Dataplot Vol 1 Vol 2

Dataplot Reference Manual
Volume 1: Commands

Chapter 3: Analysis Commands Introduction

Analysis commands carry out mathematical and statistical analyses such as fitting, transformations, statistical tests, and smoothing. Examples of such commands include FIT, LET, and SMOOTH. The commands in this category are:

Data and Function Transformations

 EXECUTE Execute an external program. LET Define variables and parameters, transform data, calculate statistics, roots, derivatives, integrals and more. LET FUNCTION Define and operate on functions. FUNCTION BLOCK Defines a function via a group of Dataplot commands. STATISTIC BLOCK Defines a statistic via a group of Dataplot commands.

Fitting and Smoothing

 BEST CP Perform a best subsets CP analysis. BOOTSTRAP FIT Perform a bootstrap linear or multilinear fit. CALIBRATION Compute a linear or quadratic calibration using multiple methods. EQUAL SLOPES TEST Test two or more linear regression lines to see if they have equal slopes. EXACT ... RATIONAL FIT Perform an exact rational function fit. FIT NON-LINEAR FIT LINEAR FIT REGRESSION DIAGNOSTICS Perform linear and non-linear least squares fits. LOWESS SMOOTH Performs locally-weighted least squares time series and scatter plot smoothing for both equispaced and non-equispaced data. ... PRE-FIT Perform a pre-fit analysis for starting values. ... SMOOTH Perform a least squares, moving average or robust (based on moving medians) smooth of equi-spaced data. ... SPLINE FIT Perform a spline fit. DEX PHD Compute the principle Hessian directions for a Yates analysis. MEDIAN POLISH Perform a robust analysis of variance. ORTHOGONAL DISTANCE FIT Estimate the parameters for an orthognal distance fit (also known as errors in variables fitting). RECIPE Compute REgression Confidence Intervals on PErcentiles (RECIPE). YATES ANALYSIS Perform a Yates analysis of 2-level factorial designs.

Experiment Design and Analysis of Variance

 ANOVA Perform a fixed effects analysis of variance (ANOVA) for balanced data. COCHRAN TEST Perform a Cochran test that c treatments have identical effects for a binary response. DURBIN TEST Perform a Durbin test that k treatments in a two-way balanced incomplete block design have identical effects. F LOCATION TEST Perform a 1-factor F location test for the homogeneity of locations across samples. FRIEDMAN TEST Perform a Friedman test that k treatments are identical in a randomized complete block design. KRUSKAL WALLIS TEST Perform a Kruskal Wallis test that k samples come from identifical populations. K SAMPLE PERMUTATION TEST Perform a k sample permutation test for a given statistic. K SAMPLE PERMUTATION TEST Perform a k sample permutation test for a given statistic. MEDIAN TEST Perform the k-sample test for equal medians. PAGE TEST Perform a Page test that k treatments have identical effects against the alternative of ordered treatment effects. QUADE TEST Perform a Quade test that k treatments are identical in a randomized complete block design. VAN DER WAERDEN Perform a Van Der Waerden (normal scores) test that k population distribution functions are equal.

