The SAS System 10:00 Wednesday, October 17, 2001 38 Obs env rep gen family rust 1 C91 1 F3 1 7 2 C91 1 F3 2 7 3 C91 1 F3 3 5 4 C91 1 F3 4 7 5 C91 1 F3 5 8 6 C91 1 F3 6 7 7 C91 1 F3 7 7 8 C91 1 F3 8 9 9 C91 1 F3 9 9 10 C91 1 F3 10 9 11 C91 1 F3 11 7 12 C91 1 F3 12 9 13 C91 1 F3 14 9 14 C91 1 F3 15 7 15 C91 1 F3 16 4 16 C91 1 F3 18 2 17 C91 1 F3 19 9 18 C91 1 F3 20 9 19 C91 1 F3 21 7 20 C91 1 F3 22 6 21 C91 1 F3 23 9 22 C91 1 F3 24 9 23 C91 1 F3 26 6 24 C91 1 F3 27 3 25 C91 1 F3 28 9 26 C91 1 F3 29 3 27 C91 1 F3 30 5 28 C91 1 F3 31 4 29 C91 1 F3 32 4 30 C91 1 F3 33 4 31 C91 1 F3 34 5 32 C91 1 F3 35 6 33 C91 1 F3 36 6 34 C91 1 F3 37 6 35 C91 1 F3 39 7 36 C91 1 F3 40 9 37 C91 1 F3 41 7 38 C91 1 F3 42 9 39 C91 1 F3 43 7 40 C91 1 F3 44 9 41 C91 1 F3 45 3 42 C91 1 F3 46 9 43 C91 1 F3 47 9 44 C91 1 F3 48 4 45 C91 1 F3 49 4 46 C91 1 F3 50 7 47 C91 1 F3 51 9 48 C91 1 F3 53 3 49 C91 1 F3 54 6 50 C91 1 F3 55 3 The SAS System 10:00 Wednesday, October 17, 2001 39 Obs env rep gen family rust 51 C91 1 F3 56 6 52 C91 1 F3 57 6 53 C91 1 F3 58 9 54 C91 1 F3 59 9 55 C91 1 F3 60 7 56 C91 1 F3 61 7 57 C91 1 F3 62 9 58 C91 1 F3 63 4 59 C91 1 F3 64 6 60 C91 1 F3 65 2 61 C91 1 F3 66 8 62 C91 1 F3 68 7 63 C91 1 F3 69 7 64 C91 1 F3 70 9 65 C91 1 F3 71 9 66 C91 1 F3 73 6 67 C91 1 F3 74 6 68 C91 1 F3 75 8 69 C91 1 F3 76 4 70 C91 1 F3 78 6 71 C91 1 F3 79 7 72 C91 1 F3 80 9 73 C91 1 F3 81 9 74 C91 1 F3 82 5 75 C91 1 F3 83 6 76 C91 1 F3 84 7 77 C91 1 F3 85 9 78 C91 1 F3 87 9 79 C91 1 F3 88 7 80 C91 1 F3 89 7 81 C91 1 F3 91 9 82 C91 1 F3 93 7 83 C91 1 F3 95 7 84 C91 1 F3 96 7 85 C91 1 F3 97 9 86 C91 1 F3 98 2 87 C91 1 F3 99 9 88 C91 1 F3 100 8 89 C91 1 F3 101 5 90 C91 1 F3 102 2 91 C91 1 F3 104 7 92 C91 1 F3 105 7 93 C91 1 F3 106 9 94 C91 1 F3 107 6 95 C91 1 F3 109 9 96 C91 1 F3 110 7 97 C91 1 F3 111 7 98 C91 1 F3 112 9 99 C91 1 F3 113 7 100 C91 1 F3 114 4 The SAS System 10:00 Wednesday, October 17, 2001 40 Obs env rep gen family rust 101 C91 1 F3 115 9 102 C91 1 F3 116 7 103 C91 1 F3 117 9 104 C91 1 F3 118 4 105 C91 1 F3 123 7 106 C91 1 F3 124 5 107 C91 1 F3 125 7 108 C91 1 F3 126 8 109 C91 1 F3 128 9 110 C91 1 F3 129 5 111 C91 1 F3 130 9 112 C91 1 F3 131 6 113 C91 1 F3 132 9 114 C91 1 F3 133 9 115 C91 1 F3 134 9 116 C91 1 F3 135 4 117 C91 1 F3 136 7 118 C91 1 F3 137 9 119 C91 1 F3 138 7 120 C91 1 F3 139 6 121 C91 1 F3 140 6 122 C91 1 F3 141 7 123 C91 1 F3 142 9 124 C91 1 F3 143 5 125 C91 1 F3 145 7 126 C91 1 F3 146 6 127 C91 1 F3 147 7 128 C91 1 F3 148 9 129 C91 1 F3 149 2 130 C91 1 F3 150 6 131 C91 1 F3 151 7 132 C91 1 F3 152 4 133 