Test 1 Bstats
SSE is the sum of the squared differences between each observation and its group's mean. If all cases within a cluster are identical the SSE would then be equal to ______.
0
Suppose the competing hypotheses for a test are H0: μ1 = μ2 = μ3 versus Ha: At least one mean differs. If the value of the test statistic is F = 3.24 and its associated p-value is 0.07, then at the 5% significance level what is the correct conclusion?
Do not reject H0
A one-way ANOVA test is based on the ______ distribution.
F
True or false: In one-way ANOVA we are investigating whether or not all group means are different.
False
True or false: The one-way ANOVA test simultaneously determines whether differences exist between the population means and identifies those population means that may differ.
False does not determine which population means differ.
In one-way ANOVA we are investigating whether or not all group means are different. Select the correct set of hypotheses:
H0: μ1 = μ2 = μ3 Ha: At least one pair of means differ
In one-way ANOVA, the ______ is calculated by summing the squared difference between each observed value and its corresponding group mean, over all of the observations.
SSE
In one-way ANOVA, the mean square error (MSE) is calculated as ______.
SSE/n−p
In one-way ANOVA, the ______ is calculated as a weighted sum of squared differences between the sample means and the overall mean.
SST
In one-way ANOVA, the treatment mean square (MST) is calculated as ______.
SST/p−1
In one-way ANOVA, the ______ is calculated as the between-treatment variability plus the within-treatment variability.
SSTO
In one-way ANOVA, the ______ measures the total amount of variability in the observed response values.
SSTO
the cacluation with ∑
Sum of Squares between treatments
Which of the following assumptions must be true for performing a one-way ANOVA?
The populations have equal variances. The samples are independent and randomly selected. The populations are normally distributed.
In one-way ANOVA, if the variability between treatments is small compared to the variability within treatments, what can we conclude?
There is insufficient evidence to conclude the population means differ.
Simultaneous confidence intervals reduce the overall probability of ________.
Type I Error
In one-way ANOVA, if SST = 137.2, SSE = 190.8, MST = 68.6, and MSE = 15.9, then SSTO =
add sst & sse
If we can assign the value of a factor experienced by different treatment groups, the data obtained are
experimental
ANOVA is a statistical technique used to determine
if differences exist between the means of populations.
In a completely randomized experimental design
independent random samples of experimental units are assigned to each treatment.
Researchers are often interested in how a factor influences the responses given by participants. In this instance, the factor is called the
independent variable
In one-way ANOVA, we consider one factor having p levels and try to determine if differences exist between the _______ response to the various treatment levels.
means
True or false: The one-way ANOVA test simultaneously determines whether differences exist between the population
means
If the factor being studied cannot be controlled, the data obtained are
observational
In a completely randomized design, the Tukey simultaneous confidence interval [xxi - xxh ± qα √MSE2(1ni+1nh)MSE21ni+1nh] for a pairwise difference uses the q distribution based on which values?
p n - p α
The degrees of freedom in a one-way ANOVA test are ______.
p-1/n-p
The one-way ANOVA test is always a ______-tailed test.
right
When performing one-way ANOVA, the problem with populations having unequal variances can be mitigated by ______
taking samples that are the same size.
Replication occurs when
you apply the same treatment to more than one experimental unit.