Introduction
This web-based material is introduced for an introductory statistical method course, and the interactive approach is designed for students to learn a nature of statistical investigation in an intelligible way. Throughout the interactive content we will develop the underlying statistical concepts: nature of statistical studies and data preparation, data exploration and description, probability distributions, point estimates and confidence intervals, and the Neyman-Pearson framework of hypothesis testing. This permits us to unify various methodologies in data analysis: graphical and numerical techniques of data description, inference of mean, comparison of two population, and inference on variance.
It may take a few seconds (a few minutes outside TTU) to download the webcast content.
| Title | Summary of presentation | Webcast |
| Introduction | Introduce e-Statistics |
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| Data in statistical studies | Learn how to use data in e-statistics |
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| Preparing histogram from data | Learn how to prepare the histogram from data |
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| Characterizing histogram | Learn how to describe the shape of histogram |
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| Stem and leaf plot | Learn about stem and leaf plot |
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| Measures of center | Learn the measures of center, mean and median, and discuss their properties |
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| Measures of variability | Learn the measure of variability, standard deviation, and coefficient of variation, and discuss empirical rules |
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| Quartiles and boxplot | Introduce another measure of variability, quartles, interquartile range, and learn how to use a boxplot as a schematic presentation of data |
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| Grouped data | Learn how to explore the grouped data graphically in boxplot and numerically in summary statistics |
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| Frequency Function | Learn random variable, frequency function, and the concept of probability distribution |
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| Binomial Distribution | Learn about binomial experiment and binomial distribution |
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| Normal Density Function | Learn the concept of probability distribution and normal density function |
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| Normal Distribution and Critical Point | Learn how to calculate the probability from the normal density function, discuss the empirical rules, and introduce the concept of critical point |
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| Z-score | Explain the idea of z-socre, and learn how to use it |
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| Central Limit Theorem | Explore the idea of central limit theorem and its effect |
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| Estimating the population mean | Introducing the estimation of mean and the confidence interval of mean. |
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Elluminate Live recordings were made during the class in Spring 2009,
and they are still available online.
Click the link under "Recordings" column.
At the linked page, type "math3070" for password.
This will enable you to access the recording.
| Topic | Notepad material | Recording |
| t-distribution and confidence interval | 02/25/09 | |
| Concept of hypothesis test | 02/27/09 | |
| Test statistics and critical point | 03/02/09 | |
| Procedure of hypothesis test | 03/04/09 | |
| Type II error and the power | 03/06/09 | |
| Type II error and the choice of sample size | 03/20/09 | |
| Statistical report writing: Introduction | 03/23/09 | |
| Statistical report writing: Statistical analysis | 03/25/09 | |
| Interpretation of the test result | 03/27/09 | |
| Comparison of two groups | 04/03/09 | |
| Two-sided test | 04/06/09 | |
| Two-sided test (continued) | 04/08/09 | |
| Two-sided test (continued) | 04/13/09 | |
| How to choose general or pooled t-test | 04/15/09 | |
| Limitation of t-test | 04/20/09 | |
| Procedure of Wilcoxon rank-sum test | 04/22/09 | |
| Limitation of nonparametric test | Included below | |
| Test for paired data | 04/24/09 |
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