Linear Models and ANOVA Lecture Review

Flashcards covering vocabulary and concepts from a lecture on linear models and ANOVA.

Linear Model

A statistical model where the relationship between variables is modeled with a linear equation (y = mx + b + e).

ANOVA

Analysis of Variance; a statistical test used to analyze the differences between group means in a sample.

Post Hoc analysis

Statistical tests performed after ANOVA to determine which specific groups differ significantly from each other.

MLE

Maximum Likelihood Estimate. In the context of linear models it is y _ HA, representing the estimation of each group mean being distinct

F-tests

A statistical test used in ANOVA to determine if there is a significant difference between the means of two or more groups.

Variance

A measure of how spread out a data set is; the differences between sample means in ANOVA.

F Statistic

The test statistic calculated in ANOVA, representing the ratio of variance between sample means to the variance expected by chance.

Total Variance

The overall variability in a data set, calculated as the sum of squares total (SST).

Model Sum of Squares (SSR)

Variance explained by the model; represents the explained variability in the data.

Residual Sum of Squares (SSE)

Residual variance (error); represents the unexplained variability in the data after fitting the model.