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Study on mental impairment in relation to life events and socioeconomic status in Alachua County, Florida. Dataset includes randomly assigned ID numbers, mental impairment levels, life events severity, and SES binary measurement. The main effects model reveals how mental impairment relates to life events and SES using a proportional odds model. Significant findings include cumulative probability changes based on life events and SES levels, with specific effects quantified for each variable.
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Mental Health Study ExampleAlachua County, Florida Purpose: Relate mental impairment to two explanatory variables, the severity of life and socioeconomic status
The Dataset Subject: a randomly assigned id number (1, 2, 3,…) Mental impairment: ordinal response with categories well, mild symptom formation, moderate symptom formation, and impaired Life events: a composite measure of the number and severity of important life events such as birth of a child, new job, divorce in the family that occurred to the subject within the past three years (0, 1,…,9) Socioeconomic status (SES): measured here as binary (1 = high and 2 = low)
The Main Effects Model Proportional odds model J = 4 response categories (well, mild, moderate, impaired) x1 = life events (0,1,2,…,9) x2 = SES (1 = low, 2 = high)
What does this mean? and The cumulative probability of starting at the well end of the scale decreases (b1) as the life events score increases and also increases at the higher level of SES (b2).
SES Effect for x1 = 4.275, the mean life events score THIS WILL BE P(Y < 2) FORMULA
Life Events Effect for x2 = 1, high SES for x2 = 0, low SES