Chapter 13

In a two-way ANOVA test, how many null hypotheses are tested?

2 or 3

One of the disadvantages of Fisher's LSD method is that the probability of committing a:

Type 1 error increases as the number of pairwise comparisons increases

Which of the following is the correct interpretation of the Fisher's confidence interval for ui-uj?

if the interval does not include the value zero, the null hypothesis, that H0:μi-μj = 0, is rejected at alpha level of significance

If units with each block are randomly assigned to each of the treatments, then the design of the experiment is referred to as a

randomized block design

If the amount of variability between treatments is significantly greater than the amount of variability within treatments, then

reject the null hypothesis of equal population means

Tukey's HSD method uses _____ instead of ____ when compared to Fisher's LSD method for pairwise comparisons

studentized range values; t values

The variability due to chance, also known as within-treatments variability, is the estimate of σ^2 which is based on the:

variability of the data within each sample

If there are five treatments under study, the number of pairwise comparisons is:

10

Fisher's LSD method is applied when the:

ANOVA test has rejected the null hypothesis of equal population means

When using Fisher's LSD method at some stated significance level, the probability of committing a Type 1 error increases as the number of:

pairwise comparisons increases

If the interaction between two factors is not significant, the next tests to be done are

tests about the population means of factor A or B using two-way ANOVA without interaction

Identify the assumption that is not applicable for a one-way ANOVA test

the population SD are not all equal

Which of these null hypotheses is applicable for a two-way ANOVA test with interaction?

there is no interaction between factors A and B

One-way ANOVA analyzes the effect of one factor on the population mean. It is based on a:

completely randomized design

Tukey's HSD method ensures that the probability of a Type 1 error remains fixed irrespective of the number of

pairwise comparisons

Between-treatments variability is based on a weighted sum of squared differences between the:

sample means and the overall mean of the data set