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 excess kurtosis is positive, then the normality assumption can be rejected due to leptokurtosis. If the p-value is small (e.g., less than .05) and excess kurtosis is negative, then the normality assumption can be rejected due to platykurtosis.

test.kurtosis(y)

Arguments

y

vector of quantitative scores

Value

Returns a 1-row matrix. The columns are:

  • Kurtosis - estimate of kurtosis coefficient

  • Excess - estimate of excess kurtosis (kurtosis - 3)

  • 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.kurtosis(y)
#>  Kurtosis Excess      p
#>    4.8149 1.8149 0.0394

# Should return:
# Kurtosis  Excess      p
#   4.8149  1.8149 0.0385