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(a) consider a medical study where participants were asked to complete a survey about their health status. If some participants did not complete the survey because they forgot or lost the survey, the missing data is (b) consider a survey about income where participants are asked to report their income, education level, and age. If some younger participants did not report their income, the missing data is (c) consider a clinical trial, where participants are asked to complete a questionnaire about their pain level. Participants who experience higher levels of pain skip or refuse to answer questions related to their pain, the missing data is

Question

(a) consider a medical study where participants were asked to complete a survey about their health status. If some participants did not complete the survey because they forgot or lost the survey, the missing data is (b) consider a survey about income where participants are asked to report their income, education level, and age. If some younger participants did not report their income, the missing data is (c) consider a clinical trial, where participants are asked to complete a questionnaire about their pain level. Participants who experience higher levels of pain skip or refuse to answer questions related to their pain, the missing data is

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Solution

(a) The missing data in this case is considered Missing Completely at Random (MCAR). This is because the missingness of the data (the survey responses) is not related to any observed or unobserved variables. The participants simply forgot or lost the survey, which is unrelated to their health status.

(b) The missing data in this case is considered Missing at Random (MAR). This is because the missingness of the data (income) is related to an observed variable (age), but not the missing data itself. Younger participants are less likely to report their income, but this is not related to the actual income values that are missing.

(c) The missing data in this case is considered Not Missing at Random (NMAR). This is because the missingness of the data (pain level responses) is related to the unobserved data itself. Participants who experience higher levels of pain are more likely to skip or refuse to answer questions related to their pain, which means the missingness is related to the actual values that are missing.

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