16 Statistics

Apps for Statistics

Origin 2016 introduced add-on tools called Apps. Since being introduced, a number of statistics-related graphing and analysis Apps have been added to OriginLab's File Exchange and more tools are being released all the time.

A few Apps are installed with your Origin software. Note that as of the spring of 2019, all Apps are available at no extra cost and they are easily downloaded and added to Origin. Point to the Add Apps button in the "Apps Gallery" to the right-side of your workspace and double-click. In the App Center dialog, you will find New and Popular Apps. Using this dialog, you can download new Apps or update existing Apps.

Origin now includes a pre-installed App called Statistics Advisor. This App uses an interactive "wizard" interface to help you choose appropriate statistical tests and to tell you where to find them in your Origin software, or -- if the test is available from another add-on App -- where to find it on the OriginLab File Exchange.

Statistics stats advisor app.png

Basic Statistics

Origin provides several tools and methods to compute basic statistics on data from either the worksheet or from a graph.

Basic Statistics on Worksheet

Descriptive Statistics Menu entry with worksheet active
  • Statistics on Columns
  • Statistics on Rows
Statistics:Descriptive Statistics
  • Cross Tabulation and Chi-Square OriginPro Symbol.png
Statistics:Descriptive Statistics
Frequencies/Counts
  • Frequency Counts
  • 2D Frequency Counts/Binning
  • Discrete Frequency
Statistics:Descriptive Statistics
Distribution
  • Normality Test
  • Distribution Fit OriginPro Symbol.png
Statistics:Descriptive Statistics
Relationship
  • Correlation Coefficient OriginPro Symbol.png
  • Partial Correlation Coefficient OriginPro Symbol.png
Statistics:Descriptive Statistics
Detecting Outliers
  • Grubbs Test
  • Dixon's Q-test
Statistics:Descriptive Statistics


Origin 2019 added Conditional Formatting of worksheet cells, with which you could apply color to worksheet cells based, among other things, on worksheet statistics. For more information, see Conditional Formatting.

User guide stats conditional format.png

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 OriginPro Symbol.png
Gadgets:Cluster...
  • Statistics Gadget
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

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 non-contiguous groups of cells.

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.

Gsb statistics statistics on status bar.png

Command or Script Window

Statistics, Report to Script/Command Window

  1. 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.
  2. 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: X-Function > X-Function Reference > Statistics


Statistical Graphs

Origin 2019b adds a number of new graph templates, including Split Heatmaps, several grouped box chart variants (Half Box, Half Violin, Mean Bar, etc.), plus several templates with "Rug Marks" turned on (Scatter + Rug, Histogram + Rug, Distribution + Rug). The new templates are included in the tables below.

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 Plot Menu Category

Box Charts: Box, Interval Plot, Bar Charts, Box Overlap, Box Normal, Half Box, Bar Overlap, Bar Normal, Scatter Interval, Double-Y Box, Marginal Box Charts.

Statistical

Box Charts, Violin Plots, etc., Grouped: Grouped Scatter - Indexed Data, Grouped Box Charts - Indexed Data, Grouped Box Charts - Raw Data, Grouped Column Scatter - Indexed Data, Grouped Interval Plot - Indexed Data, Grouped Mean Bar - Indexed Data, Grouped Violin - Indexed Data, Grouped Half Violin - Indexed Data, Grouped Half Box - Indexed Data.

Categorical

Violin Plots: Violin Plot, Violin with Box, Violin with Point, Violin with Quartile, Violin with Stick, Split Violin, Half Violin.

Statistical

Histograms: Histogram, Histogram + Rug, Histogram + Probabilities, Multi-Panel Histogram, Distribution, Distribution + Rug, Histogram with Labels, Stacked Histograms, Marginal Histograms.

Statistical

2D Kernel Density

Contour

Heatmap: Heatmap, Heatmap with Labels, Split Heatmap

Contour

Contour - Categorical Z

Contour

Cluster Plots

Categorical

Probability: Probability Plot, Q-Q Plot.

Statistical

Pareto and QC Chart: Pareto Chart - Binned Data, Pareto Chart - Raw Data, QC (X-bar R) Chart.

