Lecture 13 Flashcards
One Factor ANOVA is used to test for?
Differences in the means of 3 or more populations
What type of data does the one-factor ANOVA use?
Ratio-interval scale data
What assumptions of one-factor ANOVA does it require?
To follow a NORMAL distribution and have equal variances
What is the response variable in ANOVA?
(Dependent variable) the ratio-interval scale variable that you are actually measuring
What are factors in ANOVA?
(Independent variable) the nominal scale variable that will group the data into categories
What defines the type of ANOVA?
The factors
What are levels in ANOVA?
(Groups, type of treatments, or sample) the CATEGORIES themselves contained within the factors
What is the null hyposthesis in One-factor ANOVA?
All the means of each population are equal
What is the alternative hyposthesis in one-factor ANOVA?
At least one population mean is different
What does k stand for?
The number of populations
What does X-double bar, N, and G stand for?
The grand mean, grand sample size, and grand total
What is similar to ANOVA?
Two sample t-test
what can be used to test for normality for ANOVA?
D’Agostino Pearson k^2 test
What can be used to test for homoscedascity in ANOVA?
Bartlett’s test and Levene’s test
Why is a test that looks at differences in the means of three or more populations called analysis of variances?
The analysis of variances explains the different sources of variation in the data