BNAD 277 Concept chapter 13

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

10

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

2 or 3

Fisher's least difference (LSD) method is applied when the:

ANOVA test has rejected the null hypothesis of equal population means

Which of the following is the correct interpretation of the Fisher's 100(1 - α)% confidence interval for μi-μj ?

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

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 factor B using two-way ANOVA without interaction.

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

The population standard deviations 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 of the disadvantages of Fisher's least difference (LSD) method is that the probability of committing a:

Type I error increases as the number of pairwise comparisons increases.

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

completely randomized design

Fisher's 100(1 - α)% confidence interval for the difference between two population means μi- μj is:

formula sheet 8

Tukey's 100(1 - α)% confidence interval for the difference between two population means μi- μj for balanced data is given by ______.

formula sheet 9

Tukey's honestly significant differences (HSD) method ensures that the probability of a Type I error remains fixed irrespective of the number of:

pairwise comparisons

When using Fisher's least significant difference (LSD) method at some stated significance level, the probability of committing a Type I error increases as the number of:

pairwise comparisons increases

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

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

sample means and the overall mean of the data set

Tukey's honestly significant differences (HSD) method uses _______instead of______ when compared to Fishers least differences (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