7-9-2 Tests

 

Test Name

Description

 

 

ANOVA

Tests the hypothesis that the population means of multiple

 

 

populations are equal.

 

 

 

 

One-Way ANOVA

Tests the ratio between the variation in sample means of several

 

 

populations compared to variation among the units within the

 

 

individual samples in a single factor experiment.

 

 

The F distribution is used for the one-way ANOVA test.

 

 

 

 

Two-Way ANOVA

Tests the ratio between the variation among the levels compared to

 

 

variation within the treatments in a two factor experiment.

 

 

The F distribution is used for the two-way ANOVA test.

 

 

 

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 :

λ

Indicates a space.

Test Command ListIZ Test1-Sample Z TestMenu: [Test]-[One-Sample ZTest]

Description: Tests a hypothesis relative to a population mean when population standard deviation is known. A 1-Sample Z Test is used for normal distribution.

Z =

M — 0

M

: sample mean
μ0 : assumed population mean

 

 

 

 

 

 

 

 

 

 

 

σ

: population standard deviation

 

 

 

 

 

 

 

 

 

n

 

 

 

 

 

n : sample size

Definition of Termsμcondition : population mean value test conditions (“ξ” specifies two-tail test,

 

“<”specifies lower one-tail test, “>” specifies upper one-tail test.)

μ0 :

assumed population mean
σ :population standard deviation (σ > 0)
List :data list
Freq :frequency (1 or list name)
M :sample mean
n :sample size (positive integer)

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