
7-9 Tests
The following is a list of tests, and a description of what each one tests for.
| Test Name | Description |
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Z Test | The Z Test provides a variety of different tests based on standard | |
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| deviation based tests. They make it possible to test whether or not |
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| a sample accurately represents the population when the standard |
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| deviation of a population (such as the entire population of a |
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| country) is known from previous tests. |
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| Tests a single sample mean against the known mean of the null | |
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| hypothesis when the population standard deviation is known. |
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| The normal distribution is used for the |
| Tests the difference between two means when the standard | |
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| deviations of the two populations are known. |
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| The normal distribution is used for the |
| Tests a single sample proportion against the known proportion of | |
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| the null hypothesis. |
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| The normal distribution is used for the |
| Tests the difference between two sample proportions. | |
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| The normal distribution is used for the |
t Test | Used instead of the Z Test when the population standard deviation | |
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| is unknown. |
| Tests a single sample mean against the known mean of the null | |
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| hypothesis when the population standard deviation is unknown. |
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| The t distribution is used for the |
| Tests the difference between two means when the standard | |
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| deviations of the two populations are unknown. |
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| The t distribution is used for the |
| Linear Regression t Test | Tests the linear relationship between the paired variables (x, y). The |
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| method of least squares is used to determine a and b, which are the |
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| coefficients of the regression formula y = a + bx. The |
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| probability of the sample regression slope (b) provided that the null |
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| hypothesis is true, = 0. |
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| The t distribution is used for the linear regression t test. |
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χ2 Test | Tests the independence of two categorical variables arranged in | |
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| matrix form. The χ2 test for independence compares the observed |
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| matrix to the expected theoretical matrix. |
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| The χ2 distribution is used for the χ2 test. |
Tests the ratio between sample variances of two independent | ||
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| random samples. |
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| The F distribution is used for the |
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