C91 1 F3 153 7 134 C91 1 F3 155 4 135 C91 1 F3 157 7 136 C91 1 F3 158 7 137 C91 1 F3 159 9 138 C91 1 F3 160 2 139 C91 1 F3 161 5 140 C91 1 F3 162 7 141 C91 2 F3 1 7 142 C91 2 F3 2 7 143 C91 2 F3 3 4 144 C91 2 F3 4 7 145 C91 2 F3 5 7 146 C91 2 F3 6 7 147 C91 2 F3 7 6 148 C91 2 F3 8 9 149 C91 2 F3 9 9 150 C91 2 F3 10 9 The SAS System 10:00 Wednesday, October 17, 2001 41 Obs env rep gen family rust 151 C91 2 F3 11 7 152 C91 2 F3 12 9 153 C91 2 F3 14 9 154 C91 2 F3 15 7 155 C91 2 F3 16 5 156 C91 2 F3 18 2 157 C91 2 F3 19 7 158 C91 2 F3 20 9 159 C91 2 F3 21 9 160 C91 2 F3 22 7 161 C91 2 F3 23 9 162 C91 2 F3 24 9 163 C91 2 F3 26 4 164 C91 2 F3 27 3 165 C91 2 F3 28 8 166 C91 2 F3 29 3 167 C91 2 F3 30 8 168 C91 2 F3 31 7 169 C91 2 F3 32 6 170 C91 2 F3 33 4 171 C91 2 F3 34 7 172 C91 2 F3 35 5 173 C91 2 F3 36 3 174 C91 2 F3 37 6 175 C91 2 F3 39 7 176 C91 2 F3 40 9 177 C91 2 F3 41 7 178 C91 2 F3 42 9 179 C91 2 F3 43 7 180 C91 2 F3 44 7 181 C91 2 F3 45 2 182 C91 2 F3 46 9 183 C91 2 F3 47 9 184 C91 2 F3 48 7 185 C91 2 F3 49 3 186 C91 2 F3 50 7 187 C91 2 F3 51 9 188 C91 2 F3 53 5 189 C91 2 F3 54 5 190 C91 2 F3 55 3 191 C91 2 F3 56 7 192 C91 2 F3 57 7 193 C91 2 F3 58 9 194 C91 2 F3 59 9 195 C91 2 F3 60 8 196 C91 2 F3 61 9 197 C91 2 F3 62 9 198 C91 2 F3 63 5 199 C91 2 F3 64 6 200 C91 2 F3 65 5 The SAS System 10:00 Wednesday, October 17, 2001 42 Obs env rep gen family rust 201 C91 2 F3 66 8 202 C91 2 F3 68 8 203 C91 2 F3 69 7 204 C91 2 F3 70 7 205 C91 2 F3 71 9 206 C91 2 F3 73 7 207 C91 2 F3 74 7 208 C91 2 F3 75 5 209 C91 2 F3 76 8 210 C91 2 F3 78 7 211 C91 2 F3 79 7 212 C91 2 F3 80 6 213 C91 2 F3 81 8 214 C91 2 F3 82 2 215 C91 2 F3 83 4 216 C91 2 F3 84 8 217 C91 2 F3 85 6 218 C91 2 F3 87 9 219 C91 2 F3 88 7 220 C91 2 F3 89 8 221 C91 2 F3 91 9 222 C91 2 F3 93 8 223 C91 2 F3 95 7 224 C91 2 F3 96 6 225 C91 2 F3 97 9 226 C91 2 F3 98 6 227 C91 2 F3 99 7 228 C91 2 F3 100 7 229 C91 2 F3 101 6 230 C91 2 F3 102 6 231 C91 2 F3 104 7 232 C91 2 F3 105 6 233 C91 2 F3 106 9 234 C91 2 F3 107 8 235 C91 2 F3 109 9 236 C91 2 F3 110 7 237 C91 2 F3 111 7 238 C91 2 F3 112 9 239 C91 2 F3 113 7 240 C91 2 F3 114 4 241 C91 2 F3 115 9 242 C91 2 F3 116 6 243 C91 2 F3 117 9 244 C91 2 F3 118 6 245 C91 2 F3 123 4 246 C91 2 F3 124 6 247 C91 2 F3 125 8 248 C91 2 F3 126 7 249 C91 2 F3 128 9 250 C91 2 F3 129 7 The SAS System 10:00 Wednesday, October 17, 2001 43 Obs env rep gen family rust 251 C91 2 F3 130 9 252 C91 2 F3 131 7 253 C91 2 F3 132 9 254 C91 2 F3 133 8 255 C91 2 F3 134 9 256 C91 2 F3 135 7 257 C91 2 F3 136 9 258 C91 2 F3 137 9 259 C91 2 F3 138 