Rework Problem 13-16 using the unrestricted form of the mixed model. You may use a computer software package to do this. Comment on any differences between the restricted and unrestricted model analysis and conclusions.

Problem 13-16

A structural engineer is studying the strength of aluminum alloy purchased from three vendors. Each vendor submits the alloy in standard-sized bars of 1.0, 1.5, or 2.0 inches. The processing of different sizes of bar stock from a common ingot involves different forging techniques, and so this factor may be important. Furthermore, the bar stock is forged from ingots made in different heats. Each vendor submits two test specimens of each size bar stock from three heats. The resulting strength data follow. Analyze the data, assuming that vendors and bar size are fixed and heats are random. Use the restricted form of the mixed model.

Transcribed Image Text:

Vendor 1 Vendor 2 Vendor 3 Heat 1 2 3 1 2 3 1 2 Bar size: 1 inch 1.230 1.346 1.235 1.301 1.346 1.315 1.247 1.275 1.324 1.259 1.400 1.206 1.263 1.392 1.320 1.296 1.268 1.315 1 inch 1.316 1.329 1.250 1.274 1.384 1.346 1.273 1.260 1.392 1.300 1.362 1.239 1.268 1.375 1.357 1.264 1.265 1.364 2 inch 1.287 1.346 1.273 1.247 1.362 1.336 1.301 1.280 1.319 1.292 1.382 1.215 1.215 1.328 1.342 1.262 1.271 1.323