Definition:Chi-Squared Test/Goodness of Fit/Continuous Distribution
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Definition
The $\chi$-squared test for goodness of fit can be adapted for grouped data from a continuous probability distribution for when these are the only data there are.
However, if individual observations are available, they should not be arbitrarily grouped together simply so that the test can be applied, because the outcome of the test is not independent of the choice of class intervals.
Some groupings may lead to a significant value for the $\chi$-squared statistic, while others may not.
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Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): chi-squared test: 1.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): chi-squared test: 1.