Seeking answer to 6.28 (a)

6.28 Table 6.18, from Keuls, Martakis, and Magid (1984), gives data from a two- way (fixed-effects) MANOVA on snap beans showing the results of four vari- Table 6.18. Snapbean Data V V2 V3 V4 S V V2 y3 V4 59.3 4.5 38.4 295 3 1 68.1 3.4 42.2 280 60.3 4.5 38.6 302 68.0 2.9 42.4 284 60.9 5.3 37.2 318 68.5 3.3 41.5 286 60.6 5.8 38.1 345 68.6 3.1 41.9 284 60.4 6.0 38.8 325 5 68.6 3.3 42.1 268 1 2 59.3 6.7 37.9 275 3 2 1 64.0 3.6 40.9 233 59.4 4.8 36.6 290 2 63.4 3.9 41.4 248 60.0 5.1 38.7 295 3 63.5 3.7 41.6 244 58.9 5.8 37.5 296 4 63.4 3.7 41.4 266 59.5 4.8 37.0 330 5 63.5 4.1 41.1 244 1 3 59.4 5.1 38.7 299 3 3 68.0 3.7 42.3 293 60.2 5.3 37.0 315 WN - 68.7 3.5 41.6 284 60.7 6.4 37.4 304 68.7 3.8 40.7 277 60.5 7.1 37.0 302 4 68.4 3.5 42.0 299 60.1 7.8 36.9 308 5 68.6 3.4 42.4 285 2 63.7 5.4 39.5 271 4 69.8 1.4 48.4 265 64.1 5.4 39.2 284 69.5 1.3 47.8 247 63.4 5.4 39.0 281 69.5 1.3 46.9 231 63.2 5.3 39.0 291 69.9 1.3 47.5 268 63.2 5.0 39.0 270 70.3 1.1 47.1 247 2 2 60.6 6.8 38.1 248 4 2 66.6 1.8 45.7 205 61.0 6.5 38.6 264 66.5 1.7 46.8 239 60.7 6.8 38.8 257 3 67.1 1.7 46.3 230 60.6 7.1 38.6 260 65.8 1.8 46.3 235 60.3 6.0 38.5 261 5 65.6 1.9 46.1 220 IOWN-DAWN 2 3 63.8 5.7 40.5 282 4 3 70.1 1.7 48.1 253 63.2 6.1 40.2 284 72.3 0.7 47.8 249 63.3 6.0 40.0 291 3 69.7 1.5 46.7 226 63.2 5.9 40.0 299 69.9 1.3 47.1 248 63.1 5.4 39.7 295 69.8 1.4 46.7 236 PROBLEMS 237 ables: y1 = yield earliness, y2 = specific leaf area (SLA) earliness, )3 = total yield, and y4 = average SLA. The factors are sowing date (S) and variety (V). (a) Test for main effects and interaction using all four MANOVA statistics