14-5. An article inTechnometrics, “Exact analysis of means with unequalvariances

Question

14-5. An article inTechnometrics, “Exact analysis of means with unequalvariances” (2002, Vol. 44, pp. 152–160) described thetechnique of the analysis of means (ANOM) and presented the resultsof an experiment on insulation. Four insulation types were testedat three different temperatures. The data are as follows:

Hint for #14-5(e): You’ll find in (b) only one significantmain effect, insulation type. You can fit a new model for (e) withinsulation type as the only indep variable with 4 levels and 18replicates and perform LSD test.








Temperature (F)



Insulation 1 2 3
6.6 4 4.5 2.2 2.3 0.9
2.7 6.2 5.5 2.7 5.6 4.9 1 6 5 4.8 5.8 2.2 3.4
3 3.2 3 1.5 1.3 3.3
2.1 4.1 2.5 2.6 0.5 1.1 2 5.9 2.5 0.4 3.5 1.7 0.1
5.7 4.4 8.9 7.7 2.6 9.9
3.2 3.2 7 7.3 11.5 10.5 3 5.3 9.7 8 2.2 3.4 6.7
7 8.9 12 9.7 8.3 8
7.3 9 8.5 10.8 10.4 9.7 4 8.6 11.3 7.9 7.3 10.6 7.4






(a) Write down a model for this experiment.







(b) Test the appropriate hypotheses and drawconclusions using the analysis of variance with = 0.05.






(c) Graphically analyze the interaction.








(d) Analyze the residuals from the experiment.







(e) Use Fisher’s LSD method to investigate thedifferences between mean effects of insulation type. Use =0.05. 14-5. An article inTechnometrics, “Exact analysis of means with unequalvariances” (2002, Vol. 44, pp. 152–160) described thetechnique of the analysis of means (ANOM) and presented the resultsof an experiment on insulation. Four insulation types were testedat three different temperatures. The data are as follows:

Hint for #14-5(e): You’ll find in (b) only one significantmain effect, insulation type. You can fit a new model for (e) withinsulation type as the only indep variable with 4 levels and 18replicates and perform LSD test.








Temperature (F)



Insulation 1 2 3
6.6 4 4.5 2.2 2.3 0.9
2.7 6.2 5.5 2.7 5.6 4.9 1 6 5 4.8 5.8 2.2 3.4
3 3.2 3 1.5 1.3 3.3
2.1 4.1 2.5 2.6 0.5 1.1 2 5.9 2.5 0.4 3.5 1.7 0.1
5.7 4.4 8.9 7.7 2.6 9.9
3.2 3.2 7 7.3 11.5 10.5 3 5.3 9.7 8 2.2 3.4 6.7
7 8.9 12 9.7 8.3 8
7.3 9 8.5 10.8 10.4 9.7 4 8.6 11.3 7.9 7.3 10.6 7.4






(a) Write down a model for this experiment.







(b) Test the appropriate hypotheses and drawconclusions using the analysis of variance with = 0.05.






(c) Graphically analyze the interaction.








(d) Analyze the residuals from the experiment.







(e) Use Fisher’s LSD method to investigate thedifferences between mean effects of insulation type. Use =0.05.

Explanation / Answer

14-5. An article inTechnometrics, “Exact analysis of means with unequalvariances

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