Statistical Intervals, Tests and Summaries

 BARTLETT TEST Perform a Bartlett test for equal variances. BIWEIGHT CONFIDENCE LIMITS Generate biweight confidence limits for the mean. CHI-SQUARE TEST Carry out a 1-sample chi-square test for the standard deviation equal to a specified value. COEFFICIENT OF DISPERSION CONFIDENCE LIMITS Generates a confidence interval for the coefficient of dispersion. COEFFICIENT OF QUARTILE DISPERSION CONFIDENCE LIMITS Generates a confidence interval for the coefficient of quartile dispersion. COEFFICIENT OF VARIATION CONFIDENCE LIMITS Generates a confidence interval for the coefficient of variation. COEFFICIENT OF VARIATION TEST Perform either a one sample coefficient of variation test or a two sample coefficient of variation test. COMMON COEFFICIENT OF VARIATION CONFIDENCE LIMITS Generates a confidence interval for the common coefficient of variation for two or more groups for normally distributed data. COMPLETE SPATIAL RANDOMNESS Perform several tests for complete spatial randomness in the two-dimensional case. CONFIDENCE LIMITS Generate confidence limits for the mean. CORRELATION CONFIDENCE LIMITS Generates a confidence interval for the correlation between two response variables based on Fisher's normal approximation. CROSS TABULATE (or TABULATE) Tabulate counts or a specified statistic for one to eight group-id variables. COX STUART TEST Perform a Cox-Stuart test for trend for a univariate data set. DIFFERENCE OF MEANS CONFIDENCE LIMITS Generates confidence limits for the difference between two means. DIFFERENCE OF PROPORTIONS CONFIDENCE LIMITS Generates confidence limits for the difference between two proportions. FISHER TWO SAMPLE RANDOMIZATION TEST Perform a Fisher two sample randomization test for the equality of the means of two independent samples. FLIGNER POLICELLO TEST Perform a two sample Fligner-Policello test for equal medians. F TEST Perform a 2-sample F test for the equality of the standard deviations. HEDGES G CONFIDENCE LIMITS Generates a confidence interval for the Hedge's g statistic. KENDALL TAU INDEPENDENCE TEST Perform a Kendall tau test for whether two samples are independent (i.e., not correlated). KLOTZ TEST Perform a Klotz test that k samples have equal variances. LEVENE TEST Perform a Levene test that k samples have equal variances. LIMITS OF DETECTION Perform a limits of detection (LOD) analysis based on the ASTM E-2677 standard. MEDIAN CONFIDENCE LIMITS Generates confidence intervals for the median of a variable. POSITIONAL TABULATION Generate a position tabulation for one of Dataplot's supported univariate statistics for either a list of variables or a list of matrices. PREDICTION BOUNDS Generates prediction bounds for all m new observations given a previous sample. PREDICTION LIMITS Generates a prediction interval for the mean of one or more new observations given a previous sample. PROPORTION CONFIDENCE LIMITS Generates a confidence interval for proportions. RANK CORRELATION INDEPENDENCE TEST Perform a Spearman rho rank correlation test for whether two samples are independent (i.e., not correlated). RANK SUM TEST Perform a two sample rank sum test. RATIO OF MEANS CONFIDENCE INTERVAL Generates a confidence interval for the ratio of two means for paired samples. RATIO OF STANDARD DEVIATIONS CONFIDENCE INTERVAL Generates a confidence interval for the ratio of two standard deviations. RATIO OF VARIANCES CONFIDENCE INTERVAL Generates a confidence interval for the ratio of two variances. RUNS Perform a runs test for randomness. SIEGEL TUKEY TEST Perform a two sample Siegel-Tukey test that the standard deviations of two samples are equal. SIGN TEST Perform a one sample or a paired two sample sign test. SIGNED RANK TEST Perform a one sample or a paired two sample signed rank test. SQUARED RANK TEST Perform a squared ranks test that k samples have equal variances. SD CONFIDENCE LIMITS Generates a confidence interval for the standard deviation. SD PREDICTION LIMITS Generates a prediction interval for the standard deviation. SUMMARY Compute summary statistics. TOLERANCE LIMITS Generates normal, lognormal and non-parameteric tolerance intervals. TRIMMED MEAN CONFIDENCE LIMITS Generates a confidence interval for a trimmed mean. T TEST Perform a 1- or 2-sample t test for the mean. TWO SAMPLE LINEAR RANK SUM TEST Perform a two sample linear rank sum test for various scores. TWO SAMPLE PERMUTATION TEST Perform a two sample permutation test for a specified statistic.

Quality Control

 CAPABILITY ANALYSIS Generate a table of capability analysis statistics. SINGLE SAMPLE ACCEPTANCE PLAN Generates a single sample acceptance plan.

Multivariate

 CLUSTER Perform a cluster analysis.

Time Series Analysis

 ARMA Fit an autoregressive/moving average (ARMA) model (Box_Jenkins models). SEASONAL LOWESS Decompose a time series into trend, seasonal and residual components using techniques based on locally weighted least squares.

