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