Statistics Final Exam Questions With Correct
Solutions 2025\2026 A+ Grade.
When do you use an ANOVA?
- accurate answers-When you want to compare two or more means
What does ANOVA protect researchers from?
- accurate answers-Making a Type I Error
What is a Factor?
- accurate answers-The variable that designates the groups being compared
(IV)
What are Levels?
- accurate answers-Individual conditions or vales that make up a factor
Hypotheses for ANOVA
- accurate answers-Ho: u₁ = u₂ = u₃
H₁: There is at lease one mean difference among the populations
T/F: ANOVAs tell us that differences exist, but not what those differences are
- accurate answers-True
Assumptions of the ANOVA
- accurate answers-1. The observations w/i each sample are independent
2. Population from which samples are selected from are normal
3. Populations from which samples are selected from have equal variance
(homogeneity)
T/F: For ANOVAs, you want equal sized n's to have equal randomness
- accurate answers-True
When do you compute post-hoc analyses?
- accurate answers-When the ANOVA is significant
What does a post-hoc do in an ANOVA?
- accurate answers-tells you specific significant differences in each sample
, Benefit of Bonferonni vs. Tukey's
- accurate answers-Bonferonni is more conservative
What is an F-Ratio?
- accurate answers-A ratio between two sample variances
Numerator of the F-Ratio for an ANOVA
- accurate answers-MSbetween
What does MSbetween measure?
- accurate answers-the size of mean differences between samples
What does MSwithin measure?
- accurate answers-the size of mean differences within samples; estimates the
expected variance by chance
Denominator of the F-Ratio for an ANOVA
- accurate answers-MSwithin
difference between independent-measures t-test and ANOVA
- accurate answers-ANOVA based on variance, t-test based on sample mean
difference
Which of the following is the correct description for a research study
comparing problem-solving scores obtained for 3 different age groups of
children?
- accurate answers-Three-level design
A study is comparing people who live in urban centers vs. suburbs vs. rural
areas on willingness to seek psychological care. What test do you need to run?
- accurate answers-ANOVA
For t-test and ANOVA, high/low within group variance and high/low between
group variance is most likely to produce a significant outcome of a research
study
- accurate answers-low; high
Solutions 2025\2026 A+ Grade.
When do you use an ANOVA?
- accurate answers-When you want to compare two or more means
What does ANOVA protect researchers from?
- accurate answers-Making a Type I Error
What is a Factor?
- accurate answers-The variable that designates the groups being compared
(IV)
What are Levels?
- accurate answers-Individual conditions or vales that make up a factor
Hypotheses for ANOVA
- accurate answers-Ho: u₁ = u₂ = u₃
H₁: There is at lease one mean difference among the populations
T/F: ANOVAs tell us that differences exist, but not what those differences are
- accurate answers-True
Assumptions of the ANOVA
- accurate answers-1. The observations w/i each sample are independent
2. Population from which samples are selected from are normal
3. Populations from which samples are selected from have equal variance
(homogeneity)
T/F: For ANOVAs, you want equal sized n's to have equal randomness
- accurate answers-True
When do you compute post-hoc analyses?
- accurate answers-When the ANOVA is significant
What does a post-hoc do in an ANOVA?
- accurate answers-tells you specific significant differences in each sample
, Benefit of Bonferonni vs. Tukey's
- accurate answers-Bonferonni is more conservative
What is an F-Ratio?
- accurate answers-A ratio between two sample variances
Numerator of the F-Ratio for an ANOVA
- accurate answers-MSbetween
What does MSbetween measure?
- accurate answers-the size of mean differences between samples
What does MSwithin measure?
- accurate answers-the size of mean differences within samples; estimates the
expected variance by chance
Denominator of the F-Ratio for an ANOVA
- accurate answers-MSwithin
difference between independent-measures t-test and ANOVA
- accurate answers-ANOVA based on variance, t-test based on sample mean
difference
Which of the following is the correct description for a research study
comparing problem-solving scores obtained for 3 different age groups of
children?
- accurate answers-Three-level design
A study is comparing people who live in urban centers vs. suburbs vs. rural
areas on willingness to seek psychological care. What test do you need to run?
- accurate answers-ANOVA
For t-test and ANOVA, high/low within group variance and high/low between
group variance is most likely to produce a significant outcome of a research
study
- accurate answers-low; high
