# NMath Stats User's Guide

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Index

Symbols

.NET Framework ,

A

converting to data frames

creating from data frames

alpha levels

ALS

Alternating Least Squares (ALS)

analysis of variance (ANOVA)

ANOVA

ANOVA regression parameters

AnovaRegressionFactorParam

AnovaRegressionInteractionParam

AnovaRegressionParameter

Any CPU build configuration

API documentation

applying functions

arithmetic mean

Assemblies

autocorrelation

B

beta distribution

BiasType , ,

binary serialization

binomial distribution

BinomialDistribution ,

boolean columns

Box-Cox power transformations

C

categorical vectors

CDF

cell data ,

cell means

CenterSpace.NMath.Stats namespace

central moments

central tendency

charting

chi-square distribution

ChiSquareDistribution ,

city-block (Manhattan) distance

cluster analysis

ClusterAnalysis , ,

clustering

ClusterSet ,

code examples

coefficient of determination

column names , ,

columns

accessing

creating

exporting to a string

exporting to a vector

exporting to an array

properties

removing data

reordering

Common Language Specification

compiled Help

complete orthogonal decomposition

confidence interval

consensus matrix

contacting technical support

contingency table

convergence check period

cophenetic distance

CORegressionCalculation

correlated random inputs

correlation

counts

covariance

covariance matrix

Cox and Snell pseudo R-squared statistic

Cp ,

Cpk ,

Cpm ,

critical values , ,

Cronbach's alpha

cross validation

cross-tabulation

cumulative distribution function

D

data frames

column properties

column types

creating

exporting to a matrix

exporting to a string

permuting rows and columns

properties

removing columns

removing rows

sorting

DataFrame –??

datetime columns

deciles

decimal types

descriptive statistics

design variables

DFBoolColumn

DFColumn

DFDateTimeColumn

DFGenericColumn

DFIntColumn

DFNumericColumn

DFStringColumn

Distance

distance functions

Distance.Function

distribution classes

documentation

Reference Guide

User's Guide

dummy variable regression parameters in ANOVA

dummy variables

Durbin-Watson statistic

E

effects encoding

Euclidean distance

exponential distribution

ExponentialDistribution ,

F

F distribution

F test

Factor , , ,

Factor analysis

factor extraction

factor rotation

factor score

factor score coefficients

factor scores

factors

accessing

creating

grouping by

properties

FDistribution ,

Fisher transformation

Fisher's Exact Test

Frobenius matrix norm

G

G statistic

gamma distribution

gaussian distribution

GDCLS ,

generic columns

generic functions

geometric distribution

geometric mean

GeometricDistribution ,

goodness of fit ,

GoodnessOfFit

GoodnessOfFitParameter ,

Gradient Descent - Constrained Least Squares (GDCLS)

