16 StatisticsStatistics
Basic Statistics
Origin provides several tools and methods to compute basic statistics on data from either the worksheet or from a graph.
Descriptive StatisticsStatistics, Descriptive
Statistics, Basic
 Origin 2016 introduced addon tools called Apps. Since being introduced, many new exploratory and analysisrelated tools have been added to OriginLab's File Exchange and more tools are being released all the time.To see what is available, point to the Add Apps button in the Apps Gallery" to the rightside of your workspace and doubleclick. In the App Center dialog that opens, you will find New and Popular Apps. In this dialog, you can download new Apps or update existing Apps. 
Basic Statistics on Worksheet
Descriptive Statistics

Menu entry with worksheet active

 Statistics on Columns
 Statistics on Rows

Statistics:Descriptive Statistics

 Cross Tabulation (Pro Only)

Statistics:Descriptive Statistics

Frequencies/Counts


 Frequency Counts
 2D Frequency Counts/Binning
 Discrete Frequency

Statistics:Descriptive Statistics

Distribution


 Normality Test
 Distribution Fit (Pro Only)

Statistics:Descriptive Statistics

Relationship


 Correlation Coefficient (Pro Only)
 Partial Correlation Coefficient (Pro Only)

Statistics:Descriptive Statistics

Detecting Outliers


 Grubbs Test
 Dixon's Qtest

Statistics:Descriptive Statistics

Descriptive Statistics on Graph
Origin provides a couple of gadgets to explore and summarize data plotted in graphs.
Descriptive Statistics

Menu entry with graph active

 Cluster Gadget (Pro Only)

Gadgets:Cluster...


Gadgets:Statistics...

Statistics on Selected Range
Origin provides some quick ways to obtain basic statistics on a selected range of worksheet cells, or data plot(s) in a graph.
Status Bar
Statistics, Data Selection
Select a range of cells in a worksheet. Note that the selection can include cells from one or more columns, and you can use the CTRL key to select noncontiguous groups of cells. Statistics, Report to Status Bar
Basic statistics (average, sum, count, min, max) for your selected data will be displayed in the status bar. Right click on the status bar to customize what quantities to display.
Command or Script Window
Statistics, Report to Script/Command Window
 Select a range of cells in a worksheet, or click and select a group of data plots or an individual data plot in a graph.
 Open the Command Window or the Script Window from the Windows menu, and type one of these commands, then press ENTER:
stats
moments
quantiles
With the Command Window, the results are typed out below the command line. With the Script Window, you will need to issue an additional command to return your results:
stats;
stats.=;
Note: For more information, please refer to the:
Help: XFunction > XFunction Reference > Statistics

Statistical Graphs
Statistics, Charts
Origin provides numerous statistical graph types. All graphs can be easily customized and saved as a template for repeat use. View the Graphing and Customizing Graphs chapters of this guide for more information.
Graph Type

Menu Entry

Box Charts: Box, Interval Plot, Marginal Box Charts, Bar Charts, Box Overlap, Box Normal, Bar Overlap, Bar Normal, Scatter Interval, DoubleY Box.
 DoubleY Box now available. 

Plot > 2D: Box...

Box Charts, Grouped: Grouped Box Charts  Indexed Data, Grouped Box Charts  Raw Data.

Plot > 2D: Group Plot...

Histograms: Histogram, Histogram + Probabilities, Stacked Histograms, Marginal Histograms, Histogram + Distribution, Histogram + Label.

Plot > 2D: Histogram...

2D Kernel Density

Plot > 2D: 2D Kernel Density

Probability: Probability Plot, QQ Plot.

Plot > 2D: Probability...

Pareto: Pareto Chart  Binned Data, Pareto Chart  Raw Data.

Plot > 2D: Pareto...

