------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 1 Obs NCGS PCHOL CH4 CH6 CH8 CH9 1 01002 251 262 239 234 248 2 01003 230 298 263 304 281 3 01004 221 218 208 250 255 4 01006 210 220 226 227 250 5 01007 186 203 229 207 242 6 01008 178 246 295 228 274 7 01009 200 276 256 289 291 8 01010 163 181 199 197 216 9 01011 187 260 202 258 319 10 01013 171 188 . . . 11 01014 239 298 308 310 267 12 01015 213 257 199 243 166 13 01018 221 227 239 224 . 14 01019 204 . . . . 15 01020 274 247 266 317 . 16 01021 193 . . . . 17 01023 233 218 230 251 273 18 01026 197 224 214 . . 19 01027 255 254 223 233 262 20 01029 254 260 278 245 340 21 01030 172 219 258 . . 22 01032 288 237 335 282 317 23 01033 250 258 258 286 240 24 01034 287 331 331 . . 25 01036 174 . . . . 26 01037 245 250 276 242 252 27 01041 229 265 224 200 239 28 01042 141 143 157 162 169 29 01043 181 223 . . . 30 01044 200 205 208 223 204 31 01045 418 371 363 384 387 32 01046 176 139 199 180 . 33 01053 185 181 . . . 34 01054 268 296 314 330 . 35 01056 247 169 265 263 254 36 01058 228 240 278 240 307 37 01060 260 268 . . . 38 01061 262 289 290 323 297 39 01063 231 240 298 283 . 40 01064 216 205 . . . 41 01065 164 212 246 229 190 42 01066 252 228 213 224 214 43 01068 334 278 339 327 378 44 01069 316 351 354 376 337 45 01070 184 164 194 218 206 46 01071 184 241 290 267 254 47 01072 158 175 . 147 . 48 01073 206 213 . . . 49 01074 188 171 182 193 223 50 01075 202 186 253 . . 51 01079 235 248 280 240 233 52 01081 211 220 212 249 215 53 01082 197 218 . . . 54 01084 163 186 188 248 214 55 01085 210 214 236 260 228 56 01087 232 . . . . ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 2 Obs NCGS PCHOL CH4 CH6 CH8 CH9 57 01088 319 308 319 345 346 58 01089 192 189 . . . 59 01091 234 221 268 258 261 60 01092 246 240 254 254 243 61 01096 372 325 307 348 344 62 01098 164 185 177 178 222 63 01099 185 232 215 220 292 64 01101 281 316 353 324 328 65 01102 266 294 281 292 325 66 01103 219 268 241 260 320 67 01105 234 246 242 232 251 68 01107 208 230 213 242 192 69 01108 219 178 243 222 228 70 01110 271 260 282 275 301 71 01111 233 199 . . . 72 01112 229 218 228 244 179 73 01114 183 154 167 168 . 74 01115 215 219 215 198 244 75 02002 223 220 233 217 237 76 02003 189 222 223 . . 77 02004 167 177 235 . . 78 02005 287 282 . . . 79 02007 250 209 224 273 245 80 02009 271 289 270 296 346 81 02010 256 . . . . 82 02012 258 327 . . . 83 02013 243 199 284 239 216 84 02014 245 256 274 261 304 85 02015 275 . . . . 86 02016 288 266 300 263 258 87 02019 233 245 223 239 248 88 02020 310 368 274 333 254 89 02021 233 225 214 255 260 90 02023 214 . . . . 91 02024 312 323 318 383 310 92 02027 205 232 265 242 230 93 02029 255 255 280 263 249 94 02030 178 191 237 220 191 95 02031 186 207 191 205 190 96 02032 322 376 306 368 359 97 02033 137 178 150 155 169 98 02034 231 304 277 271 311 99 02035 182 213 173 200 193 100 02036 178 . . . . 101 02038 200 229 229 242 229 102 02039 233 . . . . 103 02040 206 252 217 223 198 104 02043 194 220 214 256 204 105 02044 165 196 211 193 162 106 02045 310 334 290 286 248 107 02046 227 266 272 270 225 108 02048 275 353 278 217 . 109 02049 262 287 255 290 256 110 02051 202 238 . . . 111 02054 191 204 227 228 196 112 02056 239 248 281 . . ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 3 Obs NCGS PCHOL CH4 CH6 CH8 CH9 113 02057 211 232 189 230 231 114 02058 297 327 239 308 285 115 02060 234 229 238 247 234 116 02062 391 401 381 314 337 117 02063 320 320 368 304 . 118 02064 237 245 244 . . 119 02066 216 205 218 185 198 120 02068 230 269 265 256 246 121 02071 226 210 . . . 122 02073 191 229 211 197 220 123 02074 287 298 294 . . 124 02075 229 241 244 256 217 125 02077 245 233 216 225 221 126 02078 207 249 221 231 248 127 02080 195 281 217 256 208 128 02081 245 270 209 255 213 129 02082 220 250 250 229 256 130 02083 269 . . . . 131 02084 270 266 300 248 298 132 02087 216 209 204 227 192 133 02088 178 197 217 254 206 134 02090 229 200 238 259 221 135 02096 228 246 245 233 263 136 02097 245 293 261 297 231 137 02099 257 . . . . 138 02100 212 248 214 244 199 139 02101 204 191 200 184 196 140 03001 205 299 278 259 266 141 03002 177 . . . . 142 03003 193 230 275 225 239 143 03004 373 309 332 . . 144 03006 256 244 217 281 288 145 03007 209 . . . . 146 03008 320 306 343 332 . 147 03010 251 248 242 270 253 148 03011 224 234 . . . 149 03012 222 234 . . . 150 03014 240 313 251 307 291 151 03017 284 288 268 261 . 152 03019 252 . . . . 153 03020 270 281 249 288 321 154 03021 203 210 262 251 248 155 03022 305 306 277 260 294 156 03026 234 281 277 235 210 157 03034 206 229 185 210 206 158 03035 257 303 248 244 250 159 03036 233 268 281 316 384 160 03037 217 214 212 228 253 161 03038 204 228 171 191 156 162 03039 152 167 175 279 203 163 03040 270 . . . . 164 03043 323 235 306 350 345 165 03044 265 282 302 288 296 166 03045 269 255 290 253 375 167 03046 247 228 255 234 266 168 03047 325 323 . . . ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 4 Obs NCGS PCHOL CH4 CH6 CH8 CH9 169 03048 239 212 204 227 204 170 03049 246 224 280 235 232 171 03050 172 186 175 219 170 172 03053 239 250 245 . . 