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20060301
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.
Test Command List
k
Z
Test
1-Sample
Z
Test
Menu: [Test]-[One-Sample ZTest][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 =
o
—
0
n
o
: sample mean
μ
0
: assumed population mean
σ
: population standard deviation
n
: sample size
Definition of Terms
μ
condition : population mean value test conditions (“
≠
” specifies two-tail test,
“<”specifies lower one-tail test, “>” specifies upper one-tail test.)
μ
0
: assumed population mean
σ
: population standard deviation (
σ
> 0)
List : data list
Freq : frequency (1 or list name)
o
: sample mean
n
: sample size (positive integer)
7-9-2
Tests
ANOVA
Tests the hypothesis that the population means of multiple
populations are equal.
One-Way ANOVA
Two-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.
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.
Description
Test Name
20070301