SCENARIO 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below:
Below is the Excel output for the randomized block design:

-Referring to Scenario 11-8,the relative efficiency means that 15.23 times as many observations in each brand would be needed in a one-way ANOVA design as compared to the randomized block design in order to obtain the same precision for comparison of the different means.

Question

SCENARIO 11-8
An important factor in selecting database software is the time required for a user to learn how to use the system.To evaluate three potential brands (A,B and C)of database software,a company designed a test involving five different employees.To reduce variability due to differences among employees,each of the five employees is trained on each of the three different brands.The amount of time (in hours)needed to learn each of the three different brands is given below:
  Below is the Excel output for the randomized block design:
  
-Referring to Scenario 11-8,the relative efficiency means that 15.23 times as many observations in each brand would be needed in a one-way ANOVA design as compared to the randomized block design in order to obtain the same precision for comparison of the different means.

Quizplus · Accepted Answer

The relative efficiency in this context indicates how much more efficient one statistical design is over another in terms of the number of observations needed to achieve the same level of precision. A relative efficiency of 15.23 means that the one-way ANOVA would require 15.23 times more observations than the randomized block design to achieve the same precision in comparing means, highlighting the greater efficiency of the randomized block design for this scenario.

SCENARIO 11-8 An Important Factor in Selecting Database Software Is the Time