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Last updated

Mar 12, 2023
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- Mostly Harmless Statistics Formula Packet
- Detailed Licensing

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$n$	Sample Size	$z_{\alpha / 2}$	Critical Value for Standard Normal Distribution
$N$	Population Size	$z$	$z$ -Test Statistic
$\sum$	Sum	$df$	Degrees of Freedom
$\bar{x}$	Sample Mean	$t_{\alpha / 2}$	Critical Value for t-Distribution
$mu$	Population Mean	t	t Test Statistic
$s$	Sample Standard Deviation	$\text{D}$	Difference
$\sigma$	Population Standard Deviation	$\bar{D}$	Mean of the Differences
$s^{2}$	Sample Variance	$s_{D}$	Standard Deviation of the Differences
$\sigma^{2}$	Population Variance	$\text{F}$	F Test Statistic
$\text{CV}$	Coefficient of Variation	$\text{F}_{\alpha}$	F Critical Value
$z$	Z-score	$\chi^{2}$	Chi-Square Test Statistic
IQR	Interquartile Range	$\chi_{\alpha}^{2}$	Chi-Square Critical Value
$P_{i}$	Percentile	E	Expected Value
$Q_{i}$	Quartile	O	Observed Value
$\text{P}(x)$	Probability of $X = x$	k	Number of Groups
$\text{A}^{C}$	Complement Rule	SS	Sum of Squares
$\text{A} \cap \text{B}$	Intersection	MS	Mean Square
$\text{A} \cup \text{B}$	Union	$r$	Sample Correlation Coefficient
$\text{A} \| \text{B}$	Conditional Probability	$\rho$	Population Correlation Coefficient
$n!$	Factorial Rule	$R$	Multiple Correlation Coefficient
${}_{n} C_{r}$	Combination Rule	$R^{2}$	Coefficient of Determination
${}_{n} P_{r}$	Permutation Rule	$1 - R^{2}$	Coefficient of Nondetermination
$p$	Probability of a Success	$\hat{y}$	Predicted Value of the Regression Equation
$q$	Probability of a Failure	$b_{0}$	Sample Y-Intercept Coefficient
$p$	Population Proportion	$b_{1}$	Population Slope Coefficient
p	P-value	$e_{i}$	Residual
$\alpha$	Significance Level = $\text{P(Type I Error)}$ = False Positive Rate	$s_{\text{est}} = s$	Standard Error of Estimate = Standard Deviation of the Residuals
$1 - \alpha$	$\text{P(True Negative)}$	p	Number of predictors in regression
$\beta$	$\text{P(Type II Error)}$ = False Negative Rate	$\varepsilon$	Error term in regression
$1 - \beta$	Power = $\text{P(True Positive)}$	$\text{R}$	Sum of the Ranks
$H_{0}$	Null Hypothesis	$w_{s}$	Wilcoxon Signed-Rank Test Statistic
$H_{1} = H_{a}$	Alternative Hypothesis	$\text{U}$	Mann-Whitney U Test Statistic

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