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exp_num species y1 y2 y3 y4 1 1 189 245 137 163 2 1 192 260 132 217 3 1 217 276 141 192 4 1 221 299 142 213 5 1 171 239 128 158 6 1 192 262 147 173 7 1 213 278 136 201 8 1 192 255 128 185 9 1 170 244 128 192 10 1 201 276 146 186 11 1 195 242 128 192 12 1 205 263 147 192 13 1 180 252 121 167 14 1 192 283 138 183 15 1 200 294 138 188 16 1 192 277 150 177 17 1 200 287 136 173 18 1 181 255 146 183 19 1 192 287 141 198 1 2 181 305 184 209 2 2 158 237 133 188 3 2 184 300 166 231 4 2 171 273 162 213 5 2 181 297 163 224 6 2 181 308 160 223 7 2 177 301 166 221 8 2 198 308 141 197 9 2 180 286 146 214 10 2 177 299 171 192 11 2 176 317 166 213 12 2 192 312 166 209 13 2 176 285 141 200 14 2 169 287 162 214 15 2 164 265 147 192 16 2 181 308 157 204 17 2 192 276 154 209 18 2 181 278 149 235 19 2 175 271 140 192 20 2 197 303 170 205

Problem 2: Rencher 5.16 Four measurements were made on two species of flea beetles (Lubischew, 1962). The variables were: h-distance of transverse groove from posterior border of prothorax (m) length of elytra (in 0.01mm) s-length of second antennal joint (n) H4 = length of third antennal joint (Ann) The data are given in the following Table 5.5. a) Test Ho- = using T2 b)f the T2-test in part (a) rejects Ho, carry out a t-test on each variable. c) Calculate the discriminant finction coefficient vector a-: sei (yi-y2). Table 5.5. Four Measurements on Two Species of Flea Beetles Haltica oleracea Haltica carduorum Experiment Number Experiment Number 189 245 137 163 192 260 132 217 217 276 14 192 22 299 142 213 171 239 128 158 192 262 47 73 213 278 136 201 192 255 128 185 170 244 128 192 20 276 146 186 195 242 128 192 205 263 47 192 180 252 12 167 192 283 138 183 200 294 138 188 192 277 150 177 200 287 136 173 181 255 146 183 192 287 141 198 181 305 184 209 158 237 133 188 184 300 166 231 171 273 162 213 181 297 163 224 181 308 160 223 177 301 166 221 198 308 14 197 180 286 146 214 177 299 17 192 176 317 166 213 192 312 166 209 176 285 14 200 169 287 162 214 164 265 147 192 181 308 157 204 192 276 154 209 181 278 149 235 175 271 140 192 197 303 170 205 10 12 13 12 13 15 16 16 18 20 18 Problem 2: Rencher 5.16 Four measurements were made on two species of flea beetles (Lubischew, 1962). The variables were: h-distance of transverse groove from posterior border of prothorax (m) length of elytra (in 0.01mm) s-length of second antennal joint (n) H4 = length of third antennal joint (Ann) The data are given in the following Table 5.5. a) Test Ho- = using T2 b)f the T2-test in part (a) rejects Ho, carry out a t-test on each variable. c) Calculate the discriminant finction coefficient vector a-: sei (yi-y2). Table 5.5. Four Measurements on Two Species of Flea Beetles Haltica oleracea Haltica carduorum Experiment Number Experiment Number 189 245 137 163 192 260 132 217 217 276 14 192 22 299 142 213 171 239 128 158 192 262 47 73 213 278 136 201 192 255 128 185 170 244 128 192 20 276 146 186 195 242 128 192 205 263 47 192 180 252 12 167 192 283 138 183 200 294 138 188 192 277 150 177 200 287 136 173 181 255 146 183 192 287 141 198 181 305 184 209 158 237 133 188 184 300 166 231 171 273 162 213 181 297 163 224 181 308 160 223 177 301 166 221 198 308 14 197 180 286 146 214 177 299 17 192 176 317 166 213 192 312 166 209 176 285 14 200 169 287 162 214 164 265 147 192 181 308 157 204 192 276 154 209 181 278 149 235 175 271 140 192 197 303 170 205 10 12 13 12 13 15 16 16 18 20 18