busi 2305 chap 13 smartbook

For an ANOVA test, the p-value is found using the table.

F

The competing hypotheses for a one-way ANOVA test that compares the means of three populations are defined as

H0: μ1 = μ2 = μ3 HA: Not all population means are equal

In a one-way ANOVA table, = SSE/nT-c.

MSE

In a one-way ANOVA table, =SSTR/c-1.

MSTR

is the between-treatments variance

MSTR

The value of the test statistic for testing whether differences exist between the population means is computed as

MSTR/MSE

The formula for the mean square error (MSE) is equal to what?

SSE/(nT - c)

Which of the following is NOT an assumption for performing a one-way ANOVA?

The population correlation coefficients indicate a strong linear relationship.

In one-way ANOVA, between-treatments variability is based on

a weighted sum of squared differences between the sample means and the grand mean.

In order to determine if there is a difference between the means of three or more populations, we use ______.

analysis of variance

Place the sources of variation from a one-way ANOVA table in the correct order.

between groups within groups total

Place the degrees of freedom from a one-way ANOVA table in the correct order.

c-1 nt-c nt-1

If the two independent estimates of σ2 are relatively close together, then it is likely that the variability of the sample means can be explained by

chance

The ______ is a weighted sum of the sample variances of each treatments.

error sum of squares

= is the symbol for the x

grand mean

The ANOVA test assume the samples are selected

independently

In one-way ANOVA, between-treatments variability is based on the variability between sample

means

The ANOVA test assume the populations are distributed.

normal

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

ANOVA tests are always implemented as -tailes tests.

right

The ANOVA test is a -tailed test

right

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

The term is often used to identify the c populations being examined.

treatments

In one-way ANOVA, within-treatments variability is based on the each sample.

variability within

In order to determine if significant differences exist between some of the population means, we develop two independent estimates of the common population

variance

Place the sums of squares from a one-way ANOVA table in the correct order.

SSTR SSE SST

By conducting numerous pairwise t-test comparisons on means, we inflate the risk of the Type error

one

In ANOVA testing, if the ratio of the between-treatment variability to within-treatment variability is significantly greater than one, then we

reject the null hypothesis and conclude that not all population means are equal.

In one-way ANOVA, two independent estimates of the common population variance σ2 are estimated. One estimate can be attributed to inherent differences between the c populations while the other estimate can be attributed to

chance

In one-way ANOVA, the error sum of squares (SSE) is the

sum of the weighted sample variances of each treatment.

True or false: ANOVA is a statistical technique used to determine if there is a difference in three or more population standard deviations.

False

True or false: The alternative hypothesis HA in one-way ANOVA requires that all means differ from one another.

False

We use ANOVA to determine ______.

if differences exist between the means of three or more populations

Place the steps to perform an ANOVA difference of means test in their proper sequence.

specify the null and the alternative hypothesis specify the significance level calculate the value of the test statistics and the p-value state the conclusion and interpret the results