173 03056 169 172 179 183 149 174 03057 364 346 298 353 252 175 03058 188 205 206 185 168 176 03060 181 195 . . . 177 03062 208 228 260 277 253 178 03063 231 253 224 281 219 179 03064 181 186 265 285 213 180 03066 155 148 152 213 168 181 03069 198 170 210 256 219 182 03070 221 231 256 219 220 183 03074 282 282 . . . 184 04001 264 276 290 260 279 185 04002 189 185 229 173 197 186 04003 266 306 306 273 294 187 04004 336 295 . . . 188 04007 270 278 258 263 262 189 04008 277 245 238 232 248 190 04011 210 252 275 235 237 191 04012 257 226 280 . . 192 04014 233 269 268 227 283 193 04015 206 231 247 232 298 194 04017 239 224 210 219 229 195 04018 215 211 231 218 227 196 04019 215 243 265 270 315 197 04020 267 192 255 244 184 198 04023 195 231 227 192 212 199 04025 211 263 244 276 279 200 04026 242 236 253 216 229 201 04029 191 248 283 268 233 202 04030 288 258 276 352 358 203 04031 222 266 263 264 179 204 04033 163 194 256 201 216 205 04034 164 175 202 171 . 206 04037 217 256 239 275 . 207 04038 256 . . . . 208 04039 255 246 . . . 209 04040 257 272 268 276 241 210 04041 308 252 232 315 272 211 04042 151 152 165 183 134 212 04043 211 215 . . . 213 04044 231 . . . . 214 04046 231 249 225 239 244 215 04051 201 202 175 199 183 216 04052 255 243 240 224 242 217 04054 249 257 244 236 238 218 04055 214 197 184 194 237 219 04057 254 242 276 246 265 220 04058 217 217 205 189 217 221 04059 305 . . . . 222 04060 258 228 244 247 243 223 04061 328 307 292 392 364 224 04062 205 219 189 238 208 ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 5 Obs NCGS PCHOL CH4 CH6 CH8 CH9 225 04063 254 . . . . 226 04064 276 232 283 265 316 227 04066 262 249 268 . . 228 04067 274 254 295 280 . 229 04068 237 220 250 243 264 230 04070 206 231 220 227 196 231 04071 175 151 . 180 157 232 04074 217 231 276 257 . 233 04076 154 179 181 161 186 234 04077 249 217 236 266 235 235 04078 232 208 236 . . 236 04079 301 270 282 287 268 237 04080 201 214 247 274 224 238 04082 271 286 295 290 308 239 04083 200 . . . . 240 04084 181 202 221 195 205 241 04085 216 197 202 176 . 242 04086 207 201 191 195 229 243 05001 187 164 . . . 244 05004 251 257 237 266 . 245 05005 203 213 199 227 213 246 05006 199 176 222 189 189 247 05008 188 228 238 182 267 248 05009 275 231 285 238 251 249 05011 182 174 200 177 213 250 05012 252 279 267 290 316 251 05013 244 218 216 201 217 252 05014 225 200 225 247 215 253 05016 238 238 278 266 263 254 05019 269 332 300 320 335 255 05020 241 210 229 237 211 256 05022 261 263 273 . . 257 05023 211 187 204 184 206 258 05024 250 232 235 259 220 259 05025 148 180 184 231 184 260 05026 194 209 207 201 228 261 05027 188 201 193 210 199 262 05028 236 263 263 272 240 263 05029 276 326 304 . . 264 05032 168 198 . . . 265 05033 152 156 127 156 154 266 05034 213 249 219 209 . 267 05035 267 279 251 . . 268 05036 220 243 186 207 . 269 05038 163 180 173 194 156 270 05040 226 204 237 245 198 271 05041 227 247 . . 220 272 05044 188 182 196 220 236 273 05045 230 . . . . 274 05046 235 238 235 277 221 275 05048 263 256 266 255 241 276 05049 276 . 306 329 . 277 05051 234 243 224 225 224 278 05053 283 296 301 274 . 279 05057 277 242 249 293 306 280 05059 294 313 295 295 271 ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 6 Obs NCGS PCHOL CH4 CH6 CH8 CH9 281 05060 271 268 300 267 286 282 05061 190 197 192 192 190 283 05062 213 272 259 278 265 284 05064 157 137 162 128 167 285 05066 239 234 254 236 277 286 05068 255 233 296 257 . 287 05069 189 263 186 167 205 288 05070 111 . . . . 289 05071 229 270 231 294 233 290 05072 208 230 229 269 215 291 05075 248 262 . . . 292 05076 222 220 231 284 235 293 06001 244 267 278 275 279 294 06004 181 194 212 217 205 295 06006 243 241 206 234 222 296 06007 196 240 241 273 260 297 06010 287 304 341 322 289 298 06011 166 . . . . 299 06012 280 245 270 237 241 300 06013 282 279 237 259 275 301 06014 163 179 199 . . 302 06015 258 263 190 213 222 303 06017 276 343 315 291 331 304 06018 165 242 250 249 312 305 06019 195 . . . . 306 06021 290 324 347 382 362 307 06022 210 213 233 . . 308 06023 262 290 265 282 312 309 06024 157 193 199 183 177 310 06025 258 237 191 . . 311 06026 177 167 177 211 . 312 06027 210 230 235 238 248 313 06029 191 214 228 207 230 314 06030 191 159 196 197 194 315 06033 229 253 241 244 272 316 06034 254 263 266 270 251 317 06035 207 238 266 270 240 318 06036 226 250 246 242 233 319 06039 239 270 256 275 267 320 06043 257 246 253 278 278 321 06044 212 236 235 272 287 322 06048 228 271 273 275 271 323 06049 156 157 178 170 176 324 06050 260 212 228 210 215 325 06051 274 276 239 272 261 326 06054 237 295 271 284 268 327 06055 230 315 300 305 341 328 06056 235 255 224 284 222 329 06057 239 243 265 . . 330 06059 274 175 179 209 155 331 06060 323 314 363 337 344 332 06061 193 196 173 207 159 333 06062 293 276 276 278 306 334 06063 239 205 239 263 246 335 06064 236 259 279 264 . 