{"id":212563,"date":"2025-04-07T12:02:02","date_gmt":"2025-04-07T12:02:02","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/how-do-you-calculate-the-expected-value-in-chi-square\/"},"modified":"2025-04-07T12:02:02","modified_gmt":"2025-04-07T12:02:02","slug":"how-do-you-calculate-the-expected-value-in-chi-square","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-do-you-calculate-the-expected-value-in-chi-square\/","title":{"rendered":"How do you calculate the expected value in chi-square?"},"content":{"rendered":"

When conducting a chi-square test, one of the key steps is to calculate the expected values. The expected value represents the number of observations that would be expected in each category if the null hypothesis were true. In order to calculate the expected value, follow these steps:<\/p>\n

1. **Determine the total number of observations in the sample.**
\n2. **Observe the proportions or probabilities expected under the null hypothesis for each category.**
\n3. **Multiply the total number of observations by the expected proportions or probabilities to obtain the expected count for each category.**
\n4. **Repeat this process for all categories.**<\/p>\n

For a better understanding, let’s consider an example:<\/p>\n

Suppose we have a sample of 200 individuals, and we are interested in whether there is an association between gender and smoking status. We determine the following observed counts:<\/p>\n

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