MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Calculate the Chi-square following instructions either in Excel or Google sheets

**Educational Content on Chi-square Analysis**

**Example from A. Field: "Discovering Statistics"**

The chi-square statistic is widely used to test whether two categorical variables forming a contingency table are associated. This involves cross-classification to observe the distribution of data across categories.

A contingency table displays the data with levels of each variable arranged in a grid. The number of observations for each category is noted in the cells.

**Example Explanation:**

Suppose we examine the categorical variables of learning statistics (forced to learn or not) and depression (diagnosis or no diagnosis). The table below illustrates this relationship:

| Depression      | Learn Statistics | No Statistics | Total |
|-----------------|------------------|---------------|-------|
| Diagnosis       | 150              | 48            | 198   |
| No Diagnosis    | 5                | 423           | 428   |
| Total           | 155              | 471           | 626   |

This data shows that out of 155 people who learned statistics, 150 were diagnosed with depression, whereas only 48 out of 471 people who did not learn statistics were diagnosed. A chi-square test helps to determine if this relationship is statistically significant.

**Task:**

Calculate the chi-square using Excel or Google Sheets.
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Transcribed Image Text:**Educational Content on Chi-square Analysis** **Example from A. Field: "Discovering Statistics"** The chi-square statistic is widely used to test whether two categorical variables forming a contingency table are associated. This involves cross-classification to observe the distribution of data across categories. A contingency table displays the data with levels of each variable arranged in a grid. The number of observations for each category is noted in the cells. **Example Explanation:** Suppose we examine the categorical variables of learning statistics (forced to learn or not) and depression (diagnosis or no diagnosis). The table below illustrates this relationship: | Depression | Learn Statistics | No Statistics | Total | |-----------------|------------------|---------------|-------| | Diagnosis | 150 | 48 | 198 | | No Diagnosis | 5 | 423 | 428 | | Total | 155 | 471 | 626 | This data shows that out of 155 people who learned statistics, 150 were diagnosed with depression, whereas only 48 out of 471 people who did not learn statistics were diagnosed. A chi-square test helps to determine if this relationship is statistically significant. **Task:** Calculate the chi-square using Excel or Google Sheets.
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