2.5. For two conditional distributions, the plot of lines that connects successively the points {(0, 0), (Fm, Fm), (F2|i, F2\i), (F3ll, F3\2), -, (1.0, 1.0)}

is called a cumulative sum diagram (CSD). See Grove (1980).

(a) Show that a straight line for the CSD corresponds to independence.

(b) Show that a convex CSD corresponds to the condition that all local log odds ratios for the two rows are nonnegative.

(c) Draw and interpret the sample CSD for the data in Table 2.2.