Statsar Statistics Library

v1.0.1 for .NET

Simplexar > Statsar > UserGuide > Contents

• 1. Getting Started
  • 1.1 Product overview
  • 1.2 Product features
    • 1.2.1 Library design
    • 1.2.2 Data analysis
    • 1.2.3 Descriptive statistics
    • 1.2.4 Random number generators
    • 1.2.5 Probability distributions
    • 1.2.6 Discrete distributions
    • 1.2.7 Continuous distributions
    • 1.2.8 Linear regression
    • 1.2.9 Hypothesis tests
    • 1.2.10 Analysis of variance
  • 1.3 Requirements
    • 1.3.1 Platform requirements
    • 1.3.2 Operating system requirements
  • 1.4 Namespaces (overview)
  • 1.5 Licensing
    • 1.5.1 License types
    • 1.5.2 How to use a license key
  • 1.6 QuickStart application
    • 1.6.1 Step by step guide for C#
    • 1.6.2 Step by step guide for VB.NET

• 2. Importing and Exporting Data
  • 2.1 Loading Excel CSV files
  • 2.2 Working with columns
  • 2.3 Working with rows
  • 2.4 Importing arrays
  • 2.5 CSV and tab delimited files
  • 2.6 Database connectivity
  • 2.7 Reflection

• 3. Processing Data
  • 3.1 Overview
  • 3.2 Filtering rows
    • 3.2.1 The DataSheet filter method
    • 3.2.2 The SheetFilter class
    • 3.2.3 Transforming data
    • 3.2.4 Grouping data
  • 3.3 Filtering columns
    • 3.3.1 The column filter method
    • 3.3.2 The column FilterIndices method
  • 3.4 Splitting data
  • 3.5 Sorting data
    • 3.5.1 Sorting rows
    • 3.5.2 Sorting column values

• 4. Descriptive Statistics
  • 4.1 Working with calculator functions
  • 4.2 Summary statistics
    • 4.2.1 The count function
    • 4.2.2 The sum function
    • 4.2.3 The mean function
    • 4.2.4 The trim mean function
    • 4.2.5 The geometric mean function
    • 4.2.6 The harmonic mean function
    • 4.2.7 The mode function
    • 4.2.8 The max function
    • 4.2.9 The max abs function
    • 4.2.10 The min function
    • 4.2.11 The min abs function
    • 4.2.12 The midrange function
    • 4.2.13 The range function
    • 4.2.14 The median function
  • 4.3 Spread and deviation
    • 4.3.1 The coefficient of variation function
    • 4.3.2 The mean deviation function
    • 4.3.3 The median deviation function
    • 4.3.4 The root mean square function
    • 4.3.5 The variance function
    • 4.3.6 The standard deviation function
    • 4.3.7 The standard error function
    • 4.3.8 The sum square deviation function
  • 4.4 Percentiles and ranks
    • 4.4.1 The interquartile range function
    • 4.4.2 The decile function
    • 4.4.3 The percentile function
    • 4.4.4 The percent rank function
    • 4.4.5 The quartile function
    • 4.4.6 The weighted percentile function
    • 4.4.7 The rank function
    • 4.4.8 The ranks function
  • 4.5 Central moments
    • 4.5.1 The central moment function
    • 4.5.2 The standard moment function
    • 4.5.3 The kurtosis function
    • 4.5.4 The skew function

• 5. Random Number Generators
  • 5.1 Pseudorandom algorithms
  • 5.2 Linear congruential generators
  • 5.3 Additive congruential generators
  • 5.4 Inverse congruential generators
  • 5.5 Mersenne twister generators
  • 5.6 Lagged fibonacci generators
  • 5.7 Shuffle generators

• 6. Special Functions
  • 6.1 Factorial functions
  • 6.2 Binomial functions
  • 6.3 Gamma functions
  • 6.4 Beta functions
  • 6.5 Error function

• 7. Probability Distributions
  • 7.1 Working with distributions
    • 7.1.1 Calculating distribution functions
    • 7.1.2 Distribution central moments
    • 7.1.3 Random deviates
  • 7.2 Discrete distributions
    • 7.2.1 The Bernoulli distribution
    • 7.2.2 The binomial distribution
    • 7.2.3 The discrete uniform distribution
    • 7.2.4 The geometric distribution
    • 7.2.5 The hypergeometric distribution
    • 7.2.6 The negative binomial distribution
    • 7.2.7 The Poisson distribution
  • 7.3 Continuous distributions
    • 7.3.1 The beta distribution
    • 7.3.2 The Cauchy distribution
    • 7.3.3 The chi-squared distribution
    • 7.3.4 The continuous uniform distribution
    • 7.3.5 The Erlang distribution
    • 7.3.6 The exponential distribution
    • 7.3.7 The F distribution
    • 7.3.8 The gamma distribution
    • 7.3.9 The Gumbel distribution
    • 7.3.10 The Laplace distribution
    • 7.3.11 The logistic distribution
    • 7.3.12 The log normal distribution
    • 7.3.13 The normal distribution
    • 7.3.14 The Pareto distribution
    • 7.3.15 The Rayleigh distribution
    • 7.3.16 The student's T distribution
    • 7.3.17 The triangular distribution
    • 7.3.18 The Weibull distribution

• 8. Vectors, Matrices and Linear Regression
  • 8.1 The LinearAlgebra namespace
  • 8.2 Vector data
    • 8.2.1 Initiating a new vector
    • 8.2.2 Vector elements
    • 8.2.3 Copying vectors
    • 8.2.4 Modifying vectors
  • 8.3 Vector operations
    • 8.3.1 Vector arithmetic
    • 8.3.2 Vector products
    • 8.3.3 Unit vectors
  • 8.4 Matrix data
    • 8.4.1 Initiating a new matrix
    • 8.4.2 Matrix elements
    • 8.4.3 Copying matrices
    • 8.4.4 Modifying matrices
  • 8.5 Matrix operations
    • 8.5.1 Matrix arithmetic
    • 8.5.2 Matrix norms and linear systems
  • 8.6 Linear regression
    • 8.6.1 Simple linear regression
    • 8.6.2 Multiple linear regression
    • 8.6.3 Polynomial regression

• 9. Hypothesis Tests
  • 9.1 Hypothesis tests classes
  • 9.2 The one sample Z-test
  • 9.3 The one sample T-test
  • 9.4 The two sample paired T-test
  • 9.5 The two sample unpaired T-test
  • 9.6 The two sample F-test
  • 9.7 The one sample chi-square test
  • 9.8 The one sample Kolmogorov-Smirnov test
  • 9.9 The two sample Kolmogorov-Smirnov test
  • 9.10 The Anderson-Darling test
  • 9.11 Bartlett's Test
  • 9.12 Levene's Test

• 10. Analysis of Variance
  • 10.1 Analysis of variance classes
  • 10.2 One way ANOVA
  • 10.3 One way repeated ANOVA
  • 10.4 Two way ANOVA
  • 10.5 Two way repeated ANOVA
  • 10.6 Both factor two way repeated ANOVA

• Appendix A - Exceptions and Error Codes
  • 1. Use of HRESULTs explained
  • 2. Exception classes
  • 3. ErrorCodes table

• Appendix B – Expression Syntax
  • 1. Overview
    • 1.1 Expression constituents
    • 1.2 Literals
    • 1.3 Operators
    • 1.4 Text matching
    • 1.5 Constants
  • 2. Functions
    • 2.1 Trigonometric functions
    • 2.2 Hyperbolic functions
    • 2.3 Exponential and logarithm functions
    • 2.4 Numeric functions
    • 2.5 String functions
    • 2.6 Date and time functions