(a) The ratio niki. is an approximation of what probability? (b) The ratio nex. . is an approximation of what probability? (c) Use the x'-distance measure to construct the 4 x 4 column-similarity matrix D". (d) Construct the dendogram using single-linkage on D". What two clusters do you get? (e) Construct the dendogram using complete-linkage on D". What two clusters do you get? (f) Do you think Austen's fan succeeded imitating her style?Recall that the x--distance to compare rows i and j in a J X K contingency table with entries (nij) is defined as K di (nik; . - njkj. )2 K=1 nok/ n.. To compare columns just use the transpose of the contingency table. The Jane Austen contingency table used in class is word SS E SI SII a 147 186 101 83 an 25 26 11 29 this 32 39 15 15 that 94 105 37 22 with 59 74 28 43 without 18 10 10 4