Chapter 13 BNAD
In one-way ANOVA, within treatments variability is based on
A weighted sum of the sample variances of each treatment
One-way ANOVA
Compares population means based on one categorical variable or factor
True or False: ANOVA is a statistical technique used to determine if there is a difference in three or more population standard deviations.
False
If the selection of one sample does not affect the selection of another sample, then the samples are considered_____.
Independent
Which of the following is NOT an assumption for performing a one-way ANOVA?
The population correlation coefficients indicate a strong linear relationship
In a ANOVA test, we compute the grand mean by calculating
The sum of all observations and then dividing by the total number of observations
Fisher's least difference (LSD) method is applied
When the ANOVA test has rejected the null hypothesis of equal population means
Between-treatment variability is based on a weighted sum of squared differences between the sample means and the
grand mean
In one-way ANOVA, the sum of squares due to treatments (SSTR) is the
sum of the weighted squared differences between the samples mean and the grand mean
In two-way ANOVA without interaction, we partition the total sum of squares SST into ____ distinct components
3
In a completely randomized ANOVA design, if there are an equal number of observations in each sample, then the design is ____.
Balanced
Tukey's HSD method ensures that the probability of a Type I error equals alpha
For any number of pairwise comparisons
We use ANOVA to determine
If differences exist between the means of three or more populations
A completely randomized sample design draws from _____.
Independent random samples
A two-way ANOVA test simultaneously examines the effect of ____ factor(s) on the population mean.
Two
The ____ is a weighted sum of the sample variances of each treatments.
error sum of squares
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
Performing a one-way ANOVA test, instead of performing a series of two-sample t tests, _____ the risk of incorrectly rejecting the null hypothesis.
Reduces
In one-way ANOVA, between treatments variability is based on
The variability between sample means
In one-way ANOVA, one of the independent estimates of the common population variance is NOT based on
the population median
True or false: The ANOVA test simultaneously determines whether differences exist between the population means and identifies those population means that may differ
False
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
As compared to Fisher's LSD method, _____ is a more powerful multiple comparison technique.
Tukey's HSD method
Which method ensures that the probability of a Type I error equals alpha?
Tukey's HSD method
In one-way ANOVA within treatments variability is based on the
Variability within each sample
True or False: one-way ANOVA analysis does not require that all means differ from one another.
True
We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples
True
Two-way ANOVA
Compares population means based on two categorical variables or factors
In two-way ANOVA, if units within each block are randomly assigned to each of the treatments, then the design of the experiment is referred to as a
Randomized block design
The one-way ANOVA test is always a
Right tailed test
Since ANOVA techniques were originally developed in connection with agricultural experiments, the term _____ is often used to identify the populations being examined for an ANOVA analysis.
Treatment
True or false: Tukey's honestly significant differences (HSD) method can accommodate unbalanced data.
True
In one-way ANOVA, the error sum of squares (SSE) is the
sum of the weighted sample variances of each treatment