## Week 11,
Basic Statistics:

Scales, distributions, variance, the normal distribution.

## Lecture notes

Key topics:

- Using numbers to represent “reality”:
- Key role in science
- Problems and potential political biases.

- Types of numbers:
- Scales:
*ratio, interval, ordinal, categorical* - Frequencies, frequency distributions

- Scales:
- Characterizing trends in data:
- measures of
*central tendency*; mean (*M*), mode, median. - measures
of
*variance*: range and**standard deviation**

- measures of
- The
*Normal distribution*& statistical decisions - The
*critical ratio*and hypothesis testing.

Understand all the italicized terms: they will be crucial to the entire statistics section.

The properties of the normal distribution in particular are central to this section.

The lecture notes are here.

Readings

**Text:**

Suggested background reading: Your basic statistics chapter(s).

Focus Modules:

You have multiple modules this week. Working though all of them will help you a lot in comprehending statistical analyses and logic:

Statistics module 1; Introduction and scales.

Statistics module 2; Z and the normal distribution.

Statistics module 3, Statistical reasoning; Plato's Allegory of the Cave

Statistics module 4; Testing hypotheses, the critical ratio

For lecture & Discussion Group:

## Discussion Group

**These are the data you will be using for your paper. You can make up data if you like - or use real data - but keep it as simple as this**.

Get a jump on the t-test you have due for next week (and to complete your paper) by going to the assignment for next week and begin working on it now.

**Take these data and follow the instructions for this week.**

Basic frequency distributions.