6 260 C91 2 F3 139 6 261 C91 2 F3 140 7 262 C91 2 F3 141 6 263 C91 2 F3 142 9 264 C91 2 F3 143 6 265 C91 2 F3 145 8 266 C91 2 F3 146 6 267 C91 2 F3 147 7 268 C91 2 F3 148 9 269 C91 2 F3 149 2 270 C91 2 F3 150 7 271 C91 2 F3 151 7 272 C91 2 F3 152 7 273 C91 2 F3 153 7 274 C91 2 F3 155 5 275 C91 2 F3 157 8 276 C91 2 F3 158 9 277 C91 2 F3 159 9 278 C91 2 F3 160 2 279 C91 2 F3 161 5 280 C91 2 F3 162 6 281 C94 1 F3 3 3 282 C94 1 F3 8 9 283 C94 1 F3 9 9 284 C94 1 F3 10 9 285 C94 1 F3 12 9 286 C94 1 F3 14 9 287 C94 1 F3 16 7 288 C94 1 F3 18 4 289 C94 1 F3 20 9 290 C94 1 F3 21 3 291 C94 1 F3 23 9 292 C94 1 F3 27 3 293 C94 1 F3 29 4 294 C94 1 F3 33 4 295 C94 1 F3 36 4 296 C94 1 F3 40 9 297 C94 1 F3 42 9 298 C94 1 F3 45 3 299 C94 1 F3 46 9 300 C94 1 F3 47 9 The SAS System 10:00 Wednesday, October 17, 2001 44 Obs env rep gen family rust 301 C94 1 F3 49 2 302 C94 1 F3 51 9 303 C94 1 F3 53 3 304 C94 1 F3 55 3 305 C94 1 F3 56 4 306 C94 1 F3 59 9 307 C94 1 F3 62 9 308 C94 1 F3 63 5 309 C94 1 F3 65 6 310 C94 1 F3 71 9 311 C94 1 F3 82 3 312 C94 1 F3 87 9 313 C94 1 F3 91 9 314 C94 1 F3 97 9 315 C94 1 F3 98 4 316 C94 1 F3 102 3 317 C94 1 F3 106 9 318 C94 1 F3 109 9 319 C94 1 F3 112 9 320 C94 1 F3 114 4 321 C94 1 F3 115 9 322 C94 1 F3 117 9 323 C94 1 F3 128 9 324 C94 1 F3 130 9 325 C94 1 F3 132 9 326 C94 1 F3 134 9 327 C94 1 F3 137 9 328 C94 1 F3 142 9 329 C94 1 F3 148 9 330 C94 1 F3 149 3 331 C94 1 F3 159 9 332 C94 1 F3 160 4 333 C94 2 F3 3 3 334 C94 2 F3 8 9 335 C94 2 F3 9 9 336 C94 2 F3 10 9 337 C94 2 F3 12 9 338 C94 2 F3 14 9 339 C94 2 F3 16 6 340 C94 2 F3 18 . 341 C94 2 F3 20 9 342 C94 2 F3 21 . 343 C94 2 F3 23 9 344 C94 2 F3 27 . 345 C94 2 F3 29 . 346 C94 2 F3 33 4 347 C94 2 F3 36 3 348 C94 2 F3 40 9 349 C94 2 F3 42 9 350 C94 2 F3 45 . The SAS System 10:00 Wednesday, October 17, 2001 45 Obs env rep gen family rust 351 C94 2 F3 46 9 352 C94 2 F3 47 9 353 C94 2 F3 49 . 354 C94 2 F3 51 9 355 C94 2 F3 53 3 356 C94 2 F3 55 3 357 C94 2 F3 56 4 358 C94 2 F3 59 9 359 C94 2 F3 62 9 360 C94 2 F3 63 6 361 C94 2 F3 65 6 362 C94 2 F3 71 9 363 C94 2 F3 82 3 364 C94 2 F3 87 9 365 C94 2 F3 91 9 366 C94 2 F3 97 9 367 C94 2 F3 98 . 368 C94 2 F3 102 . 369 C94 2 F3 106 9 370 C94 2 F3 109 9 371 C94 2 F3 112 9 372 C94 2 F3 114 . 373 C94 2 F3 115 9 374 C94 2 F3 117 9 375 C94 2 F3 128 9 376 C94 2 F3 130 9 377 C94 2 F3 132 9 378 C94 2 F3 134 9 379 C94 2 F3 137 9 380 C94 2 F3 142 9 381 C94 2 F3 148 9 382 C94 2 F3 149 3 383 C94 2 F3 159 . 