336 06065 311 278 251 277 283 ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 7 Obs NCGS PCHOL CH4 CH6 CH8 CH9 337 06068 272 297 316 343 295 338 06071 144 172 173 158 162 339 06073 230 282 276 223 225 340 06074 204 203 198 . . 341 06076 204 211 181 182 201 342 06078 192 222 232 200 246 343 06079 181 171 189 179 218 344 06080 291 228 223 241 250 345 06081 227 235 . . . 346 06082 206 242 236 239 . 347 06083 246 205 249 225 236 348 06084 267 239 247 292 225 349 06085 225 274 267 . 273 350 06087 308 . . . . 351 06088 206 217 198 244 215 352 06090 291 247 . . . 353 07001 162 167 189 212 205 354 07002 291 307 277 289 249 355 07003 225 . . . . 356 07004 170 150 209 186 211 357 07010 190 170 . . . 358 07011 195 190 205 217 238 359 07012 247 211 225 . . 360 07013 252 253 253 251 248 361 07014 183 176 204 187 171 362 07015 232 . . . . 363 07017 245 192 215 214 242 364 07018 265 328 261 320 316 365 07019 195 250 272 . . 366 07020 210 230 249 240 194 367 07021 247 314 349 291 308 368 07022 230 263 280 247 263 369 07023 229 238 . . . 370 07024 225 255 278 226 231 371 07026 258 314 307 286 318 372 07027 213 266 254 274 282 373 07029 192 201 195 . . 374 07030 216 . . . . 375 07032 428 341 312 . . 376 07033 215 185 235 228 192 377 07036 193 . . . . 378 07039 301 304 269 . . 379 07040 179 202 194 239 234 380 07041 248 251 239 254 212 381 07043 182 185 204 160 175 382 07044 238 221 199 242 239 383 07045 190 198 203 194 209 384 07046 327 355 299 . . 385 07047 246 255 251 271 295 386 07048 212 224 246 271 256 387 07049 238 215 221 224 240 388 07051 245 . . . . 389 07052 243 271 304 273 318 390 07054 259 279 296 262 283 391 07056 196 . . . . 392 07057 172 161 197 198 187 ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 8 Obs NCGS PCHOL CH4 CH6 CH8 CH9 393 07062 193 189 . 232 211 394 07063 269 . . . . 395 07065 230 228 266 . . 396 07066 222 333 285 313 259 397 07067 334 295 361 372 . 398 07069 165 142 188 192 200 399 07070 295 230 294 275 318 400 07071 202 214 192 239 172 401 07072 180 195 200 220 196 402 07073 184 192 205 253 217 403 07074 275 219 291 261 262 404 07076 189 215 203 192 224 405 07078 302 276 237 313 310 406 07080 228 228 279 . . 407 07081 365 . . . . 408 07082 256 264 237 276 282 409 07083 238 272 297 282 251 410 07084 209 200 269 233 . 411 07085 284 281 308 289 289 412 07086 161 171 156 207 157 413 07088 262 274 245 275 278 414 07090 180 177 195 227 204 415 07091 212 216 228 221 223 416 07092 285 292 300 319 277 417 07094 206 169 245 243 200 418 07095 294 300 275 284 321 419 07097 163 162 327 . . 420 07098 252 . . . . 421 07100 222 240 204 288 217 422 07101 239 180 174 . . 423 07103 224 213 219 222 234 424 07105 263 283 248 334 271 425 07106 277 317 344 . . 426 07107 204 291 253 256 257 427 07112 220 221 211 196 194 428 07113 225 242 185 206 186 429 08001 207 221 206 234 209 430 08002 288 251 . . . 431 08003 268 . . . . 432 08005 270 221 258 200 251 433 08006 262 250 267 300 307 434 09002 214 201 219 226 216 435 09004 262 299 264 287 286 436 09005 205 252 243 234 231 437 09006 200 . . . . 438 09007 253 244 . . . 439 09008 246 262 227 240 234 440 09010 265 349 329 286 289 441 09012 212 270 167 181 165 442 09013 233 230 239 251 239 443 09014 165 168 155 168 182 444 09015 269 271 . . . 445 09016 250 211 231 211 225 446 09019 263 282 . . . 447 09021 317 276 283 289 305 448 09022 251 238 288 . 291 ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 9 Obs NCGS PCHOL CH4 CH6 CH8 CH9 449 09023 227 241 270 246 . 450 09024 169 231 195 196 161 451 09026 262 232 236 226 232 452 09027 144 226 261 227 283 453 09028 168 140 182 168 158 454 09030 326 249 . . . 455 09032 229 229 237 229 239 456 09034 245 267 308 279 288 457 09036 196 172 199 176 162 458 09038 242 192 295 259 245 459 09039 294 220 284 336 396 460 09040 203 218 216 198 219 461 09042 179 224 307 342 311 462 09044 254 229 225 . 233 463 09047 249 222 255 248 251 464 09049 227 216 221 216 232 465 09050 228 232 275 255 238 466 09051 268 251 261 267 283 467 09052 314 342 341 317 365 468 09054 166 171 166 186 220 469 09055 154 180 175 169 153 470 09056 227 . 209 244 223 471 09057 220 232 263 243 269 472 09059 208 189 . . . 473 09061 193 199 190 215 219 474 09062 220 272 222 246 253 475 09063 236 276 270 . . 476 09064 249 250 . . . 477 09066 208 252 286 311 292 478 09067 245 . . . . 479 09068 204 211 238 . 222 480 09069 221 237 251 250 221 481 09070 226 232 257 286 285 482 09073 241 263 244 261 250 483 09074 179 166 172 160 164 484 09076 136 171 186 193 159 485 09077 197 220 194 258 214 486 10001 247 299 278 297 278 487 10002 186 223 182 211 245 488 10004 263 . . . . 489 11003 247 276 295 309 287 490 11004 260 304 257 280 288 491 11005 211 . . . . 492 11006 260 285 324 229 240 493 11007 189 . . . . 494 11009 231 265 291 275 242 495 11011 318 261 289 296 272 496 11013 150 159 138 153 161 497 11014 181 221 . . . 498 11015 235 238 254 241 243 499 11018 234 225 211 222 186 500 11019 167 212 261 . . 501 11020 172 207 208 206 182 502 11021 181 253 230 226 206 503 11022 234 225 251 279 . 