Quiz 3 Stats 2

In an analysis of variance, one estimate of σ 2 is based upon the sum of squared deviations within the sample data and the

Sample Means

An experimental design that permits statistical conclusions about one factor is a

completely randomized design

.An ANOVA procedure is used for Completely Randomized Design data obtained from two samples, each comprised of 10 observations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are

1 and 18

In an analysis of variance problem involving 3 treatments and 5 observations per treatment, SSE = 120.0. The MSE for this situation is

10.0

In an analysis of variance problem involving Completely Randomized Design, if SST = 20 and SSTR = 8, then SSE is

12

An ANOVA procedure is used for Completely Randomized Design data that was obtained from five sample groups each comprised of six observations. The degrees of freedom for the critical value of F are

4 and 25

In a single factor experimental design where the experimental units are randomly assigned to the treatments when heterogeneity of experimental units is not suspected is known as a. randomized block design b. random factor design c. factor block design d. none of the other three alternatives is correct

Answer: d. none of the other three alternatives is correct

The required condition for using an ANOVA procedure on data from several populations is that the a. sampled populations have equal means b. sampled populations are all uniform c. the selected samples are dependent on each other d. none of the other three options is correct

Answer: d. none of the other three options is correct

In the analysis of variance procedure (ANOVA), variable refers to

The Independent Variable

In the ANOVA, factor levels are

Treatments

The independent variable of interest in an ANOVA procedure is called

a factor

The ANOVA procedure is a statistical approach for testing

equality of means of two or more populations

. In factorial designs, the effects of the response produced at different levels of a factor is known as

main effect

The repetition of experimental condition is known as

replication

Which of the following is not a required assumption for the analysis of variance?

Populations have equal means