Distributions related to multiple comparisons of means

• Overview and literature
• Normal maximum distribution, \(\rho_{ij, i \ne j} = \rho\)
  • ctx.dist_nmax_rho
  • dist_nmax_rho.pdf()
  • dist_nmax_rho.cdf()
  • dist_nmax_rho.sf()
  • dist_nmax_rho.qtf()
  • dist_nmax_rho.isf()
  • dist_nmax_rho.c_x()
  • dist_nmax_rho.m_x()
  • dist_nmax_rho.k_x()
  • dist_nmax_rho.moments()
  • dist_nmax_rho.cumulants()
• Normal maximum modulus distribution, \(\rho_{ij, i \ne j} = \rho\)
  • ctx.dist_nmm_rho
  • dist_nmm_rho.pdf()
  • dist_nmm_rho.cdf()
  • dist_nmm_rho.sf()
  • dist_nmm_rho.qtf()
  • dist_nmm_rho.isf()
  • dist_nmm_rho.c_x()
  • dist_nmm_rho.m_x()
  • dist_nmm_rho.k_x()
  • dist_nmm_rho.moments()
  • dist_nmm_rho.cumulants()
• Normal maximum distribution, \(\rho_{ij, i \ne j} = \lambda_i \lambda_j\)
  • ctx.dist_nmax_rhoij
  • dist_nmax_rhoij.pdf()
  • dist_nmax_rhoij.cdf()
  • dist_nmax_rhoij.sf()
  • dist_nmax_rhoij.qtf()
  • dist_nmax_rhoij.isf()
  • dist_nmax_rhoij.c_x()
  • dist_nmax_rhoij.m_x()
  • dist_nmax_rhoij.k_x()
  • dist_nmax_rhoij.moments()
  • dist_nmax_rhoij.cumulants()
• Normal maximum modulus distribution, \(\rho_{ij, i \ne j} = \lambda_i \lambda_j\)
  • ctx.dist_nmm_rhoij
  • dist_nmm_rhoij.pdf()
  • dist_nmm_rhoij.cdf()
  • dist_nmm_rhoij.sf()
  • dist_nmm_rhoij.qtf()
  • dist_nmm_rhoij.isf()
  • dist_nmm_rhoij.c_x()
  • dist_nmm_rhoij.m_x()
  • dist_nmm_rhoij.k_x()
  • dist_nmm_rhoij.moments()
  • dist_nmm_rhoij.cumulants()
• Normal range distribution
  • ctx.dist_normal_range
  • dist_normal_range.pdf()
  • dist_normal_range.cdf()
  • dist_normal_range.sf()
  • dist_normal_range.qtf()
  • dist_normal_range.isf()
  • dist_normal_range.c_x()
  • dist_normal_range.m_x()
  • dist_normal_range.k_x()
  • dist_normal_range.moments()
  • dist_normal_range.cumulants()
• Studentized maximum distribution
  • ctx.dist_smax
  • dist_smax.pdf()
  • dist_smax.cdf()
  • dist_smax.sf()
  • dist_smax.qtf()
  • dist_smax.isf()
  • dist_smax.c_x()
  • dist_smax.m_x()
  • dist_smax.k_x()
  • dist_smax.moments()
  • dist_smax.cumulants()
• Studentized maximum modulus distribution
  • ctx.dist_smm
  • dist_smm.pdf()
  • dist_smm.cdf()
  • dist_smm.sf()
  • dist_smm.qtf()
  • dist_smm.isf()
  • dist_smm.c_x()
  • dist_smm.m_x()
  • dist_smm.k_x()
  • dist_smm.moments()
  • dist_smm.cumulants()
• Distribution of Dunnett’s \(t\), one-sided
  • ctx.dist_dunnett1_t
  • dist_dunnett1_t.pdf()
  • dist_dunnett1_t.cdf()
  • dist_dunnett1_t.sf()
  • dist_dunnett1_t.qtf()
  • dist_dunnett1_t.isf()
  • dist_dunnett1_t.c_x()
  • dist_dunnett1_t.m_x()
  • dist_dunnett1_t.k_x()
  • dist_dunnett1_t.moments()
  • dist_dunnett1_t.cumulants()
• Distribution of Dunnett’s \(t\), two-sided
  • ctx.dist_dunnett2_t
  • dist_dunnett2_t.pdf()
  • dist_dunnett2_t.cdf()
  • dist_dunnett2_t.sf()
  • dist_dunnett2_t.qtf()
  • dist_dunnett2_t.isf()
  • dist_dunnett2_t.c_x()
  • dist_dunnett2_t.m_x()
  • dist_dunnett2_t.k_x()
  • dist_dunnett2_t.moments()
  • dist_dunnett2_t.cumulants()
• Nair’s \(t\)-distribution
  • ctx.dist_nair_t
  • dist_nair_t.pdf()
  • dist_nair_t.cdf()
  • dist_nair_t.sf()
  • dist_nair_t.qtf()
  • dist_nair_t.isf()
  • dist_nair_t.c_x()
  • dist_nair_t.m_x()
  • dist_nair_t.k_x()
  • dist_nair_t.moments()
  • dist_nair_t.cumulants()
• Halperin’s \(t\)-distribution
  • ctx.dist_halperin_t
  • dist_halperin_t.pdf()
  • dist_halperin_t.cdf()
  • dist_halperin_t.sf()
  • dist_halperin_t.qtf()
  • dist_halperin_t.isf()
  • dist_halperin_t.c_x()
  • dist_halperin_t.m_x()
  • dist_halperin_t.k_x()
  • dist_halperin_t.moments()
  • dist_halperin_t.cumulants()
• Nelson’s \(h\)-distribution
  • ctx.dist_nelson_h
  • dist_nelson_h.pdf()
  • dist_nelson_h.cdf()
  • dist_nelson_h.sf()
  • dist_nelson_h.qtf()
  • dist_nelson_h.isf()
  • dist_nelson_h.c_x()
  • dist_nelson_h.m_x()
  • dist_nelson_h.k_x()
  • dist_nelson_h.moments()
  • dist_nelson_h.cumulants()
• Studentized range distribution
  • ctx.dist_studentized_range
  • dist_studentized_range.pdf()
  • dist_studentized_range.cdf()
  • dist_studentized_range.sf()
  • dist_studentized_range.qtf()
  • dist_studentized_range.isf()
  • dist_studentized_range.c_x()
  • dist_studentized_range.m_x()
  • dist_studentized_range.k_x()
  • dist_studentized_range.moments()
  • dist_studentized_range.cumulants()