504 11023 154 206 194 208 205 ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 10 Obs NCGS PCHOL CH4 CH6 CH8 CH9 505 11026 211 226 229 212 211 506 11028 251 296 276 261 291 507 11029 225 260 253 202 265 508 11030 208 243 210 170 167 509 11033 205 184 243 261 238 510 11034 279 241 295 257 291 511 11036 201 257 244 275 251 512 11037 179 206 214 189 250 513 11038 233 220 . . . 514 11039 234 288 308 . . 515 11040 185 208 188 219 205 516 11043 200 261 264 300 . 517 11044 246 253 244 295 231 518 11045 232 311 315 277 285 519 11046 299 298 272 289 252 520 11047 195 232 213 226 . 521 11048 298 280 280 328 318 522 11049 179 221 209 243 . 523 11050 288 246 257 320 293 524 11052 254 287 254 263 232 525 11053 195 204 203 202 258 526 11054 224 273 242 274 . 527 11055 271 258 287 274 313 528 11056 175 214 . . . 529 11057 270 296 343 297 337 530 11058 184 203 231 197 176 531 11061 234 232 274 242 285 532 11062 194 221 . . . 533 11064 276 266 270 295 256 534 11065 276 . . . . 535 11067 234 207 230 186 242 536 11068 325 375 . . . 537 11070 307 252 316 258 283 538 11074 221 232 237 266 297 539 11078 290 264 260 . . 540 11080 227 208 254 214 273 541 11081 313 300 313 317 397 542 11083 242 268 . . . 543 11084 224 207 215 196 220 544 11086 214 207 225 . 283 545 11087 238 267 269 268 280 546 11089 224 230 227 296 265 547 11090 266 256 231 269 265 548 11091 247 . . . . 549 11093 198 219 207 233 . 550 11094 212 237 219 . . 551 11095 223 203 . . . 552 11096 231 252 267 299 . 553 11098 207 210 226 213 . 554 11099 172 180 216 183 . 555 11100 197 160 189 198 . 556 12002 236 312 306 . . 557 12003 232 . . . . 558 12006 216 207 . . . 559 12009 206 247 231 215 226 560 12010 177 205 . . . ------------------------------------------------------------------------------------------------------------------------------------ The SAS System 21:58 Tuesday, April 29, 2003 11 Obs NCGS PCHOL CH4 CH6 CH8 CH9 561 12011 306 279 294 286 294 562 12012 290 . . . . 563 12013 301 337 308 283 277 564 12014 206 177 194 194 212 565 12015 200 160 167 159 192 566 12016 199 238 199 207 216 567 12017 225 236 227 251 249 568 12020 243 256 256 320 272 569 12021 275 . . . . 570 12022 159 201 131 190 180 571 12023 212 253 225 . . 572 12025 296 . . . . 573 12026 212 178 212 216 183 574 12027 187 199 207 228 222 575 12029 191 208 162 218 206 576 12031 212 247 248 281 262 577 12033 153 194 186 189 180 578 12034 147 . . . . 579 12036 229 233 254 230 223 580 12037 186 211 236 234 267 581 12039 195 188 216 182 211 582 12040 250 269 . . . 583 12041 265 274 321 306 331 584 12042 345 295 339 . . 585 12043 256 268 212 264 298 586 12045 226 242 249 220 282 587 12046 143 165 . . . 588 12047 192 . 160 180 196 589 12050 261 287 253 266 279 590 12051 218 241 181 223 247 591 12054 209 207 167 . . 592 12055 273 247 303 . . 593 12056 233 208 193 206 216 594 12057 237 274 235 223 . 595 12058 201 219 220 . . 596 12059 285 291 291 268 260 597 12061 219 241 217 238 204 598 12062 295 263 312 . . 599 12064 167 176 177 174 187 600 12065 239 282 221 250 . 601 12067 262 264 233 . . 602 12069 316 . . . . 603 12071 261 232 239 . . 604 12072 185 205 185 181 209 605 12073 174 198 188 208 189 606 12074 287 . . . . 607 12075 202 237 209 207 260 608 12076 248 216 277 265 281 609 12077 192 225 224 . 239 610 12078 263 252 233 236 . ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 12 Unbalanced ANOVA through GLM The GLM Procedure Class Level Information Class Levels Values TRETGRP 2 3 5 Number of observations 610 NOTE: Observations with missing values will not be included in this analysis. Thus, only 416 observations can be used in this analysis. ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 13 Unbalanced ANOVA through GLM The GLM Procedure Dependent Variable: y1 Sum of Source DF Squares Mean Square F Value Pr > F Model 1 288.0822 288.0822 0.14 0.7042 Error 414 826133.4466 1995.4914 Corrected Total 415 826421.5288 R-Square Coeff Var Root MSE y1 Mean 0.000349 18.72730 44.67092 238.5337 Source DF Type I SS Mean Square F Value Pr > F TRETGRP 1 288.0822404 288.0822404 0.14 0.7042 Source DF Type III SS Mean Square F Value Pr > F TRETGRP 1 288.0822404 288.0822404 0.14 0.7042 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 14 Unbalanced ANOVA through GLM The GLM Procedure Dependent Variable: y2 Sum of Source DF Squares Mean Square F Value Pr > F Model 1 1774.2105 1774.2105 0.93 0.3362 Error 414 792403.6260 1914.0184 Corrected Total 415 794177.8365 R-Square Coeff Var Root MSE y2 Mean 0.002234 18.13053 43.74950 241.3029 Source DF Type I SS Mean Square F Value Pr > F TRETGRP 1 1774.210543 1774.210543 0.93 0.3362 Source DF Type III SS Mean Square F Value Pr > F TRETGRP 1 1774.210543 1774.210543 0.93 0.3362 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 15 Unbalanced ANOVA through GLM The GLM Procedure Dependent Variable: y3 Sum of Source DF Squares Mean Square F Value Pr > F Model 1 2879.3666 2879.3666 1.41 0.2353 Error 414 843770.5469 2038.0931 Corrected Total 415 846649.9135 R-Square Coeff Var Root MSE y3 Mean 0.003401 18.30415 45.14524 246.6394 Source DF Type I SS Mean Square F Value Pr > F TRETGRP 1 2879.366606 