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MA 331
MA 331 -- Mathematical Probability and Statistics I
Software: Winks - Kwikstat Windows 4.5
- Introduction to Statistics
a) Nature of statistical data
b) Frequency distributions
c) Graphical presentations
- Descriptive Statistics
a) Mean, median, mode, fractiles
b) Variance, standard deviation
- Probability
a) Sample spaces and probability laws
b) Conditional probability and independence of events
c) Bayes' Rule
d) Random sampling
- Random Variables and their Probability Distributions
a) Binomial, geometric, hypergeometric, Poisson
b) Expected value
c) Normal distributions
d) The Central Limit Theorem
- Estimation
a) Large and small sample confidence intervals
b) Selecting the sample size
- Hypothesis Testing
a) Large and small sample methods
b) Tests for means and proportions
c) Tests for differences of means and proportions
- Analysis of Variance, Correlation and Regression
a) ANOVA - assumptions and test
b) Correlation analysis
c) Linear regression
d) Multiple regression
- Chi-Square Distribution and Nonparametric Methods
a) Goodness-of-fit tests
b) Contingency table analysis
c) Nonparametric tests
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