Statistics: Theory and Methods
1. Probability 2. Discrete Random Variables 3. Averages 4. Bernoulli and Related Variables 5. Continuous Random Variables 6. Families of Continuous Distributions 7. Organizing and Describing Data 8. Samples, Statistics, and Sampling Distributions 9. Estimation 10. Significance Testing 11. Tests as Decision Rules 12. Comparing Two Populations 13. Goodness of Fit 14. Analysis of Variance 15. Regression
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Discrete Random Variables
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approximation assume average Bayes Bernoulli Bernoulli process Bernoulli trials bivariate box plot calculate Chapter chi-square chips coefficient confidence limits Consider correlation corresponding covariance defined denote the number density diagram difference discrete equal estimate Example expected value F-distribution factors Figure Find the mean Find the probability finite formula frequencies given independent integral joint p.d.f. least-squares likelihood function likelihood ratio linear marginal mean and variance median normal distribution null distribution null hypothesis number of successes observations obtain outcomes P-value pair parameter particular percentile plot Poisson Poisson process population mean population proportion posterior Problem Q-Q plot random sample random variable rankit regression function rejection region replacement result sample mean sample proportion sample space sampling distribution scores standard deviation standard error standard normal sum of squares Suppose t-test test statistic Test the hypothesis theorem treatment trials Z-score