2879.366606 1.41 0.2353 Source DF Type III SS Mean Square F Value Pr > F TRETGRP 1 2879.366606 2879.366606 1.41 0.2353 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 16 Unbalanced ANOVA through GLM The GLM Procedure Dependent Variable: y4 Sum of Source DF Squares Mean Square F Value Pr > F Model 1 757.0915 757.0915 0.31 0.5756 Error 414 998662.4374 2412.2281 Corrected Total 415 999419.5288 R-Square Coeff Var Root MSE y4 Mean 0.000758 20.01882 49.11444 245.3413 Source DF Type I SS Mean Square F Value Pr > F TRETGRP 1 757.0914644 757.0914644 0.31 0.5756 Source DF Type III SS Mean Square F Value Pr > F TRETGRP 1 757.0914644 757.0914644 0.31 0.5756 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 17 Unbalanced ANOVA through GLM The GLM Procedure Repeated Measures Analysis of Variance Repeated Measures Level Information Dependent Variable y1 y2 y3 y4 Level of y 1 2 3 4 Manova Test Criteria and Exact F Statistics for the Hypothesis of no y Effect H = Type III SSCP Matrix for y E = Error SSCP Matrix S=1 M=0.5 N=205 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.92754815 10.73 3 412 <.0001 Pillai's Trace 0.07245185 10.73 3 412 <.0001 Hotelling-Lawley Trace 0.07811115 10.73 3 412 <.0001 Roy's Greatest Root 0.07811115 10.73 3 412 <.0001 Manova Test Criteria and Exact F Statistics for the Hypothesis of no y*TRETGRP Effect H = Type III SSCP Matrix for y*TRETGRP E = Error SSCP Matrix S=1 M=0.5 N=205 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.99586386 0.57 3 412 0.6348 Pillai's Trace 0.00413614 0.57 3 412 0.6348 Hotelling-Lawley Trace 0.00415332 0.57 3 412 0.6348 Roy's Greatest Root 0.00415332 0.57 3 412 0.6348 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 18 Unbalanced ANOVA through GLM The GLM Procedure Repeated Measures Analysis of Variance Tests of Hypotheses for Between Subjects Effects Source DF Type III SS Mean Square F Value Pr > F TRETGRP 1 4918.875 4918.875 0.73 0.3948 Error 414 2806506.653 6779.002 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 19 Unbalanced ANOVA through GLM The GLM Procedure Repeated Measures Analysis of Variance Univariate Tests of Hypotheses for Within Subject Effects Adj Pr > F Source DF Type III SS Mean Square F Value Pr > F G - G H - F y 3 17602.3779 5867.4593 11.13 <.0001 <.0001 <.0001 y*TRETGRP 3 779.8755 259.9585 0.49 0.6870 0.6802 0.6821 Error(y) 1242 654463.4034 526.9432 Greenhouse-Geisser Epsilon 0.9645 Huynh-Feldt Epsilon 0.9744 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 20 Unbalanced ANOVA through GLM The GLM Procedure Multivariate Analysis of Variance Characteristic Roots and Vectors of: E Inverse * H, where H = Type III SSCP Matrix for TRETGRP E = Error SSCP Matrix Characteristic Characteristic Vector V'EV=1 Root Percent y1 y2 y3 y4 0.00610640 100.00 -0.00096632 0.00081965 0.00142191 -0.00059164 0.00000000 0.00 0.00137085 -0.00020171 -0.00034993 0.00014560 0.00000000 0.00 -0.00072883 -0.00055080 -0.00018335 0.00165033 0.00000000 0.00 0.00032214 -0.00179956 0.00131071 0.00000000 MANOVA Test Criteria and Exact F Statistics for the Hypothesis of No Overall TRETGRP Effect H = Type III SSCP Matrix for TRETGRP E = Error SSCP Matrix S=1 M=1 N=204.5 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.99393066 0.63 4 411 0.6432 Pillai's Trace 0.00606934 0.63 4 411 0.6432 Hotelling-Lawley Trace 0.00610640 0.63 4 411 0.6432 Roy's Greatest Root 0.00610640 0.63 4 411 0.6432 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 21 Unbalanced ANOVA through GLM The GLM Procedure Level of ------------y1------------ ------------y2------------ ------------y3------------ ------------y4------------ TRETGRP N Mean Std Dev Mean Std Dev Mean Std Dev Mean Std Dev 3 187 239.454545 43.4593101 243.588235 40.3778720 249.550802 42.1301279 246.834225 49.2587998 5 229 237.781659 45.6355261 239.436681 46.3186111 244.262009 47.4632951 244.122271 48.9963558 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 22 Unbalanced ANOVA through GLM The GLM Procedure Least Squares Means TRETGRP y1 LSMEAN y2 LSMEAN y3 LSMEAN y4 LSMEAN 3 239.454545 243.588235 249.550802 246.834225 5 237.781659 239.436681 244.262009 244.122271 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 23 Unbalanced ANOVA through GLM Obs NCGS TRETGRP X Y TIME XTIME 1 01002 5 251 262 0 0 2 01002 5 251 239 6 1506 3 01002 5 251 234 14 3514 4 01002 5 251 248 18 4518 5 01003 5 230 298 0 0 6 01003 5 230 263 6 1380 7 01003 5 230 304 14 3220 8 01003 5 230 281 18 4140 9 01004 3 221 218 0 0 10 01004 3 221 208 6 1326 11 01004 3 221 250 14 3094 12 01004 3 221 255 18 3978 13 01006 5 210 220 0 0 14 01006 5 210 226 6 1260 15 01006 5 210 227 14 2940 16 01006 5 210 250 18 3780 17 01007 5 186 203 0 0 18 01007 5 186 229 6 1116 19 01007 5 186 207 14 2604 20 01007 5 186 242 18 3348 21 01008 3 178 246 0 0 22 01008 3 178 295 6 1068 23 01008 3 178 228 14 2492 24 01008 3 178 274 18 3204 25 01009 3 200 276 0 0 26 01009 3 200 256 6 1200 27 01009 3 200 289 14 2800 28 01009 3 200 291 18 3600 29 01010 3 163 181 0 0 30 01010 3 163 199 6 978 31 01010 3 163 197 14 2282 32 01010 3 163 216 18 2934 33 01011 3 187 260 0 0 34 01011 3 187 202 6 1122 35 01011 3 187 258 14 2618 36 01011 3 187 319 18 3366 37 01013 5 171 188 0 0 38 01013 5 171 . 