Computes a Monte Carlo p-value (250,000 replications) for the null hypothesis that the sample data come from a normal distribution. If the p-value is small (e.g., less than .05) and the skewness estimate is positive, then the normality assumption can be rejected due to positive skewness. If the p-value is small (e.g., less than .05) and the skewness estimate is negative, then the normality assumption can be rejected due to negative skewness.

test.skew(y)

Arguments

y

vector of quantitative scores

Value

Returns a 1-row matrix. The columns are:

  • Skewness - estimate of skewness coefficient

  • p - Monte Carlo two-sided p-value

Examples

y <- c(30, 20, 15, 10, 10, 60, 20, 25, 20, 30, 10, 5, 50, 40, 95)
test.skew(y)
#>  Skewness      p
#>    1.5201 0.0072

# Should return:
# Skewness      p
#   1.5201 0.0067