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MATH 411  Statistics II

 

Course Outline

1.  Probability Distributions (Review and Continuation)

            Bernoulli and Binomial Distributions

            Hypergeometric Distribution

            Poisson Distribution

            Negative Binomial Distribution

            Normal Distribution

            Gamma Distribution

            Beta Distribution

            Multinomial Distribution

            t Distribution

            F Distribution

            P2 Distribution

            Bivariate Normal Distribution

 

2.  Estimation

            Prior and Posterior Distributions

            Conjugate Prior Distribution of a Sampling Distribution

            Bayes Estimators

            Maximum Likelihood Estimators

           

 

3.  Sampling Distribution of Estimators

            Sampling Distributions

Independence of the Sample Mean and the Sample Variance in Normal and t-distributions

Confidence Intervals for Means of Normal Distributions

Unbiased Estimators

 

4.  Testing Hypotheses

            Testing Hypotheses

            Uniformly Most Powerful Tests

            Unbiased Tests and Confidence Sets

            t–Test for One Normal Mean

            F-Test to Compare Variances in Normal Populations

            t–Test for Comparing Two Normal Means

 

5.  Tests of Categorical Data

            P2 Tests for Categorized Data

            P2 Tests of Independence for Categorized Data

 

6.  Linear Statistical Models

            P2 Tests of Homogeneity for Categorized Data

            The Method of Least Squares

            Simple Linear Regression Models

Hypothesis Testing and Interval Estimation for Simple Linear Regression

            One-Way Analysis of Variance

            Two-Way Analysis of Variance

 

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