Question Help Which of the following is NOT true of oneway a

Question Help Which of the following is NOT true of one-way analysis of variance experimental design? Choose the correct answer below.

A. A completely randomized experimental design is one way to reduce the effect of extraneous factors.

B. In any design, if the conclusion is that the differences among the means are significant, the differences are explained by the factor used.

C. Using a rigorously controlled design is one way to reduce the effect of extraneous factors.

D. Good results require that experiments be carefully designed and executed.

Solution

A completely randomized design relies on randomization to control for the effects of extraneous variables. The experimenter assumes that, on averge, extraneous factors will affect treatment conditions equally; so any significant differences between conditions can fairly be attributed to the independent variable. Another way to reduce the effect of extraneous factors is to use a rigorously controlled design , in which elements are carefully chosen so that all other factors have no variability. In general, good results require that the experiment be carefully designed and executed.

Hence the correct option is B. In any design, if the conclusion is that the differences among the means are significant, the differences are explained by the factor used.