20060301
7-9-1
Tests
7-9 Te
s
t
s
The following is a list of tests, and a description of what each one tests for.
Z
Test
Description
Test Name
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
2-Sample
Z
Test
1-Prop
Z
Test
2-Prop
Z
Test
t
Test
Used instead of the
Z
Test when the population standard deviation
is unknown.
1-Sample
t
Test
2-Sample
t
Test
Linear Regression
t
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.
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.
Tests a single sample proportion against the known proportion of
the null hypothesis.
The normal distribution is used for the 1-Prop
Z
test.
Tests the difference between two sample proportions.
The normal distribution is used for the 2-prop
Z
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.
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.
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.
Summary of Contents for ClassPad 330
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