7-9-1 Tests

7-9 Tests

The following is a list of tests, and a description of what each one tests for.

 

Test NameDescription

 

 

 

Z Test

The Z Test provides a variety of different tests based on standard

 

 

deviation based tests. They make it possible to test whether or not

 

 

a sample accurately represents the population when the standard

 

 

deviation of a population (such as the entire population of a

 

 

country) is known from previous tests.

 

 

 

 

1-Sample Z Test

Tests a single sample mean against the known mean of the null

 

 

hypothesis when the population standard deviation is known.

 

 

The normal distribution is used for the 1-sample Z test.

 

 

 

 

2-Sample Z Test

Tests the difference between two means when the standard

 

 

deviations of the two populations are known.

 

 

The normal distribution is used for the 2-sample Z test.

 

 

 

 

1-Prop Z Test

Tests a single sample proportion against the known proportion of

 

 

the null hypothesis.

 

 

The normal distribution is used for the 1-Prop Z test.

 

 

 

 

2-Prop Z Test

Tests the difference between two sample proportions.

 

 

The normal distribution is used for the 2-prop Z test.

 

 

 

t Test

Used instead of the Z Test when the population standard deviation

 

 

is unknown.

 

 

 

 

1-Sample t Test

Tests a single sample mean against the known mean of the null

 

 

hypothesis when the population standard deviation is unknown.

 

 

The t distribution is used for the 1-sample t test.

 

 

 

 

2-Sample t Test

Tests the difference between two means when the standard

 

 

deviations of the two populations are unknown.

 

 

The t distribution is used for the 2-sample t test.

 

 

 

 

Linear Regression t Test

Tests the linear relationship between the paired variables (x, y). The

 

 

method of least squares is used to determine a and b, which are the

 

 

coefficients of the regression formula y = a + bx. The p-value is the

 

 

probability of the sample regression slope (b) provided that the null

 

 

hypothesis is true, = 0.

 

 

The t distribution is used for the linear regression t test.

 

 

 

2 Test

Tests the independence of two categorical variables arranged in

 

 

matrix form. The 2 test for independence compares the observed

 

 

matrix to the expected theoretical matrix.

 

 

The 2 distribution is used for the 2 test.

2-Sample F Test

Tests the ratio between sample variances of two independent

 

 

random samples.

 

 

The F distribution is used for the 2-sample F test.

 

 

 

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