Formula Sheet: Final Exam

Formula Sheet

calculating probabilities: $\frac{e^{{\beta }_o+{\beta }_1\ast x1+{\beta }_2\ast x2+...}}{1+e^{{\beta }_o+{\beta }_1\ast x1+{\beta }_2\ast x2+...}}$

log odds: $ln(\frac{p}{1-p})$

F-statistic = $\frac{MST}{MSE}$

Chi-square statistic = $\sum \frac{(\text{observed count}-\text{expected count}{)}^2}{\text{expected count}}$

Expected count = $\frac{(\text{row i total})\ast (\text{column j total})}{\text{table total}}$

residual = $y-\hat{y}$

General confidence interval formula: $statistic\pm \text{margin of error}$

General t-statistic = $\frac{stat-null}{\text{standard error}}$