ShapiroFranciaTest: Shapiro-Francia Test for Normality
Description
Performs the Shapiro-Francia test for the composite hypothesis of normality.
Usage
ShapiroFranciaTest(x)
Value
A list of class htest, containing the following components:
statistic
the value of the Shapiro-Francia statistic.
p.value
the p-value for the test.
method
the character string “Shapiro-Francia normality test”.
data.name
a character string giving the name(s) of the data.
Arguments
x
a numeric vector of data values, the number of
which must be between 5 and 5000. Missing values are allowed.
Author
Juergen Gross <gross@statistik.uni-dortmund.de>
Details
The test statistic of the Shapiro-Francia test is simply the
squared correlation between the ordered sample values and the (approximated)
expected ordered quantiles from the standard normal
distribution. The p-value is computed from the formula given by Royston (1993).
References
Royston, P. (1993): A pocket-calculator algorithm for the
Shapiro-Francia test for non-normality: an application to medicine.
Statistics in Medicine, 12, 181--184.
Thode Jr., H.C. (2002): Testing for Normality. Marcel Dekker, New York. (2002, Sec. 2.3.2)
See Also
shapiro.test for performing the Shapiro-Wilk test for normality.
AndersonDarlingTest, CramerVonMisesTest,
LillieTest, PearsonTest for performing further tests for normality.
qqnorm for producing a normal quantile-quantile plot.