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
