### Analysis Tools

Analysis Tools – Histogram, Pareto, Box Plot, Scatter, Dot Plot, Cpk :

Quantum XL supports a wide range of statistical analysis tools used in Quality Improvement and Six Sigma. Analysis tools include: Capability Analysis (Cpk), Histogram, Distribution Fit, Pareto, Box Plot, Dot Plot, Scatter Plot, Multi-Vari.

### Hypothesis Test and Power Calculations

Hypothesis Test for Mean, Median, and Variance :

Based upon the statistics in your dataset, Quantum XL will calculate and run the most appropriate test for your data (AutoTest). For the power user, bypass the AutoTest and use one of the 18 different supported hypothesis tests: AutoTest, Advisor Wizard, Tests for variance, Tests for mean, Tests for median, Attribute tests, Test for normality, Power and sample size analysis.

### Control Charts

Control Charts are commonly used for Statistical Process Control (SPC/SQC), Six Sigma, and Quality Improvement initiatives. SPC charts are used for identifying if a process is in control or not. Quantum XL supports control charts for both variables and attributes data (XbarR chart, XbarS chart, IMR chart, p Chart, np Chart, c Chart, u Chart)

### Measurement System Analysis (MSA)

Evaluate the uncertainty in a measurement system using Quantum XL’s MSA. Quantum XL’s statistical analysis through both the XbarR and ANOVA analysis methods are compliant with the AIAG Measurement System Analysis 4th edition.

### Data Template

Convenient way to collect your data in Excel and run a Quantum XL analysis. These templates are ideal methods to collect data in a Six Sigma setting.

### Flexible data formats

Data for statistical tools in Quantum XL can come from a Data Template worksheet, Excel spreadsheet, an SQL data source, or it can be entered manually.

### Component Swapping

Component Swapping is a process used to search for a root cause when problem solving. The goal is to rapidly determine if a branch contains the root cause(s). It involves changing components between a **Best of Best** (BOB) and a **Worst of Worst** (WOW) system.

### Fishbone Template/Diagram

Create a fishbone diagram from a template.

### Decision Trees/Risk Trees

Decision Tree is a visual decision making tool for risk management and mitigation, where the Expected Value or Expected Cost of a decision is structured and evaluated. It consists of branches and 3 types of nodes.

### Random Number Generation

Random statistical data can be generated from one or more of the supported distributions including Normal, Exponential, Uniform, Triangular, Log-Normal, Weibull, Gamma, Logistic, LogLogistic, Uniform Discrete, Poisson, Binomial, and Binary.

### Correlation and Covariance

Pearson’s correlation coefficient, Spearman’s correlation coefficient and covariance analysis can be calculated using Quantum XL software.

### Time Series Tools

Trend Analysis, Moving Average, Single Exponentially Weighted Moving Average, Double Exponentially Weighted Moving Average, Cross Correlation, Auto Correlation, Partial Auto Correlation with supporting statistics.

### Probability Calculators

Calculate the probabilities associated with the 14 Continuous and 7 Discrete distributions.

**Continuous Distributions**: Normal, Uniform, Exponential, Gamma, Logistic, LogLogistic, LogNormal, Weibull, Beta, Laplace, Triangular, Cauchy, Rayleigh, and Gumbel.

**Discrete Distributions**: Bernoulli, Binomial, Negative Binomial, Geometric, Hypergeometric, Uniform Discrete, and Poisson.

### Distribution Fitting

Distributions Fit is a process of finding the distribution that best fits the provided dataset**.
Auto Fit:** Choose to rank order best fit by Anderson Darling p-Value, AIC (Akaike Information Criteria), or BIC (Bayesian Information Criteria).

**Fit to Calculator**: Distribution fitting leads to calculations. Enter LSL and/or USL and Quantum XL will calculate the area out of spec, dpm, and Cpk.

**Non-Normal Cpk**: Quantum XL will calculate the Cpk for all distributions it fits.

**Probability Plots**: All distributions include a probability plot with confidence bounds.

**Johnson Transformation**: Transform a dataset to normality.

### Reliability Modeling

Maximum likelihood estimation of parameters for both censored (including left, right, and interval censored) and uncensored data. Includes probability plot, Anderson Darling calculation (if available) and probability calculations.