Optimizing Functions in STATISTICA

Products	Versions
Spotfire Statistica	12.7 and later

Description

This article offers instruction on optimizing functions in Statistica.

Issue/Introduction

Resolution

The Statistica General Optimization module enables users to optimize arbitrary functions of virtually any complexity, using Simplex, Genetic Algorithm, or Grid-Search methods. This module finds the best parameters that control specific processes to achieve optimal results according to user-specified criteria. The function to be optimized can be specified in a simple Statistica Visual Basic (SVB) function or a set of formulas. This module can repeatedly invoke other Statistica (or R-language) functions in an efficient manner.

The following table offers an outline of some commonly used statistical tests for a specific situation. Extensive information and concrete examples are provided in Statistica's help about each of these tests and procedures.

Before using any statistical test, the procedure should be researched to assure that it meets the needs of the study. Some tests make distributional and other assumptions about the data that may or may not hold. It is important to understand the analysis, hypotheses, statistical tests, and conclusions that can be drawn before performing the analysis.

Graphics Introduction

What I would like to do:	My type of data:	Statistical Method	How can I do this in Statistica?
Describe one group or set of data	Interval	Basic Statistics Descriptive Statistics median, mode....	Descriptive Statistics Overview Examples
Describe one group or set of data	Ordinal	Nonparametric statistics Ordinal descriptive statistics median, mode....	Nonparametric Statistics Overview Examples
Compare the mean of one group to a hypothesized population mean	Interval	Basic Statistics Difference Tests: R, %, Means t-test for Single Means	t-test for Single Means - Overview Examples
Compare 2 independent groups	Interval	Basic Statistics t-test for Independent Samples Independent t-test	Examples
Compare 2 independent groups	Ordinal	Nonparametric statistics Comparing two independent samples (groups) Wald-Wolfowitz Runs Test, Kolmogorov Smirnov Test, Mann-Whitney U Test	Example
Compare 2 dependent groups	Interval	Basic Statistics t-test for Dependent Samples Dependent t-test	Examples
Compare 2 dependent groups	Ordinal	Nonparametric statistics Comparing two dependent samples (variables) Sign test, Wilcoxon Matched Pairs test	Example - Sign Test Example - Wilcoxon Matched Pairs Test
Compare 3 or more independent groups	Interval	Basic Statistics Breakdown & one-way ANOVA One-way ANOVA	Example
Compare 3 or more independent groups	Ordinal	Nonparametric statistics Alternative to one-way between-groups analysis of variance (ANOVA) Kruskal-Wallis ANOVA	Example
Compare 3 or more dependent groups	Interval	General Linear (Models) Repeated measures ANOVA Design	Example
Compare 3 or more dependent groups	Ordinal	Nonparametric statistics Comparing multiple dep. samples (variables) Friedman ANOVA, Kendall Concordance	Example
Quantify relationship between 2 variables	Interval	Basic Statistics Correlation matrices Pearson product moment correlation	Example
Quantify relationship between 2 variables	Ordinal	Nonparametric statistics Correlations (Spearman, Kendall tau, gamma)	Example
Predict the value of a numeric variable from a set of predictors	Interval	Linear regression Multiple Regression General Regression Data Mining decision trees GC&RT, Interactive Trees and/or Boosted Trees Predictor Importance Data Mining, Neural Networks	Examples for linear regression - Multiple Regression, GRM Examples for decision trees - GC&RT, Interactive Trees, Boosted Trees Examples - SANN
Predict the nominal level of a categorical variable with 2 or more levels from a set of predictors	Nominal	Nonlinear Estimation or Generalized Linear/Nonlinear Logit regression Discriminant Analysis Data Mining decision trees GC&RT, Interactive Trees and/or Boosted Trees Predictor Importance Data Mining, Neural Networks	Examples - Probit and Logit Models Example - Discriminant analysis Examples for decision trees - GC&RT, Interactive Trees, Boosted Trees Examples - SANN

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