Distribution functions

Text explaining this chapter

• Distributions related to multiple comparisons of means
  • Normal maximum distribution, \(\rho_{ij, i \ne j} = \rho\): pdf, cdf, qtf, boost class
    • math53lib.NmaxRhoPdf()
    • math53lib.NmaxRhoCdf()
    • math53lib.NmaxRhoQtf()
    • math53lib.NmaxRhoDist()
  • Normal maximum modulus distribution, \(\rho_{ij, i \ne j} = \rho\): pdf, cdf, qtf, boost class
    • math53lib.NmmRhoPdf()
    • math53lib.NmmRhoCdf()
    • math53lib.NmmRhoQtf()
    • math53lib.NmmRhoDist()
  • Normal maximum distribution, \(\rho_{ij, i \ne j} = \lambda_i \lambda_j\): pdf, cdf, qtf, boost class
    • math53lib.NmaxRhoijPdf()
    • math53lib.NmaxRhoijCdf()
    • math53lib.NmaxRhoijQtf()
    • math53lib.NmaxRhoijDist()
  • Normal maximum modulus distribution, \(\rho_{ij, i \ne j} = \lambda_i \lambda_j\): pdf, cdf, qtf, boost class
    • math53lib.NmmRhoijPdf()
    • math53lib.NmmRhoijCdf()
    • math53lib.NmmRhoijQtf()
    • math53lib.NmmRhoijDist()
  • Normal range distribution: pdf, cdf, qtf, boost class
    • math53lib.NrangePdf()
    • math53lib.NrangeCdf()
    • math53lib.NrangeQtf()
    • math53lib.NrangeDist()
  • Studentized maximum distribution: pdf, cdf, qtf, boost class
    • math53lib.SmaxPdf()
    • math53lib.SmaxCdf()
    • math53lib.SmaxQtf()
    • math53lib.SmaxDist()
  • Studentized maximum modulus distribution: pdf, cdf, qtf, boost class
    • math53lib.SmmPdf()
    • math53lib.SmmCdf()
    • math53lib.SmmQtf()
    • math53lib.SmmDist()
  • Dunnett \(t\)-distribution, 1-sided: pdf, cdf, qtf, boost class
    • math53lib.Dunnett1Pdf()
    • math53lib.Dunnett1Cdf()
    • math53lib.Dunnett1Qtf()
    • math53lib.Dunnett1Dist()
  • Dunnett \(t\)-distribution, 2-sided: pdf, cdf, qtf, boost class
    • math53lib.Dunnett2Pdf()
    • math53lib.Dunnett2Cdf()
    • math53lib.Dunnett2Qtf()
    • math53lib.Dunnett2Dist()
  • Nair \(t\)-distribution: pdf, cdf, qtf, boost class
    • math53lib.NairPdf()
    • math53lib.NairCdf()
    • math53lib.NairQtf()
    • math53lib.NairDist()
  • Halperin \(t\)-distribution: pdf, cdf, qtf, boost class
    • math53lib.HalperinPdf()
    • math53lib.HalperinCdf()
    • math53lib.HalperinQtf()
    • math53lib.HalperinDist()
  • Studentized range distribution: pdf, cdf, qtf, boost class
    • math53lib.StdrangePdf()
    • math53lib.StdrangeCdf()
    • math53lib.StdrangeQtf()
    • math53lib.StdrangeDist()
• Discrete (lattice) distribution functions related to (stratified) rank tests
  • Kendall \(S\) (or tau) distribution (under \(H_0\)), pmf vector
    • math53lib.KendallTauPmfVector()
  • Mann-Whitney \(U\) distribution (under \(H_0\)), pmf vector
    • math53lib.MannWhitneyUPmfVector()
  • Jonckheere-Terpsta \(S\) distribution (under \(H_0\)), pmf vector
    • math53lib.JTerpstaSPmfVector()
  • Spearman \(\rho\) distribution (under \(H_0\)), pmf vector
    • math53lib.SpearmanRhoPmfVector()
  • Sign test distribution (under \(H_0\)), pmf vector
    • math53lib.SigntestPmfVector()
  • Wilcoxon \(T\) distribution (under \(H_0\)), pmf vector
    • math53lib.WilcoxonPmfVector()
  • Page \(L\) distribution (under \(H_0\)), pmf vector
    • math53lib.PageLPmfVector()
  • Quade \(L\) distribution (under \(H_0\)), pmf vector
    • math53lib.QuadeLPmfVector()
• Discrete (non-lattice) distribution functions related to rank tests
  • Cochran \(S\) distribution (under \(H_0\)), pmf vector
    • math53lib.cochran_s_pmf_vector()
  • Friedman \(S\) distribution (under \(H_0\)), pmf vector
    • math53lib.friedman_s_pmf_vector()
  • Quade \(S\) distribution (under \(H_0\)), pmf vector
    • math53lib.quade_s_pmf_vector()