Do we reject HO? That is, are there differences among the 5 machine means? How do you arrive at your conclusion?

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Below is the homework problem for which you should submit your answer:

The Data for Module 4 Assignment Excel workbook has this data;

• Y = Fiber strength (grams/denier)

• X = Spinning machine used to make the fiber (A, B, C, D, or E)

Note each machine was sampled and tested once in each of 36 consecutive 8-hour shifts.

We are interested in the following hypotheses:

HO:  Mean strength is the same across all machines

HA:  Mean strength is different for at least one machine

Part 1:  Analyze this data as a CRD (Completely Randomized Design) using JMP’s Fit Y by X procedure).   Include the key JMP outputs in your response to these three questions.

1. Do we reject HO?  That is, are there differences among the 5 machine means?  How do you arrive at your conclusion?  

2. Perform multiple comparisons (both “All Pairs, Tukey’s HSD” and “Each Pair, Student’s t”) to determine which machine means are different from each other.  Comment on the difference between these two procedures.

3. Review and comment on model adequacy as well as residual plots.

Part 2:  Reanalyze this data as a RCBD (Randomized Complete Block Design), using JMP’s Fit Model procedure with Shift as your blocking variable.  

Note:  When importing this data from Excel, JMP will “guess” the “Data Type” and “Modeling Type” for each variable.  You should change the Modeling Type for the “Shift” column from “Continuous” to “Nominal” in the “Column Info” menu to get the proper RCBD analysis.

Again, answer the three questions below, including key output in your response.

4. Do we reject HO?  That is, are there differences among the 5 machine means?  How do you arrive at your conclusion?

5. Perform multiple comparisons (both “All Pairs, Tukey’s HSD” and “Each Pair, Student’s t”) to determine which machine means are different from each other.  How do your answers compare to the previous (CRD) analysis?

6. Review and comment on model adequacy as well as residual plots.

 

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