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Mathematica > Data Manipulation > Statistical Data Analysis > Hypothesis Tests > AlternativeHypothesis >
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AlternativeHypothesis

AlternativeHypothesis
is an option for hypothesis testing functions like LocationTest that specifies the alternative hypothesis.
MORE INFORMATION
  • For a hypothesis test with test statistic , AlternativeHypothesis can be used to test the null hypothesis against particular alternatives .
  • Typical settings include:
"Unequal" and
"Less" and
"Greater" and
EXAMPLESCLOSE ALL
Basic Examples   (2)
Perform a two-sided test for location:
The setting is chosen by default:
Perform one of the two one-sided alternatives:
Perform a two-sided test for location:
In[1]:=
Click for copyable input
In[2]:=
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Out[2]=
The setting is chosen by default:
In[3]:=
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Out[3]=
 
Perform one of the two one-sided alternatives:
In[1]:=
Click for copyable input
In[2]:=
Click for copyable input
Out[2]=
In[3]:=
Click for copyable input
Out[3]=
Properties & Relations   (3)
The -value from a two-sided test is twice the smaller one-sided -value:
The interpretation of a two-sided test:
The -value can be interpreted as an area under the distribution of the test statistic:
Interpretation of both one-sided alternatives:
The areas are equivalent to the -values returned by the test:
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