Math Problem Statement
Which of the following are the basic assumptions that must be fulfilled in order to perform a One-Way ANOVA test? Check all that apply. The populations are assumed to have equal means. The populations are assumed to have equal standard deviations (or variances). All samples are randomly selected and independent. The factor is a categorical variable. Each population from which a sample is taken is assumed to be normal. The response is a numerical value. The response must be a qualitative variable. Samples can have any standard deviation other than zero. All factors must be quantitative variables.
Solution
To perform a One-Way ANOVA test, the following basic assumptions must be fulfilled:
- The populations are assumed to have equal standard deviations (or variances).
- All samples are randomly selected and independent.
- The factor is a categorical variable.
- Each population from which a sample is taken is assumed to be normal.
- The response is a numerical value.
The other statements do not apply to the assumptions of One-Way ANOVA.
Would you like more details on any of these assumptions? Here are some related questions you might consider:
- What is the significance of assuming equal variances in ANOVA?
- How can you check for normality in the populations?
- What methods can be used to ensure that samples are independent?
- What types of categorical variables are suitable for One-Way ANOVA?
- How do you interpret the results of a One-Way ANOVA?
Tip: Always visualize your data with boxplots or histograms to assess assumptions before conducting ANOVA.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
ANOVA
Formulas
-
Theorems
One-Way ANOVA assumptions
Suitable Grade Level
Grades 11-12