Formula Sheet: Final Exam

Formula Sheet

calculating probabilities: \(\frac{e^{\beta_o + \beta_1*x1 + \beta_2*x2 +...}}{1 + e^{\beta_o + \beta_1*x1 + \beta_2*x2 +...}}\)

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 = \(\frac{(\text{row i total}) * (\text{column j total})}{\text{table total}}\)

residual = \(y - \hat{y}\)

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

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