The Chinese Mini Mental Status Test (CMMS) is a 114-item test that aims to identify people with Alzheimer's and senile dementia in China. CMMS score No Dementia Dementia 0-5 0 2 6-10 0 1 11-15 3 4 16-20 9 5 21-25 16 3 26-30 18 1 Total 46 16 Suppose that a cutoff point in the test is established to identify the test with Dementia. Determine: a) the sensitivity of the test b) the specificity of the test Suppose possible cutoff points are considered () c) Construct the corresponding ROC Curve. d) Estimate and interpret the corresponding AUC
Added by Wendy E.
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From the table, we have: Total with dementia: 2 + 1 + 4 + 5 + 3 + 1 = 16 Total without dementia: 46 a) Sensitivity: Sensitivity is the proportion of true positive cases among the people with dementia. Let's consider a cohort point of 20. If the score is less Show more…
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The Chinese Mini-Mental Status Test (CMMS) consists of 114 items intended to identify people with Alzheimer's disease and senile dementia among people in China [14] An extensive clinical evaluation of this instrument was performed, whereby participants were interviewed by psychiatrists and nurses and a definitive diagnosis of dementia was made. Table 3.13 shows the results obtained for the subgroup of people with at least some formal education. Suppose a cutoff value of $\leq 20$ on the test is used to identify people with dementia.What is the sensitivity of the test?
III- In a study of the effects of early Alzheimer’s disease on nondeclarative memory, Reber et al. (A-2) used the Category Fluency Test to establish baseline persistence and semantic memory and language abilities. The eight subjects in the sample had Category Fluency Test scores of 11, 10, 16, 13, 21, 30, 19, 15, 25, 11. Assume that the eight subjects constitute a simple random sample from a normally distributed population of similar subjects with early Alzheimer’s disease. (d) Construct a 95 percent confidence interval for the population mean category fluency test score. (e) What is the precision of the estimate? (f) State the probabilistic interpretation of the confidence interval you constructed. (g) State the practical interpretation of the confidence interval you constructed.
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