Description
Descriptive Statistics - Measures of central tendency: mean, median, trimmed mean, harmonic mean, geometric mean. - Measures of scale: variance, standard deviation, range, interquartile range, absolute deviation from mean and median.
- Higher moments: skewness, kurtosis. Probability Distributions - Probability density function (PDF).
- Cumulative distribution function (CDF). - Percentile or inverse cumulative distribution function.
- Moments: mean, variance, skewness and kurtosis. - Generate random samples from any distribution.
Continuous Probability Distributions - Beta distribution. - Cauchy distribution.
- Chi-squared distribution. - Erlang distribution.
- Exponential distribution. - F distribution.
- Gamma distribution. - Gumbel distribution.
- Laplace distribution. - Logistic distribution.
- Lognormal distribution. - Normal distribution.
- Pareto distribution. - Rayleigh distribution.
- Student t distribution. - Triangular distribution.
- Uniform distribution. - Weibull distribution.
Discrete Probability Distributions - Bernoulli distribution. - Binomial distribution.
- Geometric distribution. - Hypergeometric distribution.
- Negative binomial distribution. - Poisson distribution.
- Uniform distribution. Histograms - One-dimensional histograms.
- Probability distribution associated with a histogram. Statistical tests - Tests for the mean: one sample z-test, one sample t-test.
- Paired and unpaired two-sample t test for the difference between two sample means. - One sample chi-squared test for variance.
- F-test for the ratio of two variances. - One and two sample Kolmogorov-Smirnov test.
- Anderson-Darling test for normality. - Chi-squared goodness-of-fit test.
- Bartlett and Levene tests for homogeneity of variances. General Linear Model - Infrastructure for General Linear Model and Generalized Linear Model calculations.
- Analysis of variance. - Regression
- Higher moments: skewness, kurtosis. Probability Distributions - Probability density function (PDF).
- Cumulative distribution function (CDF). - Percentile or inverse cumulative distribution function.
- Moments: mean, variance, skewness and kurtosis. - Generate random samples from any distribution.
Continuous Probability Distributions - Beta distribution. - Cauchy distribution.
- Chi-squared distribution. - Erlang distribution.
- Exponential distribution. - F distribution.
- Gamma distribution. - Gumbel distribution.
- Laplace distribution. - Logistic distribution.
- Lognormal distribution. - Normal distribution.
- Pareto distribution. - Rayleigh distribution.
- Student t distribution. - Triangular distribution.
- Uniform distribution. - Weibull distribution.
Discrete Probability Distributions - Bernoulli distribution. - Binomial distribution.
- Geometric distribution. - Hypergeometric distribution.
- Negative binomial distribution. - Poisson distribution.
- Uniform distribution. Histograms - One-dimensional histograms.
- Probability distribution associated with a histogram. Statistical tests - Tests for the mean: one sample z-test, one sample t-test.
- Paired and unpaired two-sample t test for the difference between two sample means. - One sample chi-squared test for variance.
- F-test for the ratio of two variances. - One and two sample Kolmogorov-Smirnov test.
- Anderson-Darling test for normality. - Chi-squared goodness-of-fit test.
- Bartlett and Levene tests for homogeneity of variances. General Linear Model - Infrastructure for General Linear Model and Generalized Linear Model calculations.
- Analysis of variance. - Regression