WebCab Probability and Stat (J2EE Ed.) 3.6
WebCab Probability and Stat (J2EE Ed.) - EJB Suite offers functionality from Basic Statistics, Discrete Probability, Standard Probability
Distributions, Hypothesis Testing, Correlation and Linear Regression.
Statistics
Module
The Statistics module incorporates evaluation procedures of standard quantitative
measures of centrality (mean) and dispersion of (discrete) numerical sets. This module incorporates
weighted averages, geometric mean, Inter-Quartile range, mean and standard deviation, sample
variance and the coefficient of variation.
Discrete Probability Module
The
Discrete Probability module encapsulates the foundations of discrete probability and discrete
probability distributions. This component includes the addition law, conditional probability,
cumulative distribution function, mean and variance of a distribution, expected values, covariance
and simplification of expressions involving random variables.
Correlation and
Regression Module
Allows the user to investigate relationships between two variables. These
finding can be used to predict one variable from the given values of other variables. We cover
linear (Spearman's, t-test, z-transform) and rank (Spearman's, Kendall's) correlation, linear
regression and conditional means.
Standard Probability Distributions Module
This
module assists in the development of applications that incorporate the Binomial, Poisson, Normal,
Lognormal, Pareto, Uniform, Hypergeometric and Exponential probability distributions. The
probability density function, cumulative distribution function and inverse, mean, variance,
Skewness and Kurtosis are implemented where appropriate and/or their approximations for each
distribution. We also offer methods which randomly generate numbers from a given distribution.
Curve Fitting Module
The Curve Fitting module offers procedures by which linear and
non-linear functions can be fitted in accordance with the least squares approach to a given data
set which may or may not exhibit measurement errors. We also include functionality which performs
ANNOVA type analysis including goodness-of-fit measures such as the R-Squared measure and T-Test
statistic.
Confidence Intervals and Hypothesis Testing Module
Within this
component we present two aspects of inferential statistics known as confidence intervals and
hypothesis testing.
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