6 1026 39 01013 5 171 . 14 2394 40 01013 5 171 . 18 3078 41 01014 5 239 298 0 0 42 01014 5 239 308 6 1434 43 01014 5 239 310 14 3346 44 01014 5 239 267 18 4302 45 01015 5 213 257 0 0 46 01015 5 213 199 6 1278 47 01015 5 213 243 14 2982 48 01015 5 213 166 18 3834 49 01018 3 221 227 0 0 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 24 regression on baseline The REG Procedure Model: MODEL1 Dependent Variable: Y Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 2164286 2164286 2162.47 <.0001 Error 1955 1956639 1000.83820 Corrected Total 1956 4120925 Root MSE 31.63603 R-Square 0.5252 Dependent Mean 243.22637 Adj R-Sq 0.5250 Coeff Var 13.00682 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 70.01579 3.79280 18.46 <.0001 X 1 0.75438 0.01622 46.50 <.0001 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 25 regression on baseline The REG Procedure Model: MODEL1 Dependent Variable: Y Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2184702 1092351 1102.38 <.0001 Error 1954 1936222 990.90190 Corrected Total 1956 4120925 Root MSE 31.47859 R-Square 0.5301 Dependent Mean 243.22637 Adj R-Sq 0.5297 Coeff Var 12.94210 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 69.66441 3.77471 18.46 <.0001 X 1 0.73858 0.01651 44.73 <.0001 XTIME 1 0.00198 0.00043540 4.54 <.0001 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 26 homogeneous mixed model analysis using maximum likelihood unstructured covariance matrix The Mixed Procedure Model Information Data Set WORK.ONE Dependent Variable Y Covariance Structure Unstructured Subject Effect NCGS Estimation Method ML Residual Variance Method None Fixed Effects SE Method Model-Based Degrees of Freedom Method Between-Within ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 27 homogeneous mixed model analysis using maximum likelihood unstructured covariance matrix The Mixed Procedure Class Level Information Class Levels Values NCGS 610 01002 01003 01004 01006 01007 01008 01009 01010 01011 01013 01014 01015 01018 01019 01020 01021 01023 01026 01027 01029 01030 01032 01033 01034 01036 01037 01041 01042 01043 01044 01045 01046 01053 01054 01056 01058 01060 01061 01063 01064 01065 01066 01068 01069 01070 01071 01072 01073 01074 01075 01079 01081 01082 01084 01085 01087 01088 01089 01091 01092 01096 01098 01099 01101 01102 01103 01105 01107 01108 01110 01111 01112 01114 01115 02002 02003 02004 02005 02007 02009 02010 02012 02013 02014 02015 02016 02019 02020 02021 02023 02024 02027 02029 02030 02031 02032 02033 02034 02035 02036 02038 02039 02040 02043 02044 02045 02046 02048 02049 02051 02054 02056 02057 02058 02060 02062 02063 02064 02066 02068 02071 02073 02074 02075 02077 02078 02080 02081 02082 02083 02084 02087 02088 02090 02096 02097 02099 02100 02101 03001 03002 03003 03004 03006 03007 03008 03010 03011 03012 03014 03017 03019 03020 03021 03022 03026 03034 03035 03036 03037 03038 03039 03040 03043 03044 03045 03046 03047 03048 03049 03050 03053 03056 03057 03058 03060 03062 03063 03064 03066 03069 03070 03074 04001 04002 04003 04004 04007 04008 04011 04012 04014 04015 04017 04018 04019 04020 04023 04025 04026 04029 04030 04031 04033 04034 04037 04038 04039 04040 04041 04042 04043 04044 04046 04051 04052 04054 04055 04057 04058 04059 04060 04061 04062 04063 04064 04066 04067 04068 04070 04071 04074 04076 04077 04078 04079 04080 04082 04083 04084 04085 04086 05001 05004 05005 05006 05008 05009 05011 05012 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 28 homogeneous mixed model analysis using maximum likelihood unstructured covariance matrix The Mixed Procedure 05013 05014 05016 05019 05020 05022 05023 05024 05025 05026 05027 05028 05029 05032 05033 05034 05035 05036 05038 05040 05041 05044 05045 05046 05048 05049 05051 05053 05057 05059 05060 05061 05062 05064 05066 05068 05069 05070 05071 05072 05075 05076 06001 06004 06006 06007 06010 06011 06012 06013 06014 06015 06017 06018 06019 06021 06022 06023 06024 06025 06026 06027 06029 06030 06033 06034 06035 06036 06039 06043 06044 06048 06049 06050 06051 06054 06055 06056 06057 06059 06060 06061 06062 06063 06064 06065 06068 06071 06073 06074 06076 06078 06079 06080 06081 06082 06083 06084 06085 06087 06088 06090 07001 07002 07003 07004 07010 07011 07012 07013 07014 07015 07017 07018 07019 07020 07021 07022 07023 07024 07026 07027 07029 07030 07032 07033 07036 07039 07040 07041 07043 07044 07045 07046 07047 07048 07049 07051 07052 07054 07056 07057 07062 07063 07065 07066 07067 07069 07070 07071 07072 07073 07074 07076 07078 07080 07081 07082 07083 07084 07085 07086 07088 07090 07091 07092 07094 07095 07097 07098 07100 07101 07103 07105 07106 07107 07112 07113 08001 08002 08003 08005 08006 09002 09004 09005 09006 09007 09008 09010 09012 09013 09014 09015 09016 09019 09021 09022 09023 09024 09026 09027 09028 09030 09032 09034 09036 09038 09039 09040 09042 09044 