途央兔心璞

统计学基础的话，会学概率，集中量数和差量（Measure of central tendency and dispersion），随机变量（discrete and continuous random variables)，t分布(t-distribution)，抽样（各种sampling)，假设检验 （Hypothesis testing），chi-square distribution，contingency tables基础的差不多就以上那些。看你要拿到哪个level的。如果你要拿第三年或以上的统计学，还会有这些：Sample spaces and the algebra of sets. Kolmogorov axioms for probability. Probability density/distribution functions (pdfs) and cumulative distribution functions (cdfs). Joint and marginal pdfs. Combining and transforming random variables. Moment generating functions (mgfs) and factorial generating functions. Applications to discrete and continuous random variables. Central limit theorem. Order statistics. Estimating parameters and the fitting of probability distributions. Maximum likelihood estimators and the method of moments. Properties of estimators, including unbiasedness, sufficiency, and consistency. Large sample theory for estimators. Concepts and theory of statistical hypothesis testing. Distributions derived from the Normal distribution. Comparing two samples through hypothesis tests and confidence intervals. Analysis of variance and linear regression. Basic principles of experimental design. Completely randomized designs. Complete and incomplete block designs. Regression. Analysis of variance and analysis with covariates. Contrasts and multiple comparisons. Factorial models. Random effects and fixed effects. Nested designs, split plot designs and related designs. 等等