chi square test for normality in r


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  • How is chi squared related to normal?

    The degrees of freedom of the distribution is equal to the number of standard normal deviates being summed.
    Therefore, Chi Square with one degree of freedom, written as χ2(1), is simply the distribution of a single normal deviate squared.

  • Which test to use for normality?

    The two well-known tests of normality, namely, the Kolmogorov–Smirnov test and the Shapiro–Wilk test are most widely used methods to test the normality of the data.

  • The value of the cell expecteds should be 5 or more in at least 80% of the cells, and no cell should have an expected of less than one (3).
    This assumption is most likely to be met if the sample size equals at least the number of cells multiplied by 5.

The chi-square goodness of fit test can be used to test the hypothesis that data comes from a normal hypothesis. In particular, we can use Property 2 of Goodness of Fit, to test the null hypothesis: H
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