4.3. Randomized Complete Block Design (RCBD) vs Completely Randomized Design (CRD)

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[Data DOEM4.4] Hydration is one of the most important factors that affect performances in prolonged physical activities/training/sports. A study was conducted to determine the effect of sports drinks as compared to water on performances. To study the effect of hydration on performances, the researcher is using cyclists from two different cycling clubs. These two cycling clubs have some distinctive training and riding styles, which may add some variations in the study. Therefore, the researcher wants to control this unwanted variation in the experiment. As the drinks are primarily needed for longer rides, the study uses a 100-mile ride for the study, and the performances of the cyclists were measured in average riding speed in miles per hour. If the cycling club factor were not included in the study, what statistical method/test would you be able to use to answer the same research question?

10 points

Two sample t-test

Two sample z-test

Two sample paired t-test

Two sample population test

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[Data DOEM4.4] Hydration is one of the most important factors that affect performances in prolonged physical activities/training/sports. A study was conducted to determine the effect of sports drinks as compared to water on performances. To study the effect of hydration on performances, the researcher is using cyclists from two different cycling clubs. These two cycling clubs have some distinctive training and riding styles, which may add some variations in the study. Therefore, the researcher wants to control this unwanted variation in the experiment. As the drinks are primarily needed for longer rides, the study uses a 100-mile ride for the study, and the performances of the cyclists were measured in average riding speed in miles per hour. What would be the amount of mean square error (experimental) reduction between the model using the hydration factor only, and the model using hydration with the cycling club block factor?

10 points

Over 50%

-2.5%

Over 90%

+2.5%

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[Data DOEM4.4] Hydration is one of the most important factors that affect performances in prolonged physical activities/training/sports. A study was conducted to determine the effect of sports drinks as compared to water on performances. To study the effect of hydration on performances, the researcher is using cyclists from two different cycling clubs. These two cycling clubs have some distinctive training and riding styles, which may add some variations in the study. Therefore, the researcher wants to control this unwanted variation in the experiment. As the drinks are primarily needed for longer rides, the study uses a 100-mile ride for the study, and the performances of the cyclists were measured in average riding speed in miles per hour. What would be an interpretation for a negative error reduction in a block design?

10 points

Experimental units are highly non-homogenous between the block

A major experimental design issue

Experimental units are highly homogenous between the block

A negative error is only possible if there is a calculation mistake

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