (e.g., families, clinic practices,hospitals,cities)asoccursinrandomizedandnonrandomizedclusterstudies.Inthiscase,subjectsrecruitedfromthesamegrouparemorelikelytorespondinsimilarways than subjects from different groups, leading tocorrelated outcomes.commoncircumstanceleadingtocorrelatedobservationsislongitudinalstudies,wheresubjectsareobservedrepeatedly(e.g.,baselineandeverysixmonthsthereafter).Becauseitisthesamesubjectbeingobservedmultipletimes,theresponsesarecorrelated(i.e.,thesamesubjectismorelikelytohaveasimilarresponseeachtimeheorsheisobservedthanadifferentsubjectwould)
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