Many Shapiro-Francia normality tests
Many Shapiro-Francia normality tests.
sftests(x, logged = FALSE) sftest(x, logged = FALSE)
x |
A matrix with the data, where the rows denote the observations and the columns are the variables. In the case of a single sample, then this must be a vector and "sftest" is to be used. |
logged |
Should the p-values be returned (FALSE) or their logarithm (TRUE)? |
The Shapiro-Francia univariate normality test is performed for each column (variable) of the matrix x.
A matrix with the squared correlation between the ordered values and the standard normal ordered statistics, the test statistic and the p-value of each test. If the "sftest" has been used, the output is a vector with these three elements.
Michail Tsagris
R implementation and documentation: Michail Tsagris <mtsagris@yahoo.gr> and Manos Papadakis <papadakm95@gmail.com>.
Royston J. P. (1983). A simple method for evaluating the Shapiro-Francia W' test of non-normality. The Statistician, 32(3): 297-300.
Mbah A. K. & Paothong A. (2015). Shapiro-Francia test compared to other normality test using expected p-value. Journal of Statistical Computation and Simulation, 85(15): 3002-3016.
x <- matrnorm(200, 100) system.time( sftests(x) ) a <- sftests(x) mean(a[, 3]<0.05) x <- rnorm(100) res<-sftest(x)
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