7-9-1 Tests

7-9 Tests

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

Test Name

Description

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

Z Testsample 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 hypothesis relative to a population mean when population

 

standard deviation is known.

 

 

 

 

 

 

2-Sample Z Test

Compares the population means of two populations when

 

population standard deviation is known.

 

 

 

 

 

 

1-Prop Z Test

Tests whether successes achieve a fixed proportion.

 

 

 

 

2-Prop Z Test

Compares the proportion of successes for two populations.

 

 

 

t Test

Used instead of the Z Test when the population standard deviation

is unknown.

 

 

 

1-Sample t Test

Tests a hypothesis relative to a population mean when population

 

standard deviation is unknown.

 

 

 

 

 

 

2-Sample t Test

Compares the population means of two populations when

 

population standard deviation is unknown.

 

 

 

 

 

 

Linear Regression t Test

Calculates the strength of the linear association of paired data.

 

 

Tests hypotheses concerning the proportion of samples included in

χ2 Test

each of a number of independent groups. Mainly, the χ2 Test

generates cross-tabulation of two categorical variables (such as

 

 

 

 

“yes” and “no”), and evaluates the independence of the variables.

 

 

 

2-Sample F Test

Tests hypotheses concerning the ratio of the population variance of

two populations.

 

 

 

 

 

ANOVA

Tests the hypothesis that the population means of multiple

populations are equal.

 

 

 

One-Way ANOVA

Compares the mean of one or more groups based on one

 

independent variable or factor.

 

 

 

 

 

 

Two-Way ANOVA

Compares the mean of one or more groups based on two

 

independent variables or factors.

 

 

The following pages explain how to perform various statistical calculations based on the above principles. Further details about statistical theory and terminology can be found in any standard statistics textbook.

Tip

•Always make sure you insert one space between a command and its parameters. In the following examples, spaces are indicated as shown below.

Command: OneSampleZTest ￿

↑

Indicates a space.

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