384 C94 2 F3 160 3 385 F91 1 F2 1 7 386 F91 1 F2 2 8 387 F91 1 F2 3 1 388 F91 1 F2 4 8 389 F91 1 F2 5 7 390 F91 1 F2 6 7 391 F91 1 F2 7 5 392 F91 1 F2 8 8 393 F91 1 F2 9 7 394 F91 1 F2 10 7 395 F91 1 F2 11 3 396 F91 1 F2 12 7 397 F91 1 F2 14 7 398 F91 1 F2 15 3 399 F91 1 F2 16 6 400 F91 1 F2 18 1 The SAS System 10:00 Wednesday, October 17, 2001 46 Obs env rep gen family rust 401 F91 1 F2 19 6 402 F91 1 F2 20 8 403 F91 1 F2 21 7 404 F91 1 F2 22 7 405 F91 1 F2 23 8 406 F91 1 F2 24 7 407 F91 1 F2 26 5 408 F91 1 F2 27 1 409 F91 1 F2 28 8 410 F91 1 F2 29 2 411 F91 1 F2 30 8 412 F91 1 F2 31 8 413 F91 1 F2 32 7 414 F91 1 F2 33 2 415 F91 1 F2 34 8 416 F91 1 F2 35 3 417 F91 1 F2 36 3 418 F91 1 F2 37 7 419 F91 1 F2 39 4 420 F91 1 F2 40 7 421 F91 1 F2 41 7 422 F91 1 F2 42 7 423 F91 1 F2 43 8 424 F91 1 F2 44 9 425 F91 1 F2 45 1 426 F91 1 F2 46 7 427 F91 1 F2 47 7 428 F91 1 F2 48 7 429 F91 1 F2 49 7 430 F91 1 F2 50 8 431 F91 1 F2 51 9 432 F91 1 F2 53 1 433 F91 1 F2 54 8 434 F91 1 F2 55 3 435 F91 1 F2 56 7 436 F91 1 F2 57 8 437 F91 1 F2 58 8 438 F91 1 F2 59 7 439 F91 1 F2 60 4 440 F91 1 F2 61 7 441 F91 1 F2 62 8 442 F91 1 F2 63 7 443 F91 1 F2 64 2 444 F91 1 F2 65 3 445 F91 1 F2 66 7 446 F91 1 F2 68 6 447 F91 1 F2 69 7 448 F91 1 F2 70 8 449 F91 1 F2 71 8 450 F91 1 F2 73 7 The SAS System 10:00 Wednesday, October 17, 2001 47 Obs env rep gen family rust 451 F91 1 F2 74 7 452 F91 1 F2 75 7 453 F91 1 F2 76 4 454 F91 1 F2 78 4 455 F91 1 F2 79 7 456 F91 1 F2 80 6 457 F91 1 F2 81 7 458 F91 1 F2 82 7 459 F91 1 F2 83 3 460 F91 1 F2 84 9 461 F91 1 F2 85 . 462 F91 1 F2 87 8 463 F91 1 F2 88 9 464 F91 1 F2 89 8 465 F91 1 F2 91 8 466 F91 1 F2 93 5 467 F91 1 F2 95 9 468 F91 1 F2 96 8 469 F91 1 F2 97 7 470 F91 1 F2 98 3 471 F91 1 F2 99 8 472 F91 1 F2 100 8 473 F91 1 F2 101 7 474 F91 1 F2 102 1 475 F91 1 F2 104 4 476 F91 1 F2 105 9 477 F91 1 F2 106 5 478 F91 1 F2 107 9 479 F91 1 F2 109 8 480 F91 1 F2 110 7 481 F91 1 F2 111 6 482 F91 1 F2 112 9 483 F91 1 F2 113 9 484 F91 1 F2 114 2 485 F91 1 F2 115 7 486 F91 1 F2 116 8 487 F91 1 F2 117 8 488 F91 1 F2 118 3 489 F91 1 F2 123 6 490 F91 1 F2 124 6 491 F91 1 F2 125 2 492 F91 1 F2 126 7 493 F91 1 F2 128 8 494 F91 1 F2 129 4 495 F91 1 F2 130 7 496 F91 1 F2 131 6 497 F91 1 F2 132 9 498 F91 1 F2 133 8 499 F91 1 F2 134 4 500 F91 1 F2 135 2 The SAS System 10:00 Wednesday, October 17, 2001 48 Obs env rep gen family rust 501 F91 1 F2 136 7 502 F91 1 F2 137 8 503 F91 1 F2 138 8 504 F91 1 F2 139 7 505 F91 1 F2 140 6 506 F91 1 F2 141 4 507 F91 1 F2 142 7 508 F91 1 F2 143 7 509 F91 1 F2 145 4 510 F91 1 F2 146 6 511 F91 1 F2 147 6 512 F91 1 F2 148 4 513 F91 1 F2 149 3 514 F91 1 F2 150 7 515 F91 1 F2 151 7 516 F91 1 F2 152 5 517 F91 1 F2 153 6 518 F91 1 F2 155 3 519 F91 1 F2 157 8 520 F91 1 F2 158 6 521 F91 1 F2 159 . 