The curve is nonsymmetrical and skewed to the right.
There is a different chi-square curve for each
.
The test statistic for any test is always greater than or equal to zero.
When
, the chi-square curve approximates the normal. For
~
the mean,
and the standard deviation,
.
Therefore,
~
, approximately.
The mean,
, is located just to the right of the peak.
In the next sections, you will learn about an
application of the Chi-Square Distribution: The Test of Independence. This hypothesis test isalmost always right-tailed tests. In order to understand why the tests are
mostly right-tailed, you will need to look carefully at the actualdefinition of the test statistic. Think about the following while you
study the next sections. If the expected and observed values are"far" apart, then the test statistic will be "large" and we will reject in
the right tail. The only way to obtain a test statistic very close tozero, would be if the observed and expected values are very, very close to
each other. A left-tailed test could be used to determine if the fit were"too good." A "too good" fit might occur if data had been manipulated or
invented. Think about the implications of right-tailed versus left-tailedhypothesis tests as you learn the applications of the Chi-Square
Distribution.
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
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Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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