isds 2001 test 2

In a one-way ANOVA table, __________ = SSTR + SSE.

SST

In two-way ANOVA without interaction, the error sum of squares (SSE) is calculated as ______.

SST(SSA+SSB)

In a one factor ANOVA (analysis of variance), if the computed F statistic exceeds the critical F value, we will a. reject Ho because there is evidence that all of the means are different b. reject Ho because there is evidence that the factor effects X c. not reject Ho because there is no evidence of a difference in the means d. not reject Ho because a mistake has been made

b. reject Ho because there is evidence that the factor effects X

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

error sum of squares

we use ANOVA to determine __________

if differences exist between the means of three or more populations

Which of the following is a required assumption for the analysis of variance? a. the means associated with the dependent variable must be equal for each population b. the dependent variable of interest for each population has a normal distribution c. the variance associated with the dependent variable of interest must be independent for each population d. All of the above assumptions are required

the dependent variable of interest for each population has a normal distribution

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

variability within

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

1. SSTR 2. SSE 3. SST

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

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

I

SSA/c-1=

MSA

SSB/r-1=

MSB

SSE/n-c-r+1=

MSE

SSE/nT-c-r+1=

MSE

_________ is the within-treatments variance.

MSE

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

MSTR

In two-way ANOVA without interaction, the error sum of squares (SSE) is calculated as ______.

SST-(SSA+SSB)

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

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

The analysis of variance procedure is a statistical approach for determining whether or not a. means of two samples are equal b. means of two or more samples are equal c. means of two or more variances are equal d. means of two or more populations are equal

a. means of two or more populations are equal

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

In one-way ANOVA, two independent estimates of the common population variance σ2 are estimated. These estimates are commonly referred to as ______.

between-treatments variability and within-treatments variability

The ANOVA test assume the population standard deviations are unknown but __________

equal

In a two-way ANOVA test, the sum of squares for factor A is based on the sum of the squared differences between the mean for each level of factor A and the

grand mean

In a two-way ANOVA test, the sum of squares for factor A is based on the sum of the squared differences between the mean for each level of factor A and the ________

grand mean

The ANOVA test assume the samples are selected _________

independently

In one-way ANOVA, the independent estimates of the common population variance σ2 are based on which of the following?

inherent differences between population means chance

The two-way ANOVA test can be extended to capture the _________ between the factors.

interaction

The one-way analysis of variance (ANOVA) test is used to determine if differences exist between the _________ of three or more populations

means

The ANOVA test assume the populations are ____________ distributed.

normal

a statistical technique that analyzes the effect of one categorical variable (factor) on the mean

one-way ANOVA

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.

The ANOVA test is a _________-tailed test.

right

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 statistic and the p-value state the conclusion and interpret the results

a one-way ANOVA test is testing population means under the following assumptions:

the populations are normally distributed the population standard deviations are unknown but assumed equal the samples are selected independently

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.

treatments

True or false: The two-way ANOVA test can be conducted with or without examining the interaction of the two factors.

true

True or false: We use ANOVA to test for differences between population means by examining the amount of variability between the sample means relative to the amount of variability within the samples.

true

compares population means based on two categorical variables or factors.

two-way ANOVA

How many means can you test for differences using ANOVA?

3 or more

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 or randomness

With two-way ANOVA, we are examining two factors, we use the notation SSA to capture the variability between the levels of factor _____ and SSB to capture the variability between the levels of factor _____

A,B

A one-way ANOVA test is based on which distribution?

Fdf1,df2

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

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

false

A two-way ANOVA test simultaneously examines the effect of ________ factor(s) on the population mean.

two

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

variance