1. Introduction
1.1 Population and sample
1.2 Frequency distribution
1.3 Measures of central tendency : mean, median, mode
1.4 Measures of dispersion : range, variance, standard deviation, coefficient
of variation
1.5 Measures of relative standing : percentile, quartile decile
1.6 Terminology for distributional shapes : skewness, kurtosis
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2. Probability Distributions
2.1 Some basic probability ideas
2.2 Random variables and their probability distributions
2.3 Binomial distribution
2.4 Poisson distribution
2.5 Normal distribution
3. Sampling Distributions
3.1 Sample survey methods
3.2 Simple random sampling
3.3 Sampling distribution of a statistic
3.4 The central limit theorem
4. Statistical Inference
4.1 Estimation
4.1.1 Point estimation v.s. interval estimation
4.1.2 good estimator
4.2 Hypothesis Tests
4.2.1 Statistical tests
4.2.2 type I and type II errors
4.2.3 level of significance and p value
4.4.4 one-tailed and two-tailed tests
4.3 Relationship between tests and confidence intervals
5. Inferences for One Population
5.1 Inferences about a population mean
5.2 Inferences about a population proportion
5.3 Inferences about a population variance
5.4 Determining the size of the sample
6. Inferences for Two Populations
6.1 Inferences about the differences between the means of two populations
- independent samples
- matched pair sample
6.3 Inferences about the difference between the proportions of two populations
6.4 Inferences about ratio of two population variances
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7. Analysis of Variance
7.1 Introduction to analysis of variance
7.2 Test for equality of population means
8. Analysis of Categorical Data
8.1 Goodness of fit test
8.2 Test of homogeneity
8.3 Test of independence
9. Regression Analysis
9.1 Simple linear regression
9.2 Standard deviation of linear regression
9.3 Tests of regression coefficient
9.4 Simple linear correlation