522 F91 1 F2 160 1 523 F91 1 F2 161 1 524 F91 1 F2 162 9 The SAS System 10:00 Wednesday, October 17, 2001 49 The REG Procedure Model: MODEL1 Dependent Variable: rustF3 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 353.18929 353.18929 143.10 <.0001 Error 274 676.24549 2.46805 Corrected Total 275 1029.43478 Root MSE 1.57100 R-Square 0.3431 Dependent Mean 6.80435 Adj R-Sq 0.3407 Coeff Var 23.08822 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 3.74153 0.27294 13.71 <.0001 rustF2 1 0.50079 0.04186 11.96 <.0001 The SAS System 10:00 Wednesday, October 17, 2001 50 The UNIVARIATE Procedure Variable: rust Moments N 138 Sum Weights 138 Mean 6.11594203 Sum Observations 844 Std Deviation 2.26710035 Variance 5.139744 Skewness -0.9045936 Kurtosis -0.288225 Uncorrected SS 5866 Corrected SS 704.144928 Coeff Variation 37.0687024 Std Error Mean 0.1929884 Basic Statistical Measures Location Variability Mean 6.115942 Std Deviation 2.26710 Median 7.000000 Variance 5.13974 Mode 7.000000 Range 8.00000 Interquartile Range 4.00000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 31.69072 Pr > |t| <.0001 Sign M 69 Pr >= |M| <.0001 Signed Rank S 4795.5 Pr >= |S| <.0001 Quantiles (Definition 5) Quantile Estimate 100% Max 9 99% 9 95% 9 90% 8 75% Q3 8 50% Median 7 25% Q1 4 10% 2 5% 1 1% 1 0% Min 1 The SAS System 10:00 Wednesday, October 17, 2001 51 The UNIVARIATE Procedure Variable: rust Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 1 139 9 94 1 138 9 98 1 90 9 99 1 48 9 113 1 41 9 140 Missing Values -----Percent Of----- Missing Missing Value Count All Obs Obs . 2 1.43 100.00 The SAS System 10:00 Wednesday, October 17, 2001 52 The GLM Procedure Class Level Information Class Levels Values env 2 C91 C94 rep 2 1 2 family 140 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 55 56 57 58 59 60 61 62 63 64 65 66 68 69 70 71 73 74 75 76 78 79 80 81 82 83 84 85 87 88 89 91 93 95 96 97 98 99 100 101 102 104 105 106 107 109 110 111 112 113 114 115 116 117 118 123 124 125 126 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 145 146 147 148 149 150 151 152 153 155 157 158 159 160 161 162 Number of observations 384 NOTE: Due to missing values, only 374 observations can be used in this analysis. The SAS System 10:00 Wednesday, October 17, 2001 53 The GLM Procedure Dependent Variable: rust Sum of Source DF Squares Mean Square F Value Pr > F Model 193 1543.041794 7.995035 11.05 <.0001 Error 180 130.220238 