In a completely randomized design, the treatments must be randomly assigned to the experimental units.

The analysis of variance can be used to test the null hypothesis that k population means are equal.

The degrees of freedom associated with the sum of squares between treatments is the same as the number of treatments.

The within-treatments estimate of the population variance is called the mean square due to error.

A statistics professor wishes to know the effect of class format on student learning, as measured by improvement on examination scores from the beginning to the end of the semester. The five class formats to be studied reflect different emphases on homework problems and computer exercises. Sixty students are randomly selected for this study; 12 students are randomly assigned to each class format. The term treatment is illustrated by

A statistics professor wishes to know the effect of class format on student learning, as measured by improvement on examination scores from the beginning to the end of the semester. The five class formats to be studied reflect different emphases on homework problems and computer exercises. Sixty students are randomly selected for this study; 12 students are randomly assigned to each class format. The term replication is illustrated by

A statistics professor wishes to know the effect of class format on student learning, as measured by improvement on examination scores from the beginning to the end of the semester. The five class formats to be studied reflect different emphases on homework problems and computer exercises. Sixty students are randomly selected for this study; 12 students are randomly assigned to each class format. The term response variable is illustrated by

Which of the following is a required condition for using the completely randomized design analysis of variance?

Three different road repair compounds were tested at four different highway locations. At each location, three sections of the road were repaired, each section with one of the three compounds. Data were then collected on the number of days of traffic usage before additional repair was required in order to test for a difference between the compounds.

The factor in this experiment is

Three different road repair compounds were tested at four different highway locations. At each location, three sections of the road were repaired, each section with one of the three compounds. Data were then collected on the number of days of traffic usage before additional repair was required in order to test for a difference between the compounds.

The block in this experiment is

Three different road repair compounds were tested at four different highway locations. At each location, three sections of the road were repaired, each section with one of the three compounds. Data were then collected on the number of days of traffic usage before additional repair was required in order to test for a difference between the compounds.

Using α = .05, the appropriate critical value is

Three different road repair compounds were tested at four different highway locations. At each location, three sections of the road were repaired, each section with one of the three compounds. Data were then collected on the number of days of traffic usage before additional repair was required in order to test for a difference between the compounds.

Using α = .05, the decision is

In a two-factor factorial experiment, the total sum of squares is partitioned into two components: main effect factor A and main effect factor B.

In a factorial experiment, the number of levels of factor A must be equal to the number of levels of factor B.

A factorial experiment that involved four levels of factor A, five levels of factor B, and three replications would have error degrees of freedom equal to