Stat 371: Analysis of Variance

These flashcards cover key concepts in ANOVA and related statistical methods, essential for understanding the analysis of variance and hypothesis testing.

Analysis of Variance (ANOVA)

A statistical method used to compare means of three or more groups to determine if at least one group mean is different.

Type I Error

The incorrect rejection of a true null hypothesis (false positive).

Hypothesis Testing

A method of making statistical decisions using experimental data. It involves formulating a null (H0) and an alternative hypothesis (HA).

Between-Groups Variability (ssbg)

The variability due to differences between the group means in ANOVA. Calculated by comparing the group means to the overall mean.

Within-Groups Variability (sswg)

The variability due to differences within individual groups in ANOVA. Calculated by comparing individual observations to their respective group means.

F Statistic

The ratio of the mean square between groups to the mean square within groups in ANOVA, used to determine if the group means are significantly different.

Kruskal-Wallis Test

A non-parametric method for comparing three or more independent groups when the assumptions of ANOVA are not met.

Bonferroni Correction

A statistical adjustment made to p-values when multiple comparisons are performed, to control the family-wise error rate.

Family-Wise Error Rate (FWER)

The probability of making one or more Type I errors when conducting multiple hypothesis tests.

Post-Hoc Tests

Tests performed after an ANOVA to determine which specific group means are different.