0.723446 Corrected Total 373 1673.262032 R-Square Coeff Var Root MSE rust Mean 0.922176 12.30116 0.850556 6.914439 Source DF Type I SS Mean Square F Value Pr > F env 1 8.911500 8.911500 12.32 0.0006 rep(env) 2 12.445221 6.222610 8.60 0.0003 family 139 1474.084951 10.604928 14.66 <.0001 env*family 51 47.600122 0.933336 1.29 0.1149 Source DF Type III SS Mean Square F Value Pr > F env 1 0.128838 0.128838 0.18 0.6735 rep(env) 2 2.279762 1.139881 1.58 0.2097 family 139 1433.038400 10.309629 14.25 <.0001 env*family 51 47.600122 0.933336 1.29 0.1149 The SAS System 10:00 Wednesday, October 17, 2001 54 The Mixed Procedure Model Information Data Set WORK.F3 Dependent Variable rust Covariance Structure Variance Components Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Containment Class Level Information Class Levels Values env 2 C91 C94 rep 2 1 2 family 140 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 55 56 57 58 59 60 61 62 63 64 65 66 68 69 70 71 73 74 75 76 78 79 80 81 82 83 84 85 87 88 89 91 93 95 96 97 98 99 100 101 102 104 105 106 107 109 110 111 112 113 114 115 116 117 118 123 124 125 126 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 145 146 147 148 149 150 151 152 153 155 157 158 159 160 161 162 Dimensions Covariance Parameters 5 Columns in X 1 Columns in Z 338 Subjects 1 Max Obs Per Subject 384 Observations Used 374 Observations Not Used 10 Total Observations 384 The SAS System 10:00 Wednesday, October 17, 2001 55 The Mixed Procedure Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 1624.30745772 1 3 1308.36597500 2.36545335 2 3 1306.90827100 0.09382489 3 3 1299.06477355 . 4 2 1297.99922109 0.00540990 5 1 1296.09869736 . 6 1 1295.94455264 0.00000394 7 1 1295.94334220 0.00000000 Convergence criteria met. Covariance Parameter Estimates Cov Parm Estimate env 0 rep(env) 0.003251 family 3.0061 env*family 0.01602 Residual 0.7487 Fit Statistics Res Log Likelihood -648.0 Akaike's Information Criterion -652.0 Schwarz's Bayesian Criterion -649.4 -2 Res Log Likelihood 1295.9 The SAS System 10:00 Wednesday, October 17, 2001 56 The Mixed Procedure Model Information Data Set WORK.ONE Dependent Variable rust Covariance Structures Variance Components, Unstructured Subject Effect family Group Effects gen, gen Estimation Method REML Residual Variance Method None Fixed Effects SE Method Model-Based Degrees of Freedom Method Containment Class Level Information Class Levels Values env 3 C91 C94 F91 rep 2 1 2 family 140 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 39 40 41 42 43 44 45 46 47 