Statistical

Scatter Matrix

Statistical

Trellis Plot: Trellis Plot, Double-Y Trellis Plot, Double-Y Trellis Plot

Categorical

Parallel Plot: Parallel Plot, Parallel Sets, Parallel Index.

Categorical


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: One-Way ANOVA, Two-Way ANOVA

Statistics: ANOVA: One-Way Repeated Measure ANOVA OriginPro Symbol.png
  • Survival Curve
  • One Minus Survival Curve
  • Hazard Curve
  • Log Survival Curve
Statistics: Survival Analysis: Kaplan-Meier Estimator OriginPro Symbol.png
  • Scree Plot
  • Component Plot
Statistics: Multivariate Analysis: Principal Component Analysis OriginPro Symbol.png
  • Dendrogram
Statistics: Multivariate Analysis: Hierarchical Cluster Analysis OriginPro Symbol.png
  • Classification Summary Plot
  • Classification Fit Plot
  • Canonical Score Plot
Statistics: Multivariate Analysis: Discriminant Analysis OriginPro Symbol.png
  • ROC Curve
Statistics: ROC Curve OriginPro Symbol.png

Comparing One, Two or More Groups

Origin provides parametric and non-parametric tests to compare one, two, three or more groups.

Parametric Hypothesis Tests

Feature Menu Entry
  • One-Sample t-Test
  • Two-Sample t-Test
  • Pair-Sample t-Test
  • One-Sample Test for Variance OriginPro Symbol.png
  • Two-Sample Test for Variance OriginPro Symbol.png
Statistics: Hypothesis Testing
  • One-Sample Proportion Test OriginPro Symbol.png
  • Two-Sample Proportion Test OriginPro Symbol.png
Statistics: Hypothesis Testing
  • Two-Sample t-Test on Rows OriginPro Symbol.png
  • Pair-Sample t-Test on Rows OriginPro Symbol.png
Statistics: Hypothesis Testing

ANOVA

Feature Menu Entry
  • One-Way ANOVA
  • Two-Way ANOVA
  • Three-Way ANOVA
  • One-Way Repeated-Measures ANOVA OriginPro Symbol.png
  • Two-Way Repeated-Measures ANOVA OriginPro Symbol.png
(Supports both Balanced and Unbalanced data)
Statistics: ANOVA

Non-parametric Tests OriginPro Symbol.png

Feature Menu Entry
  • One-Sample Wilcoxon Signed Rank Test
  • Paired-Sample Wilcoxon Signed Rank Test
  • Paired-Sample Sign Test
  • Mann-Whitney Test
  • Two-Sample Kolmogorov-Smirnov Test
  • Kruskal-Wallis 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: Kruskal-Wallis ANOVA and Mood's Median Test
  • (NPH) Paired Samples: Paired-Sample Wilcoxon Signed Rank Test and Paired-Sample Sign Test
  • (NPH) Two Independent Samples: Mann-Whitney Test and Two-Sample Kolmogorov-Smirnov Test

Advanced Statistics

Several additional tools are available in OriginPro.

Multivariate Analysis OriginPro Symbol.png

Origin offers several multivariate analysis methods to help you simplify, classify, or make predictions from your data.

Feature Menu Entry
  • Principal Component Analysis
  • K-Means 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 OriginPro Symbol.png

OriginPro includes widely used survival tests to quantify survivorship in a population.

Feature Menu Entry
  • Kaplan-Meier Product-limit Estimator
  • Comparing Survival Curves
  • Cox Proportional Hazards Model
  • Weibull Fit Model
Statistics:Survival Analysis
Notes: Comparing Survival Curves is accessible in the Kaplan-Meier Product-limit Estimator feature.

Power and Sample Size OriginPro Symbol.png

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
  • One-Proportion Test
  • Two-Proportion Test
  • One-Sample t-Test
  • Two-Sample t-Test
  • Paired-Sample t-Test
  • One-Variance Test
  • Two-Variance Test
  • One-Way ANOVA
Statistics: Power and Sample Size

ROC Curve OriginPro Symbol.png

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
  • ROC Curve
Statistics: ROC Curve

Topics for Further Reading