WorksheetsANOVA
Total questions: 15
Worksheet time: 10mins
The following are assumptions for ANOVA except:
Variance must be homogenous
There should be 4 or more independent groups
Data must be normally distributed
Randomly selected
ANOVA testing is used for ...
Test for one mean
Test for two means
Test for three or more means
Test for independence between two variables
Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:
A researcher want to determine whether there is an interaction between physical activity level and gender on blood cholesterol concentration in children.
one-way ANOVA test
two-way ANOVA test
Determine whether the following scenario should use a one-way ANOVA test or two-way ANOVA test:
A group of psychiatric patients are trying three different therapies: counseling, medication and biofeedback. They want to see if one therapy is better than the others.
one-way ANOVA test
two-way ANOVA test
How many independent and dependent variables are there in a One-Way Within Groups ANOVA?
1 independent variable and 1 dependent variable
2 independent variables and 1 dependent variable
1 independent variable and 3 dependent variables
1 independent variable and 2 dependent variable
ANOVA stands for ...
Analysis of Variation
Analysis of Variance
Analysis of Variability
A Non-Visual Analysis
Formulate the alternative hypothesis.
μ2 & μ3 are not the same
μ1 = μ2 = μ3
At least one mean is different
Compute the F-ratio (test statistic) when MSB = 391.2 and MSW = 174.1714
391.2
3.4668
2.246
0.1306
Compute the F critical value for α =1%, N = 24 and k = 3
2.246
4.718
5.781
2.575
The correct decision is ...
reject Ho
fail to reject Ho
reject H1
fail to reject H1
The correct conclusion is ...
There are significant differences in mean salaries among the 3 majors.
There are no significant differences in mean salaries among the 3 majors.
We need to do a chi-square test to find the differences.
We need to do a Bonferroni test to find the differences.
The dfB = 4 and dfW = 20. What would be the total N for an ANOVA?
19
20
24
25
The ______ sum of squares measures the variability of the observed values around their respective treatment means.
Treatment
Error
Interaction
total
To determine whether the test statistic of ANOVA is statistically significant, it can be compared to a critical value. What two pieces of information are needed to determine the critical value?
sample size, number of groups
mean, sample standard deviation
expected frequency, obtained frequency
MSTR (Mean Square Treatment), MSE
As variability due to chance decreases, the value of F will
Increase
stay the same
Decrease
can’t tell from the given information