09047 09049 09050 09051 09052 09054 09055 09056 09057 09059 09061 09062 09063 09064 09066 09067 09068 09069 09070 09073 09074 09076 09077 10001 10002 10004 11003 11004 11005 11006 11007 11009 11011 11013 11014 11015 11018 11019 11020 11021 11022 11023 11026 11028 11029 11030 11033 11034 11036 11037 11038 11039 11040 11043 11044 11045 11046 11047 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 29 homogeneous mixed model analysis using maximum likelihood unstructured covariance matrix The Mixed Procedure 11048 11049 11050 11052 11053 11054 11055 11056 11057 11058 11061 11062 11064 11065 11067 11068 11070 11074 11078 11080 11081 11083 11084 11086 11087 11089 11090 11091 11093 11094 11095 11096 11098 11099 11100 12002 12003 12006 12009 12010 12011 12012 12013 12014 12015 12016 12017 12020 12021 12022 12023 12025 12026 12027 12029 12031 12033 12034 12036 12037 12039 12040 12041 12042 12043 12045 12046 12047 12050 12051 12054 12055 12056 12057 12058 12059 12061 12062 12064 12065 12067 12069 12071 12072 12073 12074 12075 12076 12077 12078 TRETGRP 2 3 5 Dimensions Covariance Parameters 10 Columns in X 4 Columns in Z 0 Subjects 610 Max Obs Per Subject 4 Observations Used 1957 Observations Not Used 483 Total Observations 2440 Iteration History Iteration Evaluations -2 Log Like Criterion 0 1 19033.45810347 1 2 18574.68186184 0.00000490 2 1 18574.64469358 0.00000000 Convergence criteria met. Estimated R Matrix for NCGS 01002 Row Col1 Col2 Col3 Col4 1 864.03 369.26 370.69 362.58 2 369.26 924.85 456.17 583.57 3 370.69 456.17 966.71 577.94 4 362.58 583.57 577.94 1252.85 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 30 homogeneous mixed model analysis using maximum likelihood unstructured covariance matrix The Mixed Procedure Covariance Parameter Estimates Cov Parm Subject Estimate UN(1,1) NCGS 864.03 UN(2,1) NCGS 369.26 UN(2,2) NCGS 924.85 UN(3,1) NCGS 370.69 UN(3,2) NCGS 456.17 UN(3,3) NCGS 966.71 UN(4,1) NCGS 362.58 UN(4,2) NCGS 583.57 UN(4,3) NCGS 577.94 UN(4,4) NCGS 1252.85 Fit Statistics -2 Log Likelihood 18574.6 AIC (smaller is better) 18600.6 AICC (smaller is better) 18600.8 BIC (smaller is better) 18658.0 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 9 458.81 <.0001 Solution for Fixed Effects Standard Effect TRETGRP Estimate Error DF t Value Pr > |t| Intercept 65.3820 5.5164 558 11.85 <.0001 TRETGRP 3 8.3148 2.0443 558 4.07 <.0001 TRETGRP 5 0 . . . . X 0.7512 0.02295 558 32.73 <.0001 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F TRETGRP 1 558 16.54 <.0001 X 1 558 1071.35 <.0001 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 31 homogeneous mixed model analysis using maximum likelihood unstructured covariance matrix The Mixed Procedure Least Squares Means Standard Effect TRETGRP Estimate Error DF t Value Pr > |t| TRETGRP 3 246.19 1.4443 558 170.45 <.0001 TRETGRP 5 237.87 1.4456 558 164.55 <.0001 Differences of Least Squares Means Standard Effect TRETGRP _TRETGRP Estimate Error DF t Value Pr > |t| TRETGRP 3 5 8.3148 2.0443 558 4.07 <.0001 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 32 homogeneous mixed model analysis using maximum likelihood compound symmetry covariance matrix The Mixed Procedure Model Information Data Set WORK.ONE Dependent Variable Y Covariance Structure Compound Symmetry Subject Effect NCGS Estimation Method ML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Between-Within ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 33 homogeneous mixed model analysis using maximum likelihood compound symmetry covariance matrix The Mixed Procedure Class Level Information Class Levels Values NCGS 610 01002 01003 01004 01006 01007 01008 01009 01010 01011 01013 01014 01015 01018 01019 01020 01021 01023 01026 01027 01029 01030 01032 01033 01034 01036 01037 01041 01042 01043 01044 01045 01046 01053 01054 01056 01058 01060 01061 01063 01064 01065 01066 01068 01069 01070 01071 01072 01073 01074 01075 01079 01081 01082 01084 01085 01087 01088 01089 01091 01092 01096 01098 01099 01101 01102 01103 01105 01107 01108 01110 01111 01112 01114 01115 02002 02003 02004 02005 02007 02009 02010 02012 02013 02014 02015 02016 02019 02020 02021 02023 02024 02027 02029 02030 02031 02032 02033 02034 02035 02036 02038 02039 02040 02043 02044 02045 02046 02048 02049 02051 02054 02056 02057 02058 02060 02062 02063 02064 02066 02068 02071 02073 02074 02075 02077 02078 02080 02081 02082 02083 02084 02087 02088 02090 02096 02097 02099 02100 02101 03001 03002 03003 03004 03006 03007 03008 03010 03011 03012 03014 03017 03019 03020 03021 03022 03026 03034 03035 03036 03037 03038 03039 03040 03043 03044 03045 03046 03047 03048 03049 03050 03053 03056 03057 03058 03060 03062 03063 03064 03066 03069 03070 03074 04001 04002 04003 04004 04007 04008 04011 04012 04014 04015 04017 04018 04019 04020 04023 04025 04026 04029 04030 04031 04033 04034 04037 04038 04039 04040 04041 04042 04043 04044 04046 04051 04052 04054 04055 04057 04058 04059 04060 04061 04062 04063 04064 04066 04067 04068 04070 04071 04074 04076 04077 04078 04079 