Exam 11: The Analysis of Variance

In a randomized block design of ANOVA, how many factors are there to be analyzed?

The completely randomized design is an experimental plan that divides all available experimental units into blocks of fairly homogeneous units - each block containing as many units as there are treatments or some multiple of that number - and then randomly matches each treatment with one or more units within each block.

Blocking is a procedure that lets extraneous factors operate during an experiment but assures - by virtue of the random selection of experimental units and their subsequent random assignment to experimental and control groups - that each treatment has an equal chance to be enhanced or handicapped by these factors.

Which of the following statements is false?

In a one-way ANOVA, the null hypothesis is written in terms of the population variances.

In the randomized block design for ANOVA, where k is the number of treatments and b in the number of blocks, the number of degrees of freedom for error is:

In a one-way ANOVA, the total variation in the data across the various factor levels can be partitioned into two parts: the between samples variation (called the sum of squares for treatments) and the within samples variation (called the sum of squares for error).

In the two-way ANOVA where a is the number of factor A levels, b in the number of factor B levels, and r in the number of replicates, the number of degrees of freedom for error is:

The F statistic is the arithmetic mean of two or more means.

The distribution of the test statistic for analysis of variance is:

Which of the following is not a required condition for one-way ANOVA?

Tukey's multiple comparison method determines a critical number , such that, if any pair of sample means has a difference smaller than this critical number, we conclude that the pair's two corresponding population means are different.

If we first arrange test units into similar groups before assigning treatments to them, the test design we should use is the randomized block design.

The distribution of the test statistic for analysis of variance is the:

The term one-way ANOVA refers to the fact that in conducting the test, there is only one way to partition the total sum of squares.

The equation: "Total SS = SST + SSB + SSE" applies to which ANOVA model?

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: Total SS = 1951, SST = 349, SSE = 188. The value of SSB must be:

In a randomized block design of ANOVA, which of the following statements is true?

In the randomized block design ANOVA, the sum of squares for error equals:

The analysis of variance, ANOVA, is best described as a statistical technique designed to test whether the means of more than two quantitative populations are equal.