1.1 Definitions of Statistics, Probability, and Key Terms
Chapter Objectives
- Recognize and differentiate between key terms.
- Apply various types of sampling methods to data collection.
- Create and interpret frequency tables.
Assignment
- All vocabulary (see Key Terms for definitions)
- 1.1 Homework 45–56
- Read the next section in the book
Some advice
- These slides are available through Canvas (or my site)
- Don’t copy the slides
- Write down key ideas with a pen or pencil
- At the end, summarize what we covered with a pen or pencil
Intro
- The science of statistics deals with the collection, analysis, interpretation, and presentation of data
- Descriptive statistics: organizing and summarizing data
- Inferential statistics: drawing conclusions from “good” data and procedures
- “Good” is essential and should also extend to communicating those conclusions
- Bad statistics can have terrible consequences
Statistical Models
- Mathematical models describe real world phenomena
- Used only when values can be determined precisely
- Statistical models are used when precision is not available
- Mathematic functions still used, but instead to predict the likelihood of an event
Probability
- Mathematical tool used to study randomness
- Will look at this later in the course
- For now, determining the probability of rolling a 7 on a pair of dice is simple
- Determining the probability of someone being affected by a drug’s side-effect is insanely hard
- Need to rely on statistics and experiments, and those are used to generate probabilities and predictions
Some Key Terms
- Some of the terms you need to be familiar with
- A population is the group you want to study
- A sample is the group you can actually study, chosen through sampling
- Variables are characteristics or measurements, and can be numerical or categorical