Inferential statistics

General concepts

See also: https://en.wikipedia.org/wiki/Power_of_a_test

See also: https://en.wikipedia.org/wiki/Sample_size_determination

Inferential statistics

• Basic classical statistical tests (stratified)
  • Student t-test for 1 sample: tests (p-values) and confidence intervals
    • ctx.student_t_1sample_test()
  • Student t-test for 1 sample: power calculations
    • ctx.student_t_1sample_power()
  • Student t-test for 1 sample: sample size calculation
    • ctx.student_t_1sample_samplesize()
  • Chi-squared-test for the variance of 1 sample: tests (p-values)
    • ctx.chi2_variance_1sample_test()
  • Chi-squared-test for the variance of 1 sample: confidence intervals
    • ctx.chi2_variance_1sample_ci()
  • Chi-squared-test for the variance of 1 sample: power
    • ctx.chi2_variance_1sample_power()
  • Chi-squared-test for the variance of 1 sample: sample size
    • ctx.chi2_variance_1sample_samplesize()
• Basic classical statistical tests for 2 independent samples (stratified)
  • Student t-test for 2 independent samples: tests (p-values)
    • ctx.studentt_2isamples_test()
  • Student t-test for 2 independent samples: confidence intervals
    • ctx.studentt_2isamples_ci()
  • Student t-test for 2 independent samples: power
    • ctx.studentt_2isamples_power()
  • Student t-test for 2 independent samples: sample size calculation
    • ctx.studentt_2isamples_samplesize()
  • Student t-test for 2 independent samples: power and sample size: failure to stratify
    • ctx.studentt_2isamples_power2()
  • Student t-test for 2 independent samples: equivalence and non-inferiority
    • ctx.studentt_2isamples_equivalence()
  • F-test for the variances of 2 independent samples: tests (p-values)
    • ctx.fratio_variance_2isamples_test()
  • F-test for the variances of 2 independent samples: confidence intervals
    • ctx.fratio_variance_2isamples_ci()
  • F-test for the variances of 2 independent samples: power
    • ctx.fratio_variance_2isamples_power()
  • F-test for the variances of 2 independent samples: sample size
    • ctx.fratio_variance_2isamples_samplesize()
• Basic classical statistical tests for 2 correlated samples (stratified)
  • Student t-test for 2 correlated samples: tests (p-values)
    • ctx.studentt_2csamples_test()
  • Student t-test for 2 correlated samples: confidence intervals
    • ctx.studentt_2csamples_ci()
  • Student t-test for 2 correlated samples: power
    • ctx.studentt_2csamples_power()
  • Student t-test for 2 correlated samples: sample size calculation
    • ctx.studentt_2csamples_samplesize()
  • Morgan-Pitman test for the variances of 2 correlated samples: tests (p-values)
    • ctx.fratio_variance_2csamples_test()
  • Morgan-Pitman test for the variances of 2 correlated samples: confidence intervals
    • ctx.fratio_variance_2csamples_ci()
  • Morgan-Pitman test for the variances of 2 correlated samples: power
    • ctx.fratio_variance_2csamples_power()
  • Morgan-Pitman test for the variances of 2 correlated samples: sample size
    • ctx.fratio_variance_2csamples_samplesize()
  • Pearson’s rho, 2 correlated samples: tests (p-values)
    • ctx.pearson_rho_test()
  • Pearson’s rho, 2 correlated samples: confidence intervals
    • ctx.pearson_rho_ci()
  • Pearson’s rho, 2 correlated samples:: power
    • ctx.pearson_rho_power()
  • Pearson’s rho, 2 correlated samples:: sample size calculation
    • ctx.pearson_rho_samplesize()