Distributional Analysis

 ANDERSON DARLING K SAMPLE TEST Perform a k-sample Anderson Darling test for equal distributions. BASIS TOLERANCE LIMITS Generates A-basis and B-basis tolerance intervals for the Weibull, normal and lognormal distributions. BEST DISTRIBUTIONAL FIT Perform a best distributional fit analysis. CHI-SQUARE TWO SAMPLE TEST Perform a two-sample chi-square test for common distribution. COMMON WEIBULL SHAPE PARAMETER Test whether k samples that follow a 2-parameter Weibull distribution have a common shape parameter. DISTRIBUTIONAL LIKELIHOOD RATIO TEST Distinguish which of two specified distributions better fit a data set based on the likelihood ratio test. ... GOODNESS OF FIT Perform Anderson-Darling, Kolmogorov-Smirnov, chi-square, or PPCC distributional goodness of fit tests. JARQUE BERA TEST Perform a Jarque-Bera test for normality. KOLMOGOROV SMIRNOV TWO SAMPLE TEST Perform a two-sample Kolmogorov-Smirnov test for common distribution. MAXIMUM LIKELIHOOD Estimate the parameters of a distribution via maximum likelihood. MCCOOL WEIBULL LOCATION TEST Perform the McCool test to distinguish between a 2-parameter and a 3-parameter Weibull distribution. POISSON DISPERSION TEST Perform a Poisson dispersion test for Poissonality. WILKS SHAPIRO NORMALITY TEST Perform a Wilks-Shapiro test for normality.

Reliability/Extreme Value Analysis

 CME Estimate the parameters of a generalized Pareto distribution using the conditional mean exceedance (CME) method. DEHAAN Estimate the parameters of a generalized Pareto distribution using the de Haan method. RELIABILITY TREND TEST Compute tests to determine whether or not the repair times of a system show significant trend (either improvement or degradation). Specifically, it computes the reverse arrangement test, the military handbook test and the Laplace test.

Randomness

 CUSUM TEST Perform a cumulative sum test for randomness. FREQUENCY TEST Perform a frequency test for randomness. LJUNG-BOX TEST Perform a Ljung-Box test for randomness. MEAN SUCCESSIVE DIFFERENCES TEST Perform a mean successive differences test for randomness for a univariate data set (also known as the Durbin-Watson test).

Outliers

 DAVID TEST Perform the David, Hartley and Pearson test for univariate outliers from a normal distribution. DIXON TEST Perform the Dixon test for univariate outliers from a normal distribution. EXTREME STUDENTIZED DEVIATE TEST Perform a generalized extreme studentized deviate (ESD) test for outliers in a normal distribution. GRUBBS TEST Perform the Grubbs test for a univariate outlier from a normal distribution. KURTOSIS OUTLIER TEST Perform the kurtosis test for a univariate outlier from a normal distribution. SKEWNESS OUTLIER TEST Perform the skewness test for a univariate outlier from a normal distribution. TIETJEN MOORE TEST Perform a Tietjen-Moore test for outliers.

Interlaboratory Analysis

 COCHRAN VARIANCE OUTLIER TEST Perform Cochran's variance outlier test to assess the homogeneity of variances in the one-factor case. CONSENSUS MEANS Generate the tables for either a one-sample or a two-sample proficiency test as defined by the ASTM E 2489 - 06 standard. E691 INTERLAB Generate the tables for an interlab analysis as described by the ASTM E 691 - 99 standard. PROFICIENCY TEST Generate the tables for either a one-sample or a two-sample proficiency test as defined by the ASTM E 2489 - 06 standard.

Classification/Categorical Analysis

 BINOMIAL PROPORTION TEST Perform a large sample hypothesis test for the equality of two binomial proportions. CHI-SQUARE TEST OF INDEPENDENCE Perform a chi-square test of independence for a two-way contingency table. FISHER EXACT TEST Perform a Fisher exact test of independence for a two-way contingency table. MANTEL-HAENSZEL TEST Perform a Mantel-Haenszel test of a series of fourfold (2x2) tables. MCNEMAR TEST Perform a McNemar test for independence in a 2x2 table. ODDS RATIO CHI-SQUARE TEST Perform an odds ratio chi-square test of a series of fourfold (2x2) tables. ODDS RATIO INDEPENDENCE TEST Perform a log odds ratio test of independence for a 2x2 contingency table.

The ... in some of the commands indicates user-defined options for the command, as in:

LINEAR SPLINE FIT, CUBIC SPLINE FIT, etc.
LINEAR SMOOTH, CUBIC SMOOTH, ROBUST SMOOTH, etc.
EXACT 1/1 RATIONAL FIT, EXACT 2/3 RATIONAL FIT, etc.
Many mathematical, statistical, and matrix capabilities are available as subcommands under the LET command. The individual subcommands available under LET are documented in Volume II of the DATAPLOT Reference Manual.
Date created: 12/08/2023
Last updated: 12/08/2023