04080 04082 04083 04084 04085 04086 05001 05004 05005 05006 05008 05009 05011 05012 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 34 homogeneous mixed model analysis using maximum likelihood compound symmetry covariance matrix The Mixed Procedure 05013 05014 05016 05019 05020 05022 05023 05024 05025 05026 05027 05028 05029 05032 05033 05034 05035 05036 05038 05040 05041 05044 05045 05046 05048 05049 05051 05053 05057 05059 05060 05061 05062 05064 05066 05068 05069 05070 05071 05072 05075 05076 06001 06004 06006 06007 06010 06011 06012 06013 06014 06015 06017 06018 06019 06021 06022 06023 06024 06025 06026 06027 06029 06030 06033 06034 06035 06036 06039 06043 06044 06048 06049 06050 06051 06054 06055 06056 06057 06059 06060 06061 06062 06063 06064 06065 06068 06071 06073 06074 06076 06078 06079 06080 06081 06082 06083 06084 06085 06087 06088 06090 07001 07002 07003 07004 07010 07011 07012 07013 07014 07015 07017 07018 07019 07020 07021 07022 07023 07024 07026 07027 07029 07030 07032 07033 07036 07039 07040 07041 07043 07044 07045 07046 07047 07048 07049 07051 07052 07054 07056 07057 07062 07063 07065 07066 07067 07069 07070 07071 07072 07073 07074 07076 07078 07080 07081 07082 07083 07084 07085 07086 07088 07090 07091 07092 07094 07095 07097 07098 07100 07101 07103 07105 07106 07107 07112 07113 08001 08002 08003 08005 08006 09002 09004 09005 09006 09007 09008 09010 09012 09013 09014 09015 09016 09019 09021 09022 09023 09024 09026 09027 09028 09030 09032 09034 09036 09038 09039 09040 09042 09044 09047 09049 09050 09051 09052 09054 09055 09056 09057 09059 09061 09062 09063 09064 09066 09067 09068 09069 09070 09073 09074 09076 09077 10001 10002 10004 11003 11004 11005 11006 11007 11009 11011 11013 11014 11015 11018 11019 11020 11021 11022 11023 11026 11028 11029 11030 11033 11034 11036 11037 11038 11039 11040 11043 11044 11045 11046 11047 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 35 homogeneous mixed model analysis using maximum likelihood compound symmetry covariance matrix The Mixed Procedure 11048 11049 11050 11052 11053 11054 11055 11056 11057 11058 11061 11062 11064 11065 11067 11068 11070 11074 11078 11080 11081 11083 11084 11086 11087 11089 11090 11091 11093 11094 11095 11096 11098 11099 11100 12002 12003 12006 12009 12010 12011 12012 12013 12014 12015 12016 12017 12020 12021 12022 12023 12025 12026 12027 12029 12031 12033 12034 12036 12037 12039 12040 12041 12042 12043 12045 12046 12047 12050 12051 12054 12055 12056 12057 12058 12059 12061 12062 12064 12065 12067 12069 12071 12072 12073 12074 12075 12076 12077 12078 TRETGRP 2 3 5 Dimensions Covariance Parameters 2 Columns in X 4 Columns in Z 0 Subjects 610 Max Obs Per Subject 4 Observations Used 1957 Observations Not Used 483 Total Observations 2440 Iteration History Iteration Evaluations -2 Log Like Criterion 0 1 19033.45810347 1 2 18616.30372680 0.00000000 Convergence criteria met. Estimated R Matrix for NCGS 01002 Row Col1 Col2 Col3 Col4 1 978.61 432.37 432.37 432.37 2 432.37 978.61 432.37 432.37 3 432.37 432.37 978.61 432.37 4 432.37 432.37 432.37 978.61 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 36 homogeneous mixed model analysis using maximum likelihood compound symmetry covariance matrix The Mixed Procedure Covariance Parameter Estimates Cov Parm Subject Estimate CS NCGS 432.37 Residual 546.24 Fit Statistics -2 Log Likelihood 18616.3 AIC (smaller is better) 18626.3 AICC (smaller is better) 18626.3 BIC (smaller is better) 18648.4 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 1 417.15 <.0001 Solution for Fixed Effects Standard Effect TRETGRP Estimate Error DF t Value Pr > |t| Intercept 65.4867 5.6153 558 11.66 <.0001 TRETGRP 3 8.4675 2.0774 558 4.08 <.0001 TRETGRP 5 0 . . . . X 0.7547 0.02337 558 32.29 <.0001 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F TRETGRP 1 558 16.61 <.0001 X 1 558 1042.51 <.0001 Least Squares Means Standard Effect TRETGRP Estimate Error DF t Value Pr > |t| TRETGRP 3 247.23 1.4730 558 167.84 <.0001 TRETGRP 5 238.76 1.4634 558 163.16 <.0001 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 37 homogeneous mixed model analysis using maximum likelihood compound symmetry covariance matrix The Mixed Procedure Differences of Least Squares Means Standard Effect TRETGRP _TRETGRP Estimate Error DF t Value Pr > |t| TRETGRP 3 5 8.4675 2.0774 558 4.08 <.0001 ------------------------------------------------------------------------------------------------------------------------------------ REPEATED MEASURES ANALYSIS of cholesterol levels 21:58 Tuesday, April 29, 2003 38 mixed model analysis with Quantitative time effects with interactions The Mixed Procedure Model Information Data Set WORK.ONE Dependent Variable Y Covariance Structure Unstructured Subject Effect NCGS Estimation Method ML Residual Variance Method None Fixed Effects SE Method Model-Based Degrees of Freedom Method Between-Within ------------------------------------------------------------------------------------------------------------------------------------