48 49 50 51 53 54 55 56 57 58 59 60 61 62 63 64 65 66 68 69 70 71 73 74 75 76 78 79 80 81 82 83 84 85 87 88 89 91 93 95 96 97 98 99 100 101 102 104 105 106 107 109 110 111 112 113 114 115 116 117 118 123 124 125 126 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 145 146 147 148 149 150 151 152 153 155 157 158 159 160 161 162 gen 2 F2 F3 Dimensions Covariance Parameters 9 Columns in X 1 Columns in Z 952 Subjects 1 Max Obs Per Subject 524 Observations Used 512 Observations Not Used 12 Total Observations 524 The SAS System 10:00 Wednesday, October 17, 2001 57 The Mixed Procedure Parameter Search CovP1 CovP2 CovP3 CovP4 CovP5 CovP6 CovP7 0.1451 0.005700 0 0.1460 4.2740 2.5741 3.0086 Parameter Search CovP8 CovP9 Res Log Like -2 Res Log Like 0 0.7515 -930.2831 1860.5662 Iteration History Iteration Evaluations -2 Res Log Like Criterion 1 4 1854.47394086 . 2 1 1852.28225459 0.00031736 3 1 1852.12944442 0.00000245 4 1 1852.12832042 0.00000000 Convergence criteria met. Covariance Parameter Estimates Cov Parm Subject Group Estimate env 0.1451 rep(env) 0.005708 env*family gen F2 0 env*family gen F3 0.01461 UN(1,1) family 5.1375 UN(2,1) family 2.5741 UN(2,2) family 3.0086 Residual gen F2 0 Residual gen F3 0.7515 Asymptotic Covariance Matrix of Estimates Row Cov Parm CovP1 CovP2 CovP3 CovP4 CovP5 1 env 0.02818 -0.00015 0.000175 -0.00110 2 rep(env) -0.00015 0.000147 0.000017 1.985E-6 3 env*family 4 env*family 0.000175 0.000017 0.009321 -0.00001 5 UN(1,1) -0.00110 1.985E-6 -0.00001 0.3844 The SAS System 10:00 Wednesday, October 17, 2001 58 The Mixed Procedure Asymptotic Covariance Matrix of Estimates Row Cov Parm CovP1 CovP2 CovP3 CovP4 CovP5 6 UN(2,1) 0.000233 -7.82E-6 0.000975 0.1917 7 UN(2,2) -0.00049 -0.00002 -0.00280 0.09535 8 Residual 9 Residual 0.000079 -0.00003 -0.00411 -4.54E-6 Asymptotic Covariance Matrix of Estimates Row CovP6 CovP7 CovP8 CovP9 1 0.000233 -0.00049 0.000079 2 -7.82E-6 -0.00002 -0.00003 3 4 0.000975 -0.00280 -0.00411 5 0.1917 0.09535 -4.54E-6 6 0.1710 0.1202 -0.00002 7 0.1202 0.1534 0.000200 8 9 -0.00002 0.000200 0.006638 Fit Statistics Res Log Likelihood -926.1 Akaike's Information Criterion -933.1 Schwarz's Bayesian Criterion -929.9 -2 Res Log Likelihood 1852.1 PARMS Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 7 8.44 0.2956 The SAS System 10:00 Wednesday, October 17, 2001 59 Heritability on a Plot Basis H 0.7970535 SE 0.029119 Heritability on a Family Mean Basis H 0.9032148 SE 0.0223061 Heritability from regression of S1 offspring on individual parents H 0.3337957 SE 0.0237197