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training duration icon R - Design and Analysis of Experiments using R

Duration: 2 Days
Delivery Type: Classroom
Target Audience: Engineers, Quality Assurance
Course Number: 1000022
Method: Lecture with examples and exercises.
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Topicsss

A. Basic Statistical Methods

[Duration: 0.25 Days] Basic Statistical Concepts - Sampling and Sampling Distributions - Inferences About the Differences in Means, Randomized Designs: Hypothesis Testing, Confidence Intervals, Choice of Sample Size, Comparing a Single Mean to a Specified Value - Inferences About the Differences in Means, Paired Comparison Designs - Inferences About the Variances of Normal Distributions

B. Analysis of Variance (ANOVA)

[Duration: 0.25 Days] The Analysis of Variance - Analysis of the Fixed Effects Model: Decomposition of the Total Sum of Squares, Statistical Analysis, Estimation of the Model Parameters - Model Adequacy Checking - Determining Sample Size - The Random Effects Model - The Regression Approach to the Analysis of Variance

C. Experiments with Blocking Factors

[Duration: 0.25 Days] The Randomized Complete Block Design: Statistical Analysis of the RCBD, Model Adequacy Checking, Estimating Model Parameters and the General Regression Significance Test - The Latin Square Design - The Graeco-Latin Square Design - Balanced Incomplete Block Designs

D. Factorial Experiments

[Duration: 0.5 Days] The Two-Factor Factorial Design: Statistical Analysis of the Fixed Effects Model, Model Adequacy Checking, Estimating the Model Parameters, Choice of Sample Size - The General Factorial Design - Fitting Response Curves and Surfaces - Blocking in a Factorial Design

E. Two-Level Factorial Designs

[Duration: 0.25 Days] The 2² Design - The 2³ Design - The General 2k Design - A Single Replicate of the 2k Design - 2k Designs are Optimal Designs - The Addition of Center Points to the 2k Design - Blocking and Confounding Systems for Two-Level Factorials

F. Two-Level Fractional Factorial Designs

[Duration: 0.125 Days] Process Capability Analysis Using a Histogram or a Probability Plot - Process Capability Ratios - Process Capability Analysis Using a Control Chart - Process Capability Analysis with Attribute Data - Gauge and Measurement System Capability Studies

G. The 3k Factorial Design

[Duration: 0.125 Days] Notation and Motivation for the 3k Design - Confounding in the 3k Factorial Design - Fractional Replication of the 3k Factorial Design

H. Response Surface Methodology

[Duration: 0.25 Days] Introduction to Response Surface Methodology - The Method of Steepest Ascent - Analysis of a Second-Order Response Surface - Experimental Designs for Fitting Response Surfaces

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