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\begin{theindex}
\item $F$ distribution, \textbf{96}
\item $\chi ^2$ distribution, \textbf{80}
\item $\chi ^2$ table, \textbf{80}
\item (sample) mean, \textbf{23}
\item 10\% condition, \textbf{39}
\indexspace
\item $A^c$, 16
\item Addition Rule, \textbf{14}
\item alternative hypothesis ($H_A$), \textbf{53}
\indexspace
\item Bayes' Theorem, \textbf{20}, 20
\item Bayesian statistics, \textbf{22}
\indexspace
\item calculus, 26
\item cdf, 15
\item Central Limit Theorem, 52, 57--58
\subitem normal data, 65
\item Chain Rule, \textbf{27}
\item chi-square statistic, 79
\item collections, 14
\item complement, \textbf{16}
\item conditional probability, 17--20
\item confidence interval, \textbf{51}, 51--53
\subitem confidence level, 52
\subitem interpretation, 53
\subitem using normal model, 60
\item correlation, \textbf{88}, 88
\item covariance, \textbf{26}
\item cumulative distribution function, \textbf{15}
\indexspace
\item data
\subitem textbooks, 66
\item degrees of freedom (df)
\subitem chi-square, \textbf{80}
\item disjoint, \textbf{14}, 14--15
\item distribution
\subitem $t$, 65
\subitem Bernoulli, 35--36
\subitem binomial, \textbf{37}, 37--39
\subsubitem normal approximation, 39
\subitem geometric, \textbf{36}, 36
\subitem negative binomial, \textbf{39}, 39
\subitem normal, 31--34
\subitem Poisson, 41--42
\indexspace
\item effect size, \textbf{93}
\item empirical cdf, \textbf{34}
\item entropy
\subitem maximum, 110
\item event, \textbf{14}, 14--15
\item Events, \textbf{14}
\item $\E(X)$, 22
\item expectation, 22--23
\item expected value, \textbf{22}
\item exponential distribution, \textbf{58}
\indexspace
\item factorial, \textbf{37}
\item failure, \textbf{73}
\item Frequentist statistics, \textbf{22}
\indexspace
\item Greek
\subitem alpha ($\alpha$), 54
\subitem beta ($\beta$), 87
\subitem mu ($\mu $), 23
\subitem sigma ($\sigma $), 25
\indexspace
\item high leverage, \textbf{91}
\item hypothesis testing, 53--57
\subitem decision errors, 54
\subitem p-value, \textbf{55}, 54--56
\subitem significance level, 54, 57
\subitem using normal model, 61--62
\indexspace
\item interaction, \textbf{105}
\indexspace
\item joint probability, 18
\item joint probability mass function, \textbf{18}
\item jointly distributed, \textbf{18}
\indexspace
\item Law of Large Numbers, \textbf{13}
\item learning
\subitem machine, 119
\item least squares regression, 89
\subitem extrapolation, 90
\subitem interpreting parameters, 90
\subitem r-squared ($r^2$), 90
\item linear combination, \textbf{25}
\item linear regression, \textbf{87}
\item log-normal, \textbf{60}
\indexspace
\item margin of error, \textbf{53}, 61
\item marginal distribution, \textbf{18}
\item marginal probability, 18
\item mean
\subitem average, 23
\item mean squares, \textbf{94}
\item mode, \textbf{8}, \textbf{27}
\item Multiplication Rule, \textbf{18}
\item mutually exclusive, \textbf{14}, 14--15
\indexspace
\item n choose k, \textbf{37}
\item normal probability plot, 34
\item null hypothesis ($H_0$), \textbf{53}
\indexspace
\item optimization
\subitem mathematical, 119
\item outcomes, \textbf{14}
\indexspace
\item p-value, \textbf{55}
\item paired data, 66
\item parameter, 87
\item pdf, 15
\item pie chart, \textbf{9}
\item point estimate, 50--51
\subitem difference of means, 67
\subitem difference of proportions, 76
\subitem single mean, 50
\subitem single proportion, 74
\item point-slope, \textbf{90}
\item pooled standard deviation, \textbf{69}
\item practically significant, \textbf{63}
\item probability, \textbf{12}, 12--20
\item probability density function, \textbf{15}, \textbf{21}
\item probability distribution, \textbf{15}
\item probability mass function, \textbf{18}
\item Product Rule, \textbf{27}
\indexspace
\item random process, 12--14
\item random variable, \textbf{15}, \textbf{22}, 22--26
\item residual, \textbf{88}, 88
\indexspace
\item $S$, 16
\item sample proportion, \textbf{35}
\item sample space, \textbf{14}, \textbf{16}
\item sample standard deviation, \textbf{8}
\item sampling distribution, \textbf{50}
\item sampling without replacement, \textbf{20}
\item SE, 50
\item sets, 14, \textbf{14}
\item significance level, \textbf{54}, 57
\item skew
\subitem example: moderate, 58
\subitem example: strong, 58
\subitem strongly skewed guideline, 58
\item standard error (SE), \textbf{50}
\subitem difference in means, 67
\subitem difference in proportions, 76
\subitem single mean, 51
\subitem single proportion, 73
\item states, \textbf{112}
\item statistically significant, \textbf{63}
\item strong LLN, \textbf{13}
\item structure function, \textbf{113}
\item success, \textbf{73}
\item success-failure condition, \textbf{73, 74}
\indexspace
\item t-distribution, 65
\item T-score, \textbf{66}
\item test statistic, \textbf{62}
\item tree diagram, \textbf{19}, 19--20
\item Type\nobreakspace {}1 Error, \textbf{54}
\item Type\nobreakspace {}2 Error, \textbf{54}
\indexspace
\item unbiased, \textbf{60}
\item unbiased estimator, \textbf{70}
\item uniform, \textbf{60}
\item uniform distribution, \textbf{23}
\indexspace
\item variance, \textbf{8}
\indexspace
\item weak LLN, \textbf{13}
\item with replacement, \textbf{20}
\end{theindex}