How to Put Chi Square in Calculator Ti 83

Introduction

The chi square (χ²) test is a statistical method used to examine the differences between categorical variables in a sample. It's commonly used in research to determine whether there's a significant association between two variables.

While you can calculate chi square manually using the formula, using a calculator like the TI-83 can save time and reduce errors, especially when dealing with large datasets.

Chi Square Basics

The Chi Square Formula

The expected value (E) is calculated as (row total × column total) / grand total.

Degrees of freedom for a chi square test are calculated as (number of rows - 1) × (number of columns - 1).

TI-83 Calculator

The TI-83 calculator has built-in functions to calculate chi square values. The calculator can perform both the chi square test statistic and the p-value for the test.

To access the chi square functions, you'll need to use the TESTS menu on your calculator.

Step-by-Step Guide

Step 1: Enter Your Data

First, enter your observed data into the calculator. You can do this by entering each value manually or by using the list editor.

Step 2: Access the TESTS Menu

Press the [2ND] key, then the [TESTS] key to access the statistical tests menu.

Step 3: Select Chi Square Test

Scroll down to the "Chi" option and press [ENTER].

Step 4: Enter Test Parameters

You'll be prompted to enter:

• The number of rows in your data
• The number of columns in your data
• Your observed data values

Step 5: View Results

The calculator will display:

• The chi square test statistic
• The degrees of freedom
• The p-value

Worked Example

Let's look at an example to see how this works in practice.

Example Data

Calculating Chi Square

Using the formula:

Using the TI-83 Calculator

When you enter this data into your TI-83 calculator, it should return a chi square value close to 1.881.