Scatter Matrix

Plot > 2D: Scatter Matrix

QC (Xbar R) Chart

Plot > 2D: QC (Xbar R Chart)

Trellis Plot

Plot > 2D: Trellis

The following statistical graphs are only available within the Plots branch of the statistical analysis dialogs.
Graph Type

Menu Entry

 Means Plot
 Means Comparison Plot

Statistics: ANOVA: OneWay ANOVA, TwoWay ANOVA
Statistics: ANOVA: OneWay Repeated Measure ANOVA (Pro Only)

 Survival Curve
 One Minus Survival Curve
 Hazard Curve
 Log Survival Curve

Statistics: Survival Analysis: KaplanMeier Estimator (Pro Only)

 Scree Plot
 Component Plot

Statistics: Multivariate Analysis: Principal Component Analysis (Pro Only)


Statistics: Multivariate Analysis: Hierarchical Cluster Analysis (Pro Only)

 Classification Summary Plot
 Classification Fit Plot
 Canonical Score Plot

Statistics: Multivariate Analysis: Discriminant Analysis (Pro Only)


Statistics: ROC Curve (Pro Only)

Comparing One, Two or More Groups
Origin provides parametric and nonparametric tests to compare one, two, three or more groups.
Parametric Hypothesis Tests
Statistics, tTeststTests
Feature

Menu Entry

 OneSample tTest
 TwoSample tTest
 PairSample tTest
 OneSample Test for Variance (Pro Only)
 TwoSample Test for Variance (Pro Only)

Statistics: Hypothesis Testing

 OneSample Proportion Test (Pro Only)
 TwoSample Proportion Test (Pro Only)

Statistics: Hypothesis Testing

 TwoSample tTest on Rows (Pro Only)
 PairSample tTest on Rows (Pro Only)

Statistics: Hypothesis Testing

ANOVA
Statistics, ANOVAANOVA
Feature

Menu Entry

 OneWay ANOVA
 TwoWay ANOVA
 ThreeWay ANOVA
 OneWay RepeatedMeasures ANOVA (Pro Only)
 TwoWay RepeatedMeasures ANOVA (Pro Only)
 (Supports both Balanced and Unbalanced data)

Statistics: ANOVA

Nonparametric Tests
Statistics, NonparametricNonparametric Statistics
These nonparametric tests are available only in OriginPro
Feature

Menu Entry

 OneSample Wilcoxon Signed Rank Test
 PairedSample Wilcoxon Signed Rank Test
 PairedSample Sign Test
 MannWhitney Test
 TwoSample KolmogorovSmirnov Test
 KruskalWallis ANOVA
 Moods Median Test
 Friedman ANOVA

Statistics:Nonparametric Tests

Notes:
Multiple nonparametric tests can be run simultaneously. (Accessible from the Statistics:Nonparametric Tests menu ) Available options are:
 (NPH) K Independent Samples: KruskalWallis ANOVA and Mood's Median Test
 (NPH) Paired Samples: PairedSample Wilcoxon Signed Rank Test and PairedSample Sign Test
 (NPH) Two Independent Samples: MannWhitney Test and TwoSample KolmogorovSmirnov Test

Advanced Statistics
Several additional tools are available in OriginPro.
Multivariate Analysis
Statistics, MultivariateMultivariate Statistics
Origin offers several multivariate analysis methods to help you simplify, classify, or make predictions from your data.
Feature

Menu Entry

 Principal Component Analysis
 KMeans Cluster
 Hierarchical Cluster
 Discriminant Analysis
 Canonical Discriminant Analysis
 Partial Least Squares

Statistics:Multivariate Analysis

Notes: Canonical Discriminant Analysis is integrated with Discriminant Analysis. It is accessible from the Statistics:Multivariate Analysis:Discriminant Analysis: Canonical Discriminant Analysis(System) menu.

Survival Analysis
Statistics, Survival AnalysisSurvival Analysis
OriginPro includes widely used survival tests to quantify survivorship in a population.
Feature

Menu Entry

 KaplanMeier Productlimit Estimator
 Comparing Survival Curves
 Cox Proportional Hazards Model
 Weibull Fit Model

Statistics:Survival Analysis

Notes: Comparing Survival Curves is accessible in the KaplanMeier Productlimit Estimator feature.

Power and Sample Size
Statistics, Power and Sample Size
Origin provides eight types of power and sample size analysis, useful in designing experiments. Origin can compute the power of the experiment for a given sample size and can also compute the required sample size for given power values.
Feature

Menu Entry

 OneProportion Test
 TwoProportion Test
 OneSample tTest
 TwoSample tTest
 PairedSample tTest
 OneVariance Test
 TwoVariance Test
 OneWay ANOVA

Statistics: Power and Sample Size

ROC Curve
Statistics, ROC CurveROC Curve
ROC Curve analysis is useful in determining if an incident has occurred, or in comparing the accuracy of two methods that are used to discriminate between diseased and healthy cases.
Feature

Menu Entry


Statistics: ROC Curve

Topics for Further Reading
