# mental.doc.txt # # # The following data set represents a cross-classification of 1660 individuals. The rows represent the current mental status of the individuals, while the columns (A-F) reflect the socioeconomic status of their parents. ("Mild" and "Moderate" refer to severity of symptoms.) ----------+----------------------------------- Mental | Health | Parents Socioeconomic status Status | A B C D E F ----------+----------------------------------- Well | 64 57 57 72 36 21 Mild | 94 94 105 141 97 71 Moderate | 58 54 65 77 54 54 Impaired | 46 40 60 94 78 71 ----------+----------------------------------- Source: JASA (1997), p. 210. Stata output from five models is included in an appendix [Appendix 2]. 1. Give the usual names for Models [1] through [5]: [1] _________________________ [2] _________________________ [3] _________________________ [4] _________________________ [5] _________________________ 2. Draw a diagram showing the nesting relationships between models [1] through [5]. Start with the saturated model at the top of your diagram. If model X is nested within model Z, draw X at a lower level than Z and draw a line connecting X to Z. 3. The table of observed, fitted, and residual values is omitted after Model [5]. Why? 4. The table of residuals after Model [1] indicates that the model does not fit the data well. How? 5. Suppose you were to calculate the chi-squared test of independence on the data in the table above. Without actually performing any calculations, what would you expect that test to show? Why? 6. Of interest is the extent to which parental SES can predict future mental health problems in their children. How would you address this question using the results of the appendix? 7. In Model [4], interpret the coefficient of "ms" (0.091). 8. In Model [2], how would you interpret the coefficients associated with as2 through as4?