Reference no: EM132855736

Experiment design:

A steel manufacturer wanted to study the effect that four sizes of roller gaps, (2 cm, 4 cm, 6 cm, 8 cm), have on a steel manufacturing process with respect to the tensile strength (lbs/in2) of the steel obtained from five different blended alloys (A1;A2;A3;A4;A5). The process consisted of taking a batch of metal from one of the Alloys, dividing the batch into 4 equal portions, and rolling one of the portions with each of the roller gaps. The tensile strength was then determined for the resulting rolled steel. This was repeated for each of the five alloys. The order in which the roller gaps were implemented was randomized for each batch of alloy and the order in which the alloys were run was randomized. Only twenty runs could be accomplished during a single day. The researcher was thus able to observe all five alloys under each of the four roller gaps during a single day. The whole process was repeated on three consecutive days. The carbon content of the alloy may have an affect on the tensile strength of the rolled steel. Therefore, the carbon content of each batch was measured prior to the rolling of the steel.

Questions: Identify these components:

1. Type of Randomization: CRD, RCBD, LSD, Split-Plot, Crossover, etc.

2. Type of Treatment Structure: single factor, crossed, nested, fractional, etc.

3. Identify each of the Factors as being Fixed or Random:

4. Describe the Experimental Units and Measurement Units:

5. Describe the Measurement Process: Response Variable, Covariates, SubSampling, Repeated Measures