grand mean , ,

graphing

group means ,

grouping by factors ,

groupings ,

H

harmonic mean

hold out method

Hosmer Lemeshow statistic

hypothesis tests

creating

properties ,

HypothesisType

I

IDFColumn

ILogisticRegressionCalc

InputVariableCorrelator

integer columns

intercept parameter

intercept parameters

internally studentized residuals

interquartile range ,

inverse CDF

inverse cumulative distribution function

inverse Fisher transformation

IRandomVariableMoments

IRegressionCalculation

ISerializable interface

Iterative Power Method

J

jackknife estimates

jackknifing

Johnson system of distributions

JohnsonDistribution

K

k-fold cross validation

KMeansClustering

Kolmogorov-Smirnov test ,

Kruskal-Wallis rank sum test ,

KruskalWallisTest

kurtosis ,

L

least squares minimization

likelihood function

linear regressions

creating

modifying

predictions ,

results

significance of parameters

significance of the overall model

LinearRegression

LinearRegressionAnova

LinearRegressionParameter ,

logical functions ,

logistic regression

LogisticDistribution ,

LogisticRegression

LogisticRegressionFitAnalysis

log-normal distribution

LognormalDistribution ,

M

matrices

converting to data frames

creating from data frames

maximum (Chebychev) distance

mean ,

mean deviation

mean of the ranges method

median

median deviation from mean

Microsoft Chart Controls for .NET

min/max functions

missing values ,

mode

multiple linear regression

multiplicative update rule

multivariate techniques

N

Nagelkerke pseudo R-squared statistic

namespaces

NaN values

negative binomial distribution

NegativeBinomialDistribution ,

NewtonRaphsonParameterCalc

NIPALS

NMath Core ,

NMathStatsChart

NMF

NMFClustering , ,

Nonlinear Iterative PArtial Least Squares (NIPALS)

nonnegative matrix factorization (NMF) ,

Non-parametric tests

normal distribution

NormalDistribution ,

Not-A-Number values

numeric columns

O

odds ratio

OneSampleKSTest

OneSampleTTest

OneSampleZTest

one-way ANOVA

accessing the ANOVA table ,

one-way RANOVA

accessing the RANOVA table

OneWayAnova

OneWayAnovaTable ,

OneWayRanova

OneWayRanovaTable

P

Partial Least Squares

Partial least squares Discriminant Analysis

parts per million defective ,

PDF

Pearson chi-square statistic

Pearson correlation

Pearson's chi-square test

PearsonsChiSquareTest

percent defective ,

percentiles

permuting columns

permuting data frames

plotting

PLS-DA

poisson distribution

PoissonDistribution ,

power distance

Pp ,

Ppk ,

predictions ,

predictor matrix

principal component analysis

probability density function

probability distributions

ProbabilityDistribution

process capability ,

process capability index

process performance

ProcessCapability

ProcessPerformance

product

documentation

features

overview

software requirements

pseudo R-squared

Q

QR decomposition

QRRegressionCalculation

quartiles

R

R2

random samples

ranks

ReducedVarianceInputCorrelator

regression calculators

regression matrix

regularization

reordering columns

reordering data frames

residual standard error

RMS

root mean square

row keys , ,

modifying

S

sampling

serialization

SIMPLS

singular value decomposition

skewness ,

SOAP serialization

software requirements

SortingType , ,

sparsity

Spearman's rank correlation coefficient

Spearman's rho ,

squared Euclidean distance

SSE

standard deviation

standardized residuals

statistical functions

data types

missing values

statistical process control

StatsFunctions –??

StatsSettings

Straightforward IMplementation of PLS (SIMPLS)

string columns

Student's t distribution

studentized residuals

subject means

Subset

subsets

accessing elements

arithmetic operations

creating

logical operations

properties

sum of squared errors

sums

SVDRegressionCalculation

T

t test , ,

tabulation

Taguchi capability index

TDistribution ,

technical support

time series

treatment means

triangular distribution

TriangularDistribution ,

trimmed mean

trimming data

TrustRegionParameterCalc

TwoSampleFTest

TwoSampleKSTest ,

TwoSamplePairedTTest

TwoSampleUnpairedTTest

TwoSampleUnpairedUnequalTTest

two-way ANOVA

accessing the ANOVA table

two-way RANOVA

TwoWayAnova

TwoWayAnovaTable

TwoWayAnovaTypeI

TwoWayAnovaTypeII

TwoWayAnovaTypeIII

TwoWayAnovaUnbalanced

TwoWayRanova

TwoWayRanovaTable

TwoWayRanovaTwo

TwoWayRanovaTwoTable

typographic conventions

U

Unbalanced two-way ANOVA

unbalanced two-way ANOVA

uniform distribution

UniformDistribution ,

V

variance ,

variance inflation factor

varimax rotation

visualization

Von Neumann ratio

W

Weibull distribution

WeibullDistribution ,

weighted mean

Z

Z Bench

Z bench ,

z test

ZBench

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