# Advanced Statistics (AdvSTAT)

### Purpose:

The T^{3} ADV STAT Institute is a week long professional
development program for secondary mathematics instructors using the TI-83
to prepare for teaching a senior level statistics course. The Institute's
activities will focus on the exploration of statistical concepts and
problems that are the core of the Advanced Placement Statistics
Curriculum, with a strong emphasis on inferential statistics.
Participants will take part in hands-on investigations modeling effective
classroom use of technology for teaching statistics. The goal of the
institute's program is to instruct teachers to effectively teach Advanced
Placement Statistics using technology in the spirit of NCTM's
*Curriculum and Evaluation Standards for School Mathematics* (NCTM,
1989), *Professional Teaching Standards* (NCTM, 1991) and
*Assessment Standards for School Mathematics* (NCTM, 1995).

### Objectives:

The objectives of the T^{3} ADV STAT Institute are:
- To develop teachers' familiarity and facility with the TI-83,
- To provide models in the exploration/investigation mode of teaching
secondary mathematics,
- To provide teachers with experience in problem situations similar to
those on the Advanced Placement examination,
- To develop teachers' understanding of statistical processes and
reasoning,
- To provide examples and explorations that will be useful in preparing
students to pass an introductory university statistics course.

### Targeted Audience:

Participants in the ADV STAT institute should be those interested in
teaching statistics as a course or in teaching an Advanced Placement
course. Teachers of introductory statistics courses from two year or
community colleges might also find the content and examples useful.
Knowledge of beginning exploratory data analysis and probability will be
assumed.

### Schedule:

### Topic 1: Exploring Data

Summarizing data

One variable statistics

Standardized scores

Regression

### Topic 2: Experimental Design

Experiment, Observational Study

Types of Experiments

Effect of Extraneous Variables

Randomization

Bias

### Topic 3: Probability and Simulations

Probability Theory

Random Variables

Simulations

Random Binomials

### Topic 4: Normal Distribution

Standard Normal Curve

Normal Curves

Probability Density Functions

Cumulative Probability Density Functions

### Topic 5: Inferential Statistics

Confidence Intervals for Proportions

Central Limit Theorem

### Topic 6: Hypothesis Testing

Hypothesis Testing for Proportions

Hypothesis Testing for Means

Chi-Square Tests

Inference for Regression

**Author:**
* Calvin L. Williams,
Mathematical Sciences-Clemson University,
Clemson University*

**Last updated:**
*February 23, 1999 *

**Send Comments to :**
*calvinw@math.clemson.edu*