Kavanaugh - Statistics for Business: Introduction

Introduction


Some investigative statistical tools are described below, with associated graphics. Click on graphic for larger image.

  • 9 Minitab graphs - click for Introduction to Minitab and Graphical Analysis Workshop Graphs - visually explore relationships among variables, look for outliers, confirm and visualize intuitively-understood relationships.

    Learn about making effective graphs to visualize relationships in our Introduction to Minitab and Graphical Analysis and Introduction to STATISTICA workshops.

  • Design of Experiments Workshop - Overlay Plot showing Simultaneous Optimization, from Design Expert Design of Experiments (DOE) - change many or several factors that affect process responses, in a minimum number of runs; simultaneously optimize several responses; build empirical models to predict response behaviour as a function of process factors.

    Learn about DOE in our Design of Experiments workshop, or in our Minitab workshops: Factorial Experimental Design, Response Surface Designs, Mixture Designs, DOE in Practice.

  • 3 SPC graphs for same data: I (Individual), EWMA, and CUSUM - click for larger image Statistical Process Control (SPC) - determine process stability; identify when process signals an out-of-control situation; use charts such as
    • Variable Control Charts: X-bar, Range, I, MR
    • Attribute Control Charts: c, u, p. np
    • One Point Signal Control charts: EWMA, Cusum charts
    When process is stable, assess capability using Process Capability Indices such as Cp, K, Cpk, Cpm, Cr, Pp, Pr.

    Learn about SPC in Process Control and Capability workshop, or in Minitab workshops: Quality Analysis for Manufacturing Quality, and Quality Analysis for Service Quality workshops.

  • Gage R&R (Crossed) graphs - click for larger image Measurement System Analysis (MSA) - assess measurement instrument stability (state of statistical control), determine and quantify MSA metrics:
    • gage R&R (Repeatability and Reproducibility),
    • precision, accuracy,
    • % study variation,
    • % P / T (Precisicion / Tolerance ratio),
    • discrimination,
    • bias, linearity of spread and bias;
    Use MSA metrics to decide if measurement system is good enough for it intended use, or needs improvement, and where it needs improvement.

    Learn about MSA in Minitab workshops: Quality Analysis for Manufacturing Quality and Quality Analysis for Service Quality workshops.

  • Multivari Chart showing response from 2^3 Full Factorial Designed Experiment - click for larger image Source of Variation Study (SOV) - quantify and rank contributions of factors to variations in responses; see how a Measurement Gage R&R study is a special case of an SOV study. Use Minitab Multi-Vari charts to visualize sources of variation, from SOV studies, Gage